Year 6 Ratio and proportion worksheet

“For every and repeats” is free to print, with no account. It is the first sheet in the Year 6 maths unit “Ratio and proportion”, for children aged 10 to 11, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 28 to 30 of the year, 10 sheets in the unit.

Free sample · answers on the last page

For every and repeats

Name: ____________ · Date: ____________
Year 6 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can describe a ratio with for every, and multiply the basic pattern to find the total.

A Look back3 min

1.
3 rows of 8 counters. 3 × 8 =
2.
Which number is a factor of 36?
57910
3.
Add the coins. How many pence altogether?

B Watch me, then you4 min

Ola threads beads in a repeat. For every 2 red beads there are 3 blue beads.

Watch me

2 red and 3 blue make one basic pattern of 5 beads.

Repeat it 4 times: 5 × 4 = 20 beads.

So 20 beads are 8 red and 12 blue.

Now you

1.
The basic pattern is 2 red and 3 blue. In 3 repeats, how many red beads?

C Your turn5 min

The pattern is always 2 red and 3 blue. Only the number of repeats changes.

1.
2 repeats. How many blue beads?
2.
4 repeats. How many blue beads?
3.
5 repeats. How many blue beads?
4.
10 repeats. How many blue beads?

Say it out loud: What changed in each row? What stayed the same, and how did that help you?

D Spot the mistake2 min

Kit says: “With 10 red beads there are 3 more blue beads, so 13 blue beads.”

1.
For every 2 red beads there are 3 blue beads. How many blue beads go with 10 red beads?

E Think deeper4 min

1.
Ari has 24 beads in a red and blue pattern. Write every basic pattern size from 2 to 24 that fits 24 beads exactly.

How did it feel?

I can do it Nearly Not yet

For the grown-up

For every and repeats · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 24

2. 9 If your child picks a number that does not divide 36 exactly, check with division. A factor leaves no remainder.

3. 90

B

1. 6 If your child writes 5, they added 2 and 3 to get the size of one pattern. Multiply the red beads in one pattern by the 3 repeats.

C

1. 6

2. 12

3. 15

4. 30

D

1. 15 If your child writes 13, they added 3 to 10. The ratio is about times, not about how many more. 10 red beads are 5 groups of 2, so 5 groups of 3 blue is 15.

E

1. 2, 3, 4, 6, 8, 12, 24

Words to use

Say“How many times is the pattern repeated? Multiply the pattern by that number.”

Instead of“Add the two numbers in the pattern together to find the total.”

After the sheet

Make a red and blue pattern with pasta or buttons: 2 red, then 3 blue. Repeat it 3 times and count the blue ones.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

9 more sheets come with a StudyDen plan, in teaching order:

Ratio with bars and multipliers(with a plan)
Bar models and batches(with a plan)
Finding missing ratio values(with a plan)
Parts and the whole(with a plan)
Scaling with maps(with a plan)
Reading maps with scale(with a plan)
Parts and wholes(with a plan)
Scaling shapes up and down(with a plan)
Matching every side(with a plan)

Every Year 6 maths worksheet

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