TopicalMathematics 0580NumberStandard formPaper 1

Standard form — Paper 1 · IGCSE Mathematics 0580

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.

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Questions22 pages

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…Question 2: The distance from Buenos Aires to Wellington is approximately 10 100 kilometres. For Write this number in standard form. Examiner's Use Ans…Question 3: 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. …1 / 22
Question 4: Work out 2.6 × 10−3 + 9.1 × 10−4. Write your answer in standard form. Answer [2]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…Question 6: 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. Answ…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]Question 8: 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…3 / 22
Question 9: 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 t…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 …Question 11: Write 0.00387 in standard form. Answer [1]4 / 22
Question 12: 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 …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…Question 14: Calculate 324 × 17. Give your answer in standard form, correct to 3 significant figures. Answer [2]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]Question 16: Write these numbers in standard form. (a) 734 000 000 Answer(a) [1] (b) 0.000587 Answer(b) [1]Question 17: 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 …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]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…Question 20: (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]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…Question 22: (a) The average distance of the Moon from the Earth is 384 400 km. Write this distance in standard form. Answer(a) ........................…Question 23: Calculate, giving your answers in standard form, (a) 2 × (5.5 × 104) , Answer(a) ............................................... [2] (b) (5…8 / 22
Question 24: Write the answer to the following calculations in standard form. (a) 600 ÷ 8000 Answer(a) ............................................... […Question 25: A city has a population of fi ve hundred and six thousand. Write the size of the population (a) in fi gures, Answer(a) ......................…Question 26: (a) Write 569 000 correct to 2 signifi cant fi gures. Answer(a) ................................................ [1] (b) Write 569 000 in sta…Question 27: Write 45 000 in standard form. Answer ................................................ [1] ________________________________________________…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…Question 29: (a) Write 640 000 in standard form. Answer(a) ................................................ [1] (b) Write 7.82 × 10–4 as an ordinary num…Question 30: Work out 4 × 10–5 × 6 × 1012. Give your answer in standard form. Answer ................................................ [2] ______________…10 / 22
Question 31: (a) Write 82 600 in standard form. Answer(a) ................................................ [1] 6.02 # 10 8 - 5 # 10 6 (b) Calculate 6 . …Question 32: (a) Write 270 000 in standard form. Answer(a) ................................................ [1] (b) Work out the mean of 6.4 × 107 and 8…Question 33: (a) Write 1.7 × 10–4 as an ordinary number. Answer(a) ................................................ [1] (b) Work out (3.8 × 104) × (2.7 …11 / 22
Question 34: (a) Write 2016 as the product of prime factors. ................................................... [3] (b) Write 2016 in standard form. ..…Question 35: Write 1.27 × 10–3 as an ordinary number. ...................................................[1]Question 36: (a) Write 2 600 000 in standard form. .................................................. [1] (b) Write 5.8 × 10–3 as an ordinary number. ..…12 / 22
Question 37: (a) Write 14 835 correct to the nearest thousand. ................................................. [1] (b) Write your answer to part (a) i…Question 38: Write in standard form. (a) 2 470 000 .................................................[1] (b) 0.0079 .....................................…Question 39: (a) Write 629 000 in standard form. ................................................... [1] (b) Write .8 21 # 10 -3 as an ordinary number. …Question 40: (a) Write 0.0605 in standard form. ................................................. [1] (b) Calculate 0.1 # 5 .1 # 104 , giving your answe…13 / 22
Question 41: Write .517 # 10 -3 as an ordinary number. .............................................. [1]Question 42: (a) Write .18 # 104 as an ordinary number. ................................................. [1] (b) Calculate (2. 9 # 10 6 ) - ( 7. 5 # 10…Question 43: (a) Write 0.002 68 correct to 2 significant figures. .............................................. [1] (b) Write 0.000 038 7 in standard f…Question 44: 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, wri…14 / 22
Question 45: (a) Write .482 # 10 -3 as an ordinary number. ................................................... [1] (b) Write 52 million in standard form…Question 46: (a) In 2016, the population of Nigeria was 187 000 000. Write 187 000 000 in standard form. ...............................................…Question 47: Write 23 000 in standard form. ................................................ [1]Question 48: (a) Write the number five million, two hundred and seven in figures. ................................................. [1] (b) Write 0.008 …15 / 22
Question 49: (a) Write 0.046 875 correct to 2 significant figures. .................................................... [1] (b) Write 2 760 000 in stand…Question 50: Write the following numbers in standard form. (a) 640 000 ............................................ [1] (b) 0.0006 .....................…Question 51: (a) Write 0.047 883 correct to 2 significant figures. ............................................... [1] (b) Write 0.005 27 in standard fo…Question 52: Write 15 060 (a) in words, ................................................................................................................…16 / 22
Question 53: Write in standard form. (a) 72 000 .................................................... [1] (b) 0.0018 ....................................…Question 54: (a) Write down the reciprocal of 40. ................................................. [1] (b) Calculate 3 40 . Give your answer correct to…Question 55: (a) Write the number 0.0605 in standard form. ................................................. [1] (b) Calculate ( 1. 63 # 10 12 ) # ( 2.4…17 / 22
Question 56: (a) Write 45 000 in standard form. ................................................. [1] (b) Write .206 # 10 - 2 as an ordinary number. ...…Question 57: (a) The length, l cm, of a pencil is 18 cm, correct to the nearest centimetre. Complete the statement about the value of l. ...............…Question 58: (a) Write 567 000 000 in standard form. ................................................. [1] (b) .65 # 10 -2 .61 # 10 -1 .62 # 102 .679 # …18 / 22
Question 59: (a) Write 0.006 54 in standard form. ................................................. [1] (b) The number .1467 # 10102 is written as an or…Question 60: (a) Write 0.000 74 in standard form. ..................................................... [1] (b) Calculate 4.6 # 10 2 # 6 .7 # 10 5 . Giv…Question 61: (a) Write 0.00273 in standard form. ................................................. [1] (b) Sam has to answer this question. Calculate 93…19 / 22
Question 62: Write 0.007 in standard form. ................................................. [1]Question 63: Calculate .032 . Give your answer in standard form. ................................................. [2]Question 64: Calculate 1 ' ( 6.4 # 10 -5 ) . Give your answer in standard form. ................................................. [2]Question 65: (a) Write 45 000 in standard form. ................................................. [1] (b) Calculate 6.75 # 10 -3 # 4.2 # 10 5 . Give you…20 / 22
Question 66: 6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n. Give your answer in standard form. n = ...........................................…Question 67: Calculate .1827 # 10 6 ' 9000 . Give your answer in standard form. ................................................. [2]Question 68: Write 174 000 in standard form. ................................................. [1]Question 69: (a) Write these numbers in standard form. (i) 0.007 ................................................. [1] (ii) 700 000 000 ................…21 / 22
Question 70: Calculate ( 6 .4 # 10 5 ) ' ( 2.5 # 10 -7 ) . Give your answer in standard form. ................................................. [1]Question 71: Write 0.07 (a) as a percentage ............................................. % [1] (b) as a fraction ......................................…Question 72: Write .1753 # 108 as an ordinary number. ................................................. [1]Question 73: Sam writes 851 000 in standard form as 85.1 # 104 . Explain why 85.1 # 104 is not a number in standard form. ..............................…22 / 22

