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The best method of multiplying 67 by 50 is to multiply by 100 then halve.

Multiplication and Division (Year 5)

Multiplication and division Year 5 extends skills further. Pupils work with larger numbers, solve problems with remainders, and apply knowledge to fractions, measures, and real-life contexts.

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Fascinating Fact:

Bacteria multiply very quickly, as one cell can divide into two, then four, then eight, so in a few hours there can be millions.

In KS2 Maths, Year 5 multiplication and division focuses on efficient strategies. Pupils practise long multiplication, division with remainders, and solving multi-step word problems using real-life examples.

Key Terms

Product: The answer to a multiplication calculation.
Remainder: The amount left over after division when numbers do not divide exactly.
Long Multiplication: A method for multiplying larger numbers step by step.

Frequently Asked Questions (Click to see answers)

What should Year 5 know in multiplication and division?

By Year 5, pupils should be confident with all times tables, use long multiplication, and divide numbers up to four digits, including with remainders.

How do you explain remainders in Year 5 maths?

Remainders are what is left after division when the number cannot be split equally. For example, 14 ÷ 4 = 3 remainder 2.

Why is long multiplication important in Year 5?

Long multiplication helps pupils multiply large numbers accurately. It prepares them for more complex problems in fractions, percentages, and algebra later on.

Try These Related Quizzes

1 .

Which strategy would be best to multiply 79 by 21?

Multiply by 10 then subtract 79

Multiply by 20 then add 79

Multiply by 10 then add 79

Multiply by 20 then subtract 79

To simplify it further you could multiply 79 by 2, then by 10 and finally add 79

2 .

How can one twentieth be calculated?

Find one tenth and halve

Find one fifth and double

Find one tenth and double

Find one fifth and halve

One twentieth is half of one tenth

3 .

22 ÷ 4 = 5 r 2. What fraction is the remainder 2?

Half

Quarter

Third

Eighth

The remainder can be expressed as ²?₄ or ¹?₂

4 .

What is the best method of multiplying 67 by 50?

Multiply by 100 then halve

Multiply by 100 then double

Multiply by 5 then multiply by 10

Divide by 100 then double

100 and 2 are easier numbers to multiply and divide than 50 is

5 .

How do we find a third of a number?

Multiply it by 3

Divide it by 6

Multiply it by 6

Divide it by 3

A third means the same as ÷ 3

6 .

Which gives the answer 43?

3 + (5 x 8) =

(3 + 5) x 8 =

3 + 5 x 8 =

(3 + 8) x 5 =

The calculation in the brackets is always done first

7 .

Which of these methods would result in finding ¹⁄₆?

Half one third

Half one quarter

Double one quarter

Double one third

A sixth is half a third

8 .

On a calculator the answer to a division is 7.2. How is this interpreted in money?

£72

£7.2

£7.20

£0.72

720p is the same as £7.20

9 .

Which strategy would be best to multiply 42 by 16?

Multiply by 8 then double

Multiply by 4 then double

Divide by 2 then multiply by 8

Divide by 8 then double

If a number in a problem is difficult to work with then try to break it down into easier to deal with numbers

10 .

What is the best method of multiplying 58 by 9?

Multiply by 10 then add 58

Multiply by 5 then add 58

Multiply by 10 then subtract 58

Multiply by 5 then subtract 58

10 is a much easier number to multiply than 9 is

You can find more about this topic by visiting BBC Bitesize - Multiplying and dividing

Author: Amanda Swift (Primary School Teacher & Educational Content Developer)

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