The four operations — Paper 2 · IGCSE Mathematics 0580

5 32 1 _ 524 Simplify x ÷ x . 8 2 Answer [2]

2 marks

Mark scheme: 4 1.25 x4 (or 1 1 x4) 2 B1 1.25 B1 x4 4

This question in 0580/21 Oct/Nov 2009

1 Write down the number which is 3.6 less than – 4.7 . For Examiner's Use Answer [1]

1 marks

Mark scheme: Qu. Answers Mark Part Marks 33 1 –8.3 1 Allow –810

This question in 0580/23 Oct/Nov 2010

1 The price of a ticket for a football match is $124 . For Examiner's (a) Calculate the amount received when 76 500 tickets are sold. Use Answer(a) $ [1] (b) Write your answer to part (a) in standard form. Answer(b) $ [1]

2 marks

Mark scheme: Qu Answers Mark Part marks 1 (a) 9486000 1 (b) 9.486 × 106 1ft

This question in 0580/21 May/June 2012

7 Find the value of . 11.8 − 10.95 Give your answer correct to 4 significant figures. Answer [2]

2 marks

Mark scheme: 7 8.471 cao 2 144 8 B1 for 8.47 or 8.4705 to 8.4706 or or 8 17 17

This question in 0580/23 Oct/Nov 2012

13 Write the following as a single fraction in its simplest form. x + 2 2 x − 1 _ + 1 3 4 Answer [3]

3 marks

Mark scheme: 13 23 – 2x 3 M1 for two correct algebraic fractions with a 12 common denominator of 12 M1 for correctly collecting their terms M1 for dealing correctly with the 1 √

This question in 0580/23 Oct/Nov 2012

1 One January day in Munich, the temperature at noon was 3°C. For Examiner′s At midnight the temperature was –8°C. Use Write down the difference between these two temperatures. Answer … °C [1] _____________________________________________________________________________________

1 marks

Mark scheme: Qu. Answers Mark Part Marks 1 11 or –11 1

This question in 0580/21 May/June 2013

5.27 - 0 .932 Calculate . 4 .89 - 4. 07 Give your answer correct to 4 signifi cant fi gures. Answer … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 2 5.293 cao 2 B1 for 5.29 or 5.292 to 5.2927

This question in 0580/21 Oct/Nov 2013

13 E (x – 4) cm A B NOT TO (x – 1) cm SCALE 7 cm D C F G (a) ABCD is a square. Find the value of x. Answer(a) x = … [1] (b) Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG. Answer(b) FG = … cm [2] __________________________________________________________________________________________

3 marks

Mark scheme: 13 (a) 11 1 (b) 8 2FT FT 30 – 2 × their (a) or M1 for 4 × 7 = 2(x – 1) + FG oe or 4(x – 4) = 2(x – 1) + FG oe or 2 × 7 + 2(x – 4) = 2(x – 1) + FG oe Allow x to be their (a) in each

This question in 0580/22 May/June 2015

1 At midnight the temperature in Newtown was –8 °C. At noon the next day the temperature in Newtown was 9 °C. Work out the rise in temperature from midnight to noon. Answer … °C [1] __________________________________________________________________________________________

1 marks

Mark scheme: Question Answer Mark Part Marks 1 [+]17 1

This question in 0580/21 Oct/Nov 2015

1 Write down the difference in temperature between 8°C and −9°C. Answer … °C [1]

1 marks

Mark scheme: Question Answer Mark Part Marks 1 17 1

This question in 0580/22 Oct/Nov 2015

2.07 - 1.89 .2 Calculate 5.71 - 3.92 Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 [0].101 or [0].1005 to [0].1006 1

This question in 0580/23 Oct/Nov 2015

1 Write down the temperature which is 5 °C below –2 °C. … °C [1]

1 marks

Mark scheme: Question Answer Mark Part marks 1 –7 1

This question in 0580/21 Oct/Nov 2016

4 The table shows the temperatures in five places at 10 am one day in January. Place Temperature (°C) Helsinki -7 Chicago -10 London 3 Moscow -4 Bangkok 26 (a) Which place was the coldest? … [1] (b) At 2 pm the temperature in Helsinki had increased by 4 °C. Write down the temperature in Helsinki at 2 pm. … °C [1]

