Types of number — Paper 1 · IGCSE Mathematics 0580

18 (a) List all the factors of 30. Answer(a) [2] (b) Write down the prime factors of 30. (1 is not a prime number.) Answer(b) [1]

3 marks

Mark scheme: 18 (a) 1,2,3,5,6,10,15,30 cao 2 B1 for 4 correct factors, none or 1 x 30, 2 x 15, 3 x 10, incorrect. 5 x 6 cao (b) 2,3,5 or 2 x 3 x 5 1f.t. All the correct primes from his part (a), and at least one prime and no non-primes.

This question in 0580/11 Oct/Nov 2004

6 2, 3, 5, 9, 12, 15 From the set of numbers above, write down (a) a multiple of 6, Answer (a) [1] (b) a prime factor of 27. Answer (b) [1]

2 marks

Mark scheme: 6 (a) 12 only 1 (b) 3 only 1

This question in 0580/11 May/June 2005

15 (a) Write down a common multiple of 6 and 8. Answer (a) [1] (b) Work out 5 3 − . 6 8 Give your answer as a fraction in its lowest terms. You must show all your working. Answer (b) [2]

3 marks

Mark scheme: 15 (a) multiple of 24 1 ignore extras if lowest correct 11 2 M1 for a correct attempt at two equivalent fractions (b) 24 5×8 3×6 (e.g.. 48 and 48 seen or better) ww. and decimals alone zero

This question in 0580/11 May/June 2005

4 Which one of the numbers below is not a rational number? 7 23 5 –1 12 81 Answer [1]

1 marks

Mark scheme: 4 √5 1

This question in 0580/11 Oct/Nov 2005

10 An integer n is such that 60 n 70. For Write down a value of n which is Examiner's Use (a) a prime number, Answer(a) [1] (b) a multiple of 9, Answer(b) [1] (c) a square number. Answer(c) [1]

3 marks

Mark scheme: 10 (a) 61 or 67 1 (b) 63 1 (c) 64 1

This question in 0580/11 Oct/Nov 2005

4 (a) Write down a number, other than 1, which is a factor of both 14 and 35. Answer(a) [1] (b) Write down a number which is a multiple of both 14 and 35. Answer(b) [1]

2 marks

Mark scheme: 4 (a) 7 1 (b) Any multiple of 70 (e.g. 490) 1

This question in 0580/11 May/June 2006

1 Write down a multiple of 4 and 14 which is less than 30. For Examiner's Use Answer [1]

1 marks

Mark scheme: Qu. Answers Mark Part Marks 1 28 1

This question in 0580/11 Oct/Nov 2008

11 (a) Find the lowest common multiple of 7 and 9. Answer(a) [1] 8 _ 5 (b) Without using a calculator, work out , leaving your answer as a fraction. 9 7 You must show all your working. Answer(b) [2]

3 marks

Mark scheme: 11 (a) 63 1 ×8 − 5 (b) ( 7 ×9 ) oe M1 their 63 11 63 final answer A1ft ft their (a)

This question in 0580/11 May/June 2009

14 x is an integer between 60 and 90. For Examiner's Write down the value of x when it is Use (a) an odd square number, Answer(a) x = [1] (b) 43, Answer(b) x = [1] (c) a multiple of 29, Answer(c) x = [1] (d) a prime factor of 146. Answer(d) x = [1]

4 marks

Mark scheme: 14 (a) 81 1cao (b) 64 1cao (c) 87 1cao (d) 73 1cao 4 4

This question in 0580/11 May/June 2009

5 For 8 4 8 25 0.3333 Examiner's 2 Use From the list above, write down (a) a prime number, Answer(a) [1] (b) an irrational number. Answer(b) [1]

2 marks

Mark scheme: 8 (a) 25 or 5 1 (b) 8 isw 1

This question in 0580/11 Oct/Nov 2009

5 For 8 4 8 25 0.3333 Examiner's 2 Use From the list above, write down (a) a prime number, Answer(a) [1] (b) an irrational number. Answer(b) [1]

2 marks

Mark scheme: 8 (a) 25 or 5 1 (b) 8 isw 1

This question in 0580/12 Oct/Nov 2009

18 For S Examiner's Use T NOT TO SCALE W 105° 38° P Q R The lines PS and QT intersect at W. PQR is a straight line. Angle SPR = 38° and angle TQR = 105°. Write down the size of the following angles. In each case give a reason for your answer. (a) Angle PQW = because [2] (b) Angle PWQ = because [2] (c) Angle TWS = because [2]

6 marks

Mark scheme: 18 (a) 75 Angle(s) (on a straight) line (=) 1, 1 Or reference to straight line and 180 180 (b) 67 Angle(s) (in a) triangle (sum to) 1ft,1 or exterior angle (of triangle is) sum of interior 180 (opposite) angles (c) 67 (vertically) opposite 1ft,1 IGCSE – October/November 2009 0580 12

This question in 0580/12 Oct/Nov 2009

2 (a) Write down the smallest number which is a multiple of both 8 and 12. Answer(a) [1] (b) Write down all the other multiples of both 8 and 12 which are less than 100. Answer(b) [1]

2 marks

Mark scheme: 2 (a) 24 1 (b) (24), 48, 72, 96 1 SC1 for ans (48), 96 if their (a) is 48.

This question in 0580/12 May/June 2010

3 Write down the factors of 48 which are between 10 and 40. Answer [2]

2 marks

Mark scheme: 3 12, 16, 24 2 W1 for any 2 correct out of their 2 or 3 answers in the range or W1 for all 3 with other factors outside the range.

