Cambridge IGCSE Mathematics 0580 — 2019 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/19 · 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 scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Change 4.6 metres to centimetres
1 Change 4.6 metres to centimetres. .............................................. cm [1]
Mark scheme: Question Answer Marks Partial Marks 1 460 1
Q2 · Write down the order of rotational symmetry of this regular pentagon
2 Write down the order of rotational symmetry of this regular pentagon. .................................................... [1]
Mark scheme: 2 5 1
Q3 · Work out 5% of $25
3 Work out 5% of $25. $ ................................................... [1]
Mark scheme: 3 1.25 1
Q4 · Factorise 5p + pt
4 Factorise 5p + pt. .................................................... [1]
Mark scheme: 4 p(5 + t) final answer 1
Q5 · Rui has a bag containing 5 black pens, 8 red pens and 3 blue pens only
5 Rui has a bag containing 5 black pens, 8 red pens and 3 blue pens only. He takes a pen out of the bag at random. Draw an arrow ( . ) on the probability scale to show the probability that Rui takes (a) a red pen, 0 1 [1] (b) a red pen or a blue pen. 0 1 [1]
Mark scheme: 5(a) 1 1 Arrow at 2 5(b) 11 1 Arrow at 16
Q6 · Write 8473 correct to the nearest ten
6 (a) Write 8473 correct to the nearest ten. .................................................... [1] (b) Write 16.086 correct to 2 decimal places. .................................................... [1]
Mark scheme: 6(a) 8470 cao 1 6(b) 16.09 cao 1
Q7 · Write these in order of size, starting with the smallest
7 Write these in order of size, starting with the smallest. 9 3 37% 0.43 19 7 ................ 1 ................ 1 ................ 1 ................ [2] smallest
Mark scheme: 7 3 9 2 B1 for 3 in correct order as answer 37% 0.43 or M1 for two of 0.47... 0.42... 0.37 7 19
Q8 · The diagram shows the base of a triangle
8 The diagram shows the base of a triangle. The lengths of the other two sides are 6 cm and 4 cm. Using a ruler and compasses only, construct the other two sides of the triangle. Show all your construction arcs. [2]
Mark scheme: 8 Correct triangle with sides 6 cm and 4 cm 2 B1 for correct triangle with no or and correct arcs incorrect arcs or correct arcs with no or inaccurate sides drawn
Question 9
9 Calculate. 16.379 - 0.879 # 1.241 4.2 Give your answer correct to 2 significant figures. .................................................... [2]
Mark scheme: 9 4.6 cao nfww 2 B1 for 4.57 or 4.58 or 4.579 to 4.580 If 0 scored, SC1 for their calculation rounded to 2 sf if more than 2sf seen
Q10 · Share 518 in the ratio 2 : 5
10 Share 518 in the ratio 2 : 5. ......................... , ......................... [2]
Mark scheme: 10 148 370 2 M1 for 518 ÷ (2 + 5)
Q11 · Write 15 060 (a) in words…
11 Write 15 060 (a) in words, ............................................................................................................................................................ [1] (b) in standard form. .................................................... [1]
Mark scheme: 11(a) Fifteen thousand [and] sixty 1 11(b) 1.506[0] × 104 1
Q12 · Simplify 5c - d - 3d - 2 c
12 Simplify 5c - d - 3d - 2 c . .................................................... [2]
Mark scheme: 12 3c – 4d final answer 2 B1 for 3c + kd or kc – 4d
Q13 · Calculate the area of a circle with radius 12 cm
13 Calculate the area of a circle with radius 12 cm. ............................................. cm2 [2]
Mark scheme: 13 452 or 452.3 to 452.4... 2 M1 for 122 × π
Q14 · Levante changes 24 650 Hungarian forints to dollars
14 Levante changes 24 650 Hungarian forints to dollars. The exchange rate is $1 = 290 forints. Calculate how many dollars Levante receives. $ ................................................... [2]
Mark scheme: 14 85 2 M1 for 24650 ÷ 290
Q15 · Paula invests $600 at a rate of r % per year simple interest
