Reasoning and problem solving (Part 2)

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.

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4 Questions

Q1.
If 3f + 8 = 20. What is the value of f?
3
Correct answer: 4
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
Correct answer: 9

6 Questions

Q1.
If 4f - 8 = 20. What is the value of f?
3
5
Correct answer: 7
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
Correct answer: 7a
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?
Correct answer: 27
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
Correct answer: 32
36

Lesson appears in

UnitMaths / Calculation problems