PN.8C, SEC 10, Practical add & sub (36)
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Question 1 of 36
1. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A construction worker needs to combine two steel beams, one 5 meters long and another 3 meters long.
Both lengths are correct to the nearest whole number.
What is the minimum and maximum total length of the combined beams?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 2 of 36
2. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A doctor records the blood pressure of two patients, one at 120.67 mmHg and another at 80.45 mmHg.
Both measurements are correct to two decimal places.
What is the minimum and maximum total blood pressure?
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Minimum length = mmHgMaximum length = mmHg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 3 of 36
3. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A civil engineer reduces the weight of a load from 300.67 kg to 120.34 kg.
Both weights are correct to two decimal places.
What is the minimum and maximum reduction in weight?
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Minimum weight = kgMaximum weight = kg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 4 of 36
4. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer measures two pipes, one with a length of 12 meters and another with a length of 8 meters.
Both measurements are correct to the nearest whole number.
What is the minimum and maximum total length of the combined pipes?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 5 of 36
5. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A construction worker needs to cut a 10-meter steel beam to make it 5 meters long.
Both measurements are correct to the nearest whole number.
What is the minimum and maximum length of the remaining piece?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 6 of 36
6. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A biochemist reduces the pH of a solution from 7.45 to 3.32.
Both pH values are correct to two decimal places.
What is the minimum and maximum reduction in pH?
-
Minimum pH =Maximum pH=
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 7 of 36
7. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A doctor prescribes two different medications, one with 150 mg and another with 75 mg.
Both dosages are correct to the nearest whole number.
What is the minimum and maximum total dosage?
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Minimum dosage = mgMaximum dosage = mg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 8 of 36
8. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer has a 15-meter pipe and needs to cut 8 meters off.
Both measurements are correct to the nearest whole number.
What is the minimum and maximum length of the remaining pipe?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 9 of 36
9. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A doctor reduces a patient’s systolic blood pressure from 150.67 mmHg to 90.45 mmHg.
Both measurements are correct to two decimal places.
What is the minimum and maximum reduction in blood pressure?
-
Minimum blood pressure = mmHgMaximum blood pressure = mmHg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 10 of 36
10. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A car mechanic has two different tire treads, one 8 mm and another 6 mm.
Both measurements are correct to the nearest whole number.
What is the minimum and maximum total tread depth?
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Minimum depth = mmMaximum depth = mm
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 11 of 36
11. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A doctor needs to reduce a patient’s medication from 100 mg to 25 mg.
Both dosages are correct to the nearest whole number.
What is the minimum and maximum reduction in dosage?
-
Minimum length = mgMaximum length = mg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 12 of 36
12. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An electrician is installing two cables, one 10 meters long and another 7 meters long.
Both lengths are correct to the nearest whole number.
What is the minimum and maximum total length of the cables?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 13 of 36
13. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A mechanic has a 12 mm thick tire and needs to reduce it to 6 mm.
Both measurements are correct to the nearest whole number.
What is the minimum and maximum reduction in tire thickness?
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Minimum length = mmMaximum length = mm
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 14 of 36
14. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A physicist measures the velocity of two objects, one at 3.2 m/s and another at 1.4 m/s.
Both velocities are correct to one decimal place.
What is the minimum and maximum combined velocity?
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Minimum velocity = m/sMaximum velocity = m/s
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 15 of 36
15. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An electrician is shortening a 20-meter cable to 8 meters.
Both lengths are correct to the nearest whole number.
What is the minimum and maximum reduction in cable length?
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Minimum length = mMaximum length = m
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 16 of 36
16. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer is measuring the pressure in two different pipes, one at 12.3 kPa and another at 8.7 kPa.
Both measurements are correct to one decimal place.
What is the minimum and maximum combined pressure?
-
Minimum pressure = kPaMaximum pressure = kPa
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 17 of 36
17. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A dietitian reduces the portion size of a meal from 500 grams to 200 grams.
Both weights are correct to the nearest whole number.
What is the minimum and maximum portion size after the reduction?
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Minimum size = gMaximum size = g
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 18 of 36
18. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A nurse administers two doses of medication, one at 5.5 mg and another at 2.3 mg.
Both dosages are correct to one decimal place.
What is the minimum and maximum total dosage?
-
Minimum dosage = mgMaximum dosage = mg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 19 of 36
19. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A physicist measures the velocity of a moving object and needs to reduce it from 15.2 m/s to 8.7 m/s.
Both velocities are correct to one decimal place.
What is the minimum and maximum reduction in velocity?
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Minimum size = m/sMaximum size = m/s
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 20 of 36
20. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A mechanic measures the torque of two different bolts, one at 23.4 Nm and another at 15.6 Nm.
Both measurements are correct to one decimal place.
