C1.8· 73 questions · 177 marks · 212 min · 2004–2025· Structured questions
Every Cambridge IGCSE Mathematics Paper 1 question on standard form, laid out as 22 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.
![Question 1: Calculate, giving your answer in standard form, For Examiner's (a) (1.5 × 103) + (8.4 × 102), Use Answer(a) [2] (b) (1.5 × 103) × (8.4 × 10…](https://img.pastlit.com/crops/44d13a35-d287-4292-aed4-91e4d89260b0/q21.webp)

1 / 22![Question 4: Work out 2.6 × 10−3 + 9.1 × 10−4. Write your answer in standard form. Answer [2]](https://img.pastlit.com/crops/1de5a75f-f1cc-453c-bf73-80412ef3629e/q13.webp)
![Question 5: (a) (i) Write 17 598 correct to 2 significant figures. For Examiner's Use Answer(a)(i) [1] (ii) Write your answer to part (a)(i) in standar…](https://img.pastlit.com/crops/b716c448-8e82-4734-b6ac-f1c4aaa5ebf2/q16.webp)
2 / 22![Question 7: 0763 2 (a) Calculate . 1.85 + 4.7×8 Answer(a) [1] (b) Write 0.0763 in standard form. Answer(b) [1]](https://img.pastlit.com/crops/2cd2f0a6-59d7-4645-88e0-286e35b9db74/q2.webp)
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![Question 10: 68 + 2.57 × 1.76 13 (a) Work out . 63 Write down all the figures from your calculator display. Answer(a) [1] (b) Write your answer to part …](https://img.pastlit.com/crops/28145eb4-e24e-4efc-af28-d452cfae4fe7/q13.webp)
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![Question 13: (a) Write 1738.279 correct to 1 decimal place. For Examiner's Use Answer(a) [1] (b) Write 28 700 in standard form. Answer(b) [1] (c) The ma…](https://img.pastlit.com/crops/8d17398c-a5e5-47dc-b165-6d0d02dfd2da/q12.webp)
5 / 22![Question 15: (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/311704b6-970a-4239-84fa-d2e4c31bc8ce/q12.webp)
![Question 16: Write these numbers in standard form. (a) 734 000 000 Answer(a) [1] (b) 0.000587 Answer(b) [1]](https://img.pastlit.com/crops/92d3a1af-3354-4cb2-9002-c81ebe2f6855/q7.webp)
6 / 22![Question 18: 0 For .22 (a) Calculate Examiner's 3 28.6 Use Answer(a) [1] (b) Work out (8 × 106)2, giving your answer in standard form. Answer(b) [2]](https://img.pastlit.com/crops/db9304cc-8ebd-4189-a5ab-637b60ced984/q22.webp)
![Question 19: (a) Write 0.000 64 in standard form. For Examiner's Use Answer(a) [1] (b) Calculate, writing the answer in standard form. 7 8.18 × 10 4 5.8…](https://img.pastlit.com/crops/048bece3-cca0-4145-876a-d9c9edd8ad59/q13.webp)
7 / 22![Question 21: Mars is ninety-one million, seven hundred thousand kilometres from Earth. (a) Write this number in figures. Answer(a) [1] (b) Write your an…](https://img.pastlit.com/crops/f90c2ed6-73b2-4d5c-bad1-4fb9a4627e2c/q4.webp)

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![Question 26: (a) Write 569 000 correct to 2 signifi cant fi gures. Answer(a) ................................................ [1] (b) Write 569 000 in sta…](https://img.pastlit.com/crops/0cd3b717-f4d4-4889-8eb6-bafd28e3e284/q6.webp)
9 / 22![Question 28: (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/48182f3f-1f1c-4d7e-8344-1bacb49e1242/q13.webp)
![Question 29: (a) Write 640 000 in standard form. Answer(a) ................................................ [1] (b) Write 7.82 × 10–4 as an ordinary num…](https://img.pastlit.com/crops/995b067f-2a2c-4637-9e3d-bce7f14bfad7/q8.webp)
10 / 22![Question 31: (a) Write 82 600 in standard form. Answer(a) ................................................ [1] 6.02 # 10 8 - 5 # 10 6 (b) Calculate 6 . …](https://img.pastlit.com/crops/edbcf8c1-0ee3-4027-bbbb-352bfb3554ce/q17.webp)
![Question 32: (a) Write 270 000 in standard form. Answer(a) ................................................ [1] (b) Work out the mean of 6.4 × 107 and 8…](https://img.pastlit.com/crops/e9e30d36-31f0-4b84-8b8a-8c2dc4464acb/q10.webp)
11 / 22![Question 34: (a) Write 2016 as the product of prime factors. ................................................... [3] (b) Write 2016 in standard form. ..…](https://img.pastlit.com/crops/61915e9e-3992-4bac-87b9-f9858a7c2163/q22.webp)
![Question 35: Write 1.27 × 10–3 as an ordinary number. ...................................................[1]](https://img.pastlit.com/crops/91dfc33c-35e0-41c0-8710-5a2bb50d0586/q4.webp)
12 / 22![Question 37: (a) Write 14 835 correct to the nearest thousand. ................................................. [1] (b) Write your answer to part (a) i…](https://img.pastlit.com/crops/47555cb7-c319-4d48-be19-3866e91f8491/q9.webp)
![Question 38: Write in standard form. (a) 2 470 000 .................................................[1] (b) 0.0079 .....................................…](https://img.pastlit.com/crops/c854d9b8-7ad8-4fea-ad4c-cf4b3b6aea74/q6.webp)
