PA.3A, SEC 4, generating formulae (40)

Question 1 of 40

1. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The kinetic energy ( $KE$ ) of an object is calculated by multiplying 0.5 by the object’s mass ( $m$ ) and then by the square of its velocity ( $v$ ).
- KE = 0.5 × m × v²
- KE = m × v
- KE = 0.5 × m × v
- KE = m ÷ v
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 2 of 40

2. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average speed ( $v$ ) of a journey is calculated by dividing the total distance ( $d$ ) by the total time taken ( $t$ ).
- v = d ÷ t
- t = v ÷ d
- d = v ÷ t
- v = t × d
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 3 of 40

3. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average rainfall per month ( $r$ ) is calculated by dividing the total annual rainfall ( $R$ ) by 12 months.
- r = R ÷ 12
- R = r ÷ 12
- 12 = R ÷ r
- r = R × 12
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 4 of 40

4. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total charge ( $Q$ ) is found by multiplying the current ( $I$ ) by the time ( $t$ ) the current flows.
- Q = I × t
- Q = I ÷ t
- Q = t ÷ I
- Q = I × t²
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 5 of 40

5. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The unit price ( $u$ ) of an item is calculated by dividing the total cost ( $C$ ) by the number of items purchased ( $n$ ).
- u = C ÷ n
- C = u ÷ n
- n = C ÷ u
- u = C × n
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 6 of 40

6. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average calories per meal ( $c$ ) is calculated by dividing the total calories consumed in a day ( $C$ ) by the number of meals ( $m$ ).
- c = C ÷ m
- m = C ÷ c
- C = c ÷ m
- c = C × m
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 7 of 40

7. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The pressure ( $P$ ) is calculated by dividing the force ( $F$ ) by the area ( $A$ ).
- P = F ÷ A
- P = F × A
- P = A ÷ F
- P = F + A
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 8 of 40

8. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost per mile ( $c$ ) of a journey is calculated by dividing the total cost of the journey ( $C$ ) by the total distance traveled ( $d$ ).
- c = C ÷ d
- C = c ÷ d
- d = C ÷ c
- c = C × d
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 9 of 40

9. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The distance ( $d$ ) covered by a car, when it travels at a constant speed ( $v$ ) for a time ( $t$ ).
- d = v × t
- t = d ÷ v
- v = d ÷ t
- d = v + t
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 10 of 40

10. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The work done ( $W$ ) is calculated by multiplying the force ( $F$ ) by the distance ( $d$ ) moved in the direction of the force.
- W = F × d
- W = F ÷ d
- W = d ÷ F
- W = F × 2d
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 11 of 40

11. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The hourly pay rate ( $r$ ) is calculated by dividing the total earnings ( $E$ ) by the number of hours worked ( $h$ ).
- r = E ÷ h
- E = r ÷ h
- h = E ÷ r
- r = E × h
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 12 of 40

12. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average consumption of electricity per day ( $c$ ) is calculated by dividing the total electricity used ( $E$ ) over a period of days ( $d$ ).
- c = E ÷ d
- E = c ÷ d
- d = E ÷ c
- c = E × d
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 13 of 40

13. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The gravitational potential energy ( $GPE$ ) is calculated by multiplying the mass ( $m$ ), the gravitational field strength ( $g$ ), and the height ( $h$ ).
- GPE = m × g × h
- GPE = m × g ÷ h
- GPE = g ÷ m × h
- GPE = m × g
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 14 of 40

14. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost per unit weight ( $c$ ) is calculated by dividing the total cost ( $C$ ) by the weight ( $w$ ) in kilograms.
- c = C ÷ w
- C = c ÷ w
- w = C ÷ c
- c = C × w
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 15 of 40

15. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The power ( $P$ ) is calculated by dividing the energy transferred ( $E$ ) by the time ( $t$ ) taken.
- P = E ÷ t
- P = E × t
- P = t ÷ E
- P = E × t²
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 16 of 40

16. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average grade ( $g$ ) is calculated by dividing the total score ( $S$ ) by the number of tests taken ( $n$ ).
- g = S ÷ n
- S = g ÷ n
- n = S ÷ g
- g = S × n
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 17 of 40

17. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The acceleration ( $a$ ) is calculated by dividing the change in velocity ( $Δv$ ) by the time ( $t$ ) taken.
- a = Δv ÷ t
- a = Δv × t
- a = t ÷ Δv
- a = Δv + t
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 18 of 40

18. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The monthly cost per user ( $c$ ) for a subscription service is calculated by dividing the total monthly cost ( $C$ ) by the number of users ( $u$ ).
- c = C ÷ u
- C = c ÷ u
- u = C ÷ c
- c = C × u
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 19 of 40

19. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: Total revenue (£R) for selling t-shirts, where each t-shirt costs £20, and $q$ , the number of t-shirts sold.
- R = 20q
- q = 20 ÷ R
- R = q ÷ 20
- 20R = q
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 20 of 40

20. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The rate of water flow ( $r$ ) is calculated by dividing the volume of water used ( $V$ ) by the time ( $t$ ) it takes.
- r = V ÷ t
- V = r ÷ t
- t = V ÷ r
- r = V × t
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 21 of 40

21. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost (£C) of fuel for a journey, where fuel costs £1.50 per litre and $l$ , the number of litres used.
- C = 1.50l
- C = l ÷ 1.50
- 1.50C = l
- l = C ÷ 1.50
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 22 of 40

22. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average monthly rent ( $r$ ) is calculated by dividing the total yearly rent ( $R$ ) by 12 months.
- r = R ÷ 12
- R = r ÷ 12
- 12 = R ÷ r
- r = R × 12
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 23 of 40

23. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The weight ( $W$ ) of an object is the result of multiplying the mass ( $m$ ) by the gravitational field strength ( $g$ ).
- W = m × g
- m = W ÷ g
- g = W ÷ m
- W = m + g
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 24 of 40

24. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The time ( $t$ ) taken for a trip is calculated by dividing the total distance ( $d$ ) by the average speed ( $v$ ).
- t = d ÷ v
- v = t ÷ d
- d = t ÷ v
- t = d × v
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 25 of 40

25. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total earnings (£E) for a worker, when they earn £12 per hour and $h$ , the number of hours worked.
- E = 12h
- E = h ÷ 12
- h = 12 ÷ E
- 12E = h
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 26 of 40

26. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The annual income tax rate ( $r$ ) is calculated by dividing the total tax paid ( $T$ ) by the total income ( $I$ ).
- r = T ÷ I
- I = T ÷ r
- T = I ÷ r
- r = T × I
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 27 of 40

27. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total rent (£R) paid for a house, where the monthly rent is £850 and $m$ , the number of months rented.
- R = 850m
- R = m ÷ 850
- m = R ÷ 850
- 850R = m
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 28 of 40

28. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The population density ( $d$ ) is calculated by dividing the total population ( $P$ ) by the land area ( $A$ ).
- d = P ÷ A
- A = P ÷ d
- P = d ÷ A
- d = P × A
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 29 of 40

29. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: Total cost (£C) for boat tickets, when each ticket costs £25, and $p$ , the number of people traveling by boat.
- C = 25p
- P = 3 ÷ C
- 25n
- 25c = p
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 30 of 40

30. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total cost (£C) of a car journey, when the car’s fuel efficiency is 40 miles per gallon, the journey distance is $d$ miles, and fuel costs £1.60 per litre (4.54 litres per gallon).
- C = (d ÷ 40) × (1.60 × 4.54)
- C = (d × 40) ÷ (1.60 × 4.54)
- C = d × 40 × (1.60 ÷ 4.54)
- C = (d ÷ 40) × (1.60 ÷ 4.54)
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 31 of 40

31. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost per page ( $c$ ) of a printing job is calculated by dividing the total cost ( $C$ ) by the number of pages printed ( $p$ ).
- c = C ÷ p
- p = C ÷ c
- C = c ÷ p
- c = C × p
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 32 of 40

32. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The force ( $F$ ) is the result of multiplying the mass ( $m$ ) by the acceleration ( $a$ ).
- F = m × a
- F = a ÷ m
- F = m + a
- F = 2 × m × a
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 33 of 40

33. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total grocery cost (£C) for a week, when an average daily cost is £18 and $d$ , the number of days in the week groceries are purchased.
- C = 18d
- C = d ÷ 18
- d = C ÷ 18
- C = 18 ÷ d
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 34 of 40

34. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average cost of gas per month ( $g$ ) is calculated by dividing the total yearly gas bill ( $G$ ) by 12 months.
- g = G ÷ 12
- G = g ÷ 12
- 12 = G ÷ g
- g = G × 12
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 35 of 40

35. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The energy ( $E$ ) stored in a spring is found by multiplying 0.5 by the spring constant ( $k$ ) and then by the square of the compression distance ( $x$ ).
- E = 0.5 × k × x²
- E = k ÷ x
- E = 0.5 × k × x
- E = k × x
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 36 of 40

36. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost (£C) of a water bill, where each cubic metre of water costs £2.30 and $v$ , the number of cubic metres used.
- C = 2.30v
- C = v ÷ 2.30
- 2.30C = v
- v = C ÷ 2.30
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 37 of 40

37. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average steps per hour ( $s$ ) is calculated by dividing the total steps taken ( $S$ ) by the number of hours ( $h$ ) tracked.
- s = S ÷ h
- h = S ÷ s
- S = s ÷ h
- s = S × h
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 38 of 40

38. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The voltage ( $V$ ) is calculated by multiplying the resistance ( $R$ ) by the current ( $I$ ).
- V = I × R
- V = I ÷ R
- V = R ÷ I
- V = R + I
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 39 of 40

39. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The fuel efficiency ( $mpg$ ) of a car is calculated by dividing the total distance traveled ( $d$ ) by the number of gallons of fuel used ( $g$ ).
- mpg = d ÷ g
- mpg = d × g
- g = d ÷ mpg
- d = mpg × g
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡
Question 40 of 40

40. Question
Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The water usage per person ( $u$ ) is calculated by dividing the total water used ( $W$ ) by the number of people ( $p$ ).
- u = W ÷ p
- p = W ÷ u
- u = W × p
Correct

Incorrect

Hint

Hint: Understanding Formulae

A formula is a way to represent a calculation using symbols that stand for numbers, called variables. These variables can change, allowing us to calculate different results quickly by assigning new values to them.

For example, if we need to calculate the total cost (£C) for buying pencils at £2 each, we can use the formula C = 2p, where p is the number of pencils.

Another example: To calculate the average speed (S) of a car, we can use the formula S = ^d⁄_t, where d is the distance traveled, and t is the time taken. By changing the values of d or t, we can calculate the speed in various scenarios.

Formulae are useful for quick and repeated calculations in everyday life, engineering, science, and beyond. 💡

PA.3A, SEC 4, generating formulae (40)

PA.3A, SEC 4, generating formulae (40)

Quiz Summary

Information

Results

Results

Categories

1. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The kinetic energy (KE) of an object is calculated by multiplying 0.5 by the object’s mass (m) and then by the square of its velocity (v).

Hint

2. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average speed (v) of a journey is calculated by dividing the total distance (d) by the total time taken (t).

Hint

3. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average rainfall per month (r) is calculated by dividing the total annual rainfall (R) by 12 months.

Hint

4. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The total charge (Q) is found by multiplying the current (I) by the time (t) the current flows.

Hint

5. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The unit price (u) of an item is calculated by dividing the total cost (C) by the number of items purchased (n).

Hint

6. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average calories per meal (c) is calculated by dividing the total calories consumed in a day (C) by the number of meals (m).

Hint

7. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The pressure (P) is calculated by dividing the force (F) by the area (A).

Hint

8. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost per mile (c) of a journey is calculated by dividing the total cost of the journey (C) by the total distance traveled (d).

Hint

9. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The distance (d) covered by a car, when it travels at a constant speed (v) for a time (t).

Hint

10. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The work done (W) is calculated by multiplying the force (F) by the distance (d) moved in the direction of the force.

Hint

11. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The hourly pay rate (r) is calculated by dividing the total earnings (E) by the number of hours worked (h).

Hint

12. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The average consumption of electricity per day (c) is calculated by dividing the total electricity used (E) over a period of days (d).

Hint

13. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The gravitational potential energy (GPE) is calculated by multiplying the mass (m), the gravitational field strength (g), and the height (h).

Hint

14. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The cost per unit weight (c) is calculated by dividing the total cost (C) by the weight (w) in kilograms.

Hint

15. Question

Topic: Generating Formulae.

