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Upper and Lower Bounds

Determine the upper and lower bounds when rounding or truncating quantities used in calculations.

Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Rounding

This is level 2: quantities rounded to a given multiple. You can earn a trophy if you get at least 7 questions correct.

1. The length of a pencil, p millimetres, is rounded to the nearest ten millimetres. The length is given as 170mm. What are the limits of accuracy?

Pencil
p < Correct Wrong
2. A set of kitchen scales displays readings to the nearest ten grams. Find the upper and lower bounds in grams for a weight, w, displayed as 200g.

Scales

200g

w < Correct Wrong
3. A digital thermometer measures temperatures (T) to the nearest two degrees. Find the range of possible temperatures if the display shows 64o.

64o

T < Correct Wrong
4. A number, D, is rounded to the nearest ten. The result is 430. What are the limits of accuracy? ≤ D < Correct Wrong
5. The numbers of pins in a box (n) is rounded to the nearest fifty. If the number of pins is given as 3000 find the smallest and largest number of pins that could be in the box. n < Correct Wrong
6. A number, F, is rounded to the nearest fifty. The result is 3100. What are the limits of accuracy? ≤ F < Correct Wrong
7. The numbers of supporters at a football match (S) is rounded to the nearest fifty. If the number of supporters is given as 3950 find the range of values within which the actual number of supporters could be. S < Correct Wrong
8. A number, H, is rounded to the nearest twenty. The result is 1660. What are the limits of accuracy? ≤ H < Correct Wrong
9. A plumbing supplier sells pipes cut to size. The length (L millimetres) of the cut pipe is rounded to the nearest twenty millimetres in order to calculate the cost. If the length of a particular piece of pipe is given as 2000 find the range of values within which the actual length could be. L < Correct Wrong
10. A number, J, is rounded to the nearest one hundred. The result is 10900. What are the limits of accuracy? ≤ J < Correct Wrong
Check

This is Upper and Lower Bounds level 2. You can also try:
Level 1 Level 3 Level 4 Level 5

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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Level 1 - Numbers truncated to a given multiple.

Level 2 - Quantities rounded to a given multiple.

Level 3 - Numbers rounded to a number of decimal places.

Level 4 - Quantities rounded to a number of significant figures.

Level 5 - Calculations involving upper and lower bounds.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Examples

This video is from the excellent Corbettmaths.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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