Year 10 units, estimation, rounding and bounds test to download as PDF

This Year 10 units, estimation, rounding and bounds test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 14-15, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Conversions
Calculator allowed.
1. Change 3.2 m² into cm². (1 mark)
2. A speed is 72 km/h. Change it to m/s. (2 marks)
3. Change 850 cm³ into litres. (1 mark)
Question 2 – Rounding and estimating
Calculator allowed.
1. Write 0.0357 to 2 significant figures. (1 mark)
2. Estimate \(\dfrac{49.6\times3.1}{0.52}\) by rounding to 1 significant figure. (2 marks)
3. Is your estimate bigger or smaller than the accurate answer? (1 mark)
Question 3 – Error intervals
Non-calculator.
1. A length is 6.7 cm, rounded to 1 decimal place. Write the error interval. (2 marks)
2. A mass \(m\) is 3800 g rounded to 2 significant figures. Write the error interval. (2 marks)
Question 4 – Problem: the garden
A rectangular garden is 12.5 m by 8.4 m. Each measurement is given to 1 decimal place. Calculator allowed.
1. Work out the upper bound of the area. (2 marks)
2. Work out the lower bound of the perimeter. (2 marks)
Question 5 – Higher: bounds
Higher tier. A car travels 200 m (to the nearest 10 m) in 12 s (to the nearest second).
1. Find the upper bound of its speed in m/s to 2 d.p. (2 marks)
2. Find the lower bound of the speed to 2 d.p. (2 marks)

How to use this Year 10 units, estimation, rounding and bounds test

First, revise with the units, estimation, rounding and bounds lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the units, estimation, rounding and bounds test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 10 units, estimation, rounding and bounds test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Units, estimation, rounding and bounds – Year 10 GCSE maths test to download as PDF

Question 1 – Conversions

Question 2 – Rounding and estimating

Question 3 – Error intervals

Question 4 – Problem: the garden

Question 5 – Higher: bounds

How to use this Year 10 units, estimation, rounding and bounds test

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