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Mathematics 0580 · Standard form — Paper 1

IGCSE · topical answer key — answer key (teacher use)

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Another paper, or another topic

Paper

All of Number

Questions as text

Q1 · Calculate, giving your answer in standard form, For Examiner's (a) (1.5 × 103) + (8.4 ×… 0580/11 Oct/Nov 2004

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

This question in 0580/11 Oct/Nov 2004

Q2 · The distance from Buenos Aires to Wellington is approximately 10 100 kilometres 0580/11 Oct/Nov 2005

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

This question in 0580/11 Oct/Nov 2005

Q3 · There are 565 sheets of paper in a book 0580/11 May/June 2006

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

This question in 0580/11 May/June 2006

Q4 · Work out 2.6 × 10−3 + 9.1 × 10−4 0580/11 Oct/Nov 2006

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

This question in 0580/11 Oct/Nov 2006

Q5 · Write 17 598 correct to 2 significant figures 0580/11 Oct/Nov 2007

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)

This question in 0580/11 Oct/Nov 2007

Q6 · Write 0.00578 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures… 0580/11 Oct/Nov 2008

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

This question in 0580/11 Oct/Nov 2008

Q7 · 0763 2 (a) Calculate 0580/11 May/June 2009

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

This question in 0580/11 May/June 2009

Q8 · As the earth rotates, a point on the equator moves round at a speed of 1669.8… 0580/11 Oct/Nov 2009

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

This question in 0580/11 Oct/Nov 2009

Q9 · As the earth rotates, a point on the equator moves round at a speed of 1669.8… 0580/12 Oct/Nov 2009

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

This question in 0580/12 Oct/Nov 2009

Q10 · 68 + 2.57 × 1.76 13 (a) Work out 0580/12 May/June 2010

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.

