Cambridge IGCSE Mathematics 0580 — 2008 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/08 · 21 questions · 51 marks · ≈57 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper25 pages
Mark scheme8 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write down a multiple of 4 and 14 which is less than 30
1 Write down a multiple of 4 and 14 which is less than 30. For Examiner's Use Answer [1]
Mark scheme: Qu. Answers Mark Part Marks 1 28 1
Q2 · Write down the order of rotational symmetry of the diagram above
2 Write down the order of rotational symmetry of the diagram above. Answer [1]
Mark scheme: 2 2 1
Q3 · On 1st August the level of water in a lake was −15 metres
3 On 1st August the level of water in a lake was −15 metres. A month later the level was 2 metres higher. 5 Write down the new level of water. 0 –5 –10 –15 Answer m [1]
Mark scheme: 3 −13 1
Q4 · The area of a square is 42.25 cm2
4 The area of a square is 42.25 cm2. Work out the length of one side of the square. Answer cm [1]
Mark scheme: 4 6.5 1
Q5 · Expand the brackets and simplify 5x − 6(3x − 2)
5 Expand the brackets and simplify 5x − 6(3x − 2). Answer [2]
Mark scheme: 5 12 − 13x cao final answer 2 W1 for (+)12 or −13x seen anywhere
Q6 · The scale on a map is 1:250 000
6 The scale on a map is 1:250 000. For A road is 4.6 centimetres long on the map. Examiner's Use Calculate the actual length of the road in kilometres. Answer km [2]
Mark scheme: 6 11.5 2 M1 for 4.6 × figs 25 or W1 for figs 115
Q7 · > = < Choose one of the symbols above to complete each of the following statements
7 > = < Choose one of the symbols above to complete each of the following statements. 5 (a) 74% 7 [1] _3 1 (b) 8 2 [1]
Mark scheme: 7 (a) > 1 (b) = 1
Q8 · Juanita changed $20 into euros when the exchange rate was €1=$1.2685
8 Juanita changed $20 into euros when the exchange rate was €1=$1.2685. How many euros did she receive? Give your answer correct to 2 decimal places. Answer € [2]
Mark scheme: 8 15.77 cao 2 M1 for 20 ÷ 1.2685 or W1 for answers from 15 to 17
Q9 · Solve the equation 5x + 2 = 53
9 Solve the equation 5x + 2 = 53. Answer x = [2]
Mark scheme: 9 1 2 M1 for (53 − 2) ÷ 5 soi (x=) 10.2 or 10 isw 5
Q10 · The length of the River Nile is 6700 kilometres, correct to the nearest hundred kilometres
10 The length of the River Nile is 6700 kilometres, correct to the nearest hundred kilometres. Complete the statement about the length, L kilometres, of the River Nile. Answer Y L I [2]
Mark scheme: 10 6650 ≤ L < 6750 1, 1 1 mark for each value correctly placed. SC1 both correct but reversed
Q11 · For Examiner's City centre 11 15 12 30 13 10 13 40 Use Heatherton 11 25 12 40 13 20 13 50…
11 For Examiner's City centre 11 15 12 30 13 10 13 40 Use Heatherton 11 25 12 40 13 20 13 50 Rykneld 11 29 12 44 13 24 13 54 The table above is part of a bus timetable. (a) The 11 15 bus left the City centre on time and arrived at Rykneld 2 minutes early. How many minutes did it take to reach Rykneld? Answer(a) min [1] (b) Paulo walked to the bus stop at Heatherton and arrived at 12 56. The next bus arrived on time. How many minutes did Paulo wait for the bus? Answer(b) min [1]
Mark scheme: 11 (a) 12 1 (b) 24 1
Q12 · The line with equation y = 2x − k passes through the point (4 , 0)
12 The line with equation y = 2x − k passes through the point (4 , 0). Work out the value of k. Answer k = [2]
Mark scheme: 12 (k=) 8 2 M1 for 0 = 2 × 4 − k or better
Q13 · Write 0.00578 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures…
13 Write 0.00578 (a) in standard form, Answer(a) [1] (b) correct to 2 significant figures, Answer(b) [1] (c) correct to 2 decimal places. Answer(c) [1]
Mark scheme: 13 (a) 5.78 × 10 −3 1 (b) 0.0058 1 Accept 5.8 × 10−3 (c) 0.01 1 Accept 1 × 10−2
Q14 · 3 For14 Without using your calculator, work out ÷ 3
5 3 For14 Without using your calculator, work out ÷ 3 . 8 4 Examiner's Use Give your answer as a fraction in its lowest terms. You must show all your working. Answer [3]
