Cambridge IGCSE Mathematics 0580 — 2014 May/June Paper 1 · Variant 1

1 Work out. 10 – 3 × 2 Answer ................................................ [1] __________________________________________________________________________________________

Mark scheme: 1 4 1

More questions on The four operations

2 Write down the prime numbers between 20 and 30. Answer ................................................ [1] __________________________________________________________________________________________

Mark scheme: 2 23 29 1

More questions on Types of number

3 NOT TO SCALE x° 59° 163° (a) Find the value of x. Answer(a) x = ................................................ [1] (b) One of the angles is 163°. What type of angle is this? Answer(b) ................................................ [1] __________________________________________________________________________________________

Mark scheme: 3 (a) 138 1 (b) Obtuse 1

More questions on Angles

4 A city has a population of fi ve hundred and six thousand. Write the size of the population (a) in fi gures, Answer(a) ................................................ [1] (b) in standard form. Answer(b) ................................................ [1] __________________________________________________________________________________________

Mark scheme: 4 (a) 506 000 1 (b) 5.06 × 105 1FT Follow through their part (a) 5× 2

More questions on Standard form

4.8 # 1.98276 5 p = 16.83 (a) In the spaces provided, write each number in this calculation correct to 1 signifi cant fi gure. Answer(a) ............ × ............ ............ [1] (b) Use your answer to part (a) to estimate the value of p. Answer(b) ................................................ [1] __________________________________________________________________________________________

Mark scheme: 5× 2 5 (a) 1 20 1 (b) 0.5 or cao 1 2 n

More questions on Limits of accuracy

6 Solve the equation. n - 8 = 11 2 Answer n = ................................................ [2] __________________________________________________________________________________________

Mark scheme: n 6 30 2 M1 for n – 8 = 22 or = 15 2  6 

More questions on Equations

4 - 1 7 a = b = e- 3 o e 5 o Work out a – 2b. Answer [2] f p__________________________________________________________________________________________

Mark scheme:   7   2 B1 for each component −13  − 2   2  or for   or   seen  10   −10 

More questions on Vectors in two dimensions

8 The width, w cm, of a carpet is 455 cm, correct to the nearest centimetre. Complete the statement about the value of w. Answer ............................ Ğ w < ............................ [2] __________________________________________________________________________________________

Mark scheme: 8 454.5 455.5 1, 1 SC1 for both correct but reversed 1 2 36 18

More questions on Limits of accuracy

2 x 2 9 y = 2 + x 2 Find the value of y when x = 6. Give your answer as a mixed number in its simplest form. Answer y = ................................................ [2] __________________________________________________________________________________________

Mark scheme: 1 2 36 9 18 2 M1 for + or better 18 36 2 3 1

More questions on Fractions, decimals and percentages

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

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

More questions on Using a calculator

11 The diagram shows a cuboid. NOT TO SCALE 15 cm h 8 cm The volume of this cuboid is 720 cm3. The width is 8 cm and the length is 15 cm. Calculate h, the height of the cuboid. Answer h = .......................................... cm [2] __________________________________________________________________________________________

Mark scheme: 11 6 2 M1 for 720 = 8 × 15 × h or better IGCSE – May/June 2014 0580 11

More questions on Surface area and volume

12 The scatter diagram shows the rainfall and the average temperature in a city for the month of June, over a period of 10 years. 30 25 20 Temperature (°C) 15 10 5 0 5 10 15 20 25 30 Rainfall (cm) (a) What type of correlation does this scatter diagram show? Answer(a) ................................................ [1] (b) Describe the relationship between the rainfall and the average temperature. Answer(b) ........................................................................................................................................... ............................................................................................................................................................. [1] __________________________________________________________________________________________

Mark scheme: 12 (a) Negative 1 (b) More rain [suggests] lower temperature oe 1

More questions on Scatter diagrams

13 The graph can be used to convert between miles and kilometres. 80 70 60 50 Kilometres 40 30 20 10 0 10 20 30 40 50 Miles A train travels 24 miles in 20 minutes. Find its average speed in kilometres per hour. Answer ....................................... km/h [2] __________________________________________________________________________________________

Mark scheme: 13 114 to 117 2 B1 for 38 to 39 seen or 72 [mph]

More questions on Rates

14 A E b° a° NOT TO SCALE 127° D C B The diagram shows an isosceles triangle ABC. DCB is a straight line and is parallel to AE. Angle DCA = 127°. Find the value of (a) a, Answer(a) a = ................................................ [2] (b) b. Answer(b) b = ................................................ [1] __________________________________________________________________________________________

Mark scheme: 14 (a) 74 2 M1 Angle B = 180 – 127 (b) 53 1FT 127 – their part (a)

