# Unequal Sharing Using Multiples

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

Key stage:  KS 2

Curriculum topic:   Ratio and Proportion

Curriculum subtopic:   Solve Fraction/Multiples Problems

Difficulty level:

### 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?

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 B

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

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

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

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

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

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?

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?

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.

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.

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.

## 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

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

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

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

6
EDDIE SAYS
Look at multiples...
1R, 4B
2R, 8B
3R, 12B...
• Question 8

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

24
EDDIE SAYS
Look at multiples...
1R, 4B
2R, 8B
3R, 12B...
• Question 9

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

3
EDDIE SAYS
Look at multiples...
1R, 7B
2R, 14B
• Question 10

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

21
EDDIE SAYS
Look at multiples...
1R, 7B
2R, 14B
---- OR ----

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