Using a calculator — Paper 1 · IGCSE Mathematics 0580

9 3 7 6 ÷ = 5 10 7 Show how this calculation is done without using a calculator. Write down the working. Answer [2]

2 marks

Mark scheme: 9 3 10 M1 Only acceptable method. x 5 7 30 6 = or 35 7 E1 3 × 2 6 = 1 × 7 7 IGCSE EXAMINATIONS – NOVEMBER 2004 0580/0581 1

This question in 0580/11 Oct/Nov 2004

6 (a) Work out For 12.48 × 0.063 Examiner's . Use 8 + 7.52 Write down all the figures on your calculator display. Answer(a) [1] (b) Write your answer to part (a) correct to 2 significant figures. Answer(b) [1]

2 marks

Mark scheme: 6 (a) 0.075976(….) 1 (b) 0.076 1 f.t. f.t. candidates (a)

This question in 0580/11 May/June 2006

22 13.5 + 16 4.8 − (22 ÷ 13 ) (a) Rewrite this calculation with each number rounded to 1 significant figure. Answer(a) [2] (b) Use your answer to part (a) to estimate the answer to the calculation. Show your working and write your answer correct to 1 significant figure. Answer(b) [1] (c) Use your calculator to find the answer to the original calculation correct to 3 significant figures. Answer(c) [2]

5 marks

Mark scheme: 22 10 + 20 (a) 2 SC1 for 3 or 4 of the numbers given to 1 5 − ( 20 ÷ 10) significant figure. (b) 10 cao. 1 (c) 9.49 cao. 2 B1 for 9.485(5)… to 9.493 seen. (Allows for 22 ÷ 13 rounded to 3sf) If zero, SC1 for 9.5www as final answer 17 (Not 9.50 but check for possible B1)

This question in 0580/11 Oct/Nov 2006

0.68 + 2.57 × 1.76 13 (a) Work out . 63 Write down all the figures from your calculator display. Answer(a) [1] (b) Write your answer to part (a) in standard form correct to 3 significant figures. Answer(b) [2]

3 marks

Mark scheme: 13 (a) 0.08259(.….) 1 (b) 8.26 × 10–2 2ft W1 for their figs 826, i.e. to 3 sig figs (a) must have a minimum of 4 figures in order to qualify for this mark. or W1 ind for their (a) in standard form.

This question in 0580/12 May/June 2010

8 (a) Use your calculator to work out 27.4 × (3.28 + 1.6 × 9.8) . Write down all the figures from your calculator display. Answer(a) [1] (b) Write your answer to part (a) correct to 3 significant figures. Answer(b) [1]

2 marks

Mark scheme: 8 (a) 519.504 1 (b) 520 1ft Only ft if their (a) is 4 figs or more 2

This question in 0580/13 May/June 2010

10 Use your calculator to find the value of 25.63 . For Examiner's Use Write down your answer (a) as it appears on your calculator, Answer(a) [1] (b) correct to 4 significant figures. Answer(b) [1]

2 marks

Mark scheme: 10 (a) 5.062608(024) 1 (b) 5.063 1ft ft (a) to 4sf only if their (a) is 5 digits or more

This question in 0580/11 Oct/Nov 2010

13 (a) Rewrite this calculation with all the numbers rounded to 1 significant figure. For Examiner's 77.8 Use 21.9 − 3.8 × 4.3 Answer(a) [1] (b) Use your answer to part (a) to work out an estimate for the calculation. Answer(b) [1] (c) Use your calculator to find the actual answer to the calculation in part (a). Give your answer correct to 1 decimal place. Answer(c) [2]

4 marks

Mark scheme: 13 80 1 Condone either 78 for 80 or 22 for 20 but not (a) both. 20 − 4 × 4 (b) 20 1 SC1 for answer 13 if clearly from 78 ÷ (22 − 4 × 4) or 78 ÷ (22 − 16). (c) 14.0 2 B1 for 13.9(9……….) or 14 in working or in the answer.

This question in 0580/12 May/June 2011

45 × 5.75 For 6 Use your calculator to find . Examiner's 3.1 + 1.5 Use Answer [2]

2 marks

Mark scheme: 258.75 6 7.5(0) cao 2 M1 for 6.4

This question in 0580/11 Oct/Nov 2011

700 For .22 (a) Calculate Examiner's 3 28.6 Use Answer(a) [1] (b) Work out (8 × 106)2, giving your answer in standard form. Answer(b) [2]

3 marks

Mark scheme: 22 (a) 0.0299 or 0.02992… 1 (b) 6.4 × 1013 2 B1 for 64 × 1012 or 64 000 000 000 000

This question in 0580/13 Oct/Nov 2011

9 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: 2139 9 [0].852 or 2 B1 for 85.56 or 27 25 5

This question in 0580/11 Oct/Nov 2012

3 (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: 3 (a) 1.32656 ….. 1 (b) 1.327 1ft

This question in 0580/11 May/June 2013

12 (a) Use your calculator to work out 65 – 1.72 . Write down all the numbers displayed on your calculator. Answer(a) … [1] (b) Write your answer to part (a) correct to 2 signifi cant fi gures. Answer(b) … [1] _____________________________________________________________________________________

