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Rough Answers

An exercise on rounding values in a calculation to find an approximate estimate of the answer.

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

This is level 1: round the numbers in a basic calculation to one significant figure to obtain an approximate answer. You will be awarded a trophy if you get at least 9 correct and you do this activity online.

\(59 + 81 + 28\)

Correct Wrong

\(59 + 81 + 24\)

Correct Wrong

\(83 + 36 + 99\)

Correct Wrong

\(58 + 72 - 5\)

Correct Wrong

\(56 - 52 + 891\)

Correct Wrong

\(618 - 28 - 87\)

Correct Wrong

\(63 \times 67\)

Correct Wrong

\(21 \times 93\)

Correct Wrong

\(27 \times 98 + 797\)

Correct Wrong

\(1123 \times 2\)

Correct Wrong

\(7892 \div 39\)

Correct Wrong

\(997 + 68 \times 78\)

Correct Wrong

Check

This is Rough Answers level 1. You can also try:
Level 2 Level 3 Level 4

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.

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Jen, Australia

Saturday, June 1, 2019

"I just tried level one. It looks like a great way to reinforce significant figures to students, through mental estimates! However, the question says give answers to one significant figure - and I just got most of the questions "wrong", as your answers are mostly to 2 significant figures."

Transum,

Sunday, June 2, 2019

"Thanks very much for your feedback Jen. The instructions ask for the numbers in the questions to be rounded to one significant figure; not the answers. The answers should be given exact after the pre-calculation rounding has taken place. Once again thanks for the feedback, much appreciated."

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Description of Levels

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Rounding - Before doing these exercises you will need to know how to round numbers to one significant figure.

Level 1 - Round the numbers in a basic calculation to one significant figure to obtain an approximate answer

Level 2 - Round the numbers to one significant figure to obtain an approximate answer to calculations including decimals and fractions

Level 3 - Determine whether an approximation is a over-estimate or an under-estimate if each of the numbers are rounded to one significant figure

Level 4 - Real life problems and puzzles

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

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

Breathe Easily - A real-life question that can be (roughly) answered by making some approximations.

Fermi Problem - Unleash your approximating skills to estimate something quite unknown in this Advanced Starter.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

The video above is from the maths520 channel.

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