2 marks

Mark scheme: 4(a) Chicago 1 4(b) − 3 1

This question in 0580/21 May/June 2017

20 The diagram shows a fair spinner. 1 6 3 4 3 Anna spins it twice and adds the scores. (a) Complete the table for the total scores. Score on first spin 1 3 3 4 6 1 2 4 4 5 7 3 4 6 6 7 9 Score on 3 4 6 6 7 9 second spin 4 6 [1] (b) Write down the most likely total score. … [1] (c) Find the probability that Anna scores (i) a total less than 6, … [2] (ii) a total of 3. … [1]

5 marks

Mark scheme: 20(a) 5 7 7 8 10 1 7 9 9 10 12 20(b) 7 1 20(c)(i) 7 2FT their 7 or 0.28 or 28% FT 25 25 k B1 for 25 2 6 If zero scored, then SC1 for or if no 5 15 values in the bottom two rows of the table. 20(c)(ii) 0 1FT their 0 FT 25

This question in 0580/21 May/June 2017

4 Calculate 120 + 3.8 2 - 25 . … [1]

1 marks

Mark scheme: 4 [0].394 1 or [0].3944 to [0].3945

This question in 0580/22 May/June 2017

1 One day, at noon, in Maseru, the temperature was 17 °C. At midnight the temperature was 20 °C lower. Work out the temperature at midnight. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial marks 1 – 3 1

This question in 0580/22 Oct/Nov 2017

1 One day in Chamonix the temperature at noon was 6 °C. At midnight the temperature was 11 °C lower. Write down the temperature at midnight. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 – 5 1

This question in 0580/23 May/June 2018

1 25 Without using a calculator, work out + . 15 5 Write down all the steps of your working and give your answer as a fraction in its simplest form. … [2]

2 marks

Mark scheme: 5  1  2 × 3 M1  1  6 + or better e.g. +      15  5 × 3  15  15 Allow any correct common denominator 15k 7 A1 cao 15

This question in 0580/22 Oct/Nov 2018

4 Calculate. 5.39 - 0.98 0.743 - 0.0743 … [1]

1 marks

Mark scheme: 4 6.59 or 6.594 to 6.595 1

This question in 0580/23 Oct/Nov 2018

1 The temperature at 07 00 is -3 °C. This temperature is 11 °C higher than the temperature at 01 00. Find the temperature at 01 00. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 −14 1

This question in 0580/22 Feb/March 2019

6 Calculate. (a) - 12 ' - 2 … [1] (b) 3 2 3 + 2 … [1]

2 marks

Mark scheme: 6(a) 6 1 6(b) 2.15 or 2.154… 1

This question in 0580/23 May/June 2019

3 Calculate. 16.379 - 0.879 # 1. 241 4.2 Give your answer correct to 2 significant figures. … [2]

2 marks

Mark scheme: 3 4.6 cao nfww 2 B1 for 4.57 or 4.58 or 4.579 to 4.580 If 0 scored, SC1 for their calculation rounded to 2 sf if more than 2sf seen

This question in 0580/21 Oct/Nov 2019

1 The lowest temperature recorded at Scott Base in Antarctica is -57.0 °C. The highest temperature recorded at Scott Base is 63.8 °C more than this. What is the highest temperature recorded at Scott Base? … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 6.8 1

This question in 0580/22 Oct/Nov 2019

2 Calculate. 5 3 + 340 8 … [1]

1 marks

Mark scheme: 2 7.6[0] or 7.604 to 7.605 1

This question in 0580/22 Oct/Nov 2019

1 Write down the temperature that is 7 °C below -3 °C. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 –10 1

This question in 0580/23 Oct/Nov 2019

2 At noon the temperature in Maseru was 21 °C. At midnight the temperature had fallen by 26 °C. Work out the temperature at midnight. … °C [1]

