1. Algebraic Manipulation – Foundation – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

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3. GCSE GCSE Edexcel Foundation: November 2017 Paper 2, Q14
g and h are odd numbers.
(a) Give an example to show that the value of 2(g + h) is a multiple of 4 1
g and h are odd numbers.
(a) Give an example to show that the value of 2(g + h) is a multiple of 4
(2)
(2)
(b) Show that, when g and b are both odd numbers, the value of 2(g + h)
will always be a multiple of 4
(b) Show that, when g and b are both odd numbers, the value of 2(g + h)
will always be a multiple of 4
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

5. GCSE GCSE GCSE GCSE Edexcel Foundation: May 2018 Paper 1, Q16
T = 3x + 4y
x = 5
y = − 3
(a) Work out the value of T. 1
T = 3x + 4y
x = 5
y = − 3
(a) Work out the value of T.
(2)
(2)
(b) Expand 3g(g + 3)
(b) Expand 3g(g + 3)
(2)
(2)
(c) Solve 4(b − 3) = 36
(c) Solve 4(b − 3) = 36
b =
b =
(2)
(2)
(Total for Question 1 is 6 marks)
(Total for Question 1 is 6 marks)
GCSE
GCSE
Edexcel Foundation: May 2018 Paper 1, Q16
Edexcel Foundation: May 2018 Paper 1, Q16 1
T = 3x + 4y
x = 5
y = − 3
(a) Work out the value of T. 1
T = 3x + 4y
x = 5
y = − 3
(a) Work out the value of T.
(2)
(2)
(b) Expand 3g(g + 3)
(b) Expand 3g(g + 3)
(2)
(2)
(c) Solve 4(b − 3) = 36
(c) Solve 4(b − 3) = 36
b =
b =
(2)
(2)
(Total for Question 1 is 6 marks)
(Total for Question 1 is 6 marks)

7. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q20
Expand and simplify 3(t + 4) – 2(1 – 4t) 1
Expand and simplify 3(t + 4) – 2(1 – 4t)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)
GCSE
GCSE
Edexcel Foundation: June 2018 Paper 3, Q20
Edexcel Foundation: June 2018 Paper 3, Q20 1
Expand and simplify 3(t + 4) – 2(1 – 4t) 1
Expand and simplify 3(t + 4) – 2(1 – 4t)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)

9. GCSE GCSE Edexcel Foundation: May 2017 Paper 1, Q24
4 cm
x cm D C 1
The area of square ABCD is 18cm2.
Show that x2 + 8x = 2
4 cm
x cm A B
(Total for Question 1 is 3 marks)
GCSE
Edexcel Foundation: May 2017 Paper 1, Q24
4 cm
x cm D C 1
The area of square ABCD is 18cm2.
Show that x2 + 8x = 2
4 cm
x cm A B
(Total for Question 1 is 3 marks)

11. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 2, Q24
(a) Solve 3x2 = 75 1
(a) Solve 3x2 = 75
(2)
(2)
(b) Expand and simplify (3x - 1)(2x + 3)
(b) Expand and simplify (3x - 1)(2x + 3)
(2)
(2)
(c) Factorise x2 + 8x + 16
(c) Factorise x2 + 8x + 16
(1)
(1)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 2, Q24
Edexcel Foundation: November 2017 Paper 2, Q24 1
(a) Solve 3x2 = 75 1
(a) Solve 3x2 = 75
(2)
(2)
(b) Expand and simplify (3x - 1)(2x + 3)
(b) Expand and simplify (3x - 1)(2x + 3)
(2)
(2)
(c) Factorise x2 + 8x + 16
(c) Factorise x2 + 8x + 16
(1)
(1)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

13. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 2, Q14
(a) Factorise 4 – 12n 1
(a) Factorise 4 – 12n
(1)
(1)
(a) Factorise fully 3g2h + 6gh2
(a) Factorise fully 3g2h + 6gh2
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
(a) Factorise 6 – 24b 2
(a) Factorise 6 – 24b
(1)
(1)
(a) Factorise fully 4km2 - 12k2m
(a) Factorise fully 4km2 - 12k2m
(2)
(2)
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 2, Q14
Edexcel Foundation: June 2017 Paper 2, Q14 1
(a) Factorise 4 – 12n 1
(a) Factorise 4 – 12n
(1)
(1)
(a) Factorise fully 3g2h + 6gh2
(a) Factorise fully 3g2h + 6gh2
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
(a) Factorise 6 – 24b 2
(a) Factorise 6 – 24b
(1)
(1)
(a) Factorise fully 4km2 - 12k2m
(a) Factorise fully 4km2 - 12k2m
(2)
(2)
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)

15. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q17
(a) Factorise 3n + 15 1
(a) Factorise 3n + 15
(1)
(1)
expression
equation
inequality
multiple
identity
factor
term
formula
expression
equation
inequality
multiple
identity
factor
term
formula
(b) Choose two words from the box above to make this statement correct.
(b) Choose two words from the box above to make this statement correct.
5x is a
in the
5m + 3x
5x is a
in the
5m + 3x
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 3, Q17
Edexcel Foundation: November 2017 Paper 3, Q17 1
(a) Factorise 3n + 15 1
(a) Factorise 3n + 15
(1)
(1)
expression
equation
inequality
multiple
identity
factor
term
formula
expression
equation
inequality
multiple
identity
factor
term
formula
(b) Choose two words from the box above to make this statement correct.
(b) Choose two words from the box above to make this statement correct.
5x is a
in the
5m + 3x
5x is a
in the
5m + 3x
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

17. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 3, Q2
Socks are sold in packs and boxes.
There are 14 socks in each pack.
There are 16 socks in each box.
Francis buys p packs and b boxes of socks.
Write down an expression, in terms of p and b, for the
total number of socks Francis buys. 1
Socks are sold in packs and boxes.
There are 14 socks in each pack.
There are 16 socks in each box.
Francis buys p packs and b boxes of socks.
Write down an expression, in terms of p and b, for the
total number of socks Francis buys.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 3, Q2
Edexcel Foundation: June 2017 Paper 3, Q2 1
Socks are sold in packs and boxes.
There are 14 socks in each pack.
There are 16 socks in each box.
Francis buys p packs and b boxes of socks.
Write down an expression, in terms of p and b, for the
total number of socks Francis buys. 1
Socks are sold in packs and boxes.
There are 14 socks in each pack.
There are 16 socks in each box.
Francis buys p packs and b boxes of socks.
Write down an expression, in terms of p and b, for the
total number of socks Francis buys.
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks)

19. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 2, Q1
(a) Simplify 6t – 4t + t 1
(a) Simplify 6t – 4t + t
(1)
(1)
(b) Simplify r3 + r3
(b) Simplify r3 + r3
(1)
(1)
(b) Simplify b + 3a – 6b + a
(b) Simplify b + 3a – 6b + a
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 2, Q1
Edexcel Foundation: June 2017 Paper 2, Q1 1
(a) Simplify 6t – 4t + t 1
(a) Simplify 6t – 4t + t
(1)
(1)
(b) Simplify r3 + r3
(b) Simplify r3 + r3
(1)
(1)
(b) Simplify b + 3a – 6b + a
(b) Simplify b + 3a – 6b + a
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

21. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q2
(a) Simplify x + 4x – 3x 1
(a) Simplify x + 4x – 3x
(Total for Question 1 is 1 mark)
(Total for Question 1 is 1 mark) 2
(a) Simplify t + 5t – 2t 2
(a) Simplify t + 5t – 2t
(Total for Question 2 is 1 mark)
(Total for Question 2 is 1 mark) 3
(a) Simplify y + 3y – 2y 3
(a) Simplify y + 3y – 2y
(Total for Question 3 is 1 mark)
(Total for Question 3 is 1 mark)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 3, Q2
Edexcel Foundation: November 2017 Paper 3, Q2 1
(a) Simplify x + 4x – 3x 1
(a) Simplify x + 4x – 3x
(Total for Question 1 is 1 mark)
(Total for Question 1 is 1 mark) 2
(a) Simplify t + 5t – 2t 2
(a) Simplify t + 5t – 2t
(Total for Question 2 is 1 mark)
(Total for Question 2 is 1 mark) 3
(a) Simplify y + 3y – 2y 3
(a) Simplify y + 3y – 2y
(Total for Question 3 is 1 mark)
(Total for Question 3 is 1 mark)

23. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 2, Q3
(a) Simplify 4f × 5g 1
(a) Simplify 4f × 5g
(1)
(1)
(b) Simplify h × h
(b) Simplify h × h
(1)
(1)
(c) Simplify 3𝑥 + 9𝑥 3
(c) Simplify 3𝑥 + 9𝑥 3
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
(a) Simplify 2y × 6b 2
(a) Simplify 2y × 6b
(1)
(1)
(b) Simplify f × f × f
(b) Simplify f × f × f
(1)
(1)
(c) Simplify 2𝑡 + 8𝑡 2
(c) Simplify 2𝑡 + 8𝑡 2
(1)
(1)
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 2, Q3
Edexcel Foundation: November 2017 Paper 2, Q3 1
(a) Simplify 4f × 5g 1
(a) Simplify 4f × 5g
(1)
(1)
(b) Simplify h × h
(b) Simplify h × h
(1)
(1)
(c) Simplify 3𝑥 + 9𝑥 3
(c) Simplify 3𝑥 + 9𝑥 3
(1)
(1)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks) 2
(a) Simplify 2y × 6b 2
(a) Simplify 2y × 6b
(1)
(1)
(b) Simplify f × f × f
(b) Simplify f × f × f
(1)
(1)
(c) Simplify 2𝑡 + 8𝑡 2
(c) Simplify 2𝑡 + 8𝑡 2
(1)
(1)
(Total for Question 2 is 3 marks)
(Total for Question 2 is 3 marks)

25. GCSE GCSE GCSE GCSE Edexcel Foundation: May 2017 Paper 1, Q3
(a) Simplify 6 × d × g × 5 1
(a) Simplify 6 × d × g × 5
(1)
(1)
(b) Solve 𝑥 3 =3 1 2
(b) Solve 𝑥 3 =3 1 2
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7 2
(a) Simplify 4 × z × y × 7
(1)
(1)
(b) Solve 𝑥 4 =2 3 4
(b) Solve 𝑥 4 =2 3 4
(1)
(1)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)
GCSE
Edexcel Foundation: May 2017 Paper 1, Q3
GCSE
Edexcel Foundation: May 2017 Paper 1, Q3 1
(a) Simplify 6 × d × g × 5 1
(a) Simplify 6 × d × g × 5
(1)
(1)
(b) Solve 𝑥 3 =3 1 2
(b) Solve 𝑥 3 =3 1 2
(1)
(1)
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7 2
(a) Simplify 4 × z × y × 7
(1)
(1)
(b) Solve 𝑥 4 =2 3 4
(b) Solve 𝑥 4 =2 3 4
(1)
(1)
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)

27. GCSE GCSE Edexcel Foundation: May 2018 Paper 1, Q6
(Total for Question 1 is 2 marks)
(1)
(a) Simplify 4 × 3g 1
(b) Simplify 6b – 4b + 2b
(Total for Question 2 is 2 marks)
(1)
(a) Simplify 5 × 2h 2
(b) Simplify 7c – 2c + 4c
GCSE
Edexcel Foundation: May 2018 Paper 1, Q6
(Total for Question 1 is 2 marks)
(1)
(a) Simplify 4 × 3g 1
(b) Simplify 6b – 4b + 2b
(Total for Question 2 is 2 marks)
(1)
(a) Simplify 5 × 2h 2
(b) Simplify 7c – 2c + 4c

29. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 2, Q20
(a) Simplify n4 × n5 1
(a) Simplify n4 × n5
(1)
(1)
(b) Simplify (6yx4)3
(b) Simplify (6yx4)3
(2)
(2)
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)
GCSE
GCSE
Edexcel Foundation: June 2018 Paper 2, Q20
Edexcel Foundation: June 2018 Paper 2, Q20 1
(a) Simplify n4 × n5 1
(a) Simplify n4 × n5
(1)
(1)
(b) Simplify (6yx4)3
(b) Simplify (6yx4)3
(2)
(2)
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
(2)
(2)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

31. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2017 Paper 3, Q11
P = 5g + 4
(a) Work out the value of P when g = 3 1
P = 5g + 4
(a) Work out the value of P when g = 3
(2)
(2)
(b) Make g the subject of the formula P = 5g + 4
(b) Make g the subject of the formula P = 5g + 4
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)
GCSE
GCSE
Edexcel Foundation: June 2017 Paper 3, Q11
Edexcel Foundation: June 2017 Paper 3, Q11 1
P = 5g + 4
(a) Work out the value of P when g = 3 1
P = 5g + 4
(a) Work out the value of P when g = 3
(2)
(2)
(b) Make g the subject of the formula P = 5g + 4
(b) Make g the subject of the formula P = 5g + 4
(2)
(2)
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

33. GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q28
Make t the subject of the formula F= 𝑡+5 3
Make t the subject of the formula F= 𝑡+5 3 1 1
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: June 2018 Paper 3, Q28
Edexcel Foundation: June 2018 Paper 3, Q28
Make t the subject of the formula F= 𝑡+5 3
Make t the subject of the formula F= 𝑡+5 3 1 1
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

35. GCSE Edexcel Foundation: November 2017 Paper 2, Q14 1
g and h are odd numbers.
(a) Give an example to show that the value of 2(g + h) is a multiple of 4
(2)
(b) Show that, when g and b are both odd numbers, the value of 2(g + h)
will always be a multiple of 4
(2)
(Total for Question 1 is 4 marks)

36. GCSE Edexcel Foundation: May 2018 Paper 1, Q16 1 T = 3x + 4y x = 5
(a) Work out the value of T.
(2)
(b) Expand 3g(g + 3)
(2)
(c) Solve 4(b − 3) = 36
b =
(2)
(Total for Question 1 is 6 marks)

37. GCSE Edexcel Foundation: June 2018 Paper 3, Q20 1
Expand and simplify 3(t + 4) – 2(1 – 4t)
(Total for Question 1 is 2 marks) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z)
(Total for Question 2 is 2 marks)

40. GCSE Edexcel Foundation: June 2017 Paper 2, Q14
(a) Factorise 4 – 12n
(1)
(a) Factorise fully 3g2h + 6gh2
(2)
(Total for Question 1 is 3 marks) 2
(a) Factorise 6 – 24b
(1)
(a) Factorise fully 4km2 - 12k2m
(2)
(Total for Question 2 is 3 marks)

47. GCSE Edexcel Foundation: May 2018 Paper 1, Q6
(Total for Question 1 is 2 marks)
(1)
(a) Simplify 4 × 3g 1
(b) Simplify 6b – 4b + 2b
(Total for Question 2 is 2 marks)
(1)
(a) Simplify 5 × 2h 2
(b) Simplify 7c – 2c + 4c

48. GCSE Edexcel Foundation: June 2018 Paper 2, Q20
(a) Simplify n4 × n5
(1)
(b) Simplify (6yx4)3
(2)
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
(2)
(Total for Question 1 is 5 marks)

50. GCSE Edexcel Foundation: June 2018 Paper 3, Q28
Make t the subject of the formula F= 𝑡+5 3 1
(Total for Question 1 is 3 marks)

51. GCSE
Edexcel Foundation: November 2017 Paper 2, Q14 1
g and h are odd numbers.
(a) Give an example to show that the value of 2(g + h) is a multiple of 4
g = 3, h = 5
2 ( ) = 2 x 8 = 16
16 ÷ 4 = 4
(2)
(b) Show that, when g and b are both odd numbers, the value of 2(g + h)
will always be a multiple of 4
odd number + odd number = even number
2 x ( an even number ) = a multiple of 4
(2)
(Total for Question 1 is 4 marks)

52. T = (3×5) + (4×-3) T = (15) + (-12) T = 3 3g2+9g 4b – 12 = 36 4b = 24
GCSE
Edexcel Foundation: May 2018 Paper 1, Q16 1
T = 3x + 4y
x = 5
y = − 3
(a) Work out the value of T.
T = (3×5) + (4×-3)
T = (15) + (-12)
T = 3
(2)
(b) Expand 3g(g + 3)
3g2+9g
4b – 12 = 36
(2)
(c) Solve 4(b − 3) = 36
4b = 24 6
b = 6
b =
(2)
(Total for Question 1 is 6 marks)