![Question 39: (a) Write 629 000 in standard form. ................................................... [1] (b) Write .8 21 # 10 -3 as an ordinary number. …](https://img.pastlit.com/crops/deb31e6c-dab7-4969-a198-e44f283d7f17/q6.webp)
13 / 22![Question 41: Write .517 # 10 -3 as an ordinary number. .............................................. [1]](https://img.pastlit.com/crops/d4ef36e9-0a3a-4bb7-bb9d-c43398a2763b/q4.webp)
![Question 42: (a) Write .18 # 104 as an ordinary number. ................................................. [1] (b) Calculate (2. 9 # 10 6 ) - ( 7. 5 # 10…](https://img.pastlit.com/crops/eddebf33-6ce3-451f-9d9e-326f46ec645b/q18.webp)
![Question 43: (a) Write 0.002 68 correct to 2 significant figures. .............................................. [1] (b) Write 0.000 038 7 in standard f…](https://img.pastlit.com/crops/1ad363d5-1d82-41f7-b884-11da0b6ea442/q5.webp)
14 / 22![Question 45: (a) Write .482 # 10 -3 as an ordinary number. ................................................... [1] (b) Write 52 million in standard form…](https://img.pastlit.com/crops/ddfe8510-b93d-4d50-b8a0-3e123e9c8c13/q13.webp)

![Question 47: Write 23 000 in standard form. ................................................ [1]](https://img.pastlit.com/crops/0fee0350-e4f1-477c-8455-a6924583aded/q3.webp)
15 / 22![Question 49: (a) Write 0.046 875 correct to 2 significant figures. .................................................... [1] (b) Write 2 760 000 in stand…](https://img.pastlit.com/crops/492eee66-4873-4ba9-a9f8-48d4d756c80e/q8.webp)
![Question 50: Write the following numbers in standard form. (a) 640 000 ............................................ [1] (b) 0.0006 .....................…](https://img.pastlit.com/crops/9ca31dde-5c6a-4fd0-9e7e-e79fe29b4bd0/q7.webp)
![Question 51: (a) Write 0.047 883 correct to 2 significant figures. ............................................... [1] (b) Write 0.005 27 in standard fo…](https://img.pastlit.com/crops/670b7646-e077-42f1-ba30-06015b0187a6/q10.webp)
16 / 22![Question 53: Write in standard form. (a) 72 000 .................................................... [1] (b) 0.0018 ....................................…](https://img.pastlit.com/crops/38d4efb8-0fc1-40d9-ba12-89b4e31a9600/q11.webp)
![Question 54: (a) Write down the reciprocal of 40. ................................................. [1] (b) Calculate 3 40 . Give your answer correct to…](https://img.pastlit.com/crops/1ecd7499-29c9-4bb9-a644-8829544d1437/q8.webp)
17 / 22![Question 56: (a) Write 45 000 in standard form. ................................................. [1] (b) Write .206 # 10 - 2 as an ordinary number. ...…](https://img.pastlit.com/crops/8745ad0e-fb4c-4184-a200-74fee3021253/q21.webp)

18 / 22![Question 59: (a) Write 0.006 54 in standard form. ................................................. [1] (b) The number .1467 # 10102 is written as an or…](https://img.pastlit.com/crops/da0eb517-c9b6-487e-a526-903eeaa0bdb8/q21.webp)
![Question 60: (a) Write 0.000 74 in standard form. ..................................................... [1] (b) Calculate 4.6 # 10 2 # 6 .7 # 10 5 . Giv…](https://img.pastlit.com/crops/e47f3805-d13e-4095-8d11-dbebb00ad824/q19.webp)
19 / 22![Question 62: Write 0.007 in standard form. ................................................. [1]](https://img.pastlit.com/crops/584bb21c-f14f-4658-8c38-078ecad6cd0f/q17.webp)
![Question 63: Calculate .032 . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/838fab92-9b47-40ec-9e17-e843813fa1ea/q21.webp)
![Question 64: Calculate 1 ' ( 6.4 # 10 -5 ) . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/b70f0e40-bbe8-4586-9fc7-e30d73c9d676/q19.webp)
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![Question 67: Calculate .1827 # 10 6 ' 9000 . Give your answer in standard form. ................................................. [2]](https://img.pastlit.com/crops/b99c3f8e-1e15-4a06-a0c3-2e94c5f2da3e/q21.webp)
![Question 68: Write 174 000 in standard form. ................................................. [1]](https://img.pastlit.com/crops/d5a90822-8b12-4a2f-b166-28a405be7bd2/q17.webp)
21 / 22![Question 70: Calculate ( 6 .4 # 10 5 ) ' ( 2.5 # 10 -7 ) . Give your answer in standard form. ................................................. [1]](https://img.pastlit.com/crops/101ad8c6-cc93-4c30-bd84-36d4d055a684/q21.webp)
![Question 71: Write 0.07 (a) as a percentage ............................................. % [1] (b) as a fraction ......................................…](https://img.pastlit.com/crops/1a2f6f89-ea58-42d2-a2ca-311d10bd09f6/q2.webp)
![Question 72: Write .1753 # 108 as an ordinary number. ................................................. [1]](https://img.pastlit.com/crops/b638ae89-c78e-4b06-934a-8c99781602d8/q26.webp)
22 / 22Answers below. Sit the paper first if you are practising.
