This document contains 13 word problems involving ratios and proportions. The problems cover a variety of ratio-based scenarios including mixing ingredients, counting items in groups, and relating totals to portions. The document also provides the answers to each of the problems at the end.

1. Word Problems (ratio &
proportion) Year 6
1
In class 5 there are 2 girls for
every 3 boys. There are 30
children in the class. How
many boys are
there?

2. Word Problems (ratio &
proportion) Year 6
2
In a box of 48 oranges 1 in
every 6 oranges is rotten. How
many rotten oranges are there?

3. Word Problems (ratio &
proportion) Year 6
3
Sam mixes 1 tin of blue paint
with 4 tins of white. He uses 15
tins of paint altogether. How
many tins of blue paint does he
use?

4. Word Problems (ratio &
proportion) Year 6
4
To make play dough you need
2 cups of flour to every 1 cup of
salt. How many cups of salt
would you need if you
used 10 cups of
flour?

5. Word Problems (ratio &
proportion) Year 6
5
At the swimming club there are
3 boys for every 4 girls. How
many girls are there if there are
21 boys?

6. Word Problems (ratio &
proportion) Year 6
6
John and Ken use the
telephone a lot. John makes 4
calls for every 6 that Ken
makes. They make 260 calls
altogether. How many calls do
John and Ken each make?

7. Word Problems (ratio &
proportion) Year 6
7
A builder mixes one part of
cement with four parts of
sand to make mortar. If he
mixes up 100 kg altogether,
how much is cement?
How much is sand?

8. Word Problems (ratio &
proportion) Year 6
8
Here is a pattern of squares
What is the proportion of white
squares in the whole pattern?

9. Word Problems (ratio &
proportion) Year 6
9
In a box of sweets, there are 3
boiled sweets to every 2 mints.
If there are 25 sweets in the box
altogether, how many of them
are boiled sweets and how
many are mints?

10. Word Problems (ratio &
proportion) Year 6
10
When Harry plays darts he
misses the board 3 times to
every 5 times he hits it. One
evening, he throws 120
times. How many times
Does he hit the board?

11. Word Problems (ratio &
proportion) Year 6
11
There are 7 milk chocolates to
every 4 dark in a box of 33
chocolates. How many milk
and dark chocolates are in the
box?

12. Word Problems (ratio &
proportion) Year 6
12
To make Acifed plant fertiliser,
you should mix 150ml of Acifed
with every 4.5l of water. What is
the ratio of Acifed to water?

13. Word Problems (ratio &
proportion) Year 6
13
Answers
1. 18 boys 8. ½
2. 8 oranges 9. 15 boiled, 10 mints
3. 3 tins 10. 75 hits
4. 5 cups 11. 21 milk, 12 dark
5. 28 girls 12. 1:30
6. J – 104, K - 156 calls
7. 20kg cement, 80kg sand