53. (3𝑡 +12) – (2 – 8𝑡) 3𝑡 +12 – 2+ 8𝑡 11𝑡+10 11𝑡+10 (6𝑧 +15) – (6 –12𝑧)
GCSE
Edexcel Foundation: June 2018 Paper 3, Q20 1
Expand and simplify 3(t + 4) – 2(1 – 4t)
(3𝑡 +12) – (2 – 8𝑡)
3𝑡 +12 – 2+ 8𝑡
11𝑡+10
11𝑡+10
(Total for Question 1 is 2 marks) 2
Expand and simplify 3(2z + 5) – 3(2 – 4z)
(6𝑧 +15) – (6 –12𝑧)
6𝑧 +15 –6+12𝑧
18𝑧+9
18𝑧+9
(Total for Question 2 is 2 marks)

54. GCSE (4 + x)(4 + x) or (x + 4)(x + 4) x2 + 4x + 4x + 16 = 18
Edexcel Foundation: May 2017 Paper 1, Q24
4 cm
x cm D C 1
The area of square ABCD is 18cm2.
Show that x2 + 8x = 2
4 cm
(4 + x)(4 + x) or
(x + 4)(x + 4)
x2 + 4x + 4x + 16 = 18
x2 + 8x + 16 = 18
x2 + 8x =
x2 + 8x = 2
x cm A B
(Total for Question 1 is 3 marks)

55. ÷ 3 x = 25 = 5 5 x2 = 25 6x2 + 9x – 2x – 3 6x2 + 7x – 3 (x + 4)(x + 4)
GCSE
Edexcel Foundation: November 2017 Paper 2, Q24 1
(a) Solve 3x2 = 75
÷ 3
x = = 5 5
x2 = 25
(2)
(b) Expand and simplify (3x - 1)(2x + 3)
6x2 + 9x – 2x – 3
6x2 + 7x – 3
(2)
(c) Factorise x2 + 8x + 16
+1, +16
+2, +8
+4, +4
Not negative
(x + 4)(x + 4)
(1)
(Total for Question 1 is 5 marks)

56. ÷ 4 4(1 - 3n) 3gh(g + 2h) ÷ 3, ÷ g, ÷ h ÷ 6 6(1 – 4b) 4km(m + 3k)
GCSE
Edexcel Foundation: June 2017 Paper 2, Q14 1
(a) Factorise 4 – 12n
÷ 4
4(1 - 3n)
(1)
(a) Factorise fully 3g2h + 6gh2
3gh(g + 2h)
÷ 3, ÷ g, ÷ h
(2)
(Total for Question 1 is 3 marks) 2
(a) Factorise 6 – 24b
÷ 6
6(1 – 4b)
(1)
(a) Factorise fully 4km2 - 12k2m
4km(m + 3k)
÷ 4, ÷ k, ÷ m
(2)
(Total for Question 2 is 3 marks)

57. GCSE 3 (𝑛+5) term expression
Edexcel Foundation: November 2017 Paper 3, Q17 1
(a) Factorise 3n + 15
3 (𝑛+5)
(1)
expression
equation
inequality
multiple
identity
factor
term
formula
(b) Choose two words from the box above to make this statement correct.
term
expression
5x is a
in the
5m + 3x
(2)
(Total for Question 1 is 3 marks)

58. Socks = 14 x p + 16 x b Socks = 14p + 16b 14p + 16b GCSE
Edexcel Foundation: June 2017 Paper 3, Q2 1
Socks are sold in packs and boxes.
There are 14 socks in each pack.
There are 16 socks in each box.
Francis buys p packs and b boxes of socks.
Write down an expression, in terms of p and b, for the
total number of socks Francis buys.
Socks = 14 x p + 16 x b
Socks = 14p + 16b
14p + 16b
(Total for Question 1 is 2 marks)

