Types of number — Paper 2 · IGCSE Mathematics - International 0607

6 Find the lowest common multiple (LCM) of 20 and 24. … [2]

2 marks

Mark scheme: 6 120 2 M1 for 120 ,n n > 1 or M1 for 40, 60, 80 and 24, 48, 72 seen or M1 for 2 × 2 × 5 and 2 × 2 × 2 × 3 soi

This question in 0607/21 May/June 2017

3 Find the highest common factor (HCF) of 30, 48 and 66. … [1]

1 marks

Mark scheme: 3 6 1

This question in 0607/22 Oct/Nov 2017

4 Write down a prime number between 60 and 70. … [1]

1 marks

Mark scheme: 4 61 or 67 1

This question in 0607/22 May/June 2018

6 Write 36 as a product of prime factors. … [2]

2 marks

Mark scheme: 6 2 × 2 × 3 × 3 or 2 2 × 32 2 M1 for 2 and 3 as factors

This question in 0607/22 May/June 2018

6 Find the lowest common multiple (LCM) of 12 and 15. … [2]

2 marks

Mark scheme: 6 60 2 M1 for 60n or 3 correct multiples of each of 12 and 15 seen or 12 × 15 ÷ 3 or 2 × 2 × 3 × 5

This question in 0607/21 Oct/Nov 2018

2 Here is a list of numbers. 21 23 29 33 39 63 91 92 From the list, write down (a) a factor of 46, … [1] (b) a prime number. … [1]

2 marks

Mark scheme: 2(a) 23 1 2(b) 23 or 29 1 Allow both but no extras

This question in 0607/21 Oct/Nov 2019

1 8 27 49 51 53 55 99 From this list write down the square number. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 49 1

This question in 0607/22 Oct/Nov 2019

2 (a) Write down a prime number between 80 and 90. … [1] (b) Write down a triangle number between 30 and 50. … [1]

2 marks

Mark scheme: 2(a) 83 or 89 1 2(b) 36 or 45 1

This question in 0607/23 Oct/Nov 2019

1 31 37 39 49 51 53 77 87 From this list write down all the prime numbers. … [2]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1 31 37 53 2 B1 for a correct prime

This question in 0607/22 May/June 2020

3 Find the highest common factor (HCF) of 84 and 72. … [1]

1 marks

Mark scheme: 3 12 1

This question in 0607/22 Feb/March 2021

2 90 91 92 93 94 95 96 97 98 99 From this list, write down (a) a prime number, … [1] (b) a common multiple of 4 and 6. … [1]

2 marks

Mark scheme: 2(a) 97 1 2(b) 96 1

This question in 0607/21 Oct/Nov 2021

2 91 93 95 97 99 From this list write down a prime number. … [1]

1 marks

Mark scheme: 2 97 1

This question in 0607/23 Oct/Nov 2021

10 Write 48 as a product of its prime factors. … [2]

2 marks

Mark scheme: 10 2 4  3 or 2 2 2 2 3 2 M1 for 2k and 3 seen

This question in 0607/23 May/June 2023

8 Work out the highest common factor (HCF) of 60 and 42. … [1]

1 marks

Mark scheme: 8 6 1

This question in 0607/22 Oct/Nov 2023

1 Write 0.030 149 7 (a) correct to 3 decimal places … [1] (b) correct to 4 significant figures. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 0.030 1 1(b) 0.03015 1

This question in 0607/23 Oct/Nov 2023

9 (a) Find the highest common factor (HCF) of 72 and 120. … [1] (b) Find the lowest common multiple (LCM) of 54 and 81. … [2]

3 marks

Mark scheme: 9(a) 24 1 9(b) 162 2 B1for 162k or M1 for 2 × 3 × 3 × 3 and 3 × 3 × 3 × 3

This question in 0607/22 Feb/March 2024

6 Find the lowest common multiple (LCM) of 24 and 60. … [2]

2 marks

Mark scheme: 6 120 2 M1 for 24  60 or 120k or 2 3 3 5 or 24  2 2 2 3 and 60  2 2 3 5 or 24  12  2 and 60  12  5 or correct factor trees for both or 2 lists of multiples up to at least 120

This question in 0607/21 May/June 2024

1 Complete the statement. The common factors of 24 and 45 are 1 and … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 3 1

This question in 0607/22 Oct/Nov 2024

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

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 5 1

This question in 0607/22 Feb/March 2025

7 Write 84 as a product of its prime factors. … [2]

2 marks

Mark scheme: 7 2 2 3 7 oe 2 B1 for 2, 3, 7 only as list of factors not multiplied or M1 for 2 correct stages in factor tree or factor ladder

This question in 0607/22 Feb/March 2025

2 This is a list of numbers. 20 21 22 23 24 25 26 27 From the list write down (a) the square number … [1] (b) the prime number … [1] (c) the triangle number. … [1]

3 marks

Mark scheme: 2(a) 25 1 2(b) 23 1 2(c) 21 1

This question in 0607/23 May/June 2025