Pastlit
Mathematics 0580 · Standard form — Paper 1
IGCSE · topical answer key — answer key (teacher use)
Question
Answer
Marks
4
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5
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1| Question | Answer | Marks | From |
|---|---|---|---|
| 1 | see sheet | 4 | 0580/11 Oct/Nov 2004 |
| 2 | see sheet | 1 | 0580/11 Oct/Nov 2005 |
| 3 | see sheet | 5 | 0580/11 May/June 2006 |
| 4 | see sheet | 2 | 0580/11 Oct/Nov 2006 |
| 5 | see sheet | 4 | 0580/11 Oct/Nov 2007 |
| 6 | see sheet | 3 | 0580/11 Oct/Nov 2008 |
| 7 | see sheet | 2 | 0580/11 May/June 2009 |
| 8 | see sheet | 4 | 0580/11 Oct/Nov 2009 |
| 9 | see sheet | 4 | 0580/12 Oct/Nov 2009 |
| 10 | see sheet | 3 | 0580/12 May/June 2010 |
| 11 | see sheet | 1 | 0580/11 Oct/Nov 2010 |
| 12 | see sheet | 2 | 0580/12 Oct/Nov 2010 |
| 13 | see sheet | 3 | 0580/11 May/June 2011 |
| 14 | see sheet | 2 | 0580/12 May/June 2011 |
| 15 | see sheet | 3 | 0580/13 May/June 2011 |
| 16 | see sheet | 2 | 0580/12 Oct/Nov 2011 |
| 17 | see sheet | 2 | 0580/13 Oct/Nov 2011 |
| 18 | see sheet | 3 | 0580/13 Oct/Nov 2011 |
| 19 | see sheet | 3 | 0580/13 May/June 2012 |
| 20 | see sheet | 2 | 0580/11 Oct/Nov 2012 |
| 21 | see sheet | 2 | 0580/12 Oct/Nov 2012 |
| 22 | see sheet | 3 | 0580/12 May/June 2013 |
| 23 | see sheet | 4 | 0580/13 May/June 2013 |
| 24 | see sheet | 4 | 0580/13 Oct/Nov 2013 |
| 25 | see sheet | 2 | 0580/11 May/June 2014 |
| 26 | see sheet | 2 | 0580/12 May/June 2014 |
| 27 | see sheet | 1 | 0580/13 May/June 2014 |
| 28 | see sheet | 3 | 0580/11 Oct/Nov 2014 |
| 29 | see sheet | 2 | 0580/12 Oct/Nov 2014 |
| 30 | see sheet | 2 | 0580/13 Oct/Nov 2014 |
| 31 | see sheet | 3 | 0580/11 May/June 2015 |
| 32 | see sheet | 3 | 0580/13 May/June 2015 |
| 33 | see sheet | 3 | 0580/13 Oct/Nov 2015 |
| 34 | see sheet | 4 | 0580/12 Feb/March 2016 |
| 35 | see sheet | 1 | 0580/11 May/June 2016 |
| 36 | see sheet | 2 | 0580/12 May/June 2016 |
| 37 | see sheet | 2 | 0580/12 Oct/Nov 2016 |
| 38 | see sheet | 2 | 0580/13 Oct/Nov 2016 |
| 39 | see sheet | 2 | 0580/12 Feb/March 2017 |
| 40 | see sheet | 2 | 0580/12 May/June 2017 |
| 41 | see sheet | 1 | 0580/12 Oct/Nov 2017 |
| 42 | see sheet | 3 | 0580/13 Oct/Nov 2017 |
| 43 | see sheet | 2 | 0580/11 May/June 2018 |
| 44 | see sheet | 2 | 0580/12 May/June 2018 |
| 45 | see sheet | 2 | 0580/13 May/June 2018 |
| 46 | see sheet | 3 | 0580/11 Oct/Nov 2018 |
| 47 | see sheet | 1 | 0580/12 Oct/Nov 2018 |
| 48 | see sheet | 2 | 0580/13 Oct/Nov 2018 |
| 49 | see sheet | 2 | 0580/12 Feb/March 2019 |
| 50 | see sheet | 2 | 0580/11 May/June 2019 |
| 51 | see sheet | 2 | 0580/12 May/June 2019 |
| 52 | see sheet | 2 | 0580/11 Oct/Nov 2019 |
| 53 | see sheet | 2 | 0580/13 Oct/Nov 2019 |
| 54 | see sheet | 4 | 0580/12 Feb/March 2020 |
| 55 | see sheet | 2 | 0580/11 May/June 2020 |
| 56 | see sheet | 2 | 0580/12 May/June 2020 |
| 57 | see sheet | 6 | 0580/12 Oct/Nov 2020 |
| 58 | see sheet | 3 | 0580/12 Feb/March 2021 |
| 59 | see sheet | 2 | 0580/12 May/June 2021 |
| 60 | see sheet | 3 | 0580/13 May/June 2021 |
| 61 | see sheet | 3 | 0580/11 Oct/Nov 2022 |
| 62 | see sheet | 1 | 0580/13 Oct/Nov 2022 |
| 63 | see sheet | 2 | 0580/12 Feb/March 2023 |
| 64 | see sheet | 2 | 0580/11 May/June 2023 |
| 65 | see sheet | 2 | 0580/12 May/June 2023 |
| 66 | see sheet | 2 | 0580/12 Feb/March 2024 |
| 67 | see sheet | 2 | 0580/11 May/June 2024 |
| 68 | see sheet | 1 | 0580/12 May/June 2024 |