59. 3t 2r3 12 - 2b + 4a GCSE Edexcel Foundation: June 2017 Paper 2, Q1
(a) Simplify 6t – 4t + t 3t
(1)
(b) Simplify r3 + r3
2r3
(1)
(b) Simplify b + 3a – 6b + a
12 - 2b + 4a
(2)
(Total for Question 1 is 4 marks)

60. 2x 4t 2y GCSE Edexcel Foundation: November 2017 Paper 3, Q2
(a) Simplify x + 4x – 3x
(Total for Question 1 is 1 mark) 4t 2
(a) Simplify t + 5t – 2t
(Total for Question 2 is 1 mark) 2y 3
(a) Simplify y + 3y – 2y
(Total for Question 3 is 1 mark)

61. 4 x 5 x f x g 20fg h2 4x 1x +3x 2 x 6 x y x b 12by f3 5t 1t +4t GCSE
Edexcel Foundation: November 2017 Paper 2, Q3 1
(a) Simplify 4f × 5g
4 x 5 x f x g
20fg
(1)
(b) Simplify h × h h2
(1)
(c) Simplify 3𝑥 + 9𝑥 3
1x +3x 4x
(1)
(Total for Question 1 is 3 marks) 2
(a) Simplify 2y × 6b
2 x 6 x y x b
12by
(1)
(b) Simplify f × f × f f3 5t
(1)
(c) Simplify 2𝑡 + 8𝑡 2
1t +4t
(1)
(Total for Question 2 is 3 marks)

62. 30dg 6 x 5 x d x g 10.5 28yz 4 x 7 x y x z 11 GCSE x = 3.5 x 3 = 10.5
Edexcel Foundation: May 2017 Paper 1, Q3 1
(a) Simplify 6 × d × g × 5
30dg
6 x 5 x d x g
(1)
(b) Solve 𝑥 3 =3 1 2
10.5
x = 3.5 x 3 = 10.5 x3 x3
(1)
(Total for Question 1 is 2 marks) 2
(a) Simplify 4 × z × y × 7
28yz
4 x 7 x y x z
(1)
(b) Solve 𝑥 4 =2 3 4
x = 8 + (4 x 3 4 ) = 11 11 x4 x4
(1)
(Total for Question 2 is 2 marks)

63. 12𝑔 4𝑏 10ℎ 9𝑐 GCSE Edexcel Foundation: May 2018 Paper 1, Q6
(Total for Question 1 is 2 marks)
(1)
(a) Simplify 4 × 3g 1
(b) Simplify 6b – 4b + 2b
12𝑔 4𝑏
(Total for Question 2 is 2 marks)
(1)
(a) Simplify 5 × 2h 2
(b) Simplify 7c – 2c + 4c
10ℎ 9𝑐

64. GCSE
Edexcel Foundation: June 2018 Paper 2, Q20 1
(a) Simplify n4 × n5 𝑛9
(1)
(b) Simplify (6yx4)3
63𝑥3(𝑦4)3
216𝑥3𝑦12
(2)
(c) Simplify 24𝑠7𝑡5 6𝑠3𝑡
24 6 × 𝑠7 𝑠3 × 𝑡5 𝑡
4𝑠4𝑡4
(2)
(Total for Question 1 is 5 marks)

65. 𝑃−4 5 = g GCSE P = (5x3) + 4 = 15 + 4 19 = 19 𝑃−4 = 5g 𝑔= 𝑃−4 5
Edexcel Foundation: June 2017 Paper 3, Q11 1
P = 5g + 4
(a) Work out the value of P when g = 3
P = (5x3) + 4 =
= 19 19
(2)
(b) Make g the subject of the formula P = 5g + 4
𝑃−4 = 5g
𝑃−4 5 = g
𝑔= 𝑃−4 5
(2)
(Total for Question 1 is 4 marks)

66. square × 3 − 5 GCSE F2= 𝑡+5 3 3F2=𝑡+5 3F2−5=𝑡 t= 3F2−5
Edexcel Foundation: June 2018 Paper 3, Q28
Make t the subject of the formula F= 𝑡+5 3 1
square
F2= 𝑡+5 3
× 3
3F2=𝑡+5
− 5
3F2−5=𝑡
t= 3F2−5
(Total for Question 1 is 3 marks)

67. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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