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💼 You received a job offer with an annual salary of £47,350.
You know that you do not pay tax on the first £12,500 of your salary, and the remaining amount is taxed at 22%.
🔢 Estimate the amount of money you will take home after taxes.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🚰 You are measuring the increase in water flow rate through a new pipe installation. The initial flow rate is 12 litres per minute.
After upgrading the pipe system, the flow rate increases by 27%.
🔢 Estimate the new water flow rate after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🏠 You are buying a house for £275,000 and need to estimate the total amount you will pay with a mortgage interest rate.
Your mortgage has an interest rate of 3.5% per year, and you plan to pay off the mortgage over 28 years.
🔢 Estimate the total amount you will pay in interest over the life of the mortgage.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

💡 You are calculating the increase in power output of an electrical circuit. The initial power output is 180 watts.
After upgrading the circuit components, the power output increases by 11%.
🔢 Estimate the new power output after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🚗 You are buying a new car for £22,500.
The dealership offers a discount of 18% on the purchase price.
🔢 Estimate the final price you will pay for the car after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🏗️ You are managing a construction project and need to estimate the amount of concrete required.
The total volume of concrete needed for the project is 2,783 cubic metres.
You estimate that approximately 33% of the total volume will be used for the foundation work.
🔢 Estimate the total volume of concrete that will be used for the foundation work.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🛋️ You are buying a new sofa for £1,750.
The store is offering a discount of 12% on all furniture.
🔢 Estimate the final price you will pay for the sofa after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🏗️ You are calculating the increase in the height of a building after an extension project. The initial height of the building is 40 metres.
After the extension, the height of the building increases by 12%.
🔢 Estimate the new height of the building after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

📱 You are buying a new smartphone for £899.
The store is offering a discount of 12% on all electronics.
🔢 Estimate the final price you will pay for the smartphone after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🩺 As a nurse, you need to calculate the amount of a solution needed for a procedure. The procedure requires 30% of a 500 ml solution.
🔢 Estimate the amount of the solution required for the procedure.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

📚 You are buying a set of textbooks for £315.
The bookstore is offering a discount of 20% on all purchases.
🔢 Estimate the final price you will pay for the textbooks after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🏠 You are painting a room and need to calculate the amount of paint required.
One can of paint covers 37 m².
The room has a total wall area of 88 m².
You estimate that you will need to apply a second coat to 40% of the room.
🔢 Estimate the total number of tins of paint needed for the job, including the second coat.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🖥️ You are buying a new laptop for £1,299.
The store is offering a discount of 40% on all electronics.
🔢 Estimate the final price you will pay for the laptop after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🎨 You are repainting your fence and need to calculate the amount of paint required.
One can of paint covers 34 m².
The fence has a total area of 173 m².
You estimate that you will need to apply a second coat to 50% of the fence.
🔢 Estimate the total number of tins of paint needed for the job, including the second coat.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

⛽ You are filling up your car with petrol. The cost of petrol is £1.35 per litre, and your car needs 50 litres of petrol.
The petrol station is offering a discount of 5% on the total cost of the petrol.
🔢 Estimate the final price you will pay for the petrol after the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🌳 You are planting a garden and need to calculate the amount of soil required.
One bag of soil covers 2 m² to a depth of 5 cm.
The garden has a total area of 52 m².
You estimate that you will need to apply an additional 10% of soil to certain areas for better growth.
Assume that the depth of soil is uniform across the garden.
🔢 Estimate the total number of bags of soil needed for the job, including the additional coverage.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔧 You are managing an engineering project, and the cost of materials has increased. The initial cost of materials was £8,500.
Due to market changes, the cost of materials has increased by 18%.
🔢 Estimate the new cost of materials after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔨 You are a carpenter working on a decking project and need to calculate the amount of wood required.
One plank of wood covers 1.2 m².
The total area of the decking is 45 m².
You estimate that you will need to add an additional 19% for waste and cutting errors.
Assume that the planks are laid uniformly across the decking and that you can only buy whole planks.
🔢 Estimate the total number of planks of wood needed for the job, including the additional coverage.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

