Encourage pupils to look at the size of the fraction each time and ask whether it will bridge a whole or not and add that onto the estimate of the whole number multiplied by the integer.

Keywords

Represent - To represent something means to show something in a different way.
Estimate - We can estimate to find a value that is close enough to the right answer, usually with some thought or calculation involved.
Mixed number - A whole number and a fraction can be combined to form a mixed number.
Improper fraction - An improper fraction is a fraction where the numerator is greater than the denominator.

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Worksheet

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Starter quiz

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6 Questions

Q1.

Tick the expressions.

Correct answer: 3 × $$ \frac{1}{2} $$

Correct answer: 4 × $$ 2\frac{3}{9} $$

Correct answer: $$ \frac{7}{8} $$ + 3

6 × $$ \frac{7}{8} $$ = 1

Q2.

Tick the correct expressions that represent the image.

Correct answer: 3 × $$ \frac{3}{4} $$

3 × $$ \frac{4}{3} $$

4 × $$ \frac{3}{4} $$

Correct answer: $$ \frac{3}{4} $$ × 3

Q3.

Tick the most appropriate estimation for 312 + 486

600

700

Correct answer: 800

900

Q4.

Tick expressions where the product would be less than one whole.

$$ \frac{5}{8} $$ × 2

$$ \frac{2}{6} $$ × 3

Correct answer: $$ \frac{1}{6} $$ × 2

Correct answer: $$ \frac{3}{9} $$ × 2

Correct answer: $$ \frac{2}{12} $$ × 4

Q5.

Tick the correct symbol to compare these two expressions.

Correct answer: >

Q6.

Order the expressions from largest to smallest.

1 - $$ \frac{2}{5} $$ × 4

2 - $$ \frac{3}{5} $$ × 2

3 - $$ \frac{1}{5} $$ × 5

4 - $$ \frac{4}{5} $$ × 1

5 - $$ \frac{5}{5} $$ × 0

Exit quiz

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6 Questions

Q1.

Tick the expression that matches the problem. Izzy runs $$ 2\frac{1}{4} $$ kilometres on both Saturday and Sunday.

$$ 2\frac{1}{4} $$ × 1

Correct answer: $$ 2\frac{1}{4} $$ × 2

$$ 2\frac{1}{4} $$ × 3

$$ 2\frac{1}{2} $$ × 4

Q2.

Tick the most appropriate estimates for $$ 4\frac{1}{6} $$ × 3

Correct answer: 12

Correct answer: 13

Q3.

Estimate the value of this expression. Give your estimate as a whole number. $$ 2\frac{1}{8} $$ × 3

Correct Answer: 6, six

Q4.

Give the missing numerator.

Correct Answer: 58, fifty eight, fifty-eight

Q5.

Tick the product of this equation. $$ 5\frac{1}{3} $$ × 2 = ___

Correct answer: $$ 10\frac{2}{3} $$

Correct answer: $$ \frac{32}{3} $$

$$ \frac{10}{3} $$

$$ 10\frac{1}{3} $$

$$ \frac{12}{3} $$

Q6.

Order the expressions from largest to smallest.

1 - $$ 1\frac{4}{5} $$ × 6

2 - $$ 1\frac{1}{5} $$ × 5

3 - $$ 1\frac{2}{5} $$ × 4

4 - $$ 1\frac{3}{5} $$ × 3

5 - $$ 1\frac{1}{5} $$ × 2