Indices II — Paper 2 · IGCSE Mathematics - International 0607

8 Simplify. (a) 8y 8 ' 2y 2 … [2] (b) 2w 2 5 ^ h … [2]

4 marks

Mark scheme: 8(a) 4y 6 2 B1 for ky 6 or 4 ky 8(b) 32w10 2 B1 for kw10 or 32 wk

This question in 0607/23 May/June 2017

11 Simplify. 12x 12 (a) 4 4x … [2] 1 4 (b) (16x 16 ) … [2]

4 marks

Mark scheme: 11(a) 3x 8 2 B1 for 3 kx or kx 8 , k ≠ 0 11(b) 2x 4 2 B1 for 2 kx or kx 4 , k ≠ 0

This question in 0607/22 Oct/Nov 2017

39 (a) Find the value of 27 2. … [1] (b) Simplify 18h 18 ' 3 h 3 . … [2]

3 marks

Mark scheme: 9(a) 9 1 9(b) 6h15 2 B1 for kh15 or 6h k

This question in 0607/21 May/June 2018

9 Simplify. (5x 4 y 3) 2 … [2]

2 marks

Mark scheme: 9 25x 8 y 6 2 M1 for ‘2 correct parts’

This question in 0607/21 Oct/Nov 2018

8 Simplify. (a) 12v 12 # 3v 3 … [2] 3 (b) 100x 100 2 ` j … [2]

4 marks

Mark scheme: 8(a) 36v15 2 B1 for 36 kv or k v15 8(b) 1000 x150 2 B1 for 1000 kx or k x150

This question in 0607/23 Oct/Nov 2018

15 Simplify (t27 ) 3. … [1] Questions 16 and 17 are printed on the next page.

1 marks

Mark scheme: 15 9t 1

This question in 0607/21 Oct/Nov 2019

7 Simplify. 15w 15 (a) 3 3w … [2] 2 (b) 125y 6 3 ` j … [2]

4 marks

Mark scheme: 7(a) 5w12 2 B1 for kw12 or 5 w k 7(b) 25y 4 2 B1 for ky 4 or 25 ky

This question in 0607/21 May/June 2020

211 Work out 4 - 3 . … [2]

2 marks

Mark scheme: 11 1 M1 for correct first step [ ± ] 2 − 1 8 1 3 e.g. 3 or 4 4 2 or B1 for 2 or 64 seen

This question in 0607/21 Oct/Nov 2020

3 .4 Work out 64 - … [2]

2 marks

Mark scheme: 4 1 2 B1 for 4 seen or reciprocal seen at any stage. 16

This question in 0607/22 Oct/Nov 2020

6 Find the value of p when 2 6 ' 4 p = 2 7 . p = … [3]

3 marks

Mark scheme: 6 1 3 B1 for 4 p = 2 2 p soi [p =] − 2 M1 for 6 − 2 p = 7 oe If 0 scored then SC1 for 2 6 ÷ 2 7 = 2 −1 or 2 7 ÷ 2 6 = 21 oe

This question in 0607/22 Feb/March 2021

17 3 x = 27 x + 2 Find the value of x. x = … [2]

2 marks

Mark scheme: 17 –3 2 M1 for 33( x + 2) oe or better

This question in 0607/22 Oct/Nov 2021

3 = 32x16 8 4 Find the value of x. x = … [2]

2 marks

Mark scheme: 16 4 2 M1 for 16 or 24 or 25x seen oe 5

This question in 0607/23 Oct/Nov 2022

11 Simplify `64x 18j 3 . … [2]

2 marks

Mark scheme: 11 16x12 final answer 2 B1 for kx12 or 16 kx

This question in 0607/22 Oct/Nov 2024

14 (a) Work out ( 0 .5 ) 2. … [1] (b) Work out 3 64 # 3 2 . … [2] (c) 16 n = 2 n – 1 Find the value of n. n = … [2]

5 marks

Mark scheme: 14(a) 0.25 oe 1 14(b) 36 2 M1 for  3 64 =  4   14(c) 1 2 M1 for 4n = n − 1 − n 4 n 3 or B1 for [16 = ] 2

This question in 0607/22 Feb/March 2025

15 y 2 k # y 3 = y Find the value of k. k = … [2]

2 marks

Mark scheme: 15 –2 2 M1 for 2k + 3 = –1 oe or better

This question in 0607/23 May/June 2025