| 69 | see sheet | 4 | 0580/13 May/June 2024 |
| 70 | see sheet | 1 | 0580/13 Oct/Nov 2024 |
| 71 | see sheet | 3 | 0580/12 Feb/March 2025 |
| 72 | see sheet | 1 | 0580/11 Oct/Nov 2025 |
| 73 | see sheet | 1 | 0580/13 Oct/Nov 2025 |
21 Calculate, giving your answer in standard form, For Examiner's (a) (1.5 × 103) + (8.4 × 102), Use Answer(a) [2] (b) (1.5 × 103) × (8.4 × 102). Answer(b) [2]
4 marks
Mark scheme: 21 (a) 2.34 x 103 2 SC1 for figs 234 seen or 2.3 x 103 SC1 for figs 126 seen or 1.3 x 106 (b) 1.26 x 106 2
1 The distance from Buenos Aires to Wellington is approximately 10 100 kilometres. For Write this number in standard form. Examiner's Use Answer km [1]
1 marks
Mark scheme: Question Answers Mark Notes 1 1.01(00) x 1044 1
20 There are 565 sheets of paper in a book. (a) How many sheets of paper are there in 2000 of these books? Give your answer in standard form. Answer(a) [2] (b) A pile of 565 sheets of paper is 25 millimetres high. Calculate the thickness of 1 sheet of paper. Give your answer in standard form. Answer(b) mm [3]
5 marks
Mark scheme: 20 (a) 1.13 x 106 2 M1 for 2000 x 565 seen or B1 for figs 113 (b) 4.42(….) x 10–2 3 M1 for 25 ÷ 565 soi and B1 for figs 442(….) 10 Total 56
13 Work out 2.6 × 10−3 + 9.1 × 10−4. Write your answer in standard form. Answer [2]
2 marks
Mark scheme: 13 3.51 × 10 −3 2 B1 for figures 351 seen
16 (a) (i) Write 17 598 correct to 2 significant figures. For Examiner's Use Answer(a)(i) [1] (ii) Write your answer to part (a)(i) in standard form. Answer(a)(ii) [1] (b) Write 5.649 × 10-2 as a decimal, correct to 3 decimal places. Answer(b) [2]
4 marks
Mark scheme: 16 (a)(i) 18 000 1 (ii) 1.8 × 10 4 1 ft 1.7598 × 10 4 gets 0 (b) 0.056 2 B1 for 0.06 or 0.0565 or 0.05649 or 0.057 seen SC1 for final answer 0.0560(0)
13 Write 0.00578 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures, Answer(b) [1] (c) correct to 2 decimal places. Answer(c) [1]
3 marks
Mark scheme: 13 (a) 5.78 × 10 −3 1 (b) 0.0058 1 Accept 5.8 × 10−3 (c) 0.01 1 Accept 1 × 10−2
0.0763 2 (a) Calculate . 1.85 + 4.7×8 Answer(a) [1] (b) Write 0.0763 in standard form. Answer(b) [1]
2 marks
Mark scheme: 2 (a) 0.00193(4….) 1 or 1.93(4…) × 10–3 (b) 7.63 × 10–2 1cao
16 As the earth rotates, a point on the equator moves round at a speed of 1669.8 kilometres/hour. For Examiner's (a) Write down this number in standard form, correct to 3 significant figures. Use Answer(a) [2] (b) Change 1669.8 kilometres/hour into metres/second. Answer(b) m/s [2]
4 marks
Mark scheme: 16 (a) 1.67 × 103 2 W1 for 1.67 × 10n (n ≠ 0) or 1.(…..) × 103 as answer If zero SC1 for figs 167 in answer. (b) 464 or 463.8(3…..) 2 M1 for 1669.8 × 1000 ÷ 3600
16 As the earth rotates, a point on the equator moves round at a speed of 1669.8 kilometres/hour. ForFor Examiner'sExaminer's (a) Write down this number in standard form, correct to 3 significant figures. UseUse Answer(a) [2] (b) Change 1669.8 kilometres/hour into metres/second. Answer(b) m/s [2]
4 marks
Mark scheme: 16 (a) 1.67 × 103 2 W1 for 1.67 × 10n (n ≠ 0) or 1.(…..) × 103 as answer If zero SC1 for figs 167 in answer. (b) 464 or 463.8(3…..) 2 M1 for 1669.8 × 1000 ÷ 3600
0.68 + 2.57 × 1.76 13 (a) Work out . 63 Write down all the figures from your calculator display. Answer(a) [1] (b) Write your answer to part (a) in standard form correct to 3 significant figures. Answer(b) [2]
3 marks
