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Level 3-4 Numbers - Multiplication and Division
A chocolate box cost £6.00. If there are 30 chocolates in the box, how much does each chocolate cost?

Level 3-4 Numbers - Multiplication and Division

Master KS3 multiplication and division. Use facts, written methods, and inverse operations to solve problems accurately with whole numbers and decimals.

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Fascinating Fact:

In algebra, letters can represent unknowns, so 4x = 12 means x = 3 after dividing both sides by 4.

In KS3 Maths, you build secure methods for multiplying and dividing. You will use times tables, long multiplication, short and long division, and the inverse link between the two to check answers and solve multi-step problems with integers and decimals.

  • Product: The result of multiplication, for example 6 × 7 = 42.
  • Quotient: The result of division, for example 42 ÷ 7 = 6.
  • Inverse operations: Operations that undo each other, such as multiplication and division.
What is a quick way to multiply numbers in KS3?

Use place value and the distributive law. Example: 24 × 7 = (20 × 7) + (4 × 7) = 140 + 28 = 168. Long multiplication helps with larger numbers.

How do I divide by a two-digit number?

Use long division: divide, multiply, subtract, bring down, repeat. Example: 156 ÷ 12 = 13 because 12 goes into 156 exactly 13 times with no remainder.

How can I check a division answer is correct?

Multiply the quotient by the divisor to get the dividend. Example: if 96 ÷ 8 = 12, check with 12 × 8 = 96. This uses inverse operations.

1 .
What is the remainder of 628 / 9?
7
10
13
17
628 / 9 = 69 with a leftover number of 7
2 .
Sam bought 4 boxes of chocolates at £6.00 each. How much did he spend altogether?
£12.00
£16.00
£20.00
£24.00
4 boxes at £6.00 each. 4 x 6 = 24
3 .
To get 250, what must 50 be multiplied by?
5
10
15
20
The easiest way to work this one out is to divide 250 by 50
4 .
A CD case holds 15 CDs. How many cases are needed to store 100 CDs?
5
6
7
8
15 x 6 = 90, but there are 10 CDs leftover - these will be stored in the seventh case.
5 .
Delilah earns £8.40 an hour. If she works 40 hours a week, how much does she earn per week?
£300
£336
£380
£500
First multiply £8.40 x 4 to get £33.60 then multiply £33.60 x 10
6 .
A chocolate box cost £6.00. If there are 30 chocolates in the box, how much does each chocolate cost?
2p
10p
20p
50p
£6.00 = 600p. 600 / 30 = 20
7 .
Sam buys 4 boxes of chocolates. Each box holds 30 chocolates. How many chocolates are there in total?
34
60
90
120
4 x 30 = 120
8 .
What is the remainder of 75 / 4
2
3
5
9
18 x 4 = 72. 75 - 72 = 3
9 .
What is 123 x 123?
12,300
14,401
15,129
17,665
Both numbers end with a 3 and 3 x 3 = 9 so you know that the correct answer must end in a 9
10 .
What is 92 x 65 / 10?
500
550
598
600
92 x 65 / 10 is the same as 92 x 6.5
You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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