Cambridge IGCSE Mathematics 0580 — 2013 Oct/Nov Paper 2 · Variant 1
0580/21/O/N/13 · 13 questions · 39 marks · ≈44 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 paper12 pages
Mark scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Work out 72 cents as a percentage of 83 cents
1 Work out 72 cents as a percentage of 83 cents. For Examiner′s Use Answer ........................................... % [1] _____________________________________________________________________________________
Mark scheme: Qu. Answers Mark Part Marks 1 86.7 or 86.74 to 86.75 1
Q2 · 27 - 0 .932 Calculate
5.27 - 0 .932 Calculate . 4 .89 - 4. 07 Give your answer correct to 4 signifi cant fi gures. Answer ............................................... [2] _____________________________________________________________________________________
Mark scheme: 2 5.293 cao 2 B1 for 5.29 or 5.292 to 5.2927
Q3 · NOT TO SCALE 55° p° Find the value of p
3 NOT TO SCALE 55° p° Find the value of p. Answer p = ............................................... [2] _____________________________________________________________________________________
Mark scheme: 3 125 2 B1 for 55 or 125 in any other correct position on diagram or M1 for 180–55
Q4 · Calculate 17.5% of 44 kg
4 Calculate 17.5% of 44 kg. Answer .......................................... kg [2] _____________________________________________________________________________________
Mark scheme: 4 7.7 2 175. M1 for 44 × oe 100
Question 5
5 Solve the equation. For Examiner′s 5 – 2x = 3x – 19 Use Answer x = ............................................... [2] _____________________________________________________________________________________
Mark scheme: 5 4.8 oe 2 M1 for 5 + 19 = 3x + 2x oe or better or B1 for 24 – 2x = 3x oe or 5 = 5x – 19 oe 2
Q6 · S P A C E S One of the 6 letters is taken at random
6 S P A C E S One of the 6 letters is taken at random. (a) Write down the probability that the letter is S. Answer(a) ............................................... [1] (b) The letter is replaced and again a letter is taken at random. This is repeated 600 times. How many times would you expect the letter to be S? Answer(b) ............................................... [1] _____________________________________________________________________________________
Mark scheme: 2 6 (a) oe 1 6 (b) 200 1FT FT 600 × their (a) providing their (a) is a probability
Q7 · The length, p cm, of a car is 440 cm, correct to the nearest 10 cm
7 The length, p cm, of a car is 440 cm, correct to the nearest 10 cm. Complete the statement about p. Answer ....................... Ğ p < ....................... [2] _____________________________________________________________________________________
Mark scheme: 7 435, 445 cao 2 B1 for one value in the correct place or SC1 for both values correct but reversed 20 1. × 100 f
Q8 · Emily invests $x at a rate of 3% per year simple interest
8 Emily invests $x at a rate of 3% per year simple interest. For Examiner′s After 5 years she has $20.10 interest. Use Find the value of x. Answer x = ............................................... [3] _____________________________________________________________________________________
Mark scheme: 20 1. × 100 8 134 3 M2 for oe 3 × 5 x × 3 × 5 or M1 for = 20 1. 100 or 3% = 4.02 oe If 0 scored SC1 for answer of figs 134 n 1
Q9 · Find the nth term in each of the following sequences
9 Find the nth term in each of the following sequences. 1 2 3 4 5 (a) , , , , , ...... 3 4 5 6 7 Answer(a) ............................................... [1] (b) 0, 3, 8, 15, 24, ...... Answer(b) ............................................... [2] _____________________________________________________________________________________
Mark scheme: n 9 (a) oe final answer 1 n + 2 (b) n2–1 oe final answer 2 B1 for any quadratic in final answer 2 2 fi l
Q19 · Convert 144 km/h into metres per second
19 (a) Convert 144 km/h into metres per second. Answer(a) ........................................ m/s [2] (b) A train of length 120 m is travelling at 144 km/h. It passes under a bridge of width 20 m. Find the time taken for the whole train to pass under the bridge. Give your answer in seconds. Answer(b) ............................................. s [2] _____________________________________________________________________________________
Mark scheme: 144 × 1000 19 (a) 40 2 M1 for oe 60 × 60 (b) 3.5 2FT FT 140 ÷ their (a) M1 for dist ÷ their (a) or dist ÷ 40 60 × 60 or dist × 144 × 1000 or B1 for 140 seen
Q20 · For Examiner′s Use C A B (a) In this part, use a straight edge and compasses only and…
20 For Examiner′s Use C A B (a) In this part, use a straight edge and compasses only and show your construction arcs. Construct accurately (i) the bisector of angle B, [2] (ii) the locus of points equidistant from B and from C. [2] (b) Shade the region inside triangle ABC containing the points which are nearer to BC than to BA and nearer to C than to B. [1] _____________________________________________________________________________________
Mark scheme: 20 (a) (i) Accurate bisector of angle B with correct arcs 2 B1 for correct line or correct arcs (ii) Accurate perpendicular bisector of BC with correct arcs 2 B1 for correct line or correct arcs (b) correct region shaded 1 20 f f
Q21 · For Examiner′s C Use NOT TO SCALE D B X A ABCD is a kite
21 For Examiner′s C Use NOT TO SCALE D B X A ABCD is a kite. The diagonals AC and BD intersect at X. AC = 12 cm, BD = 20 cm and DX : XB = 3 : 2 . (a) Calculate angle ABC. Answer(a) Angle ABC = ............................................... [3] (b) Calculate the area of the kite. Answer(b) ........................................ cm2 [2] _____________________________________________________________________________________
Mark scheme: 20 21 (a) 73.7 or 73.73 to 73.74 3 M1 for × 2 or B1 for BX = 8 3 + 2 6 M1 for tan [ ] = or better their 8 (b) 120 2 M1 for 12 × 20 × 12 oe 5
Q22 · For Examiner′s Use R T 15 5 11 19 The Venn diagram shows the number of red cars and the…
22 For Examiner′s Use R T 15 5 11 19 The Venn diagram shows the number of red cars and the number of two-door cars in a car park. There is a total of 50 cars in the car park. R = {red cars} and T = {two-door cars}. (a) A car is chosen at random. Write down the probability that (i) it is red and it is a two-door car, Answer(a)(i) ............................................... [1] (ii) it is not red and it is a two-door car. Answer(a)(ii) ............................................... [1] (b) A two-door car is chosen at random. Write down the probability that it is not red. Answer(b) ............................................... [1] (c) Two cars are chosen at random. Find the probability that they are both red. Answer(c) ............................................... [2] (d) On the Venn diagram, shade the region R ∪ T '. [1] _____________________________________________________________________________________
Mark scheme: 5 22 (a) (i) oe 1 50 11 (ii) oe 1 50 11 (b) oe 1 16 380 20 19 (c) oe 2 M1 for × 2450 50 49 (d) 1
What was in this paper
The subtopics covered by these 13 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.