Mark scheme: 13 (a) 0.08259(.….) 1 (b) 8.26 × 10–2 2ft W1 for their figs 826, i.e. to 3 sig figs (a) must have a minimum of 4 figures in order to qualify for this mark. or W1 ind for their (a) in standard form.
2 Write 0.00387 in standard form. Answer [1]
1 marks
Mark scheme: 2 3.87 × 10-3 1
4 The distance from the Sun to the planet Saturn is 1 429 400 000 kilometres. Write this distance in standard form, correct to 3 significant figures. Answer km [2]
2 marks
Mark scheme: 4 1.43 × 109 final answer 2 B1 for answers of 1.43 × 10n (n ≠ 0) or figs 143 or 1.429(….) × 109 SC1 for answer of 1.42 × 109 or 1.4 × 109
12 (a) Write 1738.279 correct to 1 decimal place. For Examiner's Use Answer(a) [1] (b) Write 28 700 in standard form. Answer(b) [1] (c) The mass of a ten-pin bowling ball is 7 kg to the nearest kilogram. Write down the lower bound of the mass of the ball. Answer(c) kg [1]
3 marks
Mark scheme: 12 (a) 1738.3 1 (b) 2.87 × 10 4 1 (c) 6.5 1 IGCSE – May/June 2011 0580 11 2
7 Calculate 324 × 17. Give your answer in standard form, correct to 3 significant figures. Answer [2]
2 marks
Mark scheme: 7 5.51 × 103 2 B1 for 5.508 × 103 or figs 551 or 5.5 × 103
12 (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: 12 (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
7 Write these numbers in standard form. (a) 734 000 000 Answer(a) [1] (b) 0.000587 Answer(b) [1]
2 marks
Mark scheme: 7 (a) 7.34 × 108 1 (b) 5.87 × 10–4 1
12 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: 12 (a) 1.28 × 105 1 (b) 128 500 1
700 For .22 (a) Calculate Examiner's 3 28.6 Use Answer(a) [1] (b) Work out (8 × 106)2, giving your answer in standard form. Answer(b) [2]
3 marks
Mark scheme: 22 (a) 0.0299 or 0.02992… 1 (b) 6.4 × 1013 2 B1 for 64 × 1012 or 64 000 000 000 000
13 (a) Write 0.000 64 in standard form. For Examiner's Use Answer(a) [1] (b) Calculate, writing the answer in standard form. 7 8.18 × 10 4 5.84 × 10 Answer(b) [2]
3 marks
Mark scheme: 13 (a) 6.4 × 10–4 1 (b) 1.4 × 103 2 M1 for 1400 or answer rounding to 1401 or 1.4 × 10k
10 (a) Write 230 000 in standard form. For Examiner's Use Answer(a) [1] O4 (b) Write 4.8 × 10 as an ordinary number. Answer(b) [1]
2 marks
Mark scheme: 10 (a) 2.3 × 105 1 (b) [0].00048 1 17 34 9 17 5 18 34 45
4 Mars is ninety-one million, seven hundred thousand kilometres from Earth. (a) Write this number in figures. Answer(a) [1] (b) Write your answer to part (a) in standard form. Answer(b) [1]
2 marks
Mark scheme: 4 (a) 91 700 000 1 (b) 9.17 × 107 1 ft Their (a) in standard form. 5
16 (a) The average distance of the Moon from the Earth is 384 400 km. Write this distance in standard form. Answer(a) … km [1] (b) Calculate (4.3 × 108 ) + (2.5 × 107 ) . Give your answer in standard form. Answer(b) … [2] _____________________________________________________________________________________
3 marks
Mark scheme: 16 (a) 3.844 × 105 1 (b) 4.55 × 108 2 B1 for figs 455 seen
16 Calculate, giving your answers in standard form, (a) 2 × (5.5 × 104) , Answer(a) … [2] (b) (5.5 × 104) – (5 × 104) . Answer(b) … [2] _____________________________________________________________________________________
4 marks
Mark scheme: 16 (a) 1.1 × 10 5 2 B1 for 110 000 oe e.g.11 × 10 4 (b) 3 2 4 5 × 10 B1 for 5000 oe e.g.0.5 × 10
19 Write the answer to the following calculations in standard form. (a) 600 ÷ 8000 Answer(a) … [2] (b) 108 – 7 × 106 Answer(b) … [2] _____________________________________________________________________________________
4 marks
