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Unequal Sharing Using Multiples

In this worksheet, students solve problems involving unequal sharing and grouping using their knowledge of multiples.

'Unequal Sharing Using Multiples' worksheet

Key stage:  KS 2

Curriculum topic:  Ratio and Proportion

Curriculum subtopic:  Solve Fraction/Multiples Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we share a box of apples and give the same number to Ann as to Bill, they will each get the same number.

When we share a box of apples and say "for every two that Ann gets, Bill gets one", Ann will get more than Bill.

Example

There are 24 apples in a box.

Ann and Bill share them out.

For every two that Ann gets, Bill gets one.

How many apples do they each get?

Answer

Every time Ann takes 2 apples, Bill takes 1 apple. 

That's 3 apples taken.

They need to do this 24 ÷ 3 = 8 times.

So Ann takes 8 × 2 apples (the 8th multiple of 2).

Bill takes 8 × 1 apples (the 8th multiple of 1).

Ann takes 16 apples and Bill takes 8.

There are 15 apples in a tray.

Ann and Bill share them out.

For every two that Ann gets, Bill gets one.

How many apples does Bill get?

There are 15 apples in a tray.

Ann and Bill share them out.

For every two that Ann gets, Bill gets one.

How many apples does Ann get?

To make fresh pasta, we use this recipe.

"For every egg, use 100 g of flour."

How much flour, in g, is needed for 5 eggs?

Just write the number.

To make fresh pasta, we use this recipe.

"For every egg, use 100 g of flour."

How many eggs are needed for 700 g flour?

Just write the number.

To make pastry, we use 150 g of flour for each egg.

Fill in the table, to show how much flour is needed for each number of eggs.

Column A

Column B

2 eggs
1050 g flour
4 eggs
600 g flour
5 eggs
300 g flour
6 eggs
900 g flour
7 eggs
750 g flour

A bracelet is made of red beads and blue beads.

For every red bead, there are 3 blue beads.

If 27 blue beads are used, how many red beads are used?

A bracelet is made only of red beads and blue beads.

For every red bead, there are 4 blue beads.

If 30 beads are used in the bracelet, how many red beads are used?

A bracelet is made only of red beads and blue beads.

For every red bead, there are 4 blue beads.

If 30 beads are used in the bracelet, how many blue beads are used?

A bracelet is made only of red beads and blue beads.

For every red bead, there are 7 blue beads.

If 24 beads are used in the bracelet, how many red beads are used?

A bracelet is made only of red beads and blue beads.

For every red bead, there are 7 blue beads.

If 24 beads are used in the bracelet, how many blue beads are used?

  • Question 1

There are 15 apples in a tray.

Ann and Bill share them out.

For every two that Ann gets, Bill gets one.

How many apples does Bill get?

CORRECT ANSWER
5
EDDIE SAYS
They do this 15 ÷ 3 = 5 times.
Bill gets 5 × 1 = 5 apples.
  • Question 2

There are 15 apples in a tray.

Ann and Bill share them out.

For every two that Ann gets, Bill gets one.

How many apples does Ann get?

CORRECT ANSWER
10
EDDIE SAYS
They do this 15 ÷ 3 = 5 times.
Ann gets 5 × 2 = 10 apples.
  • Question 3

To make fresh pasta, we use this recipe.

"For every egg, use 100 g of flour."

How much flour, in g, is needed for 5 eggs?

Just write the number.

CORRECT ANSWER
500
EDDIE SAYS
5 × 100 = 500
  • Question 4

To make fresh pasta, we use this recipe.

"For every egg, use 100 g of flour."

How many eggs are needed for 700 g flour?

Just write the number.

CORRECT ANSWER
7
EDDIE SAYS
7 × 100 = 700
  • Question 5

To make pastry, we use 150 g of flour for each egg.

Fill in the table, to show how much flour is needed for each number of eggs.

CORRECT ANSWER

Column A

Column B

2 eggs
300 g flour
4 eggs
600 g flour
5 eggs
750 g flour
6 eggs
900 g flour
7 eggs
1050 g flour
EDDIE SAYS
Multiply the number of eggs by 150 to get the amount of flour.
  • Question 6

A bracelet is made of red beads and blue beads.

For every red bead, there are 3 blue beads.

If 27 blue beads are used, how many red beads are used?

CORRECT ANSWER
9
EDDIE SAYS
27 = 9 × 3, so 9 red beads are used.
  • Question 7

A bracelet is made only of red beads and blue beads.

For every red bead, there are 4 blue beads.

If 30 beads are used in the bracelet, how many red beads are used?

CORRECT ANSWER
6
EDDIE SAYS
Look at multiples...
1R, 4B
2R, 8B
3R, 12B...
6R, 24B - this adds up to 30 beads.
  • Question 8

A bracelet is made only of red beads and blue beads.

For every red bead, there are 4 blue beads.

If 30 beads are used in the bracelet, how many blue beads are used?

CORRECT ANSWER
24
EDDIE SAYS
Look at multiples...
1R, 4B
2R, 8B
3R, 12B...
6R, 24B - this adds up to 30 beads.
  • Question 9

A bracelet is made only of red beads and blue beads.

For every red bead, there are 7 blue beads.

If 24 beads are used in the bracelet, how many red beads are used?

CORRECT ANSWER
3
EDDIE SAYS
Look at multiples...
1R, 7B
2R, 14B
3R, 21B - this adds up to 24 beads.
  • Question 10

A bracelet is made only of red beads and blue beads.

For every red bead, there are 7 blue beads.

If 24 beads are used in the bracelet, how many blue beads are used?

CORRECT ANSWER
21
EDDIE SAYS
Look at multiples...
1R, 7B
2R, 14B
3R, 21B - this adds up to 24 beads.
---- OR ----

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