E1.8· 44 questions · 93 marks · 112 min · 2009–2025· Structured questions
Every Cambridge IGCSE Mathematics Paper 2 question on standard form, laid out as 12 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.

![Question 2: Calculate the value of 5(6 × 103 + 400), giving your answer in standard form. Examiner's Use Answer [2]](https://img.pastlit.com/crops/6c82d7aa-8633-4680-8ed9-a47844a539dd/q5.webp)
![Question 3: Change 64 square metres into square millimetres. Give your answer in standard form. Answer mm2 [2]](https://img.pastlit.com/crops/be3f0e13-6a2d-4b71-92e4-029341cf0e85/q6.webp)
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![Question 6: (a) Write 16 460 000 in standard form. Answer(a) [1] (b) Calculate 7.85 ÷ (2.366 × 102), giving your answer in standard form. Answer(b) [2]](https://img.pastlit.com/crops/b909e893-f15c-45df-9f20-b8205da84d95/q6.webp)
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3 / 12![Question 11: (a) Write 2.8 × 102 as an ordinary number. Answer(a) ................................................ [1] (b) Work out 2.5 × 108 × 2 × 10–2…](https://img.pastlit.com/crops/a724e0db-d396-4e7c-8e05-d846dab51964/q9.webp)
![Question 12: Work out 4 × 10–5 × 6 × 1012. Give your answer in standard form. Answer ................................................ [2] ______________…](https://img.pastlit.com/crops/2ccc6e7f-bbe3-4a9d-a6b3-e26ea3381111/q3.webp)
4 / 12![Question 14: (a) Write 2016 as the product of prime factors. ................................................... [3] (b) Write 2016 in standard form. ..…](https://img.pastlit.com/crops/be9d8247-46dc-4310-9967-768d83c58d98/q13.webp)
![Question 15: Write 1.27 × 10–3 as an ordinary number. ....................................................[1]](https://img.pastlit.com/crops/8d4c0e0a-fb51-4215-96bb-a7eff9382b2e/q3.webp)
5 / 12![Question 17: (a) Write 14 835 correct to the nearest thousand. ................................................. [1] (b) Write your answer to part (a) i…](https://img.pastlit.com/crops/e18cd8ca-3982-4ed1-875e-59ee460b0e12/q1.webp)
![Question 18: Write in standard form. (a) 2 470 000 ................................................. [1] (b) 0.0079 ....................................…](https://img.pastlit.com/crops/c5831d50-0b22-426b-b25c-e55fa5a0d567/q4.webp)
![Question 19: (a) Write 0.0605 in standard form. ................................................. [1] (b) Calculate 0.1 # 5.1 # 104 , giving your answer…](https://img.pastlit.com/crops/cae494a3-a333-4a4a-8193-3f050cf63cf3/q11.webp)
6 / 12![Question 21: Work out, giving your answer in standard form. 1.2 # 10 40 + 1. 2 # 10 41 .............................................. [2]](https://img.pastlit.com/crops/f58fe106-fb06-4f53-b748-06e94598dfe7/q9.webp)
![Question 22: Write 0.000 038 7 in standard form. .............................................. [1]](https://img.pastlit.com/crops/8d976e5a-5038-41a1-a843-b62c57272b14/q2.webp)

![Question 24: (a) Write .482 # 10 -3 as an ordinary number. ................................................. [1] (b) Write 52 million in standard form. …](https://img.pastlit.com/crops/6e0dc1f2-2cde-44da-a2ab-92b6d0285837/q8.webp)
7 / 12![Question 26: Write 23 000 in standard form. ................................................ [1]](https://img.pastlit.com/crops/89eda026-7406-41bc-bd06-ed159e01f609/q1.webp)
![Question 27: (a) Write the number five million, two hundred and seven in figures. .................................................[1] (b) Write 0.008 1…](https://img.pastlit.com/crops/ac2305d0-804d-4de0-86f1-31373ef0e978/q6.webp)
![Question 28: (a) Write 0.046 875 correct to 2 significant figures. .................................................... [1] (b) Write 2 760 000 in stand…](https://img.pastlit.com/crops/50a671f6-75fb-475e-84dc-fd079da353e9/q4.webp)
![Question 29: (a) Write 0.047 883 correct to 2 significant figures. ............................................... [1] (b) Write 0.005 27 in standard fo…](https://img.pastlit.com/crops/169f6d9a-55a3-45a2-b506-889e63a25377/q8.webp)
8 / 12![Question 31: Write in standard form. (a) 72 000 .................................................... [1] (b) 0.0018 ....................................…](https://img.pastlit.com/crops/1c6ecf99-2ede-42f2-a23a-702f08671501/q5.webp)

![Question 33: Calculate ( 3 # 10 - 3 ) 3 . Give your answer in standard form. ................................................. [1]](https://img.pastlit.com/crops/18c5a2ed-8336-40c6-aadd-0949ffec9f43/q16.webp)
![Question 34: Work out ( 3 # 10 199 ) + ( 2 # 10 201 ) . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/47cae80b-ab3a-46b3-9f0e-bdb8f50f5f73/q14.webp)
9 / 12![Question 36: (a) Write 0.006 54 in standard form. ................................................. [1] (b) The number .1467 # 10102 is written as an or…](https://img.pastlit.com/crops/ca7734d9-f387-4aea-a042-8235723053d8/q10.webp)
![Question 37: Simplify 2.1 # 10 p + 2.1 # 10 p - 1 . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/59a0e84e-5912-42d3-9c25-f37720e3175d/q20.webp)
![Question 38: Calculate 0.04 2 + 0.03 # 0.28 . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/577d5a03-d9fe-40c0-b51e-54dd76d5701a/q13.webp)
10 / 12![Question 40: Calculate .032 . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/f751e8e7-c910-4f37-b0cd-fb04d456ce9a/q8.webp)
![Question 41: Write 174 000 in standard form. ................................................. [1]](https://img.pastlit.com/crops/f6a2fde0-7ed7-4692-a6cd-1babc16daee2/q10.webp)
11 / 12![Question 43: (a) Write 0.007 08 in standard form. ................................................. [1] (b) Work out ( 3. 8 # 10 22 ) + ( 3. 8 # 10 23 )…](https://img.pastlit.com/crops/3be19518-e2a4-44ca-94a1-2292db96c948/q11.webp)
12 / 12Answers below. Sit the paper first if you are practising.
Pastlit
Mathematics 0580 · Standard form — Paper 2
IGCSE · topical answer key — answer key (teacher use)
Question
Answer
Marks
4
2
2
2
2
3
2
2
4
4
3
2
1
4
1
2
2
2
2
1
2
1
2
2
2
1
2
2
2
2
2
1
1
2
1
2
2
2
2
2
1
4
3
3| Question | Answer | Marks | From |
|---|---|---|---|
| 1 | see sheet | 4 | 0580/21 May/June 2009 |
| 2 | see sheet | 2 | 0580/21 May/June 2010 |
| 3 | see sheet | 2 | 0580/22 May/June 2010 |
| 4 | see sheet | 2 | 0580/22 Oct/Nov 2010 |
| 5 | see sheet | 2 | 0580/21 May/June 2011 |
| 6 | see sheet | 3 | 0580/23 May/June 2011 |
| 7 | see sheet | 2 | 0580/23 Oct/Nov 2011 |
| 8 | see sheet | 2 | 0580/21 May/June 2012 |
| 9 | see sheet | 4 | 0580/23 May/June 2013 |
| 10 | see sheet | 4 | 0580/21 May/June 2014 |
| 11 | see sheet | 3 | 0580/21 Oct/Nov 2014 |
| 12 | see sheet | 2 | 0580/23 Oct/Nov 2014 |
| 13 | see sheet | 1 | 0580/23 Oct/Nov 2015 |
| 14 | see sheet | 4 | 0580/22 Feb/March 2016 |
