# Reasoning and problem solving (Part 2)

## Lesson details

### Key learning points

1. In this lesson, we will continue to explore two types of problem in depth, thinking carefully about how to represent each problem in order to help us find a solution.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 4 Questions

Q1.
If 3f + 8 = 20. What is the value of f?
3
5
6
Q2.
Which expression would represent the following problem: The cost of a photo album book is £1.50 for binding and printing with an additional cost of 25p per photograph.
a = 150b + 25
Correct answer: a = 25b + 150
Q3.
a - 2b = 8. Which of the following pairs of numbers would work?
Correct answer: a = 10, b = 1
a = 10, b = 4
a = 5, b = 2
a = 8, b = 1
Q4.
A function machine has the rule x = 2y + 1. Where y is the input and x is the output. If we put 4 into the function machine (y = 4) what would come out?
10
11
8

## Exit quiz

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### 6 Questions

Q1.
If 4f - 8 = 20. What is the value of f?
3
5
9
Q2.
Which expression would represent the following problem: A singer makes money from selling music. They pay a one-off fee of £55 to Oak-Tunes for marketing and distribution costs and receive £1 for each copy of the album sold.
a = 55b + 1
Correct answer: a = b - 55
Q3.
Instead of writing 7 x a in an algebraic expression, what could I write instead?
7 + a
a7
Q4.
3c + 2d = 30. Which pair of numbers does does NOT work with this equation?
Correct answer: c = 3, d = 10
c = 4, d = 9
c = 6, d = 6
c= 2, d = 12
Q5.
Kate's age now is a multiple of three. In two years' time, her age will be a prime number. Which of the following could be her age?
28
29
30
Q6.
Sam's age now is a multiple of four. In four years' time, her age will be a square number. Which of the following could be her age?
20
21