Mark scheme: 14 15 W1 seen 4 5 4 × their M1 Must be inversion of an improper fraction 8 15 5 ' 15 ' ' 20 ' Can be implied by ÷ = . 8 4 120 1 A1 ww no marks 6 IGCSE – October/November 2008 0580 and 0581 11
Q15 · Y 3 l 2 B 1 x –4 –3 –2 –1 0 1 2 3 4 –1 –2 –3 (a) Mark clearly on the diagram the point…
15 y 3 l 2 B 1 x –4 –3 –2 –1 0 1 2 3 4 –1 –2 –3 (a) Mark clearly on the diagram the point with co-ordinates (3, 2) and label it A. [1] (b) Write down the co-ordinates of the point B. Answer(b) ( , ) [1] (c) Find the gradient of the line l. Answer(c) [1]
Mark scheme: 15 (a) Point marked at (3, 2) 1 Missing label not penalised. (b) ( −2, 1) 1 More than 1 point seen, must be labelled (c) 1 1 By eye 2mm −0.5 or − 2
Q16 · Simplify For Examiner's Use 0 1 (a) , p Answer(a) [1] (b) q4 × q7, Answer(b)…
16 Simplify For Examiner's Use 0 1 (a) , p Answer(a) [1] (b) q4 × q7, Answer(b) [1] _3 (c) ( r 2 ) . Answer(c) [1]
Mark scheme: 16 (a) 1 1 (b) q 11 1 (c) −6 1 r or 6 1 r
Q17 · North North NOT TO 168° SCALE A C North 78° B The diagram shows the route of a fishing…
17 North North NOT TO 168° SCALE A C North 78° B The diagram shows the route of a fishing boat. The boat sails from A to B on a bearing 168° and then from B to C on a bearing 078°. AB = BC. (a) Show that angle ABC = 90°. Answer(a) [1] (b) Work out the bearing of C from A. Answer(b) [2]
Mark scheme: 17 (a) 12 seen on diagram at A and B or 180o −168o= 12o. 1 Allow 168o + 12o = 180o only AND 12 + 78 (= 90) Allow 90o − 78o = 12o or 90o −12o = 78o if the first condition is satisfied (b) 123o 2 W1 for angle BAC (or angle BCA) = 45o
Q18 · Calculate the volume of a cylinder of radius 50 cm and height 138 cm
18 (a) Calculate the volume of a cylinder of radius 50 cm and height 138 cm. For Examiner's Use Answer(a) cm3 [2] (b) Write your answer to part (a) in cubic metres. Answer(b) m3 [1]
Mark scheme: 18 (a) 1083300 to 1084000 or 2 M1 for π × 50 2 × 138 or π × 0.52 × 1.38 1080000 or 1083000 Final answer (b) Their (a) ÷ 10 6 evaluated 1ft
Q19 · 14 cm NOT TO SCALE 6 cm 10 cm 22 cm For the shape above, work out (a) the perimeter…
19 14 cm NOT TO SCALE 6 cm 10 cm 22 cm For the shape above, work out (a) the perimeter, Answer(a) cm [2] (b) the area. Answer(b) cm2 [2]
Mark scheme: 19 (a) 64 2 M1 for 2 × (10 + 22) or 22 + 10 + 14 + 6 + (22 – 14) + (10 – 6) (b) 172 2ft M1 for (22 × 10) − 6 × ‘8’ or (140 × 10) + ‘8’ × ‘4’ or 14 × 6 + 22 × ‘4’
Q20 · 85% of the seeds in a packet will produce red flowers
20 (a) 85% of the seeds in a packet will produce red flowers. For One seed is chosen at random. Examiner's Use What is the probability that it will not produce a red flower? Answer(a) [1] (b) A box of 15 pencils contains 5 red, 4 yellow and 6 blue pencils. One pencil is chosen at random from the box. Find the probability that it is (i) yellow, Answer(b)(i) [1] (ii) yellow or blue, Answer(b)(ii) [1] (iii) green. Answer(b)(iii) [1]
Mark scheme: 20 (a) 15(%) or 0.15 or 10015 oe 1 isw for change of form or cancelling only in all 4 parts. Not ratio. (b) (i) oe cao 1 Allow 0.267 or 0.266(6….) or % form 15 Minimum 3 significant figures 10 (ii) oe cao 1 Allow 0.667 or 0.666(6…) or % form 15 Minimum 3 significant figures Consistent use of wrong denominator in all of (b), −1 once. 0 (iii) 0 or cao 1 Allow nil, none or zero only. No other 15 denominator allowed.
Q21 · A cm 12 NOT TO SCALE B 68° D 8cm C 10 cm E In the diagram BC is parallel to DE
21 A cm 12 NOT TO SCALE B 68° D 8cm C 10 cm E In the diagram BC is parallel to DE. (a) Complete the following statement. Triangle ABC is to triangle ADE. [1] (b) AB = 12 cm, BC = 8 cm and DE = 10 cm. Calculate the length of AD. Answer(b) cm [2] (c) Angle ABC = 68°. Calculate the size of the reflex angle at D. Answer(c) [2]
Mark scheme: 21 (a) Similar 1 (b) 15 2 M1 for 10 ÷ 8 × 12 or equivalent method (c) 292 2 M1 for 360 − 68
What was in this paper
The subtopics covered by these 21 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.