Algebraic manipulation — Paper 2 · IGCSE Mathematics - International 0607

5 Simplify 4 (2x - 1) - 3 (x - 2) . … [2]

2 marks

Mark scheme: 5 5x + 2 final answer 2 B1 for ax + 2 or 5x + b

This question in 0607/22 May/June 2017

7 v = u + at Rearrange the formula to write t in terms of a, u and v. t = … [2]

2 marks

Mark scheme: 7 v − u 2 M1 for correct rearrangement for at or t oe final answer M1 for correct division by a a

This question in 0607/23 May/June 2017

1 y = mx + c 1 (a) Find y when m = , x = -2 and c = 4. 2 y = … [2] (b) Rearrange the formula to write m in terms of x, y and c. m = … [2]

4 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 3 2 1 M1 for × ( −2 ) + 4 2 1(b) y − c 2 M1 for correct rearrangement to oe final answer isolate the m term x M1 for correct division by x

This question in 0607/23 Oct/Nov 2018

4 t = 3p2 (a) Find the value of t when p = 4. t = … [1] (b) Re-arrange the formula to write p in terms of t. p = … [2]

3 marks

Mark scheme: 4(a) 48 1 4(b) t 2 M1 for correct division M1 for correct square root, involving t 3

This question in 0607/22 May/June 2019

14 Find the highest common factor (HCF) of 8p4q8 and 4p3q10. … [2]

2 marks

Mark scheme: 14 4p 3 q 8 2 B1 for kp 3 q 8 or 4 p k q 8 or 4 p 3 q k

This question in 0607/22 May/June 2019

10 Factorise. (a) 8x + 14 … [1] (b) 8ax 2 - 6bx 3 … [2] (c) 6ax + 9 ay - 8bx - 12by … [2]

5 marks

Mark scheme: 10(a) 2(4 x + 7) 1 10(b) 2 x 2 (4a − 3bx ) 2 M1 for a correct partial factorisation e.g. 2(4ax 2 − 3bx3 ) or x(8ax − 6bx 2 ) or x 2(8a − 6bx) or 2 x(4ax − 3bx 2 ) 10(c) (2 x + 3 y )(3a − 4b) 2 M1 for 3a (2 x + 3 y ) − 4b(3 y + 2 x ) or 2 x(3a − 4b) + 3 y (3a − 4b)

This question in 0607/21 Oct/Nov 2020

11 y = 2 Rearrange the formula to make w the subject. w = … [1]

1 marks

Mark scheme: 11 2y final answer 1

This question in 0607/22 Oct/Nov 2021

9 Expand the brackets and simplify. 5x (2 - 3 x) - 3x (3x - 2 ) … [2]

2 marks

Mark scheme: 9 −24 x 2 + 16 x final answer 2 B1 for −24 x 2 + kx or kx 2 + 16 x as answer or M1 for 10 x − 15 x 2 or −9 x 2 + 6 x

This question in 0607/23 Oct/Nov 2021

5 Expand. 3 ( 2x - 1) … [1]

1 marks

Mark scheme: 5 6x – 3 final answer 1

This question in 0607/23 May/June 2022

3 Expand. 3 ( x - 2y) … [1]

1 marks

Mark scheme: 3 3 x − 6 y final answer 1

This question in 0607/21 Oct/Nov 2022

4 Simplify # . a4 … [1]

1 marks

Mark scheme: 4 a6 1

This question in 0607/22 Feb/March 2024

3 Simplify. 3x - 2y + x + y … [2]

2 marks

Mark scheme: 3 4x  y final answer 2 B1 for each term

This question in 0607/21 May/June 2024

4 Simplify fully. (a) 3a - 6b - 2a + b … [2] (b) 7 ( x - 3) - 2 ( 2x - 1) … [2]

4 marks

Mark scheme: 4(a) a – 5b Final answer 2 B1 for a – kb or ka – 5b 4(b) 3x – 19 Final answer 2 B1 for 3x + k or kx – 19 or M1 for 7x – 21 – 4x + 2

This question in 0607/23 May/June 2024

3 Simplify. 2x - 3y - x - 2y … [2]

2 marks

Mark scheme: 3 x − 5 y 2 B1 for x + ky or kx − 5 y , k not zero

This question in 0607/23 May/June 2025