Integers: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 1.1 Integers, 2019–2025, with its mark scheme and examiner’s report.

All 111 questions on Integers, as a list

June 2025 (R), Paper 1 Foundation, Q1 (5 marks): The table shows the land area, in km2, of each of six US states. State Land area (km2) Arizona 294 207 Florida 138 887 Montana 376 962 New Mexico 314 161 Oregon
June 2025 (R), Paper 2 Foundation, Q1 (4 marks): (a) Write these numbers in order of size. Start with the smallest number. 83 148 46 229 99 (b) Write these decimals in order of size. Start with the smallest de
June 2025, Paper 1 Foundation, Q1 (4 marks): Write a number in each box so that each calculation is correct. (a) 475 + =1200 (b) 180× = 5760 Here are four discs. There is a number on each disc. 7 4 8 5 Usi
June 2025, Paper 2 Foundation, Q1 (5 marks): Cho finds this information about the areas, in square kilometres, of some South American countries. Country Area (square kilometres) Paraguay 406 752 Suriname 1
June 2025, Paper 2 Foundation, Q4 (2 marks): The diagram shows a number line. 74 75 76 (a) Write down the number marked with the arrow. (b) On the number line below, mark with an arrow (↑) the number 265 2
June 2025, Paper 2 Foundation, Q10 (3 marks): Lui is asked to work out the value of 30 – 4x when x = –5 Here is his working and his answer. 30 – 4x = 30 – 4 × –5 = 30 – 20 = 10 Lui’s answer is wrong. (a) Ex
November 2024, Paper 1 Foundation, Q1 (5 marks): The table gives the lengths, in metres, of five road tunnels. Name of tunnel Length of tunnel (metres) Arlberg 13 972 Hsuehshan 12 940 Laerdal 24 512 St Gotthar
November 2024, Paper 1 Foundation, Q4 (3 marks): The table shows information about the temperatures at different heights above sea level. Height above sea level Temperature (metres) (°C) 14 000 −60 12 000 −58
November 2024, Paper 2 Foundation, Q1 (5 marks): (a) Write the number 7823 correct to the nearest hundred. (b) Write a number in each box so that each calculation is correct. (i) 0 4. × = 4000 (ii) 3600 ÷ = 3
June 2024 (R), Paper 1 Foundation, Q1 (4 marks): 6 15 19 28 38 44 48 From the numbers in the box, write down (a) an odd number (b) a multiple of 12 (c) a prime number (d) a factor of 24
June 2024 (R), Paper 1 Foundation, Q3 (4 marks): (a) Write a number in the box to make the statement correct. 5073 ÷ = 19 (b) Write a number in the box to make the statement correct. The cube root of is 14 Her
June 2024 (R), Paper 1 Foundation, Q5 (4 marks): The table gives the average January temperatures for five cities. City Temperature Yinchuan ‒8°C Mumbai 24°C Tallinn ‒3°C Valencia 12°C Saskatoon ‒14°C Here are
June 2024 (R), Paper 2 Foundation, Q1 (4 marks): (a) Write these numbers in order of size. Start with the smallest number. 122 5 150 71 39 (b) Write these decimals in order of size. Start with the smallest dec
June 2024 (R), Paper 2 Foundation, Q6 (5 marks): (a) Find the value of 3.42 (b) Find the cube root of 373 248 (c) Write 7 7 7 7 7 7 as a single power of 7 (d) Write one set of brackets in each calculatio
June 2024, Paper 1 Foundation, Q1 (5 marks): The table gives information about the lengths, in kilometres, of the shorelines of seven lakes. Lake Length of shoreline (km) Nasser 8947 Kentucky 3808 Saimaa 1
June 2024, Paper 1 Foundation, Q5 (5 marks): Here is a list of numbers. 2 8 9 18 24 28 (a) From the numbers in the list, write down (i) an odd number (ii) a number that is a multiple of both 4 and 6 (iii)
June 2024, Paper 2 Foundation, Q3 (6 marks): (a) Write these numbers in numerical order. Start with the smallest number. –77 39 –89 43 –6 (b) Write these decimals in order of size. Start with the smallest
November 2023, Paper 1 Foundation, Q1 (5 marks): Here is a list of numbers. 9 11 25 27 33 40 (a) From the numbers in the list, write down (i) an even number (ii) a cube number Here are the temperatures, in °C,
