Term 1, Half-term test
Year 8
Timings
This test is to be completed within one lesson
Question
1a
Curriculum objective
N8.1D Write a number as the product of its prime factors.
Answer
23 × 3
1b
N8.1D Write a number as the product of its prime factors.
22 × 3 × 53
Question
2a
Curriculum objective
N8.1E Find the highest common factor (HCF) and lowest
common multiple (LCM).
Answer
12
2b
N8.1E Find the highest common factor (HCF) and lowest
common multiple (LCM).
3000
Additional guidance
1 mark for any equivalent form,
using only the prime factors 2
and 3
2 marks for any equivalent
form, using only the prime
factors (i.e. 2, 3, 5); or 1 mark
for at least two correct steps in
breaking 1500 down into its
prime factors
Total for question
Marks
2
Additional guidance
1 mark for identifying that 2 and
3 are prime factors of both
numbers
1 mark for 1500 × 24 ÷ 12
Marks
2
Total for question
Question
3a
3b
3c
3d
Curriculum objective
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
Answer
27
Additional guidance
3
5
2
4
Marks
1
36
1
53
1
74
1
Total for question
4
Term 1, Half-term test
Year 8
Question
4a
Curriculum objective
N9.1A Round numbers to a given number of significant figures.
Answer
300
4b
N9.1A Round numbers to a given number of significant figures.
29 000
1
4c
N9.1A Round numbers to a given number of significant figures.
0.0061
1
4d
N9.1A Round numbers to a given number of significant figures.
3.00
Question
5
Question
6
Curriculum objective
N7.4A Use estimates to check answers.
N8.2C Multiply decimals using a written method.
Curriculum objective
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
Answer
624 100
Answer
−6x2 + 6x
Additional guidance
Marks
1
Do not accept 3 or 3.0
1
Total for question
4
Additional guidance
1 mark for attempt to square
800
Total for question
Marks
4
Additional guidance
1 mark for each correct term;
ignore any subsequent
factorisation
Total for question
Marks
2
4
2
Term 1, Half-term test
Year 8
Question
7a
Curriculum objective
A8.1E Substitute values into expressions and formulae involving
powers or brackets.
Answer
55
Additional guidance
Marks
1
7b
A8.1E Substitute values into expressions and formulae involving
powers or brackets.
−4400
1 mark for attempting to square
20 and then multiply by −11
2
7c
A8.1E Substitute values into expressions and formulae involving
powers or brackets.
−2
1 mark for sight of −1
2
Total for question
Question
8a
8b
8c
Curriculum objective
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
A8.1B Simplify simple algebraic expressions involving powers,
using the index laws.
Answer
36x10
Additional guidance
1 mark for x10
5
Marks
2
12x5
1
x10
1
Total for question
4
Term 1, Half-term test
Question
9a
9b
9c
9d
9e
Curriculum objective
A8.2D Solve problems by writing and solving linear
equations.
A9.2B Construct and solve equations with the unknown on both
sides and including brackets and fractions.
A8.2D Solve problems by writing and solving linear
equations.
A9.2B Construct and solve equations with the unknown on both
sides and including brackets and fractions.
A8.2D Solve problems by writing and solving linear
equations.
A9.2B Construct and solve equations with the unknown on both
sides and including brackets and fractions.
A8.2D Solve problems by writing and solving linear
equations.
A9.2B Construct and solve equations with the unknown on both
sides and including brackets and fractions.
A8.2D Solve problems by writing and solving linear
equations.
A9.2B Construct and solve equations with the unknown on both
sides and including brackets and fractions.
Year 8
Answer
6(2x − 7)
Additional guidance
Marks
1
3(x + 5)
1
6(2x − 7) − 3(x + 5)
1
6(2x − 7) − 3(x + 5) = 24
accept equivalent equation
1
x=9
2 marks for 9x − 57 = 24 or
9x = 81;
3
or
1 mark for 12x − 42 − 3x − 15
Total for question
7
Total for test
39