| 15 | see sheet | 1 | 0580/21 May/June 2016 |
| 16 | see sheet | 2 | 0580/21 Oct/Nov 2016 |
| 17 | see sheet | 2 | 0580/22 Oct/Nov 2016 |
| 18 | see sheet | 2 | 0580/23 Oct/Nov 2016 |
| 19 | see sheet | 2 | 0580/22 May/June 2017 |
| 20 | see sheet | 1 | 0580/22 Oct/Nov 2017 |
| 21 | see sheet | 2 | 0580/22 Oct/Nov 2017 |
| 22 | see sheet | 1 | 0580/21 May/June 2018 |
| 23 | see sheet | 2 | 0580/22 May/June 2018 |
| 24 | see sheet | 2 | 0580/23 May/June 2018 |
| 25 | see sheet | 2 | 0580/21 Oct/Nov 2018 |
| 26 | see sheet | 1 | 0580/22 Oct/Nov 2018 |
| 27 | see sheet | 2 | 0580/23 Oct/Nov 2018 |
| 28 | see sheet | 2 | 0580/22 Feb/March 2019 |
| 29 | see sheet | 2 | 0580/22 May/June 2019 |
| 30 | see sheet | 2 | 0580/21 Oct/Nov 2019 |
| 31 | see sheet | 2 | 0580/23 Oct/Nov 2019 |
| 32 | see sheet | 1 | 0580/22 Feb/March 2020 |
| 33 | see sheet | 1 | 0580/22 May/June 2020 |
| 34 | see sheet | 2 | 0580/22 Oct/Nov 2020 |
| 35 | see sheet | 1 | 0580/22 Feb/March 2021 |
| 36 | see sheet | 2 | 0580/22 May/June 2021 |
| 37 | see sheet | 2 | 0580/23 May/June 2021 |
| 38 | see sheet | 2 | 0580/23 Oct/Nov 2021 |
| 39 | see sheet | 2 | 0580/21 May/June 2022 |
| 40 | see sheet | 2 | 0580/22 Feb/March 2023 |
| 41 | see sheet | 1 | 0580/22 May/June 2024 |
| 42 | see sheet | 4 | 0580/23 May/June 2024 |
| 43 | see sheet | 3 | 0580/22 May/June 2025 |
| 44 | see sheet | 3 | 0580/21 Oct/Nov 2025 |
14 (a) There are 109 nanoseconds in 1 second. For Find the number of nanoseconds in 5 minutes, giving your answer in standard form. Examiner's Use Answer(a) [2] (b) Solve the equation 5 ( x + 3 × 106 ) = 4 × 107. Answer(b) x = [2]
4 marks
Mark scheme: 14 (a) 3 × 1011 2 M1 60 × 5 × 109 or better (b) 5 000 000 or 5 × 106 or 5 million 2 M1 0.8 × 107 – 3 × 106 oe or M1 5x = 4 × 107 – 15 × 106 oe If m is used for a million it must be used consistently
5 Calculate the value of 5(6 × 103 + 400), giving your answer in standard form. Examiner's Use Answer [2]
2 marks
Mark scheme: 5 3.2(0) × 104 2 B1 32000 or 32 × 103 etc
6 Change 64 square metres into square millimetres. Give your answer in standard form. Answer mm2 [2]
2 marks
Mark scheme: 6 6.4 × 107 2 M1 64 × 1002 × 102 or 64 000 000 oe
6 Write 0.00658 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures. Answer(b) [1]
2 marks
Mark scheme: 6 (a) 6.58 × 10–3 1 × and 10 essential (b) 0.0066 cao 1 Allow 6.6 × 10–3 1
5 A hummingbird beats its wings 24 times per second. ForFor Examiner'sExaminer's (a) Calculate the number of times the hummingbird beats its wings in one hour. UseUse Answer(a) [1] (b) Write your answer to part (a) in standard form. Answer(b) [1]
2 marks
Mark scheme: ( ) 5 (a) 86400 1 (b) 8.64 × 104 1ft 3
6 (a) Write 16 460 000 in standard form. Answer(a) [1] (b) Calculate 7.85 ÷ (2.366 × 102), giving your answer in standard form. Answer(b) [2]
3 marks
Mark scheme: 6 (a) 1.646 × 107 1 (b) 3.32 × 10–2 2 B1 for 0.0332 seen or 3.3 × 10–2 as answer or B1 for 3.32 × 10k
5 The population of a city is 128 000, correct to the nearest thousand. (a) Write 128 000 in standard form. Answer(a) [1] (b) Write down the upper bound of the population. Answer(b) [1]
2 marks
Mark scheme: 5 (a) 1.28 × 105 1 (b) 128 500 1
1 The price of a ticket for a football match is $124 . For Examiner's (a) Calculate the amount received when 76 500 tickets are sold. Use Answer(a) $ [1] (b) Write your answer to part (a) in standard form. Answer(b) $ [1]