November 2023, Paper 2 Foundation, Q1 (4 marks): The table gives information about the weight of sugar produced by each of five countries in one year. Country Weight (tonnes) Japan 72 900 Barbados 15 745 Kenya
June 2023 (R), Paper 1 Foundation, Q1 (5 marks): The table shows the number of steps Polly walked on each of five days. Day Number of steps Monday 8 927 Tuesday 11 362 Wednesday 9 653 Thursday 10 980 Friday 6
June 2023 (R), Paper 1 Foundation, Q8 (4 marks): (a) Write down the prime number that lies between 90 and 100 (b) Find the cube root of 79 507 (c) Work out the value of 42 × 53
June 2023 (R), Paper 2 Foundation, Q1 (4 marks): 20 21 23 25 27 29 From the numbers in the box, write down (a) (i) the even number, (ii) the square number. prime square cube factor product (b) Complete the fol
June 2023 (R), Paper 2 Foundation, Q3 (2 marks): The table shows the mean daytime temperature for each of five planets. Planet Temperature (°C) Jupiter –160 Mars –30 Mercury 430 Neptune –210 Venus 470 (a) Whic
June 2023 (R), Paper 2 Foundation, Q17 (4 marks): Sandeep wants to buy some packets of pens and some boxes of pencils for his stationery shop. Each packet of pens contains 9 pens. Each box of pencils contains 1
June 2023 (R), Paper 2 Higher, Q2 (4 marks): Sandeep wants to buy some packets of pens and some boxes of pencils for his stationery shop. Each packet of pens contains 9 pens. Each box of pencils contains 1
June 2023, Paper 1 Foundation, Q2 (4 marks): Melanie finds this information about the number of people, in millions, who speak each of five languages as their first language. Number of people Language (in
June 2023, Paper 2 Foundation, Q1 (5 marks): (a) Write in figures the number seven thousand and fifty four. (b) Write the number 78 263 correct to the nearest 100 (c) Write down the value of the 7 in the n
June 2023, Paper 2 Foundation, Q2 (4 marks): Here is a list of numbers. 9 11 13 15 21 60 From the numbers in the list, write down (a) the even number (b) the square number (c) the multiple of 7 (d) the fac
June 2023, Paper 2 Foundation, Q15 (4 marks): Finn is asked to find the value of 5 + 32 + 12 Here is his working and his answer. 5 + 32 + 12 = 82 + 12 = 64 + 12 = 76 Finn’s answer is wrong. (a) Explain what
January 2023 (R), Paper 1 Foundation, Q1 (5 marks): Here is a list of numbers. 2 8 14 15 16 18 20 From this list, write down (a) the odd number (b) the multiple of 6 (c) the square number (d) the prime number (e)
January 2023 (R), Paper 1 Foundation, Q6 (3 marks): (a) Write down all the factors of 10 (b) Find the lowest common multiple (LCM) of 18 and 60
January 2023 (R), Paper 2 Foundation, Q1 (4 marks): (a) Write these numbers in order of size. Start with the smallest number. 171 490 84 105 233 (b) Write in figures the number five thousand, one hundred and two.
January 2023 (R), Paper 2 Foundation, Q21 (4 marks): (a) Find the highest common factor (HCF) of 200 and 420 A = 23 × 3 × 5 ×72 B = 2 × 32 × 7 C = 3 × 52 × 11 (b) Find the lowest common multiple (LCM) of A, B and
January 2023 (R), Paper 2 Higher, Q7 (4 marks): (a) Find the highest common factor (HCF) of 200 and 420 A = 23 × 3 × 5 ×72 B = 2 × 32 × 7 C = 3 × 52 × 11 (b) Find the lowest common multiple (LCM) of A, B and
January 2023 (R), Paper 2 Higher, Q19 (3 marks): Prove algebraically that, for any three consecutive even numbers, the sum of the squares of the smallest even number and the largest even number is 8 more than
January 2023, Paper 1 Foundation, Q1 (4 marks): The table gives information about six plays written by William Shakespeare. Play Number of words Year written The Taming of the Shrew 21 055 1592 Henry V 26 119
January 2023, Paper 1 Foundation, Q4 (5 marks): (a) Write 0.8 as a percentage. % (b) Write down the value of the 3 in the number 4.7634 (c) Write these decimals in order of size. Start with the smallest decim
January 2023, Paper 1 Foundation, Q12 (4 marks): (a) Show that 7 8 – 5 12 = 11 24 (b) Find the highest common factor (HCF) of 130 and 208 Show your working clearly.
