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Problem Analysis and Solution

The worksheet focuses on recalling and using multiplication facts for the 8-times table. Let's solve each section step by step.

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#### Section 1: Complete the following as quickly as you can.

We need to use the 8-times table and basic arithmetic operations to fill in the blanks.

1. a) \( 4 \times 8 = \)
- \( 4 \times 8 = 32 \)
- Answer: 32

2. b) \( 7 \times 8 = \)
- \( 7 \times 8 = 56 \)
- Answer: 56

3. c) \( 8 \times 5 = \)
- \( 8 \times 5 = 40 \)
- Answer: 40

4. d) \( 72 \div 8 = \)
- \( 72 \div 8 = 9 \)
- Answer: 9

5. e) \( 96 \div 8 = \)
- \( 96 \div 8 = 12 \)
- Answer: 12

6. f) \( 88 \div \_\_ = 8 \)
- To find the missing number, solve \( 88 \div x = 8 \):
\[
x = \frac{88}{8} = 11
\]
- Answer: 11

7. g) \( 8 \times \_\_ = 48 \)
- To find the missing number, solve \( 8 \times x = 48 \):
\[
x = \frac{48}{8} = 6
\]
- Answer: 6

8. h) \( \_\_ \div 8 = 8 \)
- To find the missing number, solve \( x \div 8 = 8 \):
\[
x = 8 \times 8 = 64
\]
- Answer: 64

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#### Section 2: Year 3 were counting forwards in eights, starting with 8.

1. a) What was the fifth number they said?
- The sequence is: \( 8, 16, 24, 32, 40, \ldots \)
- The fifth number is \( 8 \times 5 = 40 \).
- Answer: 40

2. b) The \_\_th number they said was 56.
- To find the position of 56 in the sequence, solve \( 8 \times n = 56 \):
\[
n = \frac{56}{8} = 7
\]
- Answer: 7

3. c) What was the number they said after 24?
- The sequence is: \( 8, 16, 24, 32, \ldots \)
- The number after 24 is \( 24 + 8 = 32 \).
- Answer: 32

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#### Section 3: Solve the following.

1. a) There were 8 times as many blue cubes as red cubes in a box. There were 6 red cubes. How many blue cubes were there?
- Number of blue cubes = \( 8 \times \) (number of red cubes)
- Number of blue cubes = \( 8 \times 6 = 48 \)
- Answer: 48

2. b) Rafe needed £96 for some games. He had saved one eighth of the amount needed. How much had he saved?
- Amount saved = \( \frac{1}{8} \times 96 \)
- Amount saved = \( \frac{96}{8} = 12 \)
- Answer: £12

3. c) There were 8 times as many children as adults at the park. There were 5 adults. How many people were there altogether?
- Number of children = \( 8 \times \) (number of adults)
- Number of children = \( 8 \times 5 = 40 \)
- Total number of people = (number of children) + (number of adults)
- Total number of people = \( 40 + 5 = 45 \)
- Answer: 45

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Final Answers:

1. Section 1:
- a) 32
- b) 56
- c) 40
- d) 9
- e) 12
- f) 11
- g) 6
- h) 64

2. Section 2:
- a) 40
- b) 7
- c) 32

3. Section 3:
- a) 48
- b) £12
- c) 45

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Section 1:} \\
\text{a) 32, b) 56, c) 40, d) 9, e) 12, f) 11, g) 6, h) 64} \\
\text{Section 2:} \\
\text{a) 40, b) 7, c) 32} \\
\text{Section 3:} \\
\text{a) 48, b) £12, c) 45}
\end{array}
}
\]