This question in 0580/13 May/June 2010

16 (a) Write down all the common factors of 30 and 42. For Examiner's Use Answer(a) [2] (b) Write down the smallest number which is a multiple of both 12 and 18. Answer(b) [2]

4 marks

Mark scheme: 16 (a) 1, 2, 3, 6 final answer cao 2 B1 for only 3 factors as final answer or all 4 plus a wrong one as final answer (b) 36 only (as final answer) 2 B1 for any common multiple seen anywhere 1

This question in 0580/11 Oct/Nov 2010

2 Write down all the square numbers which are factors of 100. Answer [2]

2 marks

Mark scheme: 2 1, 4, 25, 100 2 B1 for any two and none incorrect. −1 each incorrect

This question in 0580/13 Oct/Nov 2010

5 14 17 27 17 0.294 17 From the list of numbers, write down (a) a prime number, Answer(a) [1] (b) an irrational number, Answer(b) [1] (c) the smallest number. Answer(c) [1]

3 marks

Mark scheme: 14 (a) 17 1 (b) √17 or 4.12(….) 1 (c) 0.294 1 2

This question in 0580/13 Oct/Nov 2010

2 (a) Write down in figures the number twenty thousand three hundred and seventy six. Answer(a) [1] (b) Write your answer to part (a) correct to the nearest hundred. Answer(b) [1]

2 marks

Mark scheme: 2 (a) 20 376 1 (b) 20 400 1ft Their (a) to nearest 100

This question in 0580/11 May/June 2011

1 One square number between 50 and 100 is also a cube number. For Examiner's Write down this number. Use Answer [1]

1 marks

Mark scheme: Qu. Answers Mark Part Marks 1 64 1cao

This question in 0580/12 May/June 2011

14 (a) Complete the list to show all the factors of 18. 1, 2, , , , 18 [2] (b) Write down the prime factors of 18. Answer(b) [1] (c) Write down all the multiples of 18 between 50 and 100. Answer(c) [1]

4 marks

Mark scheme: 14 (a) (1, 2,) 3, 6, 9, (18) 2 B1 for 2 correct. (b) 2, 3 1 (c) 54, 72, 90 1cao

This question in 0580/12 May/June 2011

1 (a) Write down ten thousand and seventy three in figures. For Examiner's Answer(a) [1] Use (b) Work out 13 + 5 × 4 – 2. Write down all the steps of your working. Answer(b) [1]

2 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 10 073 1 (b) 13 + 20 − 2 = 31 1 Accept 20 seen with answer 31

This question in 0580/13 May/June 2011

9 Using integers between 10 and 30, write down (a) an odd multiple of 7, Answer(a) [1] (b) a cube number. Answer(b) [1]

2 marks

Mark scheme: 9 (a) 21 1 (b) 27 1 AC

This question in 0580/13 May/June 2011

15 (a) Write 67.499 correct to the nearest integer. Answer(a) [1] (b) Write 0.003040506 correct to 3 significant figures. Answer(b) [1] (c) d = 56.4, correct to 1 decimal place. Write down the lower bound of d. Answer(c) [1]

3 marks

Mark scheme: 15 (a) 67 1 (b) 0.00304 1 (c) 56.35 1

This question in 0580/13 May/June 2011

16 (a) Write down a common multiple of 8 and 14. For Examiner's Use Answer(a) [1] (b) (i) Complete the list of factors of 81. 1, , , , 81 [2] (ii) Write down the prime factor of 81. Answer(b)(ii) [1]

4 marks

Mark scheme: 16 (a) Any multiple of 56 1 (b) (i) 3, 9, 27 (in any order) 2 B1 for 2 correct (ii) 3 cao 1

This question in 0580/12 Oct/Nov 2011

18 For O Examiner's Use NOT TO SCALE 75° A B (a) Triangle AOB is isosceles. OA = OB. Calculate angle AOB. Answer(a) Angle AOB = [1] (b) O NOT TO SCALE 75° A B AB is one side of a regular polygon with n sides. (i) Calculate n. Answer(b)(i) n = [2] (ii) Find the size of an interior angle of this polygon. Answer(b)(ii) [1]

4 marks

Mark scheme: 18 (a) 30 1 (b) (i) 12 2ft M1 for 360 ÷ their (a) (Any answer for (a) for method) Only ft for A1 if 360 ÷ their (a) is an integer Other methods allowed if complete (ii) 150 cao 1

This question in 0580/12 Oct/Nov 2011

2 (a) Write, in figures, the number one hundred and five thousand and two. Answer(a) [1] (b) Write your answer to part (a) correct to the nearest ten thousand. Answer(b) [1]

2 marks

Mark scheme: 2 (a) 105 002 1 (b) 110 000 1ft

This question in 0580/13 Oct/Nov 2011

8 210 211 212 213 214 215 216 For Examiner's From the list of numbers, find Use (a) a prime number, Answer(a) [1] (b) a cube number. Answer(b) [1]

2 marks

Mark scheme: 8 (a) 211 cao 1 (b) 216 cao 1

This question in 0580/13 Oct/Nov 2011

11 (a) Write down all the factors of 15. Answer(a) [1] (b) Factorise completely. 15p2 + 24pt Answer(b) [2]

3 marks

Mark scheme: 11 (a) 1, 3, 5, 15 1 (b) 3p(5p + 8t) final answer 2 B1 for answer of 3(5p2 + 8pt) or p(15p + 24t) or SC1 for correct answer seen in working IGCSE – May/June 2012 0580 11

This question in 0580/11 May/June 2012

4 (a) Write down the next prime number after 47. Answer(a) [1] (b) Write down the next square number after 49. Answer(b) [1]

2 marks

Mark scheme: 4 (a) 53 1 (b) 64 1

This question in 0580/13 May/June 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

10 12 13 14 15 16 17 18 From the list of numbers, write down (a) a factor of 36, Answer(a) [1] (b) a multiple of 8, Answer(b) [1] (c) a prime factor of 52. Answer(c) [1]

3 marks

Mark scheme: 10 (a) 12 and/or 18 1 (b) 16 1 (c) 13 1 IGCSE – October/November 2012 0580 12

This question in 0580/12 Oct/Nov 2012

1 For Examiner's Use 0 0.5 1.0 Write down the number the arrow points to on the scale. Answer … [1] _____________________________________________________________________________________

1 marks

Mark scheme: Qu Answers Mark Part Marks 1 0.65 cao 1

This question in 0580/12 May/June 2013

3 Write down the next prime number after 23. Answer … [1] _____________________________________________________________________________________

1 marks

Mark scheme: 3 29 1

This question in 0580/12 May/June 2013

13 The exterior angle of a regular pentagon is 72°. For Examiner's Use (a) Write down the interior angle of a regular pentagon. Answer(a) … [1] (b) The diagram shows three pentagons which fi t together. Uta thinks that three regular pentagons will fi t together in the same way. Explain how you know she is wrong. Answer(b) … … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 13 (a) 108° 1 (b) 3 × 108 ≠ 360 oe 1

This question in 0580/12 May/June 2013

1 Write in fi gures the number one hundred and twenty one thousand and forty two. For Examiner′s Use Answer … [1] _____________________________________________________________________________________

1 marks

Mark scheme: Qu. Part Answers Mark Part Marks 1 121 042 1

This question in 0580/11 Oct/Nov 2013

13 (a) Complete the following statement. For Examiner′s Use The two common factors of 15 and 20 are 1 and … . [1] (b) Write down the next square number that is greater than 169. Answer(b) … [1] (c) Write down a prime number between 90 and 100. Answer(c) … [1] _____________________________________________________________________________________

3 marks

Mark scheme: 13 (a) 5 cao 1 (b) 196 cao 1 (c) 97 cao 1

This question in 0580/12 Oct/Nov 2013

2 Write down the prime numbers between 20 and 30. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 23 29 1

This question in 0580/11 May/June 2014

3 Write down in fi gures (a) three hundred and forty thousand, Answer(a) … [1] (b) the number that is one less than one million. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 3 (a) 340 000 1 (b) 999 999 1 9 5 0 2 45 4%

This question in 0580/12 May/June 2014

8 Write down all the prime numbers that are greater than 30 and less than 40. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 8 31, 37 1 −6 

This question in 0580/13 May/June 2014

10 (a) 1 4 8 12 27 40 Write down the number from this list which is both a cube number and has a factor of 4. Answer(a) … [1] (b) 1258 is a multiple of 34. Write down a different multiple of 34 between 1200 and 1300. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 10 (a) 8 1 (b) 1 1224 or 1292

This question in 0580/13 May/June 2014

12 (a) Write down a 2-digit odd number that is a factor of 182. Answer(a) … [1] (b) Find all the prime factors of 182. Answer(b) … [2] __________________________________________________________________________________________

3 marks

Mark scheme: 12 (a) 91 or 13 1 (b) 2, 7 and 13 2 B1 for correct products of primes method or correct factor tree or ladder or 2 correct and 0 wrong or 3 correct and 1 extra

This question in 0580/11 Oct/Nov 2014

4 (a) Write down two whole numbers that have a product of –15. Answer(a) … and … [1] (b) During one year, the temperature in Ulaanbaatar varied from –33 °C to 27 °C. Find the range of the temperatures during that year. Answer(b) … °C [1] __________________________________________________________________________________________

2 marks

Mark scheme: 4 (a) 5 and −3 or −5 and 3 or 1 1 and −15 or −1 and 15 (b) 60 1 1

This question in 0580/12 Oct/Nov 2014

7 (a) Complete the following list of factors of 30. 1, 2, … , 5, … , 10, … , 30 [1] (b) Write down the prime factors of 30. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 7 (a) 3 6 15 1 (b) 2 3 5 cao 1

This question in 0580/12 Oct/Nov 2014

18 Find (a) the cube root of 729, Answer(a) … [1] (b) the two square roots of 225, Answer(b) … and … [2] (c) a common multiple of 6 and 9, Answer(c) … [1] (d) (–4)2. Answer(d) … [1] __________________________________________________________________________________________

5 marks

Mark scheme: 18 (a) 9 cao 1 (b) 15 and −15 1, 1 (c) Any multiple of 18 1 (d) 16 1

This question in 0580/12 Oct/Nov 2014

17 (a) Paolo thinks of a number. It has two digits. It is a common factor of 36 and 48. Write down Paolo’s number. Answer(a) … [1] (b) Maria thinks of a number. It has two digits. It is a common multiple of 15 and 20. Write down Maria’s number. Answer(b) … [1] (c) Kemar thinks of a number. It is between 1 and 2. It is an irrational number. Write down a number he could be thinking of. Answer(c) … [1] __________________________________________________________________________________________

3 marks

Mark scheme: 17 (a) 12 1 (b) 60 1 (c) Irrational number between 1 and 2 1 ( )

This question in 0580/13 Oct/Nov 2014

1 Write down the number seventy one thousand and seventy two in figures. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: Qu Answers Mark Part marks 1 71 072 1

This question in 0580/12 Feb/March 2015

10 Find the lowest common multiple (LCM) of 24 and 32. Answer … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 10 96 2 B1 for 96k or 25 × 3 or for listing multiples of each up to 96

This question in 0580/12 Feb/March 2015

17 6 8 14 36 47 50 130 From the list of numbers, write down one number for each of the following. (a) An odd number. Answer(a) … [1] (b) A square number. Answer(b) … [1] (c) A factor of 70. Answer(c) … [1] (d) A multiple of 26. Answer(d) … [1] __________________________________________________________________________________________

4 marks

Mark scheme: 17 (a) 47 1 (b) 36 1 (c) 14 1 (d) 130 1

This question in 0580/12 Feb/March 2015

21 (a) Write 30 as a product of its prime factors. Answer(a) … [2] (b) Find the lowest common multiple (LCM) of 30 and 45. Answer(b) … [2] __________________________________________________________________________________________

4 marks

Mark scheme: 21 (a) 2 × 3 × 5 2 B1 for 2, 3, 5 as prime factors (b) 90 2 B1 for 90k or for listing multiples of each up to 90 or 2 × 32 × 5 6

This question in 0580/11 May/June 2015

1 What is the value of the digit 7 in 43 782? Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: Question Answer Mark Part marks 1 700 1

This question in 0580/13 May/June 2015

19 (a) Write down the prime number between 62 and 70. Answer(a) … [1] (b) Write 54 as the product of its prime factors. Answer(b) … [2] (c) Find the highest common factor (HCF) of 54 and 90. Answer(c) … [2] __________________________________________________________________________________________ Question 20 is printed on the next page.

5 marks

Mark scheme: 19 (a) 67 1 (b) 2 × 33 oe 2 B1 for a correct factor tree or 2,3,3,3 identified (c) 18 cao 2 B1 for final answer of 2, 3, 6 or 9

This question in 0580/13 May/June 2015

3 Write down the number in this list that is irrational. 5 1.2 × 10–3 3 7 –36.2 47.35% Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 3 3 1 3 1 3

This question in 0580/12 Oct/Nov 2015

1 Write in figures the number six thousand and fifty four. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: Question Answer Mark Part marks 1 6054 1

This question in 0580/13 Oct/Nov 2015

7 11 12 13 14 15 16 From the list of numbers, write down (a) the factors of 60, Answer(a) … [1] (b) the prime numbers. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 7 (a) 12, 15 1 (b) 11, 13 1

This question in 0580/13 Oct/Nov 2015

12 Write 72 as a product of its prime factors. Answer … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 12 23 × 32 or 2 × 2 × 2 × 3 × 3 2 B1 for 2, 2, 2, 3, 3

This question in 0580/13 Oct/Nov 2015

1 Write down, in figures, seventeen thousand and seventeen. … [1]

1 marks

Mark scheme: 1 17 017 1

This question in 0580/12 Feb/March 2016

12 (a) Write down the value of 170. … [1] (b) Explain why 17 is irrational. … [1]

2 marks

Mark scheme: 12 (a) 1 1 (b) cannot be written as a fraction oe 1 Qu Answer Mark Part marks 5 2 12 4

This question in 0580/12 Feb/March 2016

19 16 19 27 35 36 45 64 For each part of this question, write down one number from the list that is (a) a multiple of 7, … [1] (b) both a square number and a cube number, … [1] (c) a prime number. … [1]

3 marks

Mark scheme: 19 (a) 35 1 (b) 64 1 (c) 19 1

This question in 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

11 Find the lowest common multiple (LCM) of 36 and 48. … [2]

2 marks

Mark scheme: 11 144 2 M1 for finding a correct product of prime factors or correctly listing a minimum of 3 multiples of 36 and 48 or for answer 24 × 32 oe or 144k

This question in 0580/11 May/June 2016

1 Write in figures the number nine million eighty two thousand five hundred and seven. … [1]

1 marks

Mark scheme: Question Answer Mark Part marks 1 9 082 507 1

This question in 0580/13 May/June 2016

1 Write 30 000 000 in words. … [1]

1 marks

Mark scheme: Question Answer Mark Part marks 1 Thirty million[s] 1

This question in 0580/11 Oct/Nov 2016

8 (a) Write down a common multiple of 8 and 12. … [1] (b) Write down a prime number between 50 and 60. … [1]

2 marks

Mark scheme: 8 (a) 24 or 48 or 72 or … 1 (b) 53 or 59 1

This question in 0580/12 Oct/Nov 2016

1 Write in figures the number five thousand and thirty four. … [1]

1 marks

Mark scheme: Question Answer Mark Part marks 1 5 034 1

This question in 0580/13 Oct/Nov 2016

10 Find the highest common factor (HCF) of 36 and 63. … [2]

2 marks

Mark scheme: 10 9 2 M1 for 2 × 2 × 3 × 3 and 7 × 3 × 3 seen or final answer 3

This question in 0580/12 Feb/March 2017

1 Write, in figures, the number seventy thousand and twenty. … [1]

1 marks

Mark scheme: Question Answer Marks Part marks 1 70 020 cao 1

This question in 0580/11 May/June 2017

6 31 33 35 37 39 From the list, write down a prime number. … [1]

1 marks

Mark scheme: 6 31 or 37 1

This question in 0580/11 May/June 2017

9 Find the highest common factor (HCF) of 126 and 150. … [2]

2 marks

Mark scheme: 9 6 2 B1 for answer 2 or 3 or 2 × 3 or M1 for prime factors of 126 and 150 seen

This question in 0580/11 May/June 2017

15 (a) Write down a prime number between 80 and 90. … [1] (b) Find the lowest common multiple (LCM) of 21 and 30. … [2]

3 marks

Mark scheme: 15(a) 83 or 89 1 15(b) 210 2 M1 for 210 × k or for 3,7 and 2,3,5 seen or for a list of at least 4 correct multiples of both 21 and 30 or 2 × 3 × 5 × 7 as answer

This question in 0580/13 May/June 2017

113 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number, … [1] (b) the smallest number, … [1] (c) a natural number. … [1]

3 marks

Mark scheme: 13(a) 343 1 13(b) –11 1 13(c) 343 1

This question in 0580/11 Oct/Nov 2017

1 Write, in figures, fourteen thousand and twenty seven. … [1]

1 marks

Mark scheme: Question Answer Marks Partial marks 1 14 027 1

This question in 0580/12 Oct/Nov 2017

8 (a) 1 and 12 are factors of 12. Write down all the other factors of 12. … [1] (b) Write down the multiples of 9 between 20 and 40. … [1]

2 marks

Mark scheme: 8(a) 2, 3, 4, 6 1 8(b) 27, 36 cao 1

This question in 0580/12 Oct/Nov 2017

1120 (a) Write as a mixed number. 3 … [1] 1 5 (b) Without using a calculator, work out + . 4 12 Show all the steps of your working and give your answer as a fraction in its lowest terms. … [2]

3 marks

Mark scheme: 20(a) 2 1 3 cao 3 20(b) 3 5 M1 For correct method to find common [and ] oe denominator 12 12 12 20 e.g. and 48 48 2 A1 cao 3

This question in 0580/12 Oct/Nov 2017

5 (a) 0 0.1 0.2 Write down the number the arrow is pointing to on this scale. … [1] (b) Write these numbers in order of size, starting with the smallest. 0.42 0.06 0.5 0.078 … 1 … 1 … 1 … [1] smallest

2 marks

Mark scheme: 5(a) 0.16 1 5(b) 0.06 0.078 0.42 0.5 1

This question in 0580/13 Oct/Nov 2017

13 Work out the lowest common multiple (LCM) of 18 and 21. … [2]

2 marks

Mark scheme: 13 126 2 M1 for at least 3 multiples of 18 and 21 or 3 × 6 × 7 as final answer or 3 [×] 6 and 3 [×] 7 in working or B1 for final answer 126k, integer k >1

This question in 0580/11 May/June 2018

-2 419 r 3 3 33.3% 3 .03 3999 7 From this list, write down the two numbers that are irrational. … , … [2]

2 marks

Mark scheme: 19 π 3 2 B1 for each

This question in 0580/11 May/June 2018

5 22 17 25 41 39 4 Work out the difference between the two prime numbers in the list above. … [2]

2 marks

Mark scheme: 5 24 2 B1 for 17 or 41 identified

This question in 0580/12 May/June 2018

8 Complete the list of factors of 36. 1, 2, … , 36 [2]

2 marks

Mark scheme: 8 3, 4, 6, 9, 12, 18 2 B1 for list with one or two errors or omissions or for a complete list of products

This question in 0580/13 May/June 2018

21 (a) Change 568 000 cm into metres. … m [1] (b) The scale drawing shows the positions of two towns, A and B. The scale is 1 centimetre represents 5 kilometres. North B North A Scale : 1 cm to 5 km (i) Measure the bearing of town B from town A. … [1] (ii) Find the actual distance, in kilometres, from town A to town B. … km [2]

4 marks

Mark scheme: 21(a) 5680 1 21(b)(i) [0]68 1 21(b)(ii) 46 2 B1 for 9.2 [cm]

This question in 0580/13 May/June 2018

17 (a) Write 56 as a product of its prime factors. … [2] (b) Find the lowest common multiple (LCM) of 56 and 42. … [2]

4 marks

Mark scheme: 17(a) 23 × 7 or 2 × 2 × 2 × 7 2 B1 for identifying 2 and 7 as the only prime factors 17(b) 168 2 B1 for 168k or 2 × 2 × 2 × 3 × 7 oe or for listing multiples of each up to 168

This question in 0580/12 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

14 Write down all the factors of 30. … [2]

2 marks

Mark scheme: 14 1, 2, 3, 5, 6, 10, 15, 30 2 B1 for 4 or more correct factors and none incorrect or 8 correct factors and only 1 extra or 1 × 30, 2 × 15, 3 × 10 and 5 × 6

This question in 0580/13 Oct/Nov 2018

10 Write down the six factors of 12. … , … , … , … , … , … [2]

2 marks

Mark scheme: 10 1, 2, 3, 4, 6, 12 2 B1 for 4 correct factors and no errors or 5 factors and 1 error

This question in 0580/12 Feb/March 2019

14 27 28 29 30 31 32 33 From the list of numbers, write down (a) a multiple of 7, … [1] (b) a cube number, … [1] (c) a prime number. … [1]

3 marks

Mark scheme: 14(a) 28 1 14(b) 27 1 14(c) 29 or 31 1

This question in 0580/11 May/June 2019

20 (a) Change 3670 centimetres to metres. … m [1] (b) The scale drawing shows the positions of town S and town T. The scale is 1 centimetre represents 15 kilometres. North S North T Scale: 1 cm to 15 km (i) Find the actual distance between these two towns. … km [2] (ii) Measure the bearing of town T from town S. … [1]

4 marks

Mark scheme: 20(a) 36.7[0] 1 20(b)(i) 117 2 B1 for 7.8 20(b)(ii) 137 1

This question in 0580/11 May/June 2019

1 Write 30 682 in words. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 Thirty thousand six hundred [and] 1 eighty-two

This question in 0580/12 May/June 2019

11 Find the highest common factor (HCF) of 90 and 48. … [2]

2 marks

Mark scheme: 11 6 2 M1 for 2 × 32 × 5 or 24 × 3 or for 2 × 3 as final answer or B1 for 2 or 3 as final answer

This question in 0580/12 May/June 2019

17 (a) Show that there is not a square number between 50 and 60. [2] (b) Write down a prime number between 50 and 60. … [1]

3 marks

Mark scheme: 17(a) 7 2 = 49 and 8 2 = 64 2 B1 for 7 2 = 49 or 8 2 = 64 or 49 and 64 or √49 = 7 and √64 = 8 or values of at least √50 (or √51) and√59 (or √60) without further comment 17(b) 53 or 59 1

This question in 0580/12 May/June 2019

10 Here is a list of numbers. 21 23 13 31 121 51 0.7 From this list, write down (a) a prime number, … [1] (b) an irrational number. … [1]

2 marks

Mark scheme: 10(a) 31 or 121 1 10(b) 13 1

This question in 0580/13 May/June 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

3 Write the number forty thousand three hundred in figures. … [1]

1 marks

Mark scheme: 3 40 300 1

This question in 0580/13 Oct/Nov 2019

7 Here is a list of numbers. 87 77 57 47 27 From this list, write down (a) a cube number, … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 7(a) 27 1 7(b) 47 1

This question in 0580/13 Oct/Nov 2019

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

1 Write down the value of the 7 in the number 570 296. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 70 000 1

This question in 0580/11 May/June 2020

8 Find the highest odd number that is a factor of 60 and a factor of 90. … [1]

1 marks

Mark scheme: 8 15 1

This question in 0580/11 May/June 2020

1 (a) Write in figures the number fifty‑three thousand and thirty‑five. … [1] (b) Write 8379 correct to the nearest hundred. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 53 035 1 1(b) 8400 1

This question in 0580/12 May/June 2020

3 Write down the reciprocal of 10. … [1]

1 marks

Mark scheme: 3 1 1 10

This question in 0580/12 May/June 2020

11 Write down (a) a square number greater than 10, … [1] (b) an irrational number. … [1]

2 marks

Mark scheme: 11(a) Any square number greater than 10 1 11(b) Any irrational number 1

This question in 0580/12 May/June 2020

22 (a) Write down all the factors of 28. … [2] (b) Write 54 as a product of its prime factors. … [2] (c) Find the lowest common multiple (LCM) of 48 and 60. … [2]

6 marks

Mark scheme: 22(a) 1 2 4 7 14 28 2 B1 for 4 or 5 correct with no extras or 6 correct with one extra 22(b) 2 × 3 × 3 × 3 or 2 × 33 2 M1 for 2, 3, 3, 3 or correct factor tree 22(c) 240 2 M1 for 48 = 2, 2, 2, 2, 3 or 60 = 2, 2, 3, 5 or list of multiples of both 48 and 60, at least 3 of each or B1 for 240k

This question in 0580/12 May/June 2020

1 Write six hundred and seven thousand and twenty-one in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 607 021 1

This question in 0580/13 May/June 2020

9 32 33 34 35 36 37 38 39 From this list of numbers, write down (a) a multiple of 8, … [1] (b) a square number, … [1] (c) a prime number. … [1]

3 marks

Mark scheme: 9(a) 32 1 9(b) 36 1 9(c) 37 1

This question in 0580/13 May/June 2020

13 (a) Write 18 as the product of its prime factors. … [2] (b) At a bus stop • a red bus arrives every 18 minutes and • a blue bus arrives every 24 minutes. At 10 47 a red bus and a blue bus arrive. Find the next time when a red bus and a blue bus arrive together. … [3]