January 2023, Paper 2 Foundation, Q1 (4 marks): Here are four cards. Each card has a number on it. 5 7 6 3 These four cards are arranged to make the number 5763 (a) Arrange the four cards to make the smallest
June 2022 (R), Paper 1 Foundation, Q1 (3 marks): Here are four cards. Each card has a number written on it. 3 4 5 7 These four cards are arranged to make the number 3457 (a) Arrange the four cards to make the
June 2022 (R), Paper 1 Foundation, Q6 (4 marks): Here is a list of seven numbers. 5 16 23 27 50 160 240 (a) From the numbers in the list, write down (i) a cube number (ii) a factor of 80 Two numbers in the lis
June 2022 (R), Paper 1 Foundation, Q8 (2 marks): Masie is told that 13 203 ÷ 27 = 489 Explain how she can use this calculation to work out 489 × 28
June 2022 (R), Paper 2 Foundation, Q1 (4 marks): (a) Write these numbers in order of size. Start with the smallest number. 202 58 123 7 180 (b) Write these numbers in order of size. Start with the smallest num
June 2022 (R), Paper 2 Foundation, Q6 (4 marks): (a) Find the value of (i) 31 36 . 3 (ii) 14 (b) Write a number on each dotted line to make the calculation correct. (i) 10 – × 2 = 4 (ii) (5 + ) × 3 = 36
June 2022, Paper 1 Foundation, Q1 (5 marks): Nav found the following table that shows the age, in years, of each of seven cities. City Age (years) Cadiz 3124 Suzhou 2534 Jenin 4469 Istanbul 2704 Nanjing 25
June 2022, Paper 1 Foundation, Q5 (5 marks): Here is a list of numbers. 3 6 7 8 11 25 27 (a) From the numbers in the list, write down (i) an even number (ii) a multiple of 9 (iii) a square number (iv) a pr
June 2022, Paper 2 Foundation, Q1 (7 marks): (a) Write 0.3 as a percentage. % (b) Write 29 100 as a decimal. (c) Write 17 20 as a decimal. (d) Write these numbers in order of size. Start with the smallest
January 2022 (R), Paper 1 Foundation, Q1 (5 marks): 10 15 23 25 27 28 33 35 (a) From the numbers in the box, write down (i) an even number (ii) a multiple of 9 (iii) a prime number Here are four cards. Each card
January 2022 (R), Paper 2 Foundation, Q1 (4 marks): The table gives the total area of forest in each of six countries. Country Area of forest (km2) South Africa 92 410 Denmark 5871 El Salvador 2870 Bahamas 5150 J
January 2022 (R), Paper 2 Foundation, Q5 (5 marks): (a) Work out 4 5 of 80 (b) Write 9 20 as a decimal. Here are four fractions. 1 2 3 4 3 9 8 11 When written as a decimal, one of these fractions will give a term
January 2022, Paper 1 Foundation, Q1 (4 marks): The table shows the average annual rainfall, in mm, for each of five countries. Average annual Country rainfall (mm) Colombia 3240 Jamaica 2051 Brazil 1761 Japa
January 2022, Paper 1 Foundation, Q3 (5 marks): Here is a rectangle made from squares. (a) Shade 0.7 of the rectangle. (b) Write down the value of the 2 in the number 3.289 (c) Write 5 8 as a decimal. (d) Wri
January 2022, Paper 2 Foundation, Q2 (6 marks): Here is a list of numbers. 3 8 9 14 23 28 30 (a) From the numbers in the list, write down (i) a cube number (ii) a factor of 70 (iii) a multiple of 6 (iv) a pri
January 2022, Paper 2 Foundation, Q4 (3 marks): The table below shows the maximum recorded temperature and the minimum recorded temperature on one day in each of four countries. Maximum recorded Minimum recor
January 2022, Paper 2 Foundation, Q22 (3 marks): Find the lowest common multiple (LCM) of 28, 42 and 63 Show your working clearly.
January 2022, Paper 2 Higher, Q7 (3 marks): Find the lowest common multiple (LCM) of 28, 42 and 63 Show your working clearly.
January 2022, Paper 2 Higher, Q18 (3 marks): Prove that when the sum of the squares of any two consecutive odd numbers is divided by 8, the remainder is always 2 Show clear algebraic working.
November 2021, Paper 1 Foundation, Q2 (6 marks): The table shows the average number of spectators per match, for each of six Spanish football teams, in one season. Average number of Team spectators per match R
November 2021, Paper 1 Foundation, Q4 (4 marks): The table shows the temperatures recorded at midnight and at midday for each of five North American cities on a Monday one week. City Midnight temperature ( °C
November 2021, Paper 2 Foundation, Q13 (3 marks): Trains leave Agra station to go to New Delhi every 40 minutes. Trains leave Agra station to go to Mumbai every 48 minutes. At 6 am a train leaves Agra station t
June 2021, Paper 1 Foundation, Q1 (5 marks): 8 9 17 35 48 80 From the numbers in the box, write down (a) a factor of 40 (b) a multiple of 7 (c) a prime number (d) a square number (e) the two numbers with a
June 2021, Paper 1 Foundation, Q2 (5 marks): The diagram shows part of a number line. 12 13 14 (a) Write down the number marked with the arrow. The diagram shows a parcel on weighing scales. 0 11 1 10 2 kg
June 2021, Paper 1 Foundation, Q13 (3 marks): Buses leave a bus station to go to the hospital every 16 minutes. Buses leave the same bus station to go to the college every 20 minutes. At 9 am a bus leaves t
June 2021, Paper 2 Foundation, Q1 (4 marks): The table shows the length, in kilometres, of the coastline of each of five oceans. Ocean Length (kilometres) Arctic 45 389 Atlantic 111 866 Indian 66 526 Pacif
June 2021, Paper 2 Foundation, Q14 (5 marks): (a) Work out 39% of 450 (b) Write one pair of brackets in this calculation so that the answer is correct. 9 × 8 − 5 − 2 = 25 8 9 . (c) Work out the value of 6 2
January 2021 (R), Paper 1 Foundation, Q1 (4 marks): The table shows the heights, in metres, of five mountains. Mountain Height (metres) Aconcagua 6961 Makalu 8485 Kilimanjaro 5895 Mont Blanc 4810 Puncak Jaya 4884
January 2021 (R), Paper 2 Foundation, Q1 (6 marks): Here are five discs. Each disc has a number on it. 4 1 2 8 3 These five discs are arranged to make the number 41283 (a) Show how all five discs can be arranged
January 2021 (R), Paper 2 Foundation, Q5 (8 marks): The table shows the temperature recorded in Amsterdam at 6 am on each of five days. Day Monday Tuesday Wednesday Thursday Friday Temperature (°C) –5 –1 4 3 –6 (
January 2021 (R), Paper 2 Higher, Q15 (4 marks): Prove algebraically that the product of any two odd numbers is always an odd number.
