Initial Diagnostic Audit - Foundation Course - Unit 6: Decimals - Multiplication and Division
Section 6.1 - Multiplication of Whole Numbers
1. Mark saves £3 each week.

(a) How much has he saved after 6 weeks? £

(b) How many more weeks will it take him to save £30?

2. One wall of a room is tiled. There are 12 tiles along the horizontal and 6 tiles along the vertical, as shown below?

(a) How many tiles are there in total?

(b) Tiles come in boxes of 8.
How many boxes of tiles will be needed to tile this wall?

Section 6.2 - Long Multiplication
3. Find, by any method other than using a calculator:

(a) 42 × 52 =

(b) 19 × 56 =

(c) 58 × 18 =

(d) 46 × 27 =

(e) 112 × 23 =

(f) 234 × 41 =

Section 6.3 - Multiplying with Decimals
4. Find:

(a) 2 × 0.6 =

(b) 5 × 0.3 =

(c) 3 × 0.4 =

(d) 11 × 8.3 =

(e) 6.1 × 23 =

(f) 59 × 4.2 =

5. Calculate:

(a) 2 × 6.9 × 5 =

(b) 100 × 24.3 =

(c) 2 × 50 × 4.72 =

(d) 2.49 × 1000 =

(e) 4 × 250 × 3.6 =

(f) 10 × 27.21 × 10 =

6. Given that 46 × 93 = 4278, find, without further calculation:

(a) 4.6 × 9.3 =

(b) 46 × 0.93 =

(c) 4600 × 0.93 =

Section 6.4 - Problems Involving Multiplication
7. A textbook costs £4. How much will 28 textbooks cost in total? £
8. A box of chocolate contains 12 chocolates. How many chocolates will there be in total in 5 of these boxes of chocolates?
9. Ribbon is sold for 43p a metre. What is the cost of 10 metres of ribbon? £
10. An adult's meal costs £5.99 and a child's meal costs £1.99.
Find the cost of meals for 2 adults and 3 children. £
11. The price of a carpet is £3.99 per square metre. What is the cost of 12 square metres of this carpet?
£
Section 6.5 - BODMAS
12. Calculate:

(a) 5 + 3 × 4 =

(b) 4 × 8 - 2 =

(c) 6 - 8 + 10 =

(d) 5 × 3 + 5 =

(e) 42 ÷ 6 + 3 =

(f) 4 × 3 + 5 × 6 =

13. Find:

(a) 400 ÷ 4 =

(b) 60 ÷ 4 =

(c) 144 ÷ 16 =

(d) 128 ÷ 8 =

(e) 208 ÷ 8 =

(f) 240 ÷ 16 =

Section 6.6 - Division Methods for Whole Numbers and Decimals
14. Calculate:

(a) 120 ÷ 10 =

(b) 75 ÷ 10 =

(c) 256 ÷ 100 =

(d) 8600 ÷ 100 =

(e) 27000 ÷ 1000 =

(f) 4762 ÷ 1000 =

15. Calculate:

(a) 93 ÷ 3 =

(b) 6464 ÷ 8 =

(c) 595 ÷ 5 =

(d) 162 ÷ 6 =

(e) 3012 ÷ 12 =

(f) 2080 ÷ 32 =

16. Carry out the following divisions, giving your answers as decimals:

(a) 22 ÷ 4 =

(b) 79 ÷ 2 =

(c) 60 ÷ 8 =

(d) 2.32 ÷ 2 =

(e) 90.15 ÷ 5 =

(f) 8.75 ÷ 5 =

Section 6.7 - Division Problems
17. A pencil costs 9p. How many pencils can be bought with 72p?
18. Four boys share £18 equally between them. How much does each boy get? £
19. Alan buys 12 tickets for a concert. He pays £66 in total. How much does each ticket cost?
£
20. A train with seven identical carriages can seat 504 passengers. How many people can each carriage seat?
21. £425.52 is shared equally between three people. How much does each person get? £

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Produced by Russell Geach for CIMT - March 2017