1 marks

Mark scheme: 2 –5 1

This question in 0580/22 May/June 2020

2 Insert one pair of brackets to make this calculation correct. 7 - 5 - 3 + 4 = 9 [1]

1 marks

Mark scheme: 2 7 – (5 – 3) + 4 1

This question in 0580/22 Oct/Nov 2020

1 Write down the number that is 23 less than - .16 . … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 –24.6 1

This question in 0580/23 May/June 2021

3 Calculate. 4.87 - 2.7 3 - 0.2 + 0.729 … [1]

1 marks

Mark scheme: 3 3.1 1

This question in 0580/21 Oct/Nov 2021

1 The temperature at midnight is -8.5 °C. The temperature at 11 am is -1 °C. Work out the difference between the temperature at midnight and the temperature at 11 am. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 7.5 1

This question in 0580/22 Oct/Nov 2021

4 (a) = ! 2 1 Put a ring around each of the symbols that make this statement correct. 0.5 … 5% [1] (b) Insert one pair of brackets to make this statement correct. 7 - 3 - 1 + 2 = 7 [1]

2 marks

Mark scheme: 4(a) ≠and > indicated 1 4(b) 7 – (3 – 1) + 2 = 7 cao 1

This question in 0580/23 Oct/Nov 2021

11 P = M ( g 2 + h 2 ) (a) Find the value of P when M = 100, g = 3 and h = 4.5 . P = … [2] (b) Rearrange the formula to write g in terms of P, M and h. g = … [3]

5 marks

Mark scheme: 11(a) 2925 2 M1 for 100(32 + 4.52) or B1 for 29.25 seen 11(b) P 2 3 M1 for correct division by M [±] − h M1 for correct re-arrangement to isolate g M or g2 P − Mh 2 M1 for correct square root of two term or [±] final answer M expression Max 2 marks for an incorrect answer

This question in 0580/23 Oct/Nov 2021

1 - 0.74 Calculate , giving your answer correct to 4 significant figures. 0.45 - 0.38 … [2]

2 marks

Mark scheme: 4 4.286 cao 2 30 2 B1 for 4.285[7...] or 4.29 or or 4 7 7 or for correctly rounding their more accurate decimal to 4sf

This question in 0580/21 May/June 2022

1 At noon, the temperature is 4 °C. At midnight, the temperature is - 9 °C. Work out the difference in temperature between noon and midnight. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 13 or – 13 1

This question in 0580/22 May/June 2022

1 513 Without using a calculator, work out 4 - 2 . 8 6 You must show all your working and give your answer as a mixed number in its simplest form. … [3]

3 marks

Mark scheme: 13 33 17 1 5 B1 Correct step for dealing with mixed numbers or  8 6 28 6 33k 17 k Allow or 8 k 6 k 99 68 20 M1 Correct method to find common denominator and 32  24 24 24 24 3 20 e.g. 4 and 2 24 24 7 A1 124 cao and correct working

This question in 0580/22 May/June 2022

46 Without using a calculator, work out ' 8 . 7 You must show all your working and give your answer as a fraction in its simplest form. … [2]

2 marks

Mark scheme: 6 4 1 4 56 M1  oe or  oe 7 8 7 7 1 A1 cao 14

This question in 0580/22 Feb/March 2023

1 Find the temperature that is 8 °C colder than - 5 °C. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 –13 1

This question in 0580/22 May/June 2023

11 110 Without using a calculator, work out 5 + 2 . 12 4 You must show all your working and give your answer as a mixed number in its simplest form. … [3]

3 marks

Mark scheme: 10 M1 Accept with other correct common k 27 11  [5] and denominators 12 12 12 71 f 27 f 3 e.g. 24, 36, 48 such as and oe or [2] 12 f 12 f 71 c 12  oe 12 12 1 A2 1 8 cao A1 for fraction equivalent to 8 6 6 49 k 1k 7 e.g. or 8 or 7 6 k 6 k 6

This question in 0580/23 May/June 2023

8 Calculate. 3 3 7 # 3 11 10 … [1]

1 marks

Mark scheme: 8 24 cao 1

This question in 0580/21 Oct/Nov 2023

2 Write down the number that is 9 greater than - 23 . … [1]

1 marks

Mark scheme: 2 –14 1

This question in 0580/22 Oct/Nov 2023

1 The temperature at midnight is -4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures. … °C [1]

1 marks

Mark scheme: Question Answer Mark Partial Marks 1 29 1

This question in 0580/22 May/June 2024

2 Put one pair of brackets into this calculation to make it correct. 5 - 4 # 3 - 9 - 2 = 0 [1]

1 marks

Mark scheme: 2 5 – (4 × 3 – 9) – 2 1

This question in 0580/23 May/June 2024

5 Work out. 6 (a) 3 e o - 4 f p [1] 4 - 7 (b) e o + e o -1 5 f p [1]

2 marks

Mark scheme: 5(a)  18  1    −12  5(b)  −3  1    4 

This question in 0580/21 Oct/Nov 2024

1 4 11 Without using a calculator, work out 5 - 3 . 3 7 You must show all your working and give your answer as a mixed number in its simplest form. … [3]

