Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Solve A Variety of Number Problems

In this worksheet, students will solve a variety of number problems with or without the aid of a calculator.

'Solve A Variety of Number Problems' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Use Four Operations for All Numbers

Popular topics:   Numbers worksheets

Difficulty level:  

Worksheet Overview

In this activity, we will be solving a variety of number problems.

 

Example

 

Which fraction is larger? A =
3
9
or B =
6
7

 

Answer

There are two ways we could work this out.

 

Method 1: Turn them into decimals.

 

3 ÷ 9 = 0.33333333.....

6 ÷ 7 = 0.8571428......, which is larger.

So, the answer is B

 

Method 2: Give the two fractions a common denominator.

 

The lowest common multiple of 9 and 7 is 63, so that will be our new denominator.

We multiplied the 9 by 7 to get 63, so we multiply the 3 by 7 to get 21.

We multiplied the 7 by 9 to get 63, so we multiply the 6 by 9 to get 54.

 

We now have A = 21/63 and B = 54/63

 

So, we can see that B is indeed bigger.

 

There is often more than one way to solve a problem - choose the one that works best for you!

 

green tick

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Popular Maths topics

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
    Finalist
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents