Using a calculator — Paper 2 · IGCSE Mathematics 0580

(cos30 ) (sin30 ) 3 Use your calculator to find the value of o o . 2(sin120 )(cos120 ) Answer [2]

2 marks

Mark scheme: 3 − 3 − 1 2 B1 numerator 0.5 –0.577 or or 3 3 or B1 denominator –0.866……or − 3 2

This question in 0580/21 Oct/Nov 2009

1 1 1 1 6 Calculate the value of + 2 2 2 2 (a) writing down all the figures in your calculator answer, Answer(a) [1] (b) writing your answer correct to 4 significant figures. Answer(b) [1]

2 marks

Mark scheme: 6 (a) 0.461939(…) 1 (b) 0.4619 or ft 1ft 1 2

This question in 0580/21 May/June 2010

6 (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: 6 (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 0580/23 May/June 2011

l 14 T = 2π g (a) Find T when g = 9.8 and ℓ = 2. Answer(a) T = [2] (b) Make g the subject of the formula. Answer(b) g = [3]

5 marks

Mark scheme: 14 (a) 2.84 2 M1 correct substitution of g and l seen 4 π 2 l (b) oe 3 M1 each correct move but third move marked on T 2 answer line

This question in 0580/21 Oct/Nov 2011

3 17.1 − 1.89 For 8 Find the value of . Examiner's 10.4 + 8.36 Use Answer [2]

2 marks

Mark scheme: 8 0.186 2 B1 for 2.477 to 2.478 or 13.29… seen

This question in 0580/23 Oct/Nov 2011

2 Use your calculator to find the value of 8.12 + 6.2 2 − 4.3 2 . 2 × 8.1 × 6.2 Answer [2]

2 marks

Mark scheme: 23 2139 2 [0].852 or 2 B1 for 85.56 or 27 25

This question in 0580/21 Oct/Nov 2012

2 (a) Calculate 5.7 – 1.032 . Write down all the numbers displayed on your calculator. Answer(a) … [1] (b) Write your answer to part (a) correct to 3 decimal places. Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 2 (a) 1.32656... 1 (b) 1.327 1ft

This question in 0580/21 May/June 2013

4 Use a calculator to fi nd For Examiner′s Use 5 (a) 5 24 , Answer(a) … [1] cos 40° (b) . 7 Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 4 (a) [ ± ] 2.28 or 2.282 to 2.2822 1 (b) 0.109 or 0.1094[3…] 1 2 5.1 − 5.1  2   2  3 2  2 

This question in 0580/23 May/June 2013

20 (a) For Examiner′s 4 Use y = 8 + x Find y when x = 2. Give your answer correct to 4 decimal places. Answer(a) y = … [2] 4 (b) Rearrange y = 8 + to make x the subject. x Answer(b) x = … [4]

6 marks

Mark scheme: 20 (a) [ ± ] 3.1623 cao 2 M1 for √10 seen 4 (b) 2 oe final answer 4 M1 first move completed correctly − 8 y M1 second move completed correctly M1 third move completed correctly M1 final move completed correctly on answer line

This question in 0580/23 May/June 2013

31 Use your calculator to work out + 2–1. 4 Give your answer correct to 2 decimal places. Answer … [2] __________________________________________________________________________________________

2 marks

Mark scheme: Question Answers Mark Part Marks 33 11 1 1.37 2 B1 for 0.866… or or 0.5 or 2 2 or B1 for 1.366… as final answer 1 2 36 f b

This question in 0580/21 May/June 2014

1 Use your calculator to fi nd the value of 1.357. Give your answer correct to 5 signifi cant fi gures. Answer … [2] __________________________________________________________________________________________

2 marks

Mark scheme: 1 8.1722 cao 2 B1 for 8.17 or 8.172 or 8.1721 or 8.17215… 22

This question in 0580/21 Oct/Nov 2014

4 Calculate (2.1 – 0.078)17, giving your answer correct to 4 significant figures. … [2]

2 marks

Mark scheme: 4 157 900 cao 2 B1 for 158000 or 157860 or 157862 to 157863 If zero scored, SC1 for their answer to more than 4 figs correctly rounded to 4 sf

This question in 0580/21 May/June 2016

5 .04 - 33 (a) Use a calculator to work out . 0.13 - 0. 015 Write down all the digits in your calculator display. … [1] (b) Write your answer to part (a) correct to 2 significant figures. … [1]

2 marks

Mark scheme: 3(a) 1.49220…. 1 3(b) 1.5 1FT FT their answer to (a) rounded correctly to 2 significant figures

This question in 0580/21 Oct/Nov 2017

10 (a) Calculate 2.38 + 6.42 , writing down your full calculator display. … [1] (b) Write your answer to part (a) correct to 4 decimal places. … [1]

2 marks

Mark scheme: 10(a) 6.58331… 1 10(b) 6.5833 1 FT their (a) correctly rounded to 4 dp

This question in 0580/21 May/June 2018

1 29 Without using a calculator, work out ' . 4 3 You must show all your working and give your answer as a fraction. … [2]

2 marks

Mark scheme: 9 1 3 3 8 M1 × or ÷ oe 4 2 12 12 3 A1 Accept equivalent fractions oe 8

This question in 0580/23 Oct/Nov 2018

2 2 Use your calculator to work out 1 sin 33° . -` j … [1]

1 marks

Mark scheme: 2 0.839 or 0.8386 to 0.8387 1

This question in 0580/22 May/June 2019

1 19 Without using a calculator, work out 1 # 2 . 7 10 You must show all your working and give your answer as a mixed number in its simplest form. … [3]

3 marks

Mark scheme: 9 8 21 M1 and oe improper fractions 7 10 168 A1 oe improper fractions 70 2 A1 Dep. on first A1 2 cao final answer 5 8 21 If M0 scored SC1 for or oe 7 10 improper fractions

This question in 0580/23 Oct/Nov 2020

10 Calculate. (a) 2000 # 1.23 … [1] 1 6 (b) 2 # 8 17 … [1] 4.5 ( cos 30°) (c) - 2 3 … [1]

3 marks

Mark scheme: 10(a) 3456 1 10(b) 3 1 0.75 or oe 4 10(c) 1 1 0.25 or 4

This question in 0580/22 Oct/Nov 2022

3 Calculate. 4. 8 15 + 2. 2 … [1]

1 marks

Mark scheme: 3 6.05 or 6.054 to 6.055 1

This question in 0580/23 Oct/Nov 2022