January 2021, Paper 1 Foundation, Q1 (5 marks): The table shows the height, in metres, of each of seven volcanoes. Volcano Height (metres) Acamarachi 6046 Bazman 3490 Dona Juana 4150 Kamen 4585 Mount Ararat 5
January 2021, Paper 1 Higher, Q18 (3 marks): Given that (8 – x )(5 + x ) = y x + 21 where x is a prime number and y is an integer, find the value of x and the value of y. Show each stage of your working cl
January 2021, Paper 2 Foundation, Q1 (5 marks): Here is a list of numbers in a box. 6 8 17 36 44 76 91 From the numbers in the list, write down (a) a multiple of 11 (b) a factor of 30 (c) a square number (d)
January 2021, Paper 2 Foundation, Q3 (2 marks): The temperature in New York is –2 °C At the same time, the temperature in Rabat is 16 °C higher than the temperature in New York. (a) Work out the temperature i
November 2020 (R), Paper 1 Foundation, Q14 (2 marks): Find the lowest common multiple (LCM) of 20 and 35
November 2020 (R), Paper 2 Foundation, Q1 (6 marks): The table shows the depth of six ocean trenches. Trench Depth (metres) Diamantina 8047 Eurasian Basin 4437 Philippine 10 540 Puerto Rico 8594 South Sandwich 845
November 2020 (R), Paper 2 Foundation, Q6 (4 marks): There are 32 children in a nursery. Sandeep buys 5 boxes of balloons. There are 25 balloons in each box. Sandeep shares the balloons equally between the 32 chil
November 2020 (R), Paper 2 Foundation, Q9 (7 marks): (a) Work out 16 ÷ 4 + 3 × 8 (b) Find the cube root of 5832 (c) Write 85% as a decimal. (d) Write these fractions in order of size. Start with the smallest fract
November 2020, Paper 1 Foundation, Q1 (3 marks): The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015 Crude oil produced per day Country (num
November 2020, Paper 2 Foundation, Q1 (4 marks): Here is a list of numbers. 1 17 21 25 26 31 39 64 From this list, write down (a) an even number (b) a multiple of 3 (c) a prime number (d) a cube number
November 2020, Paper 2 Foundation, Q4 (3 marks): The table gives the minimum temperature for January 2018 in each of six cities. Minimum City temperature (°C) Barcelona 3 Donetsk −10 Mexico City −1 Mombasa 22
November 2020, Paper 2 Foundation, Q12 (3 marks): (a) Write down all the factors of 9 (b) Find the lowest common multiple (LCM) of 15 and 70
January 2020 (R), Paper 1 Foundation, Q1 (3 marks): 3 2 6 8 (a) Write down the largest possible four digit number using all the digits that are in the box. 17 24 1 27 20 9 15 8 From the numbers in the circle, wri
January 2020 (R), Paper 1 Foundation, Q2 (5 marks): At 6 pm, the temperature in Victoria’s garden was 5 °C. By midnight, the temperature in Victoria’s garden had fallen by 9 °C. (a) Work out the temperature in Vi
January 2020 (R), Paper 2 Foundation, Q1 (5 marks): (a) Write in figures the number seventy thousand, two hundred and sixteen. (b) Write down a common factor of 20 and 30 (c) Write down a square number that is be
January 2020 (R), Paper 2 Foundation, Q5 (3 marks): A B C D Diagram NOT 30 cm accurately drawn 96 cm In the diagram, A, B, C and D are points on a straight line. AB = 30 cm AC = 96 cm BC = 3CD Work out the length
January 2020 (R), Paper 2 Higher, Q25 (3 marks): N is a multiple of 5 A = N + 1 B = N – 1 Prove, using algebra, that A2 – B2 is always a multiple of 20
January 2020, Paper 1 Foundation, Q1 (4 marks): The table shows the land area, in km2, of each of six African countries. Country Land area (km2) Botswana 566 730 Kenya 569 140 Namibia 823 290 Somalia 627 340
January 2020, Paper 1 Foundation, Q15 (4 marks): (a) Find the highest common factor (HCF) of 28 and 70 (b) Find the lowest common multiple (LCM) of 28 and 105
January 2020, Paper 1 Higher, Q2 (2 marks): Find the lowest common multiple (LCM) of 28 and 105
January 2020, Paper 2 Foundation, Q1 (3 marks): Here is a list of numbers 13 14 18 23 30 36 From the numbers in the list, write down (i) an odd number (ii) the multiple of 4 (iii) the factor of 28
January 2020, Paper 2 Foundation, Q7 (4 marks): (a) Complete the number machine by writing the correct output on the dotted line. input output 10 + 5 × 4 (b) Complete the number machine by writing the correct
January 2020, Paper 2 Foundation, Q11 (6 marks): Here are five mathematical signs + > = ∈ < (a) Write one of these five signs in each box so that each of these statements is true. (i) 4 °C 9 °C (ii) –3 °C –8 °
January 2020, Paper 2 Higher, Q17 (3 marks): Prove that the difference between two consecutive square numbers is always an odd number. Show clear algebraic working.