Mark scheme: 6 19 (a) 7.5 × 10–2 2 M1 for 0.075 or 3/40 80 0.75 × 10–1 or 75 × 10–3 oe (b) 9.3 × 107 2 M1 for 93 000 000 or 93 × 106 or 0.93 × 108 oe
4 A city has a population of fi ve hundred and six thousand. Write the size of the population (a) in fi gures, Answer(a) … [1] (b) in standard form. Answer(b) … [1] __________________________________________________________________________________________
2 marks
Mark scheme: 4 (a) 506 000 1 (b) 5.06 × 105 1FT Follow through their part (a) 5× 2
6 (a) Write 569 000 correct to 2 signifi cant fi gures. Answer(a) … [1] (b) Write 569 000 in standard form. Answer(b) … [1] __________________________________________________________________________________________
2 marks
Mark scheme: 6 (a) 570 000 1 (b) 5.69 × 105 1
6 Write 45 000 in standard form. Answer … [1] __________________________________________________________________________________________
1 marks
Mark scheme: 6 4.5 × 104 1
13 (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: 13 (a) 280 1 (b) 5× 10 6 2 B1 for 5 000 000 oe or B1 for answer k × 10 6 or 5× 10 k
8 (a) Write 640 000 in standard form. Answer(a) … [1] (b) Write 7.82 × 10–4 as an ordinary number. Answer(b) … [1] __________________________________________________________________________________________
2 marks
Mark scheme: 8 (a) 6.4 × 105 1 (b) [0].000782 1
12 Work out 4 × 10–5 × 6 × 1012. Give your answer in standard form. Answer … [2] __________________________________________________________________________________________
2 marks
Mark scheme: 12 4.2 × 10 8 2 B1 for 240 000 000 oe or B1 for k × 10 8 or 4.2 × 10 k
17 (a) Write 82 600 in standard form. Answer(a) … [1] 6.02 # 10 8 - 5 # 10 6 (b) Calculate 6 . 3 # 10 Give your answer in standard form. Answer(b) … [2] __________________________________________________________________________________________
3 marks
Mark scheme: 17 (a) 8.26 × 104 1 (b) 1.99 × 102 2 B1 for figs 199
10 (a) Write 270 000 in standard form. Answer(a) … [1] (b) Work out the mean of 6.4 × 107 and 8.5 × 108. Write your answer in standard form. Answer(b) … [2] __________________________________________________________________________________________
3 marks
Mark scheme: 10 (a) 2.7 × 105 1 (b) 4.57 × 108 2 M1 for (6.4 × 107 + 8.5 × 108) ÷ 2 or better If 0 scored SC1 for figs 457 or 9.14 × 108
19 (a) Write 1.7 × 10–4 as an ordinary number. Answer(a) … [1] (b) Work out (3.8 × 104) × (2.7 × 10–8). Give your answer in standard form. Answer(b) … [2] __________________________________________________________________________________________
3 marks
Mark scheme: 19 (a) [0].00017 1 (b) 1.026 × 10–3 2 B1 for 10.26 ×10−4 oe
22 (a) Write 2016 as the product of prime factors. … [3] (b) Write 2016 in standard form. … [1]
4 marks
Mark scheme: 22 (a) 25 × 32 × 7 oe final answer 3 B2 for product of two of 2 5 , 32 , 7 or B1 for 2, 3 and 7 seen or M1 for 2 × 1008 or 3 × 672 or 7 × 288 soi (b) 2.016 × 103 1
4 Write 1.27 × 10–3 as an ordinary number. … [1]
1 marks
Mark scheme: 4 [0].00127 1
11 (a) Write 2 600 000 in standard form. … [1] (b) Write 5.8 × 10–3 as an ordinary number. … [1]
2 marks
Mark scheme: 11 (a) 2.6 × 106 1 (b) [0].0058 1 1
9 (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: 9 (a) 15 000 cao 1 (b) 1.5 × 104 1FT FT their (a)
6 Write in standard form. (a) 2 470 000 … [1] (b) 0.0079 … [1]
2 marks
Mark scheme: 6 (a) 2.47 × 106 1 (b) 7.9 × 10–3 1
6 (a) Write 629 000 in standard form. … [1] (b) Write .8 21 # 10 -3 as an ordinary number. … [1]