This question in 0580/12 May/June 2010

Q11 · Write 0.00387 in standard form 0580/11 Oct/Nov 2010

2 Write 0.00387 in standard form. Answer [1]

1 marks

Mark scheme: 2 3.87 × 10-3 1

This question in 0580/11 Oct/Nov 2010

Q12 · The distance from the Sun to the planet Saturn is 1 429 400 000 kilometres 0580/12 Oct/Nov 2010

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

This question in 0580/12 Oct/Nov 2010

Q13 · Write 1738.279 correct to 1 decimal place 0580/11 May/June 2011

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

This question in 0580/11 May/June 2011

Q14 · Calculate 324 × 17 0580/12 May/June 2011

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

This question in 0580/12 May/June 2011

Q15 · Write 16 460 000 in standard form 0580/13 May/June 2011

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

This question in 0580/13 May/June 2011

Q16 · Write these numbers in standard form 0580/12 Oct/Nov 2011

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

This question in 0580/12 Oct/Nov 2011

Q17 · The population of a city is 128 000, correct to the nearest thousand 0580/13 Oct/Nov 2011

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

This question in 0580/13 Oct/Nov 2011

Q18 · 0 For .22 (a) Calculate Examiner's 3 28.6 Use Answer(a) [1] (b) Work out (8 × 106)2… 0580/13 Oct/Nov 2011

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

This question in 0580/13 Oct/Nov 2011

Q19 · Write 0.000 64 in standard form 0580/13 May/June 2012

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

This question in 0580/13 May/June 2012

Q20 · Write 230 000 in standard form 0580/11 Oct/Nov 2012

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

This question in 0580/11 Oct/Nov 2012

Q21 · Mars is ninety-one million, seven hundred thousand kilometres from Earth 0580/12 Oct/Nov 2012

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

This question in 0580/12 Oct/Nov 2012

Q22 · The average distance of the Moon from the Earth is 384 400 km 0580/12 May/June 2013

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

This question in 0580/12 May/June 2013

Q23 · Calculate, giving your answers in standard form, (a) 2 × (5.5 × 104) , Answer(a) … [2]… 0580/13 May/June 2013

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

This question in 0580/13 May/June 2013

Q24 · Write the answer to the following calculations in standard form 0580/13 Oct/Nov 2013

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

This question in 0580/13 Oct/Nov 2013

Q25 · A city has a population of fi ve hundred and six thousand 0580/11 May/June 2014

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

This question in 0580/11 May/June 2014

Q26 · Write 569 000 correct to 2 signifi cant fi gures 0580/12 May/June 2014

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

This question in 0580/12 May/June 2014

Q27 · Write 45 000 in standard form 0580/13 May/June 2014

6 Write 45 000 in standard form. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 6 4.5 × 104 1

This question in 0580/13 May/June 2014

Q28 · Write 2.8 × 102 as an ordinary number 0580/11 Oct/Nov 2014

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

This question in 0580/11 Oct/Nov 2014

Q29 · Write 640 000 in standard form 0580/12 Oct/Nov 2014

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

This question in 0580/12 Oct/Nov 2014

Q30 · Work out 4 × 10–5 × 6 × 1012 0580/13 Oct/Nov 2014

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

This question in 0580/13 Oct/Nov 2014

Q31 · Write 82 600 in standard form 0580/11 May/June 2015

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

This question in 0580/11 May/June 2015

Q32 · Write 270 000 in standard form 0580/13 May/June 2015

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

This question in 0580/13 May/June 2015

Q33 · Write 1.7 × 10–4 as an ordinary number 0580/13 Oct/Nov 2015

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

This question in 0580/13 Oct/Nov 2015

Q34 · Write 2016 as the product of prime factors 0580/12 Feb/March 2016

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

This question in 0580/12 Feb/March 2016

Q35 · Write 1.27 × 10–3 as an ordinary number 0580/11 May/June 2016

4 Write 1.27 × 10–3 as an ordinary number. … [1]

1 marks

Mark scheme: 4 [0].00127 1

This question in 0580/11 May/June 2016

Q36 · Write 2 600 000 in standard form 0580/12 May/June 2016

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

This question in 0580/12 May/June 2016

Q37 · Write 14 835 correct to the nearest thousand 0580/12 Oct/Nov 2016

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)

