Quiz about Year 7 Fractional Thinking

Question 1

This diagram does not show $$\frac{1}{5}$$ because:

Accepted Answer

the diagram it is not divided into 5 equal parts

Answer

it is an incorrect diagram

Answer

it is not a fraction

Answer

it is a decimal representation

Question 2

$$\frac{3}{5}=\frac{ }{10}$$ . You may use the bar model to help you.

Accepted Answer

6

Answer

7

Answer

5

Answer

4

Question 3

What fraction is the arrow pointing to?

Accepted Answer

5/6

Answer

1/4

Answer

3/4

Answer

1

Question 4

What do you need to add to this fraction to make 2?

Accepted Answer

7/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 5

Calculate. $$\frac{3}{8} + \frac{1}{8} + \frac{1}{8} = \_$$ ; $$\frac{5}{7} - \frac{2}{7} = \_$$ ; $$\frac{5}{12} + \frac{1}{4} = \_$$

Accepted Answer

$$\frac{5}{8}, \frac{3}{7}, \frac{2}{3}$$

Answer

$$\frac{1}{2}, \frac{1}{7}, \frac{3}{4}$$

Answer

$$\frac{1}{2}, \frac{3}{7}, \frac{2}{3}$$

Question 6

Complete the part-whole model.

Accepted Answer

$$\frac{1}{8}$$

Answer

$$\frac{2}{8}$$

Answer

$$\frac{3}{8}$$

Answer

$$\frac{4}{8}$$

Question 7

Write the mixed numbers as improper fractions. $$3\frac{1}{4} = \frac{\Box}{4}$$

Accepted Answer

$$\frac{13}{4}$$

Answer

$$\frac{12}{4}$$

Answer

$$\frac{7}{4}$$

Answer

$$\frac{10}{4}$$

Question 8

Write the mixed numbers as improper fractions. $$4\frac{2}{3} = \frac{\Box}{3}$$

Accepted Answer

$$4\frac{2}{3}$$ = $$\frac{14}{3}$$

Answer

$$4\frac{2}{3}$$ = $$\frac{12}{3}$$

Answer

4 $$\frac{2}{3}$$ = $$\frac{16}{3}$$

Answer

$$4\frac{2}{3}$$ = $$\frac{10}{3}$$

Question 9

Calculate $$3\frac{5}{12} + 2\frac{1}{3}$$ .

Accepted Answer

$$5\frac{3}{4}$$

Answer

$$5\frac{2}{3}$$

Answer

$$6\frac{1}{4}$$

Answer

$$6\frac{3}{4}$$

Question 10

Calculate $$\frac{1}{4} + 0.6$$ .

Accepted Answer

0.85

Answer

0.75

Answer

0.65

Answer

0.95

Question 11

Compare using <, > or =: $$\frac{6}{10} \; \Box \; 0.4 + \frac{2}{5}$$

Accepted Answer

<

Answer

=

Answer

>

Question 12

Given $$a = \frac{5}{6}$$ and $$b = \frac{2}{3}$$ , calculate $$a - b = \Box$$ and $$a + b = \Box$$ .

Accepted Answer

a - b = $$\frac{1}{6}$$ , a + b = $$\frac{3}{2}$$

Answer

a - b = $$\frac{1}{6}$$ , a + b = $$\frac{7}{6}$$

Answer

a - b = $$\frac{1}{3}$$ , a + b = $$\frac{5}{6}$$

Answer

a - b = $$\frac{1}{4}$$ , a + b = $$\frac{4}{3}$$

Question 13

Jay drinks $$7\frac{2}{5}$$ litres of water in a week.

Amina drinks $$5\frac{2}{3}$$ litres of water in a week.

How much more water does Jay drink than Amina?

Accepted Answer

$$1\frac{11}{15}$$ litres

Answer

$$1\frac{3}{5}$$ litres

Answer

$$2\frac{11}{15}$$ litres

Answer

$$2\frac{3}{5}$$ litres

Question 14

Write as a single fraction: $$\frac{2x}{5} + \frac{3x}{10}$$ .

Accepted Answer

$$\frac{7x}{10}$$

Answer

$$\frac{5x}{10}$$

Answer

$$\frac{6x}{10}$$

Answer

$$\frac{x}{2}$$

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