2 marks
Mark scheme: 6 (a) 6.29×105 1 (b) [0].00821 1
14 (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: 14(a) 6.05 × 10 –2 1 14(b) 5.1 × 10 3 1
4 Write .517 # 10 -3 as an ordinary number. … [1]
1 marks
Mark scheme: 4 [0].00517 1
18 (a) Write .18 # 104 as an ordinary number. … [1] (b) Calculate (2. 9 # 10 6 ) - ( 7. 5 # 10 5 ) . Give your answer in standard form. … [2]
3 marks
Mark scheme: 18(a) 18 000 1 18(b) 2.15 × 106 2 B1 for answer figs 215 or correct answer not in standard form
5 (a) Write 0.002 68 correct to 2 significant figures. … [1] (b) Write 0.000 038 7 in standard form. … [1]
2 marks
Mark scheme: 5(a) [0].0027 1 5(b) 3.87 × 10–5 1
11 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: 11(a) 1.36 × 106 oe 1 11(b) 5.21 × 10–3 oe 1
13 (a) Write .482 # 10 -3 as an ordinary number. … [1] (b) Write 52 million in standard form. … [1]
2 marks
Mark scheme: 13(a) [0].004 82 cao 1 13(b) 5.2 × 107 1
21 (a) In 2016, the population of Nigeria was 187 000 000. Write 187 000 000 in standard form. … [1] (b) In 2016, the population of South Africa was .550 # 107. In 2016, the population of Kenya was .472 # 107. Calculate the difference between the population of South Africa and the population of Kenya. Give your answer in standard form. … [2]
3 marks
Mark scheme: 21(a) 1.87 × 108 1 21(b) 7.8 × 106 2 B1 for answer figs 78
3 Write 23 000 in standard form. … [1]
1 marks
Mark scheme: 3 2.3 × 104 1
13 (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: 13(a) 5 000 207 1 13(b) 8.13 × 10–3 1
8 (a) Write 0.046 875 correct to 2 significant figures. … [1] (b) Write 2 760 000 in standard form. … [1]
2 marks
Mark scheme: 8(a) 0.047 1 8(b) 2.76 × 106 1
7 Write the following numbers in standard form. (a) 640 000 … [1] (b) 0.0006 … [1]
2 marks
Mark scheme: 7(a) 6.4 × 105 1 7(b) 6 × 10-4 1
10 (a) Write 0.047 883 correct to 2 significant figures. … [1] (b) Write 0.005 27 in standard form. … [1]
2 marks
Mark scheme: 10(a) 0.048 cao 1 10(b) 5.27 × 10− 3 1
11 Write 15 060 (a) in words, … [1] (b) in standard form. … [1]
2 marks
Mark scheme: 11(a) Fifteen thousand [and] sixty 1 11(b) 1.506[0] × 104 1
11 Write in standard form. (a) 72 000 … [1] (b) 0.0018 … [1]
2 marks
Mark scheme: 11(a) 7.2 × 104 1 11(b) 1.8 × 10−3 1
8 (a) Write down the reciprocal of 40. … [1] (b) Calculate 3 40 . Give your answer correct to 4 decimal places. … [2] (c) Write the number 40 in standard form. … [1]
4 marks
Mark scheme: 8(a) 1 1 or 0.025 40 8(b) 3.4200 cao 2 B1 for 3.419 to 3.420 8(c) 4[.0] × 10[1] cao 1
16 (a) Write the number 0.0605 in standard form. … [1] (b) Calculate ( 1. 63 # 10 12 ) # ( 2.47 # 10 -1 ) . Give your answer in standard form. … [1]
2 marks
Mark scheme: 16(a) 6.05 × 10−2 1 16(b) 4.0261 × 1011 1
21 (a) Write 45 000 in standard form. … [1] (b) Write .206 # 10 - 2 as an ordinary number. … [1]
2 marks
Mark scheme: 21(a) 4.5 × 104 1 21(b) 0.0206 1
18 (a) The length, l cm, of a pencil is 18 cm, correct to the nearest centimetre. Complete the statement about the value of l. … G l 1 … [2] (b) (i) Write .9314 # 105 as an ordinary number. … [1] (ii) Calculate ( 4.1 # 10 - 3 ) # (8 .9 # 10 7 ) . Give your answer in standard form. … [2] (c) Calculate ( 8 + 4 # 75 .06 ) . … [1]
6 marks
Mark scheme: 18(a) 17.5 18.5 2 B1 for each If 0 scored, SC1 for both correct but reversed 18(b)(i) 931 400 1 18(b)(ii) 3.649 × 105 2 B1 for 364 900 or for a correct final answer not in standard form 18(c) 7.83 or 7.83[2…..] 1
