Ratios and fractions

The Maths Habit Handout to print

What can you say about these counters?

There are 3 pink and 5 blue

There are more blue than pink

3 out of the 8 are pink

How many parts altogether?

2 : 7 9

Ratio
Compares one part with another part.
Fraction
Compares one part with the whole.

The ratio of red to blue is 3 : 4.
What fraction is red?

The ratio of boys to girls is 1 : 2.
Lee says half the class are boys.
Is he right?

No. One third are boys.

The ratio of wins to losses is 3 : 5. What fraction are wins?

Wins: 38

3 + 5 = 8 parts altogether

The ratio of sand to cement is 4 : 3. What fraction is sand?

Sand: 47

The ratio of wins to losses is 3 : 5. What fraction are wins?

Wins: 38

The ratio of milk to tea is 2 : 5. What fraction is tea?

Tea: 57

310 are apples. The rest are pears. Write the ratio of apples to pears.

apples : pears = 3 : 7

10 − 3 = 7 parts are pears

59 are full. The rest are empty. Write the ratio of full to empty.

full : empty = 5 : 4

310 are apples. The rest are pears. Write the ratio of apples to pears.

apples : pears = 3 : 7

712 are adults. The rest are children. Write the ratio of adults to children.

adults : children = 7 : 5

310 are apples. The rest are pears. Write the ratio of apples to pears.

apples : pears = 3 : 7

58 of the cars are electric. The rest are petrol. Write the ratio of electric to petrol.

electric : petrol = 5 : 3

310 are apples. The rest are pears. Write the ratio of apples to pears.

apples : pears = 3 : 7

29 of the beads are glass. The rest are wood. Write the ratio of wood to glass.

wood : glass = 7 : 2

310 are apples. The rest are pears. Write the ratio of apples to pears.

apples : pears = 3 : 7

In a car park the ratio of vans to lorries is 4 : 7. What fraction are lorries?

Lorries: 711

Ratios and fractions worksheet, page 1

Ratios and fractions worksheet, page 2

Answer sheet

  1. In a choir the ratio of sopranos to altos is 3 : 2. 23 of the sopranos and 12 of the altos are adults. What fraction of the choir are adults?

    35
  2. 27 of the beads are red and 37 are blue. The rest are green. Write the ratio of red to blue to green.

    2 : 3 : 2

  1. Red to green is 2 : 7. What fraction are red?

    29
  2. 311 of a choir are men, the rest women. Write the ratio men to women.

    3 : 8
  3. Boys to girls is 4 : 5. Pia says 45 are boys. Is she right? Explain.

    No: 49 are boys
Exit tickets to print