3 marks

Mark scheme: 11 B1 Correct step for dealing with mixed numbers 16 25 1 4 or − 16 k 25 k Allow or 3 7 23 7 3k 7 k M1 Correct method to find common denominator 112 75 12 7 and 72 and e.g. 5 and 312 21 21 21 21 21 21 16 A1 121 cao

This question in 0580/21 Oct/Nov 2024

11 (a) Write 0.007 08 in standard form. … [1] (b) Work out ( 3. 8 # 10 22 ) + ( 3. 8 # 10 23 ) . Give your answer in standard form. … [2]

3 marks

Mark scheme: 11(a) 7.08 × 10–3 cao 1 11(b) 4.18 × 1023 cao 2 B1 for figs 418 or M1 for 0.38 × 1023 or 38 × 1022 or 1022(3.8 + 3.8 × 10) or 1023(3.8 ÷ 10 + 3.8) oe

This question in 0580/22 May/June 2025

11 Angela picks a number at random from the numbers 1, 2 and 3. She then picks a number at random from the numbers 4, 5 and 6. She adds the two numbers to find the total. (a) Complete the table to show the possible outcomes. First number + 1 2 3 4 5 6 7 Second 5 number 6 [2] (b) Given that the total is odd, find the probability that one of the numbers Angela picks is 3. … [2]

4 marks

Mark scheme: 11(a) 2 B1 for 4 correct First number + 1 2 3 4 5 6 7 Second number 5 6 7 8 6 7 8 9 11(b) 2 2 c oe B1 for answer where c < 5 5 5 2 or seen in working 5

This question in 0580/23 May/June 2025

7 Simplify. p 2 (a) ' t t … [2] 3x x - 1 (b) - 4 2 … [2]

4 marks

Mark scheme: 7(a) p 2 p t final answer M1 for  or for cross cancelling of t 2 t 2 7(b) x + 2 x 1 2 3 x − 2 ( x − 1) or + final answer M1 for oe 4 4 2 4 x − 2 If 0 scored, SC1 for final answer 4 oe

This question in 0580/21 Oct/Nov 2025

17 I = M ( k2 + c 2 ) (a) Find the value of I when M = 7, k = 3 and c = 2. I = … [2] (b) Rearrange the formula to write k in terms of I, M and c. k = … [3]

5 marks

Mark scheme: 17(a) 91 2 M1 for 7(32 + 22) oe 17(b) 2 3 M1 for correctly dividing by M I 2 I − Mc  − c or  M1 for correctly isolating term in k2 M M M1 for correctly taking square root final answer Maximum M2 if answer is incorrect

This question in 0580/21 Oct/Nov 2025

1 The temperature at 4 am is -12 °C. The temperature at 4 pm is 21 °C. Find the increase in temperature from 4 am to 4 pm. … °C [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 33 1

This question in 0580/22 Oct/Nov 2025

25 Mahir picks one number at random from the numbers 5, 10 and 15. He then picks one number at random from the numbers 4, 5 and 6. He adds the two numbers. The sample space diagram shows some of the possible outcomes. First number + 5 10 15 4 14 19 Second 5 15 20 number 6 16 21 (a) Complete the sample space diagram. [1] (b) Given that the total of the two numbers is odd, find the probability that one of the numbers added is 15. … [2]

3 marks

Mark scheme: 25(a) 1 9 10 11 25(b) 2 2 their 2 oe FT for 5 their 5 their 2 B1FT for where their 2 ⩽ k ⩽ 9 k c or for where 0 < c ⩽ their 5 their 5

This question in 0580/23 Oct/Nov 2025