16 (a) Write 567 000 000 in standard form. … [1] (b) .65 # 10 -2 .61 # 10 -1 .62 # 102 .679 # 101 .618 # 102 .635 # 10 -2 Calculate the product of the largest number and the smallest number from this list. Give your answer in standard form. … [2]
3 marks
Mark scheme: 16(a) 5.67 × 10 8 1 16(b) 3.937 × 101 2 M1 for 6.35 × 10 − 2 × k or j × 6 .2 × 1 0 2 where j and k are another number from the list or B1 for 6.35 × 10 − 2 and 6.2 × 10 2 selected or for figs 3937
21 (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: 21(a) 6.54 × 10−3 1 21(b) 99 1
19 (a) Write 0.000 74 in standard form. … [1] (b) Calculate 4.6 # 10 2 # 6 .7 # 10 5 . Give your answer in standard form, correct to 2 significant figures. … [2]
3 marks
Mark scheme: 19(a) 7.4 × 10-4 1 19(b) 3.1 × 108 2 B1 for figs 31 or 3.082 × 108
20 (a) Write 0.00273 in standard form. … [1] (b) Sam has to answer this question. Calculate 9306 # 4532 . Give your answer in standard form correct to 3 significant figures. Sam writes 42.1 # 106 as his answer to this question. What two errors has Sam made? Error 1 … Error 2 … [2]
3 marks
Mark scheme: 20(a) 2.73 × 10–3 cao 1 20(b) 42.1 is incorrectly rounded [to 3 significant 2 B1 for each figures] oe If B0 scored, SC1 for 4.22×107 42.1 × 106 is not correct standard form oe seen
17 Write 0.007 in standard form. … [1]
1 marks
Mark scheme: 17 7 10–3 1
21 Calculate .032 . Give your answer in standard form. … [2]
2 marks
Mark scheme: 21 9 10−2 2 B1 for 0.09 oe or M1 for their decimal correctly converted to standard form if negative power
19 Calculate 1 ' ( 6.4 # 10 -5 ) . Give your answer in standard form. … [2]
2 marks
Mark scheme: 19 1.5625 × 104 2 B1 for 1.56 × 104 or 1.562 × 104 or 1.563 × 104 or figs 15625
18 (a) Write 45 000 in standard form. … [1] (b) Calculate 6.75 # 10 -3 # 4.2 # 10 5 . Give your answer in standard form. … [1]
2 marks
Mark scheme: 18(a) 4.5 × 104 1 18(b) 2.835 × 103 1
22 6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n. Give your answer in standard form. n = … [2]
2 marks
Mark scheme: 22 8.4 103 2 B1 for 8400 oe seen or M1 for their answer correctly converted to standard form
21 Calculate .1827 # 10 6 ' 9000 . Give your answer in standard form. … [2]
2 marks
Mark scheme: 21 2.03 10 2 cao 2 B1 for 203 oe If 0 scored, SC1 for writing their ordinary number correctly in standard form
17 Write 174 000 in standard form. … [1]
1 marks
Mark scheme: 17 1.74 × 105 1
22 (a) Write these numbers in standard form. (i) 0.007 … [1] (ii) 700 000 000 … [1] 3200 # 5 .4 # 10 -3 (b) Calculate . 4.8 # 10 -4 Give your answer in standard form. … [2]
4 marks
Mark scheme: 22(a)(i) 7 × 10–3 1 22(a)(ii) 7 × 108 1 22(b) 3.6 × 104 2 B1 for 36 000 or for writing their ordinary number correctly in standard form or for 36 000 written in incorrect standard form
21 Calculate ( 6 .4 # 10 5 ) ' ( 2.5 # 10 -7 ) . Give your answer in standard form. … [1]
1 marks
Mark scheme: 21 2.56 × 1012 1
2 Write 0.07 (a) as a percentage … % [1] (b) as a fraction … [1] (c) in standard form. … [1]
3 marks
Mark scheme: 2(a) 7 1 2(b) 7 1 100 2(c) 7 10− 2 1
26 Write .1753 # 108 as an ordinary number. … [1]
1 marks
Mark scheme: 26 175 300 000 cao 1
27 Sam writes 851 000 in standard form as 85.1 # 104 . Explain why 85.1 # 104 is not a number in standard form. … … [1]
1 marks
Mark scheme: 27 In standard form the value is written as 1 a × 10n where 1 ⩽ a < 10 and 85.1 is greater than 10 oe