15 Paula invests $600 at a rate of r % per year simple interest. At the end of 10 years, the total interest earned is $90. Find the value of r. r = ................................................... [2]
Mark scheme: 15 1.5 2 600 × r × 10 M1 for = 90 oe or better 100
Q16 · 116 Without using a calculator, work out # 1
5 116 Without using a calculator, work out # 1 . 16 7 You must show all your working and give your answer as a fraction in its simplest form. .................................................... [2]
Mark scheme: 16 5 8 M1 × 16 7 5 A1 cao 14
Q17 · Simplify 2x 3 # 3x 2
17 Simplify 2x 3 # 3x 2 . .................................................... [2]
Mark scheme: 17 6x5 final answer 2 B1 for kx5 or 6xk
Question 18
18 Complete the table. Fraction Decimal Percentage 3 = 0.75 = 4 = 0.2 = 20% 2 = = 8% 25 [3]
Mark scheme: 18 75% 3 B1 for each 1 oe fraction 5 [0].08
Q19 · 27 14 8 93 32 55 14 38 73 47 From this list of numbers find (a) the median…
19 27 14 8 93 32 55 14 38 73 47 From this list of numbers find (a) the median, .................................................... [2] (b) the range. .................................................... [1]
Mark scheme: 19(a) 35 2 M1 for first 6 or last 6 values listed in order or for 32 and 38 identified 19(b) 85 1
Q20 · Juan travels from his home to a shop
20 Juan travels from his home to a shop. The travel graph shows his journey. 18 Shop 12 Distance (km) 6 Home 0 13 00 14 00 15 00 16 00 Time (a) Find the distance Juan travels to the shop. .............................................. km [1] (b) Write down what happens at 14 00. .................................................................................... [1] (c) Juan travels home at a constant speed of 15 km/h. He leaves the shop at 15 15. Complete the travel graph. [1]
Mark scheme: 20(a) 15 1 20(b) He stopped or 1 arrived at the shop 20(c) Ruled line from 1 (15 15, 15) to (16 15, 0)
Q21 · NOT TO SCALE x cm 43° 12 cm Use trigonometry to calculate the value of x
21 NOT TO SCALE x cm 43° 12 cm Use trigonometry to calculate the value of x. x = ................................................... [3]
Mark scheme: 21 16.4 or 16.40 to 16.41 3 12 12 M2 for [ x =] or [ x =] cos 43 sin 47 12 or M1 for cos [43][=] or x 12 sin 47 [=] x
Question 22
22 Solve. (a) 8 (w + 11 ) = 120 w = ................................................... [2] x - 2 (b) = 3 3 x = ................................................... [2]
Mark scheme: 22(a) 4 2 M1 for 8w + 8 × 11 = 120 or w + 11 = 120 ÷ 8 22(b) 11 2 x 2 M1 for x – 2 = 3 × 3 oe or = 3 + 3 3 oe or better
Q23 · Solve the simultaneous equations
23 Solve the simultaneous equations. You must show all your working. 5x + 4y = 10 7x - 6y = 43 x = ................................................... y = ................................................... [4]
Mark scheme: 23 Correctly equating one set of coefficients M1 Correct method to eliminate one variable M1 [x =] 4 A1 [y = ] –2.5 oe A1 If 0 scored, SC1 for 2 values satisfying one of the original equations or for 2 correct values
Q24 · 4 (a) Complete the table of values for y =
824 (a) Complete the table of values for y = . x x -5 -4 -3 -2 -1 1 2 3 4 5 y -2 -2.7 -4 -8 8 4 2.7 [2] 8 (b) On the grid, draw the graph of y = for - 5 G x G - 1 and 1 G x G 5 . x y 8 7 6 5 4 3 2 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 x -1 -2 -3 -4 -5 -6 -7 -8 [4]
Mark scheme: 24(a) –1.6 2 1.6 2 B1 for 2 correct 24(b) Fully correct curve 4 B3FT for 9 or 10 points correctly plotted or B2FT for 7 or 8 points correctly plotted or B1FT for 5 or 6 points correctly plotted
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.
2Equations2Fractions, decimals and percentages2Percentages2Ratio and proportion2Averages and range1Circles, arcs and sectors1Geometrical constructions1Graphs of functions1Indices II1Interpreting statistical data1Introduction to probability1Limits of accuracy1Ordering1Right-angled triangles1Symmetry1Types of number1Units of measure1Using a calculator1What you needed in this session
Cambridge’s own grade thresholds for 2019 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.