5 marks

Mark scheme: 13(a) 2 × 32 or 2 × 3 × 3 2 B1 for 2, 3, 3 may be seen in a factor tree or table 13(b) 11 59 3 B2 for 23 × 32 soi by 72 or 1[h] 12[min] or correct times of both buses to 11 59 or B1 for correct times of one bus to 11 59 or M1 for 23 × 3 or for 18, 36, 54 [...] and 24, 48 [...] or listing times of next 4 red buses and next 3 blue buses, follow through max 1 error or omission in each list

This question in 0580/11 Oct/Nov 2020

1 Write two hundred thousand and seventeen in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 200 017 1

This question in 0580/12 Oct/Nov 2020

3 (a) Write 97.4236 correct to 3 decimal places. … [1] (b) Write down the reciprocal of 2. … [1]

2 marks

Mark scheme: 3(a) 97.424 1 3(b) 1 1 or 0.5 2

This question in 0580/13 Oct/Nov 2020

4 Write down a multiple of 9 between 100 and 110. … [1]

1 marks

Mark scheme: 4 108 1

This question in 0580/12 Feb/March 2021

15 Find the lowest common multiple (LCM) of 18 and 21. … [2]

2 marks

Mark scheme: 15 126 2 B1 for 126k as final answer k ≠ 1 or M1 for [18 = ] 2 × 3 × 3 and [ 21 = ] 3 × 7 or 2 correct factor trees or 18, 36, 54, … and 21, 42, 63,.. or 2 × 3 × 3 × 7 or better

This question in 0580/12 Feb/March 2021

19 Write down an irrational number, n, where 31 1 n 1 32 . n = … [1]

1 marks

Mark scheme: 19 An irrational number satisfying inequality 1

This question in 0580/11 May/June 2021

2 Write down all the factors of 42. … [2]

2 marks

Mark scheme: 2 1, 2, 3, 6, 7, 14, 21, 42 2 B1 for 6 correct, no errors or 7 correct and 1 error or all seen but 1 or 2 extra numbers or 1 × 42, 2 × 21, 3 × 14, 6 × 7

This question in 0580/12 May/June 2021

13 (a) Complete these statements. The reciprocal of 0.2 is … A prime number between 90 and 100 is … [2] (b) 7 0.6 7 8 9 5 From this list, write down an irrational number. … [1]

3 marks

Mark scheme: 13(a) 5 2 B1 for each 97 13(b) 7 1

This question in 0580/12 May/June 2021

23 Work out the lowest common multiple (LCM) of 24 and 54. … [2] Questions 24 and 25 are printed on the next page.

2 marks

Mark scheme: 23 216 2 B1 for 216k as final answer k ≠ 1 or M1 for [24=] 2 × 2 × 2 × 3 and [54=] 2 × 3 × 3 ×3 or 2 correct factor trees or correct tables or a list of multiples of both 24 and 54 with at least 3 of each or 2 × 2 × 2 × 3 × 3 × 3

This question in 0580/12 May/June 2021

9 12 18 29 49 91 125 From the list of numbers, write down (a) a cube number, … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 9(a) 125 1 9(b) 29 1

This question in 0580/13 May/June 2021

1 (a) Write the number four hundred thousand and four hundred in figures. … [1] (b) Write 60 287 correct to the nearest ten. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 400 400 1 1(b) 60 290 1

This question in 0580/12 Oct/Nov 2021

5 Write down the reciprocal of 20. … [1]

1 marks

Mark scheme: 5 1 1 or [0].05 20

This question in 0580/12 Oct/Nov 2021

11 11 13 15 17 19 From this list, write down the number that is both a prime number and a factor of 195. … [1]

1 marks

Mark scheme: 11 13 1

This question in 0580/13 Oct/Nov 2021

1 Write the number sixteen thousand and thirty-seven in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 16 037 1

This question in 0580/12 Feb/March 2022

2 Write down the six factors of 28. … , … , … , … , … , … [2]

2 marks

Mark scheme: 2 1, 2, 4, 7, 14, 28 2 B1 for 5 correct and one error or omission

This question in 0580/12 Feb/March 2022

5 Write down the reciprocal of 5. 6 … [1]

1 marks

Mark scheme: 5 1.2 oe 1

This question in 0580/12 Feb/March 2022

24 Udita thinks of two whole numbers. Both numbers are greater than 6. The lowest common multiple (LCM) of the two numbers is 90. The highest common factor (HCF) of the two numbers is 6. Find the two numbers. … and … [2]

2 marks

Mark scheme: 24 18 30 2 M1 for 2,3,3,5 or B1 for recognising both numbers are multiples of 6 and greater than 6 or for giving two numbers greater than 6 and ⩽ 90, satisfying either LCM is 90 or HCF is 6

This question in 0580/12 Feb/March 2022

21 Write down an irrational number with a value between 10 and 20. … [1]

1 marks

Mark scheme: 21 An irrational number between 10 and 20 1

This question in 0580/11 May/June 2022

1 Write the number six hundred and seven thousand five hundred and thirty-two in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 607 532 1

This question in 0580/12 May/June 2022

2 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a square number, … [1] (b) a multiple of 13, … [1] (c) a factor of 186, … [1] (d) the prime numbers. … [2]

5 marks

Mark scheme: 2(a) 64 1 2(b) 65 1 2(c) 62 1 2(d) 61 67 cao 2 B1 for each or for two correct and one extra

This question in 0580/12 May/June 2022

1 1 316 33 % r 343 1 3 .56 # 10 -7 3 13 Two of the numbers in this list are irrational. Put a ring around each of these irrational numbers. [1]

1 marks

Mark scheme: 16 π 3 cao 1

This question in 0580/12 May/June 2022

21 Find the lowest common multiple (LCM) of 24 and 28. … [2]

2 marks

Mark scheme: 21 168 2 B1 for 168k as final answer or M1 for [24 =] 2 × 2 × 2 × 3 and [28 =] 2 × 2 × 7 or 2 correct factor trees or tables or a list of multiples of both 24 and 28 with at least 3 of each or 2 × 2 × 2 × 3 × 7

This question in 0580/12 May/June 2022

1 Write the number one hundred and three thousand eight hundred and six in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 103 806 1