2 marks
Mark scheme: Qu Answers Mark Part marks 1 (a) 9486000 1 (b) 9.486 × 106 1ft
9 Calculate, giving your answers in standard form, For Examiner′s Use (a) 2 × (5.5 × 104) , Answer(a) … [2] (b) (5.5 × 104) – (5 × 104) . Answer(b) … [2] _____________________________________________________________________________________
4 marks
Mark scheme: 9 (a) 1.1 × 105 2 B1 for 110 000 oe e.g.11 × 104 (b) 5 × 103 2 B1 for 5000 oe e.g. 0.5 × 104 IGCSE – May/June 2013 0580 23
12 p = 4 × 105 q = 5 × 104 Find, giving your answer in standard form, (a) pq, Answer(a) … [2] q (b) . p Answer(b) … [2] __________________________________________________________________________________________
4 marks
Mark scheme: 12 (a) 2 × 1010 2 B1 for 20 × 109 or 20 000 000 000 (b) 1.25 × 10−1 2 B1 for 0.125 oe
9 (a) Write 2.8 × 102 as an ordinary number. Answer(a) … [1] (b) Work out 2.5 × 108 × 2 × 10–2. Give your answer in standard form. Answer(b) … [2] __________________________________________________________________________________________
3 marks
Mark scheme: 9 (a) 280 1 (b) 5 × 106 2 B1 for 5 000 000 oe or B1 for answer k × 10 6 or 5× 10 k
3 Work out 4 × 10–5 × 6 × 1012. Give your answer in standard form. Answer … [2] __________________________________________________________________________________________
2 marks
Mark scheme: 3 4.2 × 10 8 2 B1 for 240 000 000 oe or B1 for k × 10 8 or 4.2 × 10 k
3 Write 1.7 × 10–4 as an ordinary number. Answer … [1] __________________________________________________________________________________________
1 marks
Mark scheme: 3 [0].00017 1
13 (a) Write 2016 as the product of prime factors. … [3] (b) Write 2016 in standard form. … [1]
4 marks
Mark scheme: 13 (a) 2 5 × 32 × 7 oe final answer 3 B2 for product of two of 2 5 , 3 2 , 7 or B1 for 2, 3 and 7 seen or M1 for 2 × 1008 or 3 × 672 or 7 × 288 soi (b) 2.016 × 10 3 1 8 7 8 k k 7
3 Write 1.27 × 10–3 as an ordinary number. … [1]
1 marks
Mark scheme: 3 [0].00127 1
5 (a) Write 5 -3 as a fraction. … [1] (b) Write 0.004 56 in standard form. … [1]
2 marks
Mark scheme: 5 (a) 1 125 (b) 1 4.56 × 10–3
1 (a) Write 14 835 correct to the nearest thousand. … [1] (b) Write your answer to part (a) in standard form. … [1]
2 marks
Mark scheme: Question Answer Mark Part marks 1 (a) 15000 cao 1 (b) 1.5 × 10 4 1FT FT their (a)
4 Write in standard form. (a) 2 470 000 … [1] (b) 0.0079 … [1]
2 marks
Mark scheme: 4 (a) 2.47 × 106 1 (b) 7.9 × 10–3 1 18 5 18 k 5 k
11 (a) Write 0.0605 in standard form. … [1] (b) Calculate 0.1 # 5.1 # 104 , giving your answer in standard form. … [1]
2 marks
Mark scheme: 11(a) 6.05 × 10–2 1 11(b) 5.1 × 103 1
2 Write .517 # 10 -3 as an ordinary number. … [1]
1 marks
Mark scheme: 2 [0].00517 1
9 Work out, giving your answer in standard form. 1.2 # 10 40 + 1. 2 # 10 41 … [2]
2 marks
Mark scheme: 9 1.32 × 1041 2 M1 for 0.12 × 1041 or 12 × 1040 or SC1 for figs 132
2 Write 0.000 038 7 in standard form. … [1]
1 marks
Mark scheme: 2 3.87 × 10−5 1
8 Here are some numbers written in standard form. .34 # 10 -1 .136 # 106 .79 # 100 .24 # 105 .521 # 10 -3 .43 # 10 -2 From these numbers, write down (a) the largest number, … [1] (b) the smallest number. … [1]
2 marks
Mark scheme: 8(a) 1.36 × 106 oe 1 8(b) 5.21 × 10–3 oe 1
8 (a) Write .482 # 10 -3 as an ordinary number. … [1] (b) Write 52 million in standard form. … [1]
2 marks
