Standard form — Paper 2 · IGCSE Mathematics - International 0607

6 Work out # . 8 # 1022 Give your answer in standard form. … [2]

2 marks

Mark scheme: 6 5 × 10−16 2 B1 for correct value, not in standard form, seen

This question in 0607/23 May/June 2017

7 Work out, giving your answer in standard form. (6. 3 # 10 4) + (5. 6 # 10 5 ) … [2]

2 marks

Mark scheme: 7 6.23 × 105 2 B1 for figs 623 or 0.63 × 105 soi or 56 × 104 soi

This question in 0607/21 Oct/Nov 2017

8 Work out (3. 2 # 10 20) + ( 2. 3 # 1021 ) , giving your answer in standard form. … [2]

2 marks

Mark scheme: 8 2.62 × 10 21 2 M1 for 0.32 × 10 21 or 23 × 10 20 or figs 262

This question in 0607/22 Oct/Nov 2017

6 Write each number in standard form. (a) 58 000 … [1] (b) 0.008 09 … [1]

2 marks

Mark scheme: 6(a) 5.8 × 10 4 1 6(b) 8.09 × 10−3 1

This question in 0607/23 Oct/Nov 2017

8 Work out (5.6 × 10–7) – (7.8 × 10–8). Give your answer in standard form. … [2]

2 marks

Mark scheme: 8 4.82 × 10–7 2 B1 for figs 482 or 56.7 × 10–8 or 0.78 × 10–7

This question in 0607/23 May/June 2018

1 (a) Write 49 059 300 correct to 3 significant figures. … [1] (b) Write your answer to part (a) in standard form. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 49 100 000 1 1(b) 4.91 1 FT their (a)

This question in 0607/22 Oct/Nov 2018

7 Work out (5.2 # 1018) - (2.4 # 1017). Give your answer in standard form. … [2]

2 marks

Mark scheme: 7 4.96 × 1018 2 B1 for 52 × 1017 or 0.24 × 1018 or figs 496

This question in 0607/21 May/June 2019

13 Work out 1.1 # 1030 + 1.1 # 1029 , giving your answer in standard form. … [2]

2 marks

Mark scheme: 13 1.21 × 10 30 2 B1 for figs 121 seen or for 0.11 × 1030 seen, or for 11 × 1029 seen

This question in 0607/22 May/June 2019

8 Work out the following. Give each answer in standard form. (a) (1 # 10 1) + (2 # 10 -2) … [2] (b) (1 # 10 1) ' (2 # 10 -2) … [2]

4 marks

Mark scheme: 8(a) 1.002 × 10[1] 2 B1 for 10.02 8(b) 5 × 10 2 2 M1 for correct answer not in standard form

This question in 0607/23 May/June 2019

3 Write each number in standard form. (a) 28 010 … [1] (b) 0.100 209 … [1]

2 marks

Mark scheme: 3(a) 2.801[0] × 10 4 1 3(b) 1.00209 × 10− 1 1

This question in 0607/22 Oct/Nov 2019

7 Work out the following, giving each answer in standard form. (a) ( 4. 3 # 10 4 ) # ( 3 # 10 -4 ) … [2] (b) ( 6 # 10 -2 ) + ( 3 # 10 -3 ) … [2]

4 marks

Mark scheme: 7(a) 1.29 × 10[1] 2 B1 for equivalent answer not in standard form or figs 129 7(b) 6.3 × 10− 2 2 B1 for equivalent answer not in standard form or figs 63

This question in 0607/22 May/June 2020

10 c = 4 # 107 d = 5.8 # 106 Work out, giving your answers in standard form, (a) c2 , … [2] (b) c - d . … [2]

4 marks

Mark scheme: 10(a) 1.6 × 1015 2 B1 for equivalent 10(b) 3.42 × 107 2 B1 for figs 342

This question in 0607/22 May/June 2021

6 (a) Write 0.000 058 6 in standard form. … [1] (b) ( 2 # 10 a ) ' ( 8 # 10 b ) = k # 10 n where 1 G k 1 10 . (i) Find the value of k. k = … [1] (ii) Write an expression for n in terms of a and b. n = . … [1]