💊 You are managing a medical supply inventory, and the cost of certain medicines has increased. The initial cost of the medicines was £12,000.
Due to increased demand, the cost of the medicines has increased by 25%.
🔢 Estimate the new cost of the medicines after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

✈️ You are planning a long-haul flight and need to calculate the amount of fuel required.
The aircraft burns 5,000 litres of fuel per hour.
The total flight duration is 8.5 hours.
You estimate that you will need to add an additional 12% of fuel for reserves and unexpected delays.
Assume that the fuel consumption is consistent throughout the flight.
🔢 Estimate the total amount of fuel needed for the flight, including the additional reserve.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔬 You are studying the expansion of a metal rod due to heating. The initial length of the rod is 1.88 metres.
When heated, the rod expands by 12% of its original length.
🔢 Estimate the new length of the rod after expansion.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.
1 metre = 100 cm.

🚜 You are managing a construction site and need to estimate the fuel needed for a generator.
The generator consumes 75 litres of fuel per day.
The project is expected to run for 18 days.
You should add an additional 10% of fuel for unexpected needs and emergencies.
Assume the fuel consumption is consistent throughout the project.
🔢 Estimate the total amount of fuel required for the project, including the additional emergency reserve.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

⚛️ You are observing the increase in pressure inside a gas cylinder. The initial pressure inside the cylinder is 110 kPa.
After heating, the pressure inside the cylinder increases by 17%.
🔢 Estimate the new pressure inside the cylinder after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🚗 You are planning a road trip and need to estimate the total distance you will travel.
The first leg of the trip is 320 kilometres, and the second leg is 210 kilometres.
You plan to make detours adding up to approximately 16% of the total distance for sightseeing and breaks.
Assume that the distances are accurate and the detour percentage is based on the combined trip distance.
🔢 Estimate the total distance of the road trip, including the detours.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🌡️ You are studying the increase in temperature of a liquid in a container. The initial temperature of the liquid is 22°C.
After applying heat, the temperature of the liquid increases by 35%.
🔢 Estimate the new temperature of the liquid after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🚿 You are designing a rainwater harvesting system and need to estimate the total volume of water collected from a roof.
The rainwater flows through a downspout with a flow rate of 195 litres per hour.
You expect rainfall to last for 3 hours and 45 minutes.
To account for potential overflow and variations in rainfall intensity, you plan to add an extra 12% to the estimated volume.
Assume the flow rate is steady throughout the rainfall period.
🔢 Estimate the total volume of water that will be collected, including the extra capacity for overflow.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔧 You are studying the increase in load capacity of a new bridge design. The initial load capacity of the bridge is 820 tonnes.
After structural improvements, the load capacity increases by 23%.
🔢 Estimate the new load capacity of the bridge after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔧 You are evaluating the increase in tensile strength of a new alloy. The initial tensile strength of the alloy is 500 MPa (megapascals).
After a treatment process, the tensile strength increases by 18%.
🔢 Estimate the new tensile strength of the alloy after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🛒 You are at a supermarket and need to estimate the total amount you will save with a discount.
The total cost of your groceries is £183.
The supermarket is offering a 12% discount on all purchases.
🔢 Estimate the amount you will save with the discount.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.

🔩 You are examining the increase in the diameter of a metal rod after a manufacturing process. The initial diameter of the rod is 2.8 cm.
After the process, the diameter increases by 15%.
🔢 Estimate the new diameter of the rod after the increase.
Hint: When estimating by rounding to 1 significant figure, always round each number to the most significant figure first. The most significant figure is the first non-zero digit in a number.
For example, if you have the number 8.76, you focus on the 8|7. Since the 7 is 5 or more, you round up to 9.
If you have the number 2.34, you focus on the 2|3. Since the 3 is less than 5, you round down to 2. Use these rounded values in your calculation.
If you want to review rounding, you can do so in the Learn stage by typing LN.1 in the search bar.
1 cm = 10 mm.