This question in 0580/12 Oct/Nov 2016

Q38 · Write in standard form 0580/13 Oct/Nov 2016

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

This question in 0580/13 Oct/Nov 2016

Q39 · Write 629 000 in standard form 0580/12 Feb/March 2017

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

This question in 0580/12 Feb/March 2017

Q40 · Write 0.0605 in standard form 0580/12 May/June 2017

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

This question in 0580/12 May/June 2017

Q41 · Write .517 # 10 -3 as an ordinary number 0580/12 Oct/Nov 2017

4 Write .517 # 10 -3 as an ordinary number. … [1]

1 marks

Mark scheme: 4 [0].00517 1

This question in 0580/12 Oct/Nov 2017

Q42 · Write .18 # 104 as an ordinary number 0580/13 Oct/Nov 2017

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

This question in 0580/13 Oct/Nov 2017

Q43 · Write 0.002 68 correct to 2 significant figures 0580/11 May/June 2018

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

This question in 0580/11 May/June 2018

Q44 · Here are some numbers written in standard form 0580/12 May/June 2018

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

This question in 0580/12 May/June 2018

Q45 · Write .482 # 10 -3 as an ordinary number 0580/13 May/June 2018

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

This question in 0580/13 May/June 2018

Q46 · In 2016, the population of Nigeria was 187 000 000 0580/11 Oct/Nov 2018

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

This question in 0580/11 Oct/Nov 2018

Q47 · Write 23 000 in standard form 0580/12 Oct/Nov 2018

3 Write 23 000 in standard form. … [1]

1 marks

Mark scheme: 3 2.3 × 104 1

This question in 0580/12 Oct/Nov 2018

Q48 · Write the number five million, two hundred and seven in figures 0580/13 Oct/Nov 2018

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

This question in 0580/13 Oct/Nov 2018

Q49 · Write 0.046 875 correct to 2 significant figures 0580/12 Feb/March 2019

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

This question in 0580/12 Feb/March 2019

Q50 · Write the following numbers in standard form 0580/11 May/June 2019

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

This question in 0580/11 May/June 2019

Q51 · Write 0.047 883 correct to 2 significant figures 0580/12 May/June 2019

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

This question in 0580/12 May/June 2019

Q52 · Write 15 060 (a) in words, … [1] (b) in standard form 0580/11 Oct/Nov 2019

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

This question in 0580/11 Oct/Nov 2019

Q53 · Write in standard form 0580/13 Oct/Nov 2019

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

This question in 0580/13 Oct/Nov 2019

Q54 · Write down the reciprocal of 40 0580/12 Feb/March 2020

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

This question in 0580/12 Feb/March 2020

Q55 · Write the number 0.0605 in standard form 0580/11 May/June 2020

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

This question in 0580/11 May/June 2020

Q56 · Write 45 000 in standard form 0580/12 May/June 2020

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

This question in 0580/12 May/June 2020

Q57 · The length, l cm, of a pencil is 18 cm, correct to the nearest centimetre 0580/12 Oct/Nov 2020

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

This question in 0580/12 Oct/Nov 2020

Q58 · Write 567 000 000 in standard form 0580/12 Feb/March 2021

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

This question in 0580/12 Feb/March 2021

Q59 · Write 0.006 54 in standard form 0580/12 May/June 2021

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

This question in 0580/12 May/June 2021

Q60 · Write 0.000 74 in standard form 0580/13 May/June 2021

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

This question in 0580/13 May/June 2021

Q61 · Write 0.00273 in standard form 0580/11 Oct/Nov 2022

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

This question in 0580/11 Oct/Nov 2022

Q62 · Write 0.007 in standard form 0580/13 Oct/Nov 2022

17 Write 0.007 in standard form. … [1]

1 marks

Mark scheme: 17 7  10–3 1

This question in 0580/13 Oct/Nov 2022

Question 63 0580/12 Feb/March 2023

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

This question in 0580/12 Feb/March 2023

Q64 · Calculate 1 ' ( 6.4 # 10 -5 ) 0580/11 May/June 2023

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

This question in 0580/11 May/June 2023

Q65 · Write 45 000 in standard form 0580/12 May/June 2023

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

This question in 0580/12 May/June 2023

Q66 · 6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n 0580/12 Feb/March 2024

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

This question in 0580/12 Feb/March 2024

Q67 · Calculate .1827 # 10 6 ' 9000 0580/11 May/June 2024

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

This question in 0580/11 May/June 2024

Q68 · Write 174 000 in standard form 0580/12 May/June 2024

17 Write 174 000 in standard form. … [1]

1 marks

Mark scheme: 17 1.74 × 105 1

This question in 0580/12 May/June 2024

Q69 · Write these numbers in standard form 0580/13 May/June 2024

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

This question in 0580/13 May/June 2024

Q70 · Calculate ( 6 .4 # 10 5 ) ' ( 2.5 # 10 -7 ) 0580/13 Oct/Nov 2024

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

This question in 0580/13 Oct/Nov 2024

Q71 · Write 0.07 (a) as a percentage … % [1] (b) as a fraction … [1] (c) in standard form 0580/12 Feb/March 2025

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

This question in 0580/12 Feb/March 2025

Q72 · Write .1753 # 108 as an ordinary number 0580/11 Oct/Nov 2025

26 Write .1753 # 108 as an ordinary number. … [1]

1 marks

Mark scheme: 26 175 300 000 cao 1

This question in 0580/11 Oct/Nov 2025

Q73 · Sam writes 851 000 in standard form as 85.1 # 104 0580/13 Oct/Nov 2025

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

This question in 0580/13 Oct/Nov 2025