Question 11 mark
Question
Change 4.6 metres to centimetres. …… cm [1]
Mark scheme
1 460 1
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Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2019. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w19_qp_110580_w19_ms_110580/11/O/N/19
Each question as it's printed, and the mark scheme's points for it, as text. Diagrams, tables and graphs are in the PDFs above.
Question
Change 4.6 metres to centimetres. …… cm [1]
Mark scheme
1 460 1
Question
Write down the order of rotational symmetry of this regular pentagon. …… [1]
Mark scheme
2 5 1
Question
Work out 5% of $25. $ …… [1]
Mark scheme
3 1.25 1
Question
Factorise 5p + pt. …… [1]
Mark scheme
4 p(5 + t) final answer 1
Question
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
Question
(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
Question
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
Question
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
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
Question
Share 518 in the ratio 2 : 5. …… , …… [2]
Mark scheme
10 148 370 2 M1 for 518 ÷ (2 + 5)
Question
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
Question
Simplify 5c - d - 3d - 2c . …… [2]
Mark scheme
12 3c – 4d final answer 2 B1 for 3c + kd or kc – 4d
Question
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
Question
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
Question
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] 5 1
Mark scheme
15 1.5 2 600 × r × 10 M1 for = 90 oe or better 100
Question
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
Question
Simplify 2x 3 # 3x 2 . …… [2]
Mark scheme
17 6x5 final answer 2 B1 for kx5 or 6xk
Question
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
Question
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
Question
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)
Question
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
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
Question
Solve the simultaneous equations. You must show all your working. 5x + 4y = 10 7x - 6y = 43 x = …… y = …… [4] 8
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
Question
(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
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Mathematics 0580/11 for October/November 2019 is out of 56 marks, with 1 hour to answer it.
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