2 marks

Mark scheme: 12 (a) 5.17225... 1 (b) 5.2 1FT FT their (a)

This question in 0580/12 May/June 2013

10 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: 10 (a) [ ± ] 2.28 or 2.282 to 2.2822 1 (b) 0.109 or 0.1094 [3 …] 1

This question in 0580/13 May/June 2013

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

2 marks

Mark scheme: 3 1 10 1.37 2 B1 for 0.866… or or 0.5 or 2 2 or B1 for 1.366… as final answer

This question in 0580/11 May/June 2014

3 16 2 Calculate 2 . 1.3 Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 1.49 or 1.491... 1

This question in 0580/12 May/June 2014

9 Use your calculator to work out (a) 4.22 + 5.82 , Answer(a) … [1] (b) 3 42.875 . Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 9 (a) 7.16[1…] 1 (b) 3.5 oe 1

This question in 0580/13 May/June 2015

3 Use your calculator to work out 2 8.2 - 52.48 . 7.38 - 6 .18 … [1]

1 marks

Mark scheme: 3 12.3 1

This question in 0580/12 Feb/March 2016

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

2 marks

Mark scheme: 6 157 900 cao 2 B1 for 158 000 or 157 860 or 157 862 to 157 863 If zero scored, SC1 for their answer to more than 4 figs correctly rounded to 4 sf

This question in 0580/11 May/June 2016

14 Calculate. 4 (a) of 90 5 … [1] 7.1 # 4 .8 (b) 15.3 - 9.62 … [1] (c) 3 4913 … [1]

3 marks

Mark scheme: 14 (a) 72 1 (b) 6 1 (c) 17 1

This question in 0580/11 Oct/Nov 2016

5 (a) Put one pair of brackets into this calculation to make it correct. 6 + 12 ÷ 2 × 3 = 8 [1] (b) Work out. 1.17 + 1.28 3.92 … [1]

2 marks

Mark scheme: 5 (a) 6 + 12 ÷ (2 × 3) = 8 1 (b) 0.625 oe 1  15 

This question in 0580/12 Oct/Nov 2016

6 Calculate. 0. 2 2 + 1.7 - 0.9 … [2]

2 marks

Mark scheme: 6 1.5 oe 2 B1 for 2.25 oe

This question in 0580/11 Oct/Nov 2017

15 (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: 15(a) 6.58331… 1 15(b) 6.5833 1 FT their (a) correctly rounded to 4 dp

This question in 0580/11 May/June 2018

4 Calculate. 182 0.5 + 1.75 … [1]

1 marks

Mark scheme: 4 12 1

This question in 0580/13 May/June 2018

9 Calculate. 16.379 - 0.879 # 1.241 4.2 Give your answer correct to 2 significant figures. … [2]

2 marks

Mark scheme: 9 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 0580/11 Oct/Nov 2019

824 (a) Complete the table of values for y = . x x -5 -4 -3 -2 -1 1 2 3 4 5 y -2 -2.7 -4 -8 8 4 2.7 [2] 8 (b) On the grid, draw the graph of y = for - 5 G x G - 1 and 1 G x G 5 . x y 8 7 6 5 4 3 2 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 x -1 -2 -3 -4 -5 -6 -7 -8 [4]

6 marks

Mark scheme: 24(a) –1.6 2 1.6 2 B1 for 2 correct 24(b) Fully correct curve 4 B3FT for 9 or 10 points correctly plotted or B2FT for 7 or 8 points correctly plotted or B1FT for 5 or 6 points correctly plotted

This question in 0580/11 Oct/Nov 2019

5 (a) Tanvi rounds the number 4896. She writes down 4900. Rahul says Tanvi rounded 4896 correct to the nearest 100. Explain why Rahul cannot be certain that Tanvi rounded 4896 correct to the nearest 100. … … [1] (b) Calculate. 6.4 # 42 17.9 - 6.1 Give your answer correct to 3 decimal places. … [2]

3 marks

Mark scheme: 5(a) A correct alternative rounding 1 e.g. Tanvi rounded to nearest 10 5(b) 8.678 2 512 40 M1 for or 859 or 8.68 or 8.67 or 59 8.677…

This question in 0580/12 Feb/March 2021

20 (a) Write 0.00273 in standard form. … [1] (b) Sam has to answer this question. Calculate 9306 # 4532 . Give your answer in standard form correct to 3 significant figures. Sam writes 42.1 # 106 as his answer to this question. What two errors has Sam made? Error 1 … Error 2 … [2]

3 marks

Mark scheme: 20(a) 2.73 × 10–3 cao 1 20(b) 42.1 is incorrectly rounded [to 3 significant 2 B1 for each figures] oe If B0 scored, SC1 for 4.22×107 42.1 × 106 is not correct standard form oe seen

This question in 0580/11 Oct/Nov 2022

14 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: 14(a) 3456 1 14(b) 3 1 0.75 or 4 14(c) 1 1 0.25 or 4

This question in 0580/12 Oct/Nov 2022

8 Calculate. 4.8 15 + 2.2 … [1]

1 marks

Mark scheme: 8 6.05 or 6.054 to 6.055 1

This question in 0580/13 Oct/Nov 2022