3 marks

Mark scheme: 6(a) 5.86 × 10–5 cao 1 6(b)(i) 2.5 1 6(b)(ii) a – b – 1 1

This question in 0607/21 Oct/Nov 2021

5 (a) Write 7.297 84 correct to 3 significant figures. … [1] (b) Write 0.000 003 06 in standard form. … [1]

2 marks

Mark scheme: 5(a) 7.30 cao 1 5(b) 6 1 3.06× 10 final answer cao

This question in 0607/21 May/June 2022

6 (a) Work out ( 1.5 # 10 1 ) # (7 # 10 -3 ) . Give your answer in standard form. … [2] (b) Work out ( 6.5 # 10 -2 ) + ( 7.8 # 10 -3) . Give your answer in standard form. … [2]

4 marks

Mark scheme: 6(a) 1.05  10−1 cao 2 M1 for equivalent non-standard form answer e.g. 10.5  10−2 6(b) 7.28  10−2 cao 2 M1 for figs 728 seen

This question in 0607/21 Oct/Nov 2022

12 Simplify ( 3 # 10 85) # ( 7 # 10 15 ) . Give your answer in standard form. … [2]

2 marks

Mark scheme: 12 2.1  10101 cao 2 B1 for 21  10100

This question in 0607/23 Oct/Nov 2022

8 p = 2 # 103 q = 8 # 10 -5 Work out the following, giving each answer in standard form. (a) pq … [2] p (b) q … [2]

4 marks

Mark scheme: 8(a) 1.6  10−1 cao 2 B1 for correct answer not in standard form seen 8(b) 2.5  10 7 cao 2 B1 for correct answer not in standard form seen If 0 scored SC1 for figs 25 seen

This question in 0607/22 Feb/March 2023

7 (a) Write 0.003 08 in standard form. … [1] (b) Work out 7 # 10 6 # 3 # 10 -8 ` j ` j. Give your answer in standard form. … [2]

3 marks

Mark scheme: 7(a) 3.08  103 cao 1 7(b) 2.1  101 cao 2 M1 for correct answer not in standard form

This question in 0607/23 May/June 2023

7 p = 5 # 107 Work out p3. Give your answer in standard form. … [2]

2 marks

Mark scheme: 7 1.25 × 1023 2 B1 for correct answer not in standard form seen

This question in 0607/23 Oct/Nov 2023

8 Write in standard form. (a) 3 706 000 … [1] (b) 0.001 010 … [1]

2 marks

Mark scheme: 8(a) 3.706  10 6 final answer 1 8(b) 1.01[0]  103 1

This question in 0607/21 May/June 2024

6 p = 5 # 10 -8 q = 6.8 # 10 -7 Find, giving your answers in standard form, (a) pq … [2] (b) p + q . … [2]

4 marks

Mark scheme: 6(a) 3.4 × 10–14 cao 2 B1 for any equivalent seen 6(b) 7.3 × 10–7 cao 2 B1 for figs 73 or 0.5 × 10–7 or 68 × 10–8 seen

This question in 0607/23 May/June 2024

9 Write in standard form. (a) 760 900 … [1] (b) 0.080 07 … [1]

2 marks

Mark scheme: 9(a) 7.609[00]  10 5 1 9(b) 8.007  10−2 1

This question in 0607/21 Oct/Nov 2024

10 Work out 4 # 10 18 + 3 .2 # 10 17 . Give your answer in standard form. … [2]

2 marks

Mark scheme: 10 18 2 17 4.32  10 cao B1 for equivalent e.g. 43.2  10 seen or for 0.32  1018 or 40  1017 seen If 0 scored SC1 for 4.32  10 n n a positive integer

This question in 0607/21 May/June 2025

13 Work out. 4.9 # 10 199 + 4. 9 # 10 197 … [2]

2 marks

Mark scheme: 13 4.949 × 10199 2 B1 for answer figs 4949 or for 0.049 × 10199 or 490 × 10197 seen

This question in 0607/23 May/June 2025