June 2019 (R), Paper 1 Foundation, Q1 (4 marks): (a) Write a number in each box so that each calculation is correct. (i) + 357 = 486 (ii) × 23 = 1840 Here are four cards. Each card has a number on it. The four
June 2019 (R), Paper 1 Foundation, Q5 (3 marks): The table shows the temperature in each of five Canadian cities one day in January. City Temperature Vancouver 6 °C Edmonton í& Yellowknife í& Quebec í
June 2019 (R), Paper 1 Foundation, Q18 (5 marks): (a) Find the highest common factor (HCF) of 21 and 35 (b) Write 720 as a product of its prime factors. Show your working clearly. (c) Find the smallest whole nu
June 2019 (R), Paper 2 Foundation, Q1 (5 marks): is 5 marks)
June 2019 (R), Paper 2 Foundation, Q5 (3 marks): Here is a list of eight numbers. 27 30 52 10 23 74 81 42 From the list, write down (i) a square number (ii) a factor of 50 (iii) a prime number.
June 2019 (R), Paper 2 Foundation, Q23 (4 marks): A = 32 x 54x 7 B = 34 × 53 × 7 × 11 (a) Find the highest common factor (HCF) of A and B. (b) Find the lowest common multiple (LCM) of A and B.
June 2019 (R), Paper 2 Higher, Q8 (4 marks): A = 32 × 54 × 7 B = 34 × 53 × 7 × 11 (a) Find the highest common factor (HCF) of A and B. (b) Find the lowest common multiple (LCM) of A and B.
June 2019, Paper 1 Foundation, Q1 (4 marks): 3 8 16 19 24 51 60 81 From the numbers in the box, write down (a) an odd number (b) a multiple of 12 (c) a square number (d) a prime number
June 2019, Paper 1 Foundation, Q3 (5 marks): The table gives the surface areas, in square kilometres, of six lakes in Africa. Surface area Lake (square kilometres) Albert 5299 Malawi 29 500 Mweru 5120 Tang
June 2019, Paper 1 Foundation, Q5 (4 marks): There are 12 481 people at a concert. 8906 of these people are adults. The rest of the people are children. 3 5 of the children are boys. Work out the number of
June 2019, Paper 1 Foundation, Q14 (4 marks): (a) Find the highest common factor (HCF) of 40 and 64 A = 2n × 3 × 5m (b) Write 8A as a product of powers of its prime factors.
June 2019, Paper 2 Foundation, Q1 (4 marks): Start with the smallest number. -5 3 -8 1 (b) Write these numbers in order of size. Start with the smallest number. 2.5 2.85 2.082 2.28 2.805 (c) Find (i) the v
January 2019 (R), Paper 1 Foundation, Q1 (3 marks): The table gives information about the lengths of five canals. Name of canal Length (km) Danube-Black Sea 95.6 Kiel 98.4 Manchester 58.3 Panama 77.1 Suez 193.3 (
January 2019 (R), Paper 1 Foundation, Q5 (4 marks): Here is a list of numbers. 12 14 15 16 18 20 22 24 (a) Which number in the list is a multiple of both 6 and 9? Two numbers in the list are factors of 90 (b) Whi
January 2019 (R), Paper 2 Foundation, Q5 (4 marks): The table gives the midnight temperatures on 1st January for five cities in the USA. City Midnight temperature Boston –5 °C Philadelphia – 4 °C Orlando 10 °C Ch
January 2019, Paper 1 Foundation, Q1 (7 marks): (a) Write these numbers in order of size. Start with the smallest number. 73 138 36 219 89 (b) Write in figures the number two thousand and eighteen. (c) Write
January 2019, Paper 1 Foundation, Q4 (6 marks): Megan buys 2 muffins and 1 carrot cake. The total cost is £4.74 The cost of the carrot cake is £1.80 (a) Find the cost of each muffin. £ Caitlin buys some apple
January 2019, Paper 1 Foundation, Q7 (6 marks): (a) Write down the prime number between 90 and 100 (b) Find the value of 36 (c) Find the cube root of 6859 8 4 . 9 1 . 2 + (d) (i) Work out the value of 4 1 . 0

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