Cambridge IGCSE Mathematics 0580 — 2016 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/16 · 17 questions · 56 marks · ≈63 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 scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write 30 000 000 in words
1 Write 30 000 000 in words. .....................................................................[1]
Mark scheme: Question Answer Mark Part marks 1 Thirty million[s] 1
Q2 · Write down the temperature which is 5 °C below –2 °C
2 Write down the temperature which is 5 °C below –2 °C. ......................................... °C [1]
Mark scheme: 2 −7 1
Q3 · Write $0.70 as a fraction of $5.60, giving your answer in its lowest terms
3 Write $0.70 as a fraction of $5.60, giving your answer in its lowest terms. .................................................[1]
Mark scheme: 3 1 1 cao 8
Q4 · Write 0.040 190 7 correct to (a) 3 significant figures…
4 Write 0.040 190 7 correct to (a) 3 significant figures, .................................................[1] (b) 3 decimal places. .................................................[1]
Mark scheme: 4 (a) [0].0402 1 (b) [0].040 1
Q5 · In triangle ABC, AB = 7 cm, BC = 4 cm and AC = 6 cm
5 In triangle ABC, AB = 7 cm, BC = 4 cm and AC = 6 cm. Using a ruler and compasses only, construct triangle ABC. The side BC has been drawn for you. B C [2]
Mark scheme: 5 Fully correct triangle 2 B1 for correct triangle without arcs with correct arcs or for correct position of arcs If zero scored, SC1 for fully correct reversed triangle with arcs ie AB = 6 cm and AC = 7 cm or for triangle with only one of AB or AC correct length with suitable arcs 18 7
Q6 · Write the following in order of size, smallest first
6 Write the following in order of size, smallest first. 7 18 0.33 58% 0 .59 12 31 .......................... 1 .......................... 1 .......................... 1 .......................... 1 .......................... [2] smallest
Mark scheme: 76 0.33,58%, 18, ,0.59 2 B1 for 4 in correct order 31 12 or M1 for 3 of the following or better 0.583.., 0.574.., 0.58, 0.5806.. or 58.5%, 57.4%, 58.06%, 59% 12
Q7 · - 2 7 a = b = c - 6 m c 4 m Work out 2a – b
5 - 2 7 a = b = c - 6 m c 4 m Work out 2a – b. [2] f p
Mark scheme: 7 2 B1 for one correct component −16 10 or for seen −12 8 3
Q8 · 18 Work out - , giving your answer as a fraction in its lowest terms
2 18 Work out - , giving your answer as a fraction in its lowest terms. 3 4 Do not use a calculator and show all the steps of your working. ................................................. [2]
Mark scheme: 8 3 8 and oe M1 Correct fractions with common denominator 12 12 5 cao A1 12
Q9 · A circular pool has radius 8 m
9 A circular pool has radius 8 m. Calculate the circumference of the pool. ........................................... m [2]
Mark scheme: 9 50.3 or 50.26 to 50.272 2 M1 for 2 × π × 8 oe
Q10 · 0 of an amount is 48
210 of an amount is 48. 9 Calculate the original amount. ................................................. [2]
Mark scheme: 10 216 2 M1 for 48 ÷ 2 [ × 9 ]
Q11 · E L E P H A N T Francesca chooses a letter at random from this word
11 E L E P H A N T Francesca chooses a letter at random from this word. (a) Write down the letter she is most likely to choose. ................................................. [1] (b) Write down the probability that she chooses the letter R. ................................................. [1]
Mark scheme: 11 (a) E 1 (b) 0 or zero 1
Q12 · Write down the type of correlation there is between (a) the number of litres of fuel used…
12 Write down the type of correlation there is between (a) the number of litres of fuel used by a car and the distance it travels, ................................................. [1] (b) the test score of a student and their shoe size. ................................................. [1]
Mark scheme: 12 (a) Positive 1 (b) Zero oe 1
Q13 · Eleven children attempt to solve a puzzle
13 Eleven children attempt to solve a puzzle. This list shows the number of attempts each child made. 7 6 8 5 6 5 7 8 3 8 1 (a) Write down the mode. ................................................. [1] (b) Find the median. ................................................. [2]
Mark scheme: 13 (a) 8 1 (b) 6 2 M1 for ordered list of at least the first 6 or last 6 values provided any following work is an attempt at the median
Question 14
14 Calculate. 4 (a) of 90 5 ................................................. [1] 7.1 # 4 .8 (b) 15.3 - 9.62 ................................................. [1] (c) 3 4913 ................................................. [1]
Mark scheme: 14 (a) 72 1 (b) 6 1 (c) 17 1
Q15 · Solve the simultaneous equations
15 Solve the simultaneous equations. You must show all your working. 2x + 3y = 13 x + 2y = 9 x = ................................................ y = ................................................ [3]
Mark scheme: 15 Correctly eliminating one variable M1 [x =] −1 and A1 If zero scored, SC1 for 2 values that satisfy one of the original [y = ] 5 A1 equations or SC1 if no working shown, but 2 correct answers given Page 4 Mark Sccheme Syllabuss Paper Cambridge IGCSE – Occtober/November 2016 0580 11
Q20 · Y 6 5 A 4 3 2 1 x –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –1 –2 B –3 –4 –5 –6 (a) Write down the…
20 y 6 5 A 4 3 2 1 x –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –1 –2 B –3 –4 –5 –6 (a) Write down the co-ordinates of point A. ( .......................... , .......................... ) [1] (b) Plot the point (5, –2). Label this point C. [1] (c) Write down the mathematical name of triangle ABC. ................................................. [1] (d) Write AB as a column vector. AB = [1] f p - 2 (e) BD = c 5m Write down the co-ordinates of point D. ( .......................... , .......................... ) [1]
Mark scheme: 20 (a) (1, 4) 1 (b) Point plotted at ( 5, −2) 1 (c) Isosceles 1FT Strict FT of their (b) −4 (d) 1 −6 (e) (−5, 3) 1
Question 21
21 (a) Solve the equation. 4x + 3 = 11 x = ................................................ [2] (b) Make x the subject of the formula y = 4x2 – 2. x = ................................................ [3]
Mark scheme: 21 (a) 2 2 M1 for one correct step 3 11 e.g. 4x = 11 – 3 or x + = 4 4 or better y + 2 (b) [x = ] or ( y + 2 ) /4 3 M1 for one correct step 4 y 2 y + 2 e.g. y + 2 = 4x2 or = x2 − or oe final answer 4 4 2 M1 for a further correct step y + 2 2 y 2 e.g. = x or + = x2 4 4 4
What was in this paper
The subtopics covered by these 17 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2016 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.