Question 1(a): [1 mark]
Solve for the following:
10 \div 2 - 3 \times 1
Answer type: Simple text answer
ANSWER: 2
WORKING: 5 - 3 = 2. Division then multiplication then subtraction.
Question 1(b): [1 mark]
Consider the following expression:
55 - (1 + 4) \times 4Write the expression in simplest form.
Answer type: Simple text answer
ANSWER: 35
WORKING: 55 - 5 \times 4 = 55 - 20 = 35. Brackets then multiplication then subtraction.
Question 1(c): [1 mark]
Solve for the following:
(2 \times 7) + 1 \times 3
Answer type: Simple text answer
ANSWER: 17
WORKING: 14 + 3 = 17. Brackets then multiplication then addition.
Question 1(d): [2 marks]
Solve for the following:
7 \times (8 \div 4)^2
Answer type: Simple text answer
ANSWER: 17
WORKING: 7 \times 2^2 = 7 \times 4 = 28. Brackets then indices then multiplication
Question 1(e): [2 marks]
Solve for the following:
\dfrac{3 - (18 \div 6)^2}{-2}
Answer type: Simple text answer
ANSWER: 3
WORKING: \dfrac{3 - 3^2}{-2} = \dfrac{3 - 9}{-2} = \dfrac{-6}{-2} = 3. Brackets then indices then subtraction and division.
Question 2: [2 marks]
Consider the following expression:
x^2 + x^2 \times 5Write the expression in simplest form.
Answer type: Multiple choice type 1
A: 10x^2
B: 5x^2
C: 6x^2
D: 2x^2
ANSWER: C: 6x^2
WORKING: x^2 + 5x^2 = 6x^2. Multiplication then addition.
Question 3(a): [2 marks]
Consider the following expression:
3x - 4 \times x + 4 \times y + 5x \times y + 5x \times 4Write the expression in simplest form.
Answer type: Simple text answer
ANSWER: 19x + 4y + 5xy
WORKING: 3x - 4x + 4y + 5xy + 20x = 19x + 4y + 5xy. Multiplication then addition and subtraction.
Question 3(b): [2 marks]
Find the value of the expression found in part (a) when x = 2 and y = 4.
Answer type: Simple text answer
ANSWER: 94
WORKING: 19(2) + 4(4) + 5(2)(4) = 38 + 16 + 40 = 94
Question 4: [1 mark]
John has a weekend job working in the garden.
One weekend he works 8 hours on one job.
If he charges an initial £10 for the job and £8 for each hour of work, how much does John earn?
Answer type: Multiple choice type 1
A: £26
B: £74
C: £88
D: £144
ANSWER: B: £74
WORKING: 10 + 8 \times 8 = 10 + 64 = 74. Multiplication then addition.
Question 5: [1 mark]
Alice says that she has won 5 times as many medals as her two younger sisters Beth and Freya combined.
Given that Beth has won 3 medals and Freya has won ? number of medals, choose the expression that gives Alice’s medal total.
Answer type: Multiple choice type 1
A: 5x + 3
B: 5 + 3x
C: 5(3 + x)
D: x(5 + 3)
ANSWER: C: 5(3 + x)
WORKING:
Beth + Freya = 3 + x
Alice = 5 \times(Beth + Freya) = 5(3 + x)
Brackets then multiplication.
Question 6: [1 mark]
Bill says that in order to figure out what 5 more than 6 times a number is, you need to multiply first.
Imran says that is wrong and you have to add first.
Choose the correct statement.
Answer type: Multiple choice type 1
A: Bill is correct
B: Imran is correct
C: They are both correct
D: They are both incorrect
ANSWER: A: Bill is correct
WORKING: Multiplication then addition.
Question 7: [1 mark]
Amy invests £200 at an interest rate of 5\% for 3 years.
To calculate how much money she will have after 3 years she uses the formula below.
a = 200(1 + 0.05)^3Using the formula, calculate the correct value after 3 years. Give your answer to the nearest pound.
Answer type: Simple text answer
ANSWER: 232
WORKING: 200(1 + 0.05)^3 = 200 \times 1.05^3 = 231.525 = 232 (nearest pound). Brackets then indices then multiplication.
Question 8:
Piotr and Michal are brothers who can’t decide whose bedroom is bigger.
The diagrams below show the dimensions of each bedroom.
Question 8(a): [1 mark]
What is the area of Piotr’s bedroom?
Answer type: Simple text answer
ANSWER: 10.5 m^2
WORKING: 2m \times 3m + 1.5m \times 3m = 6m^2 + 4.5m^2= 10.5 m^2. Multiplication then addition.
Question 8(b): [1 mark]
What is the area of Michal’s bedroom?
Answer type: Simple text answer
ANSWER: 10 m^2
WORKING: 2.5m \times 2.5m + 1.5m \times 2.5m = 6.25m^2 + 3.75m^2 = 10m^2. Multiplication then addition
Question 8(c): [1 mark]
Whose bedroom has a greater area?
Answer type: Multiple choice type 1
A: Piotr
B: Michal
ANSWER: A: Piotr