Mark scheme: 8(a) [0].004 82 cao 1 8(b) 5.2 × 107 1
4 Work out 6 .4 # 10 7 + 9. 6 # 10 6 ^ h ^ h. Give your answer in standard form. … [2]
2 marks
Mark scheme: 4 7.36 × 107 2 B1 for figs 736
1 Write 23 000 in standard form. … [1]
1 marks
Mark scheme: Question Answer Marks Partial Marks 1 2.3 × 104 1
6 (a) Write the number five million, two hundred and seven in figures. … [1] (b) Write 0.008 13 in standard form. … [1]
2 marks
Mark scheme: 6(a) 5 000 207 1 6(b) 8.13 × 10−3 1
4 (a) Write 0.046 875 correct to 2 significant figures. … [1] (b) Write 2 760 000 in standard form. … [1]
2 marks
Mark scheme: 4(a) 0.047 1 4(b) 2.76 × 10 6 1
8 (a) Write 0.047 883 correct to 2 significant figures. … [1] (b) Write 0.005 27 in standard form. … [1]
2 marks
Mark scheme: 8(a) 0.048 cao 1 8(b) 5.27 × 10−3 1
4 Write 15 060 (a) in words, … [1] (b) in standard form. … [1]
2 marks
Mark scheme: 4(a) Fifteen thousand [and] sixty 1 4(b) 1.506[0] × 104 1
5 Write in standard form. (a) 72 000 … [1] (b) 0.0018 … [1]
2 marks
Mark scheme: 5(a) 7.2 × 104 1 5(b) 1.8 × 10–3 1
8 Calculate the value of ( 2.3 # 10 -3 ) + ( 6. 8 # 10 -4 ) . Give your answer in standard form. … [1]
1 marks
Mark scheme: 8 2.98 × 10−3 1
16 Calculate ( 3 # 10 - 3 ) 3 . Give your answer in standard form. … [1]
1 marks
Mark scheme: 16 2.7 × 10–8 1
14 Work out ( 3 # 10 199 ) + ( 2 # 10 201 ) . Give your answer in standard form. … [2]
2 marks
Mark scheme: 14 2.03 × 10201 2 B1 for figs 203 or [0].03 × 10201 or 200 × 10199
9 Calculate 4.8 # 10 6 + 3.7 # 10 7 . Give your answer in standard form. … [1]
1 marks
Mark scheme: 9 4.18 × 107 cao 1
10 (a) Write 0.006 54 in standard form. … [1] (b) The number .1467 # 10102 is written as an ordinary number. Write down the number of zeros that follow the digit 7. … [1]
2 marks
Mark scheme: 10(a) 6.54 × 10 –3 1 10(b) 99 1
20 Simplify 2.1 # 10 p + 2.1 # 10 p - 1 . Give your answer in standard form. … [2]
2 marks
Mark scheme: 20 2.31 × 10 p 2 B1 for 21 × 10 p −1 or 0.21 × 10 p or answer with figs 231
13 Calculate 0.04 2 + 0.03 # 0.28 . Give your answer in standard form. … [2]
2 marks
Mark scheme: 13 1[.0] × 10–2 cao 2 B1 for 0.01 oe
13 Work out 2 # 10 100 - 2 # 10 98 , giving your answer in standard form. … [2]
2 marks
Mark scheme: 13 1.98 × 10100 2 B1 for 200 10 98 or 0.02 10100 or answer with figs 198
8 Calculate .032 . Give your answer in standard form. … [2]
2 marks
Mark scheme: 8 9 10−2 2 B1 for 0.09 oe or M1 for their decimal correctly converted to standard form if negative power
10 Write 174 000 in standard form. … [1]
1 marks
Mark scheme: 10 1.74 ×105 1
17 Work out, giving each answer in standard form. (a) `.21 # 10 101j # `8 # 10 101j … [2] (b) `2.1 # 10 101j + `2.1 # 10 100j … [2]
4 marks
Mark scheme: 17(a) 1.68 10 203 2 B1 for 16.8 10 202 17(b) 2.31 10101 2 B1 for figs 231
11 (a) Write 0.007 08 in standard form. … [1] (b) Work out ( 3. 8 # 10 22 ) + ( 3. 8 # 10 23 ) . Give your answer in standard form. … [2]
3 marks
Mark scheme: 11(a) 7.08 × 10–3 cao 1 11(b) 4.18 × 1023 cao 2 B1 for figs 418 or M1 for 0.38 × 1023 or 38 × 1022 or 1022(3.8 + 3.8 × 10) or 1023(3.8 ÷ 10 + 3.8) oe
15 (a) Write 66 000 in standard form. … [1] (b) Work out `3.7 # 10 8j + `3. 7 # 10 7j. Give your answer in standard form. … [2]
3 marks
Mark scheme: 15(a) 6.6 × 104 1 15(b) 4.07 × 108 2 M1 for figs 407 or for 0.37 × 108 or 37 × 107 or 107(3.7 × 10 + 3.7) or 108(3.7+ 3.7 ÷ 10) oe