Please have pen and paper handy to show workings out. 📝

Select the formula that represents this information: The kinetic energy ( $KE$ ) of an object is calculated by multiplying 0.5 by the object’s mass ( $m$ ) and then by the square of its velocity ( $v$ ).

Select the formula that represents this information: The average speed ( $v$ ) of a journey is calculated by dividing the total distance ( $d$ ) by the total time taken ( $t$ ).

Select the formula that represents this information: The average rainfall per month ( $r$ ) is calculated by dividing the total annual rainfall ( $R$ ) by 12 months.

Select the formula that represents this information: The total charge ( $Q$ ) is found by multiplying the current ( $I$ ) by the time ( $t$ ) the current flows.

Select the formula that represents this information: The unit price ( $u$ ) of an item is calculated by dividing the total cost ( $C$ ) by the number of items purchased ( $n$ ).

Select the formula that represents this information: The average calories per meal ( $c$ ) is calculated by dividing the total calories consumed in a day ( $C$ ) by the number of meals ( $m$ ).

Select the formula that represents this information: The pressure ( $P$ ) is calculated by dividing the force ( $F$ ) by the area ( $A$ ).

Select the formula that represents this information: The cost per mile ( $c$ ) of a journey is calculated by dividing the total cost of the journey ( $C$ ) by the total distance traveled ( $d$ ).

Select the formula that represents this information: The distance ( $d$ ) covered by a car, when it travels at a constant speed ( $v$ ) for a time ( $t$ ).

Select the formula that represents this information: The work done ( $W$ ) is calculated by multiplying the force ( $F$ ) by the distance ( $d$ ) moved in the direction of the force.

Select the formula that represents this information: The hourly pay rate ( $r$ ) is calculated by dividing the total earnings ( $E$ ) by the number of hours worked ( $h$ ).

Select the formula that represents this information: The average consumption of electricity per day ( $c$ ) is calculated by dividing the total electricity used ( $E$ ) over a period of days ( $d$ ).

Select the formula that represents this information: The gravitational potential energy ( $GPE$ ) is calculated by multiplying the mass ( $m$ ), the gravitational field strength ( $g$ ), and the height ( $h$ ).

Select the formula that represents this information: The cost per unit weight ( $c$ ) is calculated by dividing the total cost ( $C$ ) by the weight ( $w$ ) in kilograms.

Select the formula that represents this information: The power ( $P$ ) is calculated by dividing the energy transferred ( $E$ ) by the time ( $t$ ) taken.

Select the formula that represents this information: The average grade ( $g$ ) is calculated by dividing the total score ( $S$ ) by the number of tests taken ( $n$ ).

Select the formula that represents this information: The acceleration ( $a$ ) is calculated by dividing the change in velocity ( $Δv$ ) by the time ( $t$ ) taken.

Select the formula that represents this information: The monthly cost per user ( $c$ ) for a subscription service is calculated by dividing the total monthly cost ( $C$ ) by the number of users ( $u$ ).

Select the formula that represents this information: Total revenue (£R) for selling t-shirts, where each t-shirt costs £20, and $q$ , the number of t-shirts sold.

Select the formula that represents this information: The rate of water flow ( $r$ ) is calculated by dividing the volume of water used ( $V$ ) by the time ( $t$ ) it takes.

Select the formula that represents this information: The cost (£C) of fuel for a journey, where fuel costs £1.50 per litre and $l$ , the number of litres used.

Select the formula that represents this information: The average monthly rent ( $r$ ) is calculated by dividing the total yearly rent ( $R$ ) by 12 months.

Select the formula that represents this information: The weight ( $W$ ) of an object is the result of multiplying the mass ( $m$ ) by the gravitational field strength ( $g$ ).

Select the formula that represents this information: The time ( $t$ ) taken for a trip is calculated by dividing the total distance ( $d$ ) by the average speed ( $v$ ).

Select the formula that represents this information: The total earnings (£E) for a worker, when they earn £12 per hour and $h$ , the number of hours worked.

Select the formula that represents this information: The annual income tax rate ( $r$ ) is calculated by dividing the total tax paid ( $T$ ) by the total income ( $I$ ).

Select the formula that represents this information: The total rent (£R) paid for a house, where the monthly rent is £850 and $m$ , the number of months rented.

Select the formula that represents this information: The population density ( $d$ ) is calculated by dividing the total population ( $P$ ) by the land area ( $A$ ).