What is the minimum and maximum total torque?
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Minimum torque = NmMaximum torque = Nm
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 21 of 36
21. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer needs to reduce the pressure in a system from 25.4 kPa to 12.8 kPa.
Both pressures are correct to one decimal place.
What is the minimum and maximum reduction in pressure?
-
Minimum size = kPaMaximum size = kPa
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 22 of 36
22. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An architect is calculating the total area of two rooms, one with 12.4 m² and another with 7.8 m².
Both areas are correct to one decimal place.
What is the minimum and maximum total area?
Lower bound: = 12.35 + 7.75 = 20.1 m²
Upper bound: = 12.45 + 7.85 = 20.3 m²-
Minimum length = m²Maximum length = m²
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 23 of 36
23. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A nurse reduces a patient’s medication from 50.5 mg to 20.3 mg.
Both dosages are correct to one decimal place.
What is the minimum and maximum reduction in dosage?
-
Minimum size = mgMaximum size = mg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 24 of 36
24. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A dietitian measures the fat content of two meals, one at 4.5 grams and another at 2.7 grams.
Both measurements are correct to one decimal place.
What is the minimum and maximum total fat content?
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Minimum fat content = gMaximum fat content = g
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 25 of 36
25. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A mechanic reduces the torque on a bolt from 33.6 Nm to 18.4 Nm.
Both torque values are correct to one decimal place.
What is the minimum and maximum reduction in torque?
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Minimum size = NmMaximum size = Nm
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 26 of 36
26. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer is calculating the resistance of two resistors, one at 5.67 ohms and another at 2.34 ohms.
Both values are correct to two decimal places.
What is the minimum and maximum total resistance?
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Minimum resistance = ohmsMaximum resistance = ohms
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 27 of 36
27. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An architect reduces the area of a planned room from 24.7 m² to 10.2 m².
Both areas are correct to one decimal place.
What is the minimum and maximum area after the reduction?
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Minimum area = m²Maximum area = m²
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 28 of 36
28. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A pharmacist measures the concentration of two solutions, one at 1.25 M and another at 0.78 M.
Both concentrations are correct to two decimal places.
What is the minimum and maximum combined concentration?
-
Minimum concentration = MMaximum concentration = M
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 29 of 36
29. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A dietitian reduces the sugar content of a recipe from 12.5 grams to 4.8 grams.
Both sugar contents are correct to one decimal place.
What is the minimum and maximum sugar content after the reduction?
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Minimum sugar content = gMaximum sugar content = g
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 30 of 36
30. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A physicist measures the frequency of two waves, one at 60.12 Hz and another at 20.34 Hz.
Both frequencies are correct to two decimal places.
What is the minimum and maximum combined frequency?
-
Minimum frequency = HzMaximum frequency = Hz
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 31 of 36
31. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
An engineer reduces the resistance in a circuit from 45.67 ohms to 22.34 ohms.
Both resistances are correct to two decimal places.
What is the minimum and maximum reduction in resistance?
-
Minimum resistance = ohmsMaximum resistance = ohms
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 32 of 36
32. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A civil engineer calculates the weight of two concrete slabs, one at 250.67 kg and another at 150.34 kg.
Both weights are correct to two decimal places.
What is the minimum and maximum total weight?
-
Minimum weight = kgMaximum weight = kg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 33 of 36
33. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A pharmacist reduces the concentration of a solution from 3.25 M to 1.78 M.
Both concentrations are correct to two decimal places.
What is the minimum and maximum reduction in concentration?
-
Minimum concentration= MMaximum concentration = M
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 34 of 36
34. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
Apples come in 0.4 kg packs and oranges come in 0.9 kg packs.
Both values are correct to 1 decimal place.
What is the minimum and maximum weights if both packs are purchased?
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Minimum weight = kgMaximum weight = kg
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 35 of 36
35. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A biochemist measures the pH of two solutions, one at 7.45 and another at 4.32.
Both pH values are correct to two decimal places.
What is the minimum and maximum combined pH?
-
Minimum pH =Maximum pH =
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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Question 36 of 36
36. Question
Topic: Lower and Upper Bounds with calculations (Higher Tier)
A physicist reduces the frequency of a wave from 90.12 Hz to 30.34 Hz.
Both frequencies are correct to two decimal places.
What is the minimum and maximum reduction in frequency?
-
Minimum frequency= HzMaximum frequency= Hz
⌨️ Enter your answer in the fields provided.
CorrectIncorrectHint
Consider how rounding affects each number in the calculation. Start by determining the smallest (lower bound) and largest (upper bound) possible values for each number after rounding. Then, use these bounds to calculate the overall lower and upper bounds of the final result. If you’re unsure, type code [LN.8] in the search bar for additional guidance.
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