Cambridge IGCSE Mathematics 0580 — 2016 Feb/March Paper 1 · Variant 2
0580/12/F/M/16 · 24 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write down, in figures, seventeen thousand and seventeen
1 Write down, in figures, seventeen thousand and seventeen. ................................................... [1]
Mark scheme: 1 17 017 1
Q2 · Apples cost $1.12 for each kilogram
2 Apples cost $1.12 for each kilogram. Calculate the cost of 4.5 kilograms of apples. $ ................................................... [1]
Mark scheme: 2 5.04 1
Q3 · Use your calculator to work out 2 8.2 - 52.48
3 Use your calculator to work out 2 8.2 - 52.48 . 7.38 - 6 .18 ................................................... [1]
Mark scheme: 3 12.3 1
Q4 · Find the number of minutes between 17 53 and 7.26 pm
4 Find the number of minutes between 17 53 and 7.26 pm. ............................................min [1]
Mark scheme: 4 93 1
Q5 · A cube has volume 1331 cm3
5 A cube has volume 1331 cm3. Calculate the length of one edge of the cube. ............................................ cm [1]
Mark scheme: 5 11 1
Q6 · Write 6789 correct to the nearest 100
6 (a) Write 6789 correct to the nearest 100. ................................................... [1] (b) Write 6789 correct to 3 significant figures. ................................................... [1]
Mark scheme: 6 (a) 6800 1 (b) 6790 1 3 y − 7 3 y 7
Q7 · Rearrange the formula to make w the subject
7 Rearrange the formula to make w the subject. 5w - 3y + 7 = 0 w = ................................................. [2]
Mark scheme: 3 y 7 3 y 7 7 w = oe 2 M1 for 5w + 7 = 3y or 5w −3 y = −7 or w − + = 0 5 5 5
Q8 · In each part, fill in the missing number to make a correct statement
8 In each part, fill in the missing number to make a correct statement. (a) ^- 6 + 11h # ................ = - 20 [1] 7 ........... (b) = [1] 8 176
Mark scheme: 8 (a) –4 1 (b) 154 1 2
Q9 · Dan either walks or cycles to school
9 Dan either walks or cycles to school. The probability that he cycles to school is 13 . (a) Write down the probability that Dan walks to school. ................................................... [1] (b) There are 198 days in a school year. Work out the expected number of days that Dan cycles to school in a school year. ................................................... [1]
Mark scheme: 2 9 (a) oe 1 3 (b) 66 cao 1 11 11
Q10 · Write the following in order of size, starting with the smallest
10 Write the following in order of size, starting with the smallest. 0.239 .0057 23.85% 1146 .............................. .............................. .............................. .............................. [2] smallest
Mark scheme: 11 11 10 23.85%, 0.057 , 0.239, 2 M1 for 0.057 = 0.2387… and = 0.2391…. 46 46 or for 3 in correct order 8 7 8 k k 7
Question 11
11 Simplify. x 3 y 4 # x 5 y 3 ................................................... [2]
Mark scheme: 11 x8y7 final answer 2 B1 for answer x 8 y k or kx y 7 (k ≠ 0)
Q12 · Write down the value of 170
12 (a) Write down the value of 170. ................................................... [1] (b) Explain why 17 is irrational. .............................................................................................................................................................. [1]
Mark scheme: 12 (a) 1 1 (b) cannot be written as a fraction oe 1 Qu Answer Mark Part marks 5 2 12 4
Q13 · Triangle ABC is similar to triangle PQR
13 Triangle ABC is similar to triangle PQR. Q B NOT TO SCALE 5.2 cm A C P R 12.4 cm 21.7 cm Find PQ. PQ = ............................................ cm [2]
Mark scheme: 5.2 12.4 13 9.1 oe 2 M1 for = oe PQ 21.7 −1
Q14 · Y 4 G 3 2 1 x 0 –4 –3 –2 –1 1 2 3 4 –1 –2 F –3 –4 Points F and G are marked on the grid
14 y 4 G 3 2 1 x 0 –4 –3 –2 –1 1 2 3 4 –1 –2 F –3 –4 Points F and G are marked on the grid. (a) Write FG as a column vector. FG = [1] f p - 5 (b) GH = c- 6m Mark the point H on the grid. [1]
Mark scheme: 1 14 (a) 1 5 (b) H marked at (–3,–3) 1 0 9
Q15 · C NOT TO SCALE 3.5 m B A 0.9 m Calculate angle BAC
15 C NOT TO SCALE 3.5 m B A 0.9 m Calculate angle BAC. Angle BAC = ................................................. [2]
Mark scheme: 0.9 15 75.1 or 75.09 to 75.10 2 M1 for cos [...=] 3.5 [ ]
Q16 · Y 4 l 3 2 1 x –3 –2 –1 0 1 2 3 –1 –2 –3 –4 Write down the equation of line l