This question in 0580/13 May/June 2022

18 Find the lowest common multiple (LCM) of 32 and 40. … [2]

2 marks

Mark scheme: 18 160 2 B1 for 160k as final answer or M1 for [32=] 2 × 2 × 2 × 2 × 2 and [40=] 2 × 2 × 2 × 5 or two correct factor trees or correct tables or a list of multiples of both 32 and 40 with at least 3 of each or 2 × 2 × 2 × 2 × 2 × 5

This question in 0580/13 May/June 2022

1 Write the number two million eight hundred and forty thousand three hundred and twenty-seven in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 2 840 327 1

This question in 0580/11 Oct/Nov 2022

5 Write down a common multiple of 18 and 24. … [1]

1 marks

Mark scheme: 5 Any multiple of 72 1

This question in 0580/11 Oct/Nov 2022

1 (a) Write the number eighty thousand and eighty in figures. … [1] (b) Write down the value of the 4 in the number 643 719. … [1]

2 marks

Mark scheme: Question Answer Mark Partial Marks 1(a) 80 080 1 1(b) 40 000 1

This question in 0580/12 Oct/Nov 2022

13 x is an integer where x 2- 4 and x G 2 . Write down all the possible values of x. … [2]

2 marks

Mark scheme: 13 –3, –2, –1, 0, 1, 2 2 B1 for 5 correct and none incorrect or 6 correct and one extra

This question in 0580/13 Oct/Nov 2022

1 Write the number twenty-five million in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 25 000 000 1

This question in 0580/12 Feb/March 2023

3 -7 12 -3 2 8 -6 15 -4 -8 From the list of numbers, find (a) all the numbers which are less than -5 … [1] (b) the product of the largest number and the smallest number. … [1]

2 marks

Mark scheme: 3(a) −6, −7, −8 1 3(b) −120 1

This question in 0580/12 Feb/March 2023

7 12 15 27 29 91 93 From the list of numbers, write down (a) a cube number … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 7(a) 27 1 7(b) 29 1

This question in 0580/12 Feb/March 2023

1 (a) Write down all the factors of 18. … [2] (b) Write down the reciprocal of 8. … [1]

3 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 1, 2, 3, 6, 9, 18 2 B1 for 6 correct and one extra or for at least four correct and no extras or for all the correct factor pairs 1(b) 1 1 or [0].125 8

This question in 0580/12 May/June 2023

7 There are two prime numbers in this list. 27 47 57 61 75 93 Work out the sum of these two prime numbers. … [2]

2 marks

Mark scheme: 7 108 2 B1 for 47 or 61 identified

This question in 0580/12 May/June 2023

16 x is an integer where x H- 3 and x 1 3 . Write down all the possible values of x. … [2]

2 marks

Mark scheme: 16 −3, −2, −1, 0, 1, 2 2 B1 for 6 correct and one extra or for 5 correct and none incorrect

This question in 0580/12 May/June 2023

10 Olga thinks that 87 is a prime number. Is Olga correct? Give a reason for your answer. … because … [1]

1 marks

Mark scheme: 10 No 1 87 divides by 3 oe

This question in 0580/13 May/June 2023

17 Find the highest common factor (HCF) of 32 and 120. … [2]

2 marks

Mark scheme: 17 8 2 B1 for final answer 2 × 2 × 2 or 23 or 2 or 4 or M1 for [32=] 2 × 2 × 2 × 2 × 2 and [120 =] 2 × 2 × 2 × 3 × 5 or 2 correct factor trees or tables

This question in 0580/13 May/June 2023

12 (a) Explain why 111 is not a prime number. … [1] (b) Find a prime number between 110 and 120. … [1]

2 marks

Mark scheme: 12(a) Multiple of 3 or multiple of 37 1 12(b) 113 1

This question in 0580/12 Oct/Nov 2023

2 Write down (a) all the factors of 32 … [2] 1 (b) the reciprocal of 8 … [1] (c) the value of the 7 in the number 473 285. … [1]

4 marks

Mark scheme: 2(a) 1, 2, 4, 8, 16, 32 2 B1 for 4 or 5 correct and no extras or 6 correct and one extra 2(b) 8 1 2(c) 70 000 1

This question in 0580/13 Oct/Nov 2023

4 61 63 64 66 68 69 From this list, write down (a) a cube number … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 4(a) 64 1 4(b) 61 1

This question in 0580/13 Oct/Nov 2023

7 In triangle LMN, LN = 7.5 cm and MN = 8 cm. (a) Using a ruler and compasses only, construct triangle LMN. Leave in your construction arcs. The line LM has been drawn for you. M L [2] (b) Write down the mathematical name for this type of triangle. … [1]

3 marks

Mark scheme: 7(a) Correct construction 2 B1 for accurate triangle with incorrect or no arcs or for 2 correct arcs If 0 scored, SC1 for accurate triangle with arcs but lines interchanged 7(b) Scalene 1

This question in 0580/13 Oct/Nov 2023

22 Find the highest common factor (HCF) of 48 and 80. … [2]

2 marks

Mark scheme: 22 16 2 B1 for answer 2, 4 or 8 or M1 for 2  2  2  2 oe as final answer or [48 =] 2  2  2  2  3 and [80 =] 2  2  2  2  5 or 2 correct factor trees or tables

This question in 0580/13 Oct/Nov 2023

1 Write the number thirty thousand and fifty in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 30 050 1

This question in 0580/12 Feb/March 2024

6 (a) 34 55 76 83 111 121 From this list of numbers, write down all the multiples of 11. … [1] (b) Zaid has a non-calculator method for working out if a number is a multiple of 11. He shows his method for the number 919 281. Subtract and add alternately the digits in the number. 9 - 1 + 9 - 2 + 8 - 1 = 22 # 11 Check if the answer is a multiple of 11. 22 = 2 As 22 is a multiple of 11 then 919 281 is a multiple of 11. Show that the number 918 271 937 is a multiple of 11 by using Zaid’s method. [2]

3 marks

Mark scheme: 6(a) 55 121 1 6(b) 9 −+1 8 −+2 7 −+1 9 M1 −+3 7 33 = 3 11 A1

This question in 0580/12 Feb/March 2024

25 The highest common factor (HCF) of two numbers is 6. The lowest common multiple (LCM) of the two numbers is 90. Both numbers are greater than 6. Work out the two numbers. … and … [2]

