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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 3: numbers rounded to a number of decimal places. You can earn a trophy if you get at least 7 questions correct.

1. A number, A, is rounded to one decimal place. The result is 1.1. What are the limits of accuracy? ≤ A < Correct Wrong
2. A number, B, is rounded to one decimal place. The result is 2.1. What are the limits of accuracy? ≤ B < Correct Wrong
3. A number, C, is rounded to one decimal place. The result is 3.5. What are the limits of accuracy? ≤ C < Correct Wrong
4. A number, D, is rounded to one decimal place. The result is 4.2. What are the limits of accuracy? ≤ D < Correct Wrong
5. A number, E, is rounded to two decimal places. The result is 0.52. What are the limits of accuracy? ≤ E < Correct Wrong
6. A number, F, is rounded to two decimal places. The result is 0.62. What are the limits of accuracy? ≤ F < Correct Wrong
7. A number, G, is rounded to two decimal places. The result is 0.76. What are the limits of accuracy? ≤ G < Correct Wrong
8. A number, H, is rounded to three decimal places. The result is 0.082. What are the limits of accuracy? ≤ H < Correct Wrong
9. A number, I, is rounded to three decimal places. The result is 0.096. What are the limits of accuracy? ≤ I < Correct Wrong
10. A number, J, is rounded to three decimal places. The result is 0.107. What are the limits of accuracy? ≤ J < Correct Wrong
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This is Upper and Lower Bounds level 3. You can also try:
Level 1 Level 2 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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An online darts game for one or two players requiring skill, strategy and mental arithmetic. It provides an enjoyable way to practise adding and subtracting two and three digit numbers.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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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.

Log in Sign up

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