More questions on Angles

15 Carlo changed 800 euros (€) into dollars for his holiday when the exchange rate was €1 = $1.50 . His holiday was then cancelled. He changed all his dollars back into euros and he received €750. Find the new exchange rate. Answer €1 = $ ................................................. [3] __________________________________________________________________________________________

Mark scheme: 15 1.6[0] 3 M1 for 800 × 1.5 and M1 for their 1200 ÷ 750 10

More questions on Ratio and proportion

16 (a) Simplify the expressions. (i) p 3 × p 7 Answer(a)(i) ................................................ [1] (ii) t 5 ÷ t 8 Answer(a)(ii) ................................................ [1] k (b) (h3) = h12 Find the value of k. Answer(b) k = ................................................ [1] __________________________________________________________________________________________

Mark scheme: 16 (a) (i) p10 1 1 (ii) t−3 or 3 1 t (b) 4 1

More questions on Indices I

17 Q NOT TO 17 cm SCALE 9 cm P R O The diagram shows a circle, centre O. P, Q and R are points on the circumference. PQ = 17 cm and QR = 9 cm. (a) Explain why angle PQR is 90°. Answer(a) ........................................................................................................................................... ............................................................................................................................................................. [1] (b) Calculate the length PR. Answer(b) PR = .......................................... cm [2] __________________________________________________________________________________________

Mark scheme: 17 (a) Angle [in a] semi-circle 1 (b) 19.2 or 19.23 to 19.24 2 M1 for 172 + 92 16 21 8 25

More questions on Pythagoras’ theorem

18 In this question, do not use your calculator and show all the steps in your working. 1 5 23 (a) Show that 3 – 2 = . 5 8 40 Answer(a) [2] 7 23 (b) Work out ÷ . 8 40 Give your answer as a mixed number in its simplest form. Answer(b) ................................................ [2] __________________________________________________________________________________________

Mark scheme: 16 21 8 25 18 (a) and oe and oe M1 5 8 40 40 40 8 25 128 105 + − − oe 40 40 40 M1 40 40 oe or 8 × their 16 5 × their 21 − 40 40 oe with numerators evaluated 7 40 (b) × oe M1 8 23 12 1 cao A1 23

More questions on Fractions, decimals and percentages

19 The table shows the average monthly temperature (°C) for Fairbanks, Alaska. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temperature (°C) –23.4 –19.8 –11.7 –0.8 9.2 15.4 16.9 13.8 7.5 –5.8 –21.4 –21.8 (a) Find (i) the difference between the highest and the lowest temperatures, Answer(a)(i) ........................................... °C [1] (ii) the median. Answer(a)(ii) ........................................... °C [2] (b) A month is chosen at random from the table. Find the probability that its average temperature is below zero. Answer(b) ................................................ [1] __________________________________________________________________________________________

Mark scheme: 19 (a) (i) 40.3 1 (ii) −3.3 2 M1 for attempt at ordering seen 7 (b) oe isw 1 12 IGCSE – May/June 2014 0580 11

More questions on Averages and range

20 A bus company in Dubai has the following operating times. Starting Finishing Day time time Saturday 06 00 24 00 Sunday 06 00 24 00 Monday 06 00 24 00 Tuesday 06 00 24 00 Wednesday 06 00 24 00 Thursday 06 00 24 00 Friday 13 00 24 00 (a) Calculate the total number of hours that the bus company operates in one week. Answer(a) ............................................. h [3] (b) Write the starting time on Friday in the 12-hour clock. Answer(b) ................................................ [1] __________________________________________________________________________________________

Mark scheme: 20 (a) 119 3 M2 for 18 × 6 + 11 oe or B1 for 18 or 11 or 108 (b) [0]1 [00] pm cao 1 2

More questions on Time

21 The diagram shows a circle inside a square. The circumference of the circle touches all four sides of the square. (a) Calculate the area of the circle when the side of the square is 15 cm. Answer(a) ......................................... cm2 [2] (b) Draw all the lines of symmetry on the diagram. [2] __________________________________________________________________________________________ Question 22 is printed on the next page.

Mark scheme: 21 (a) 177 or 176.7 to 176.74 2 M1 for π × 7.52 (b) 4 correct lines of symmetry drawn 2 B1 for 2 correct and no extra lines 27

More questions on Circles, arcs and sectors

22 North NOT TO SCALE 27 m B A 34 m C In the diagram, B is 27 metres due east of A. C is 34 metres from A and due south of B. (a) Using trigonometry, calculate angle ACB. Answer(a) Angle ACB = ................................................ [2] (b) Find the bearing of C from A. Answer(b) ................................................ [2]

Mark scheme: 27 22 (a) 52.6 2 M1 for sin [ ] = 34 (b) 127 or 127.4[…] 2FT 180 – their part (a) B1 for [BAC =] 90 − their part (a)

More questions on Non-right-angled triangles