2 marks

Mark scheme: 25 18 30 2 B1 for 2 numbers with HCF 6 or LCM 90 or for 2 numbers greater than 6 with product 540 OR M1 for some multiples of 6 including 18 and 30 or for some factors of 90 including 18 and 30 or for a tree diagram/table showing prime factors of 540 or 6 and 90

This question in 0580/12 Feb/March 2024

18 Find the greatest odd number that is a factor of 140 and a factor of 210. … [2]

2 marks

Mark scheme: 18 35 2 B1 for answer 5 or 7 or 70 or M1 for 2 × 2 × 5 × 7 and 2 × 3 × 5 × 7 or two correct factor trees or tables or 5  7 k seen

This question in 0580/11 May/June 2024

1 Write the number 31 072 000 in words. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 Thirty-one million[s] [and] 1 seventy-two thousand[s]

This question in 0580/12 May/June 2024

3 Find the value of the reciprocal of 0.4 . … [1]

1 marks

Mark scheme: 3 2.5 oe 1

This question in 0580/12 May/June 2024

1 Write the number two million two thousand and two in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 2 002 002 1

This question in 0580/13 May/June 2024

1 Write the number half a million in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 500 000 1

This question in 0580/12 Oct/Nov 2024

10 1 0.25 3.142 3 - 3 24 - .04 1.2 - 4 Complete each statement with a number from the list. … is a natural number. … is an irrational number. … is the reciprocal of 4. [3]

3 marks

Mark scheme: 10 24 3 B1 for each 3 0.25

This question in 0580/12 Oct/Nov 2024

8 61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 8(a) 64 1 8(b) 61 or 67 1

This question in 0580/13 Oct/Nov 2024

1 Write the number twenty thousand in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 20 000 1

This question in 0580/12 Feb/March 2025

3 Write down all the factors of 18. … [2]

2 marks

Mark scheme: 3 1 2 3 6 9 18 2 B1 for 4 correct and no extras or for 6 correct and one incorrect

This question in 0580/12 Feb/March 2025

6 Find the value of the reciprocal of 0.25 . … [2]

2 marks

Mark scheme: 6 4 2 1 M1 for oe 0.25

This question in 0580/12 Feb/March 2025

1 Write the number sixteen thousand and sixty-two in figures. … [1]

1 marks

Mark scheme: Question Answer Marks Guidance 1 16 062 1

This question in 0580/12 May/June 2025

7 (a) Find the value of the reciprocal of 1. 3 … [1] (b) Write 2 -3 as a fraction. … [1]

2 marks

Mark scheme: 7(a) 3 1 7(b) 1 1 cao 8

This question in 0580/12 May/June 2025

18 Find the highest common factor (HCF) of 66 and 110. … [2]

2 marks

Mark scheme: 18 22 2 B1 for answer 2 or 11 or M1 for 2  11 as final answer or 66 = 2 3 11 and 110 = 2 5 11 or for 2 correct tables or factor trees

This question in 0580/12 May/June 2025

19 (a) P is a prime number. Write down the value of P that satisfies the inequality 13 1 P 1 19 . P = … [1] (b) Write down the inequality represented on the number line. x -3 -2 -1 0 1 2 3 4 5 6 7 8 … [2]

3 marks

Mark scheme: 19(a) 17 1 19(b) −2 x  7 final answer 2 B1 for x −2 or x  7

This question in 0580/12 May/June 2025

1 (a) Write the number 70 000 000 in words. … [1] (b) (i) Write down the value of the 5 in the number 0.25 . Give your answer as a fraction. … [1] (ii) Find the value of the reciprocal of 0.25 . … [2]

4 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) Seventy million(s) cao 1 1(b)(i) 5 1 1 or 100 20 1(b)(ii) 4 2 1 4 M1 for oe or 0.25 1

This question in 0580/13 May/June 2025

20 Find the highest common factor (HCF) of 36 and 54. … [2]

2 marks

Mark scheme: 20 18 2 B1 for answer 2 or 3 or 6 or 9 or M1 for 2  3  3 oe as final answer or 36 = 2  2  3  3 and 54 = 2  3  3  3 or 2 correct factor trees or tables

This question in 0580/13 May/June 2025

1 (a) Write the number four hundred and sixty thousand and five in figures. … [1] (b) Write 52 149 correct to the nearest hundred. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 460 005 1 1(b) 52 100 cao 1

This question in 0580/11 Oct/Nov 2025

4 (a) Write down all the factors of 24. … [2] 3 (b) Write down the reciprocal of . 7 … [1]

3 marks

Mark scheme: 4(a) 1 2 3 4 6 8 12 24 2 B1 for 6 correct and no extras or 8 correct and one extra 4(b) 7 1 oe 3

This question in 0580/11 Oct/Nov 2025

17 (a) Write down a prime number between 20 and 30. … [1] 2 (b) Simplify ` 9j . … [1]

2 marks

Mark scheme: 17(a) 23 or 29 1 17(b) 9 cao 1

This question in 0580/11 Oct/Nov 2025

1 Write down the value of the 3 in the number 23 679. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 3000 1

This question in 0580/12 Oct/Nov 2025

3 (a) Write 17 469 correct to the nearest ten. … [1] (b) Write 5.073 correct to 1 decimal place. … [1]

2 marks

Mark scheme: 3(a) 17 470 cao 1 3(b) 5.1 cao 1

This question in 0580/12 Oct/Nov 2025

8 A number, n, is a factor of 144 and a multiple of 9. Find all the values for n. … [3]

3 marks

Mark scheme: 8 9, 18, 36, 72, 144 3 B2 for 3 correct and no extras or 5 correct and 1 extra as the answer or B1 for two correct and no extras or M1 factors of 144 up to 72 or multiples of 9 up to 72

This question in 0580/12 Oct/Nov 2025

2 (a) Write the number 83 042 in words. … [1] (b) Write down the value of the 7 in the number 346 709. … [1] (c) Write 8453 correct to (i) the nearest hundred … [1] (ii) the nearest ten. … [1]

4 marks

Mark scheme: 2(a) Eighty-three thousand [and] forty-two 1 2(b) 700 1 2(c)(i) 8500 1 2(c)(ii) 8450 1

This question in 0580/13 Oct/Nov 2025