Collins Tests & Assessment - KS3 Maths Progress Tests

Year 7: Algebra

Core

No calculatorName: __________________________________ Class: ______________ Date: _______________

1 Work out: a 2 + 3 × 5 = _____________________

[1 mark]

b 3 × 8 – 5 = _____________________

[1 mark]

c 3 × 10 − 6 × 2 = _____________________

[1 mark]

2 When t = 4, work out the value of: a t + 8 = _____________________

[1 mark]

b 5t = _____________________

[1 mark]

c 3t – 8 = ____________________

[1 mark]

d 2(t + 6) = _______________________

[1 mark]

3 When x = 5, show that 3x − 1 and 2(x + 2) have the same value.

[2 marks]

______________________________________________________________________ ______________________________________________________________________ 4 When n = 4, three of these expressions have the same value. Circle the odd one out.

3n

n+8

1 + 2n

[1 mark]

2(n + 2)

______________________________________________________________________ 5

a Work out the length of this line when m = 10.

[1 mark]

____________________________________________________________________ b Work out an expression for the length of the line. Simplify it as much as possible.

[1 mark]

____________________________________________________________________

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Y7: Algebra core

6

a Work out the perimeter of this triangle when d = 7.

[1 mark]

____________________________________________________________________ b Work out an expression for the perimeter of the triangle. Simplify it as much as possible.

[1 mark]

____________________________________________________________________ 7 Alice is Y years old.

Ben is 20 years older than Alice. a Write an expression for Ben’s age.

____________ years

[1 mark]

Carla is 3 times Alice’s age. b Write an expression for Carla’s age.

____________ years

[1 mark]

c Write an expression for the total age of all three. Simplify it as much as possible. ________________________________________________

[1 mark]

____________ years

d Work out the total age when Y is 9.

[1 mark]

________________________________________________

____________ years

8 Draw lines to match each expression on the left to one on the right.

One has been done for you.

[2 marks]

4x + 2

2(2x + 1)

2x + 4

2(x + 4)

4x + 8

4(x + 1)

4x + 4

2(2x + 4)

2x + 8

2(x + 2)

9 Expand the brackets. a 4(x – 5) = _______________________________________

[1 mark]

b 3(6 + y) = _______________________________________

[1 mark]

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Y7: Algebra core

10 Factorise as much as possible. a 6t + 18 = _______________________________________

[1 mark]

b 8k – 40 = _______________________________________

[1 mark]

11 Work out the next two numbers in each sequence. a 20, 24, 28, 32, ______, _______

[1 mark]

b 100, 97, 94, 91, ______, _______

[1 mark]

12 The term-to-term rule for a sequence is add 10. The first term is 5.

Work out the third term. _____________________________________

[1 mark]

13 The first term of a sequence is 32. The term-to-term rule is subtract 4. a Work out the second term. _____________________________________

[1 mark]

b Which term is 0?

[1 mark]

_____________________________________

14 The first term of a sequence is 2. The term-to-term rule is multiply by 2.

Work out the first term in the sequence that is larger than 50.

[1 mark]

____________________________________________________________________

Total marks ______ /30

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Y7: Algebra core

Year 7 Tests Based on a judgement of the level of demand of each test we would estimate that students who achieve 80% or more on Year 7 core tests would be on track to achieve a grade 5 at GCSE level and students who achieve 80% of more on Year 7 extended tests would be on track to achieve a grade 7 or above at GCSE level. Please bear in mind that progress is not always linear and that teachers remain the best judges of student performance. This is for your guidance only.

Year 7 Addition and subtraction (core) Q

Answer

AO

Marks

1

a 4005

AO1

1

b 2060

AO1

1

a 8 tens or 80

AO1

1

b 8 thousands

AO1

1

c 8 hundredths

AO1

1

3

622

AO1

1

4

346

AO1

1

5

3.56

AO1

1

6

6.6

AO1

1

7

a 565

AO2

1

b 581

AO2

1

£20 − £12.65

AO3

M1

2

8

£7.35 9

A1

a 800

AO1

1

b 17 300

AO1

1

a 78.3

AO1

1

b 48.2

AO1

1

11

26 cm

AO1

1

12

4.3 + 4.3 + 6.5 + 6.5

AO1

M1

10

21.6 cm 13

A1

12 − (4.7 + 3.6)

AO3

3.7 cm 14

M1 A1

It is 100 − 1 + 100 − 1 + 100 − 2 + 100 − 2

AO2

M1

or 400 − 1 − 1 − 2 − 2 or 400 − 6 15

= 394 a

A1 AO1

1 1

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Answers

8

9

10

1

a 45

1

b 16

2 3

AO1

1

a 21

1 4

AO2

1

b 35

AO2

1

1 3

AO1

1

AO2

1

AO3

M1

a 7

1

b 19 15 11

AO1

2 3 31 2 3 + or or 1 − − 5 8 40 5 8 9 40

12

6

13

A1

2 kg or 6.4 kg 5

AO3

1

a 95

AO1

1

4 5

AO1

1

AO1

1

AO1

M1

3

b 1 14

1 6

a

No mark for an equivalent fraction b An attempt at a valid method e.g.

3 15

3 4

A1

4 12 or 5 15

a

b 6 16

9 5 9 × or 3 seen 4 3 12

3 27 or 4 4

1

3

1 2 or 2

AO1

1

AO1

1

AO1

1

Total

30

Year 7 Algebra (core) Q

Answer

AO

Marks

1

a 17

AO1

1

b 19

AO1

1

c 18

AO1

1

a 12

AO1

1

b 20

AO1

1

c 4

AO1

1

d 20

AO1

1

3x – 1 = 15 – 1 = 14

AO3

2

2

3

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Answers

and 2(x + 2) = 2 × 7 = 14 or stating that both are 14 1 mark for attempting substitutions 4

1 + 2n circled

AO2

1

5

a 29

AO1

1

b 2m + 9

AO1

1

a 19

AO1

1

b 3d − 2

AO1

1

a Y + 20

AO1

1

b 3Y

AO1

1

c 5Y + 20 or 5(Y + 4)

AO1

1

d 65

AO1

1

AO2

2

a 4x – 20

AO1

1

b 18 + 3y

AO1

1

a 6(t + 3)

AO1

1

b 8(k – 5)

AO1

1

a 36, 40

AO1

1

b 88, 85

AO1

1

12

25

AO1

1

13

a 28

AO1

1

b 9th

AO3

1

64 or 6th term

AO3

1

6 7

8

2x + 4

2(x + 4)

4x + 8

4(x + 1)

4x + 4

2(2x + 4)

2x + 8

2(x + 2)

1 mark for two correct lines.

9 10 11

14

Total

30

Year 7 Algebra (extended) Q

Answer

AO

Marks

1

a 6

AO1

1

b 22

AO1

1

c 11

AO1

1

a 9

AO1

1

b 50

AO1

1

a 80

AO1

1

b 116

AO1

1

a Length is w + 4

AO2

2

2 3 4

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Answers