16 y 4 l 3 2 1 x –3 –2 –1 0 1 2 3 –1 –2 –3 –4 Write down the equation of line l. Give your answer in the form y = mx + c . y = .................................................. [3]
Mark scheme: 16 y = 3 x − 1 3 M2 for [ y = ] 3 x + c M1 for rise/run If zero scored, SC1 for [ y = ] kx − 1
Q17 · X° NOT TO SCALE 47° Find the value of x
17 (a) x° NOT TO SCALE 47° Find the value of x. x = ................................................. [1] (b) 85° 115° NOT TO SCALE 97° y° Find the value of y. y = .................................................. [2]
Mark scheme: 17 (a) 47 1 (b) 117 2 M1 for 360 − (115 + 85 + 97 ) 35( or 95) 39 35 k ( or 95 k ) 39 k
Q18 · Without using your calculator, work out 1 127 + 1320
18 Without using your calculator, work out 1 127 + 1320 . You must show all your working and give your answer as a mixed number in its simplest form. ................................................... [3]
Mark scheme: 35( or 95) 39 35 k ( or 95 k ) 39 k 18 + M1 accept + 60 60 60 k 60 k 7 67 134 k 74 k 14 k 2 A2 or A1 for or or or 2 30 30 60 k 160 k 60 k
Q19 · 16 19 27 35 36 45 64 For each part of this question, write down one number from the list…
19 16 19 27 35 36 45 64 For each part of this question, write down one number from the list that is (a) a multiple of 7, ................................................... [1] (b) both a square number and a cube number, ................................................... [1] (c) a prime number. ................................................... [1]
Mark scheme: 19 (a) 35 1 (b) 64 1 (c) 19 1
Q20 · 35, 41, 47, 53, 59, … For this sequence, write down (a) the next term…
20 35, 41, 47, 53, 59, … For this sequence, write down (a) the next term, ................................................... [1] (b) the nth term. ................................................... [2]
Mark scheme: 20 (a) 65 1 (b) 6n + 29 oe 2 M1 for 6n + c or kn + 29, k≠0 ( ) ( 2 ) ( )
Question 21
21 (a) Factorise completely. 18x 2 - 24x ................................................... [2] (b) Expand the brackets. x ^3 x - 4h ................................................... [2]
Mark scheme: x (18 x − 24 )21 (a) 6 x ( 3 x − 4 ) final answer 2 M1 for 6( 3 x 2 − 4 x ) or or 2 x ( 9 x − 12 ) or 3 x ( 6 x − 8 ) or 2( 9 x 2 − 12 x ) or 3( 6 x 2 − 8 x ) (b) 3 x 2 − 4 x final answer 2 M1 for 3x 2 − kx or kx 2 − 4 x or correct answer seen and then spoilt Qu Answer Mark Part marks 5 2 5 2
Q22 · Write 2016 as the product of prime factors
22 (a) Write 2016 as the product of prime factors. ................................................... [3] (b) Write 2016 in standard form. ................................................... [1]
Mark scheme: 22 (a) 25 × 32 × 7 oe final answer 3 B2 for product of two of 2 5 , 32 , 7 or B1 for 2, 3 and 7 seen or M1 for 2 × 1008 or 3 × 672 or 7 × 288 soi (b) 2.016 × 103 1
Q23 · 2 5 6 2 8 2 6 3 9 For the numbers in the list, write down (a) the range…
23 2 5 6 2 8 2 6 3 9 For the numbers in the list, write down (a) the range, ................................................... [1] (b) the mode, ................................................... [1] (c) the median. ................................................... [2]
Mark scheme: 23 (a) 7 1 (b) 2 1 (c) 5 2 M1 for correctly ordering at least first 5 or last 5 numbers from list 41 123 [ ]
Q24 · Some children were asked to choose their favourite type of pet
24 Some children were asked to choose their favourite type of pet. The pie chart shows the results. Fish Hamster Cat 123° Rabbit (a) 41 children chose Cat. Work out how many children were asked altogether. ................................................... [2] (b) Work out how many children chose Hamster. ................................................... [2]
Mark scheme: 41 123 24 (a) 120 2 M1 for [ 360 ] oe or 1 23× 41 (b) 25 cao 2 B1 for 75
What was in this paper
The subtopics covered by these 24 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
3Algebraic manipulation2Angles1Averages and range1Equations of linear graphs1Fractions, decimals and percentages1Indices I1Indices II1Introduction to probability1Limits of accuracy1Ordering1Rates1Right-angled triangles1Sequences1Similarity1Statistical charts and diagrams1Surface area and volume1The four operations1Time1Using a calculator1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2016 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.