Question 11 mark
Question
Simplify 5t + 4t - 2t . …… [1]
Mark scheme
1 7t 1
Mathematics 0580/12 October/November 2019: question paper and mark scheme
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_120580_w19_ms_120580/12/O/N/19
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/12/O/N/19
0580/12 mark scheme, question by question
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 21 mark
Question
The lowest temperature recorded at Scott Base in Antarctica is -57.0 °C. The highest temperature recorded at Scott Base is 63.8 °C more than this. What is the highest temperature recorded at Scott Base? …… °C [1]
Mark scheme
2 6.8 1
Question 31 mark
Question
North A North B Measure the bearing of B from A. …… [1]
Mark scheme
3 113° 1
Question 42 marks
Question
Find the value of (a) 242, …… [1] 3 (b) 2197 . …… [1]
Mark scheme
4(a) 576 1 4(b) 13 1
Question 52 marks
Question
A bag contains 3 green balls, 4 red balls and 1 blue ball only. Matt takes a ball from the bag at random. Some probabilities are marked on the probability scale. A B C D E F G H I 0 0.5 1 Write down the letter that shows the probability that (a) Matt takes a red ball, …… [1] (b) Matt does not take a blue ball. …… [1]
Mark scheme
5(a) E cao 1 5(b) H cao 1
Question 62 marks
Question
Sara walks from home to school. The travel graph shows her journey. 3 School 2 Distance (km) 1 Home 0 08 00 08 10 08 20 08 30 08 40 08 50 09 00 Time (a) Sara stops at a shop on her way to school. Find the distance of the shop from her home. …… km [1] (b) School starts at 08 55. Find the number of minutes between the time Sara arrives at school and the time school starts. …… min [1]
Mark scheme
6(a) 1.2 1 6(b) 10 1
Question 72 marks
Question
Write these in order of size, starting with the smallest. 7 5 0.8 78% 8 7 …… 1 …… 1 …… 1 …… [2] smallest
Mark scheme
7 5 7 2 B1 for three in correct order 78% 0.8 or M1 for two of 0.875, 0.71[4…] and 7 8 0.78
Question 82 marks
Question
The table shows how children in Ivan’s class travel to school. Travel to school Number of children Walk 12 Car 7 Bicycle 9 Bus 4 Ivan wants to draw a pie chart to show this information. Find the sector angle for children who walk to school. …… [2]
Mark scheme
8 135 2 12 M1 for [×360] 12 + 7 + 9 + 4 360 or [×12] oe 12 + 7 + 9 + 4
Question 92 marks
Question
Rashid changes 30 000 rupees to dollars when the exchange rate is $1 = 68.14 rupees. How many dollars does he receive? $ …… [2]
Mark scheme
9 440 or 440.2 to 440.3 2 M1 for 30 000 ÷ 68.14
Question 102 marks
Question
Complete the statements. 3.5 kg = …… g 1.4 m2 = …… cm2 [2]
Mark scheme
10 3500 2 B1 for each 14 000
Question 112 marks
Question
Kiran leaves home at 9.45 am. She drives 135 km to visit a friend. She arrives at her friend’s house at 11.15 am. Work out her average speed in km/h. …… km/h [2]
Mark scheme
11 90 2 M1 for 135 ÷ their time
Question 122 marks
Question
The scatter diagram shows the age and value of each of ten cars, all of the same model. 14 000 12 000 10 000 8000 Value ($) 6000 4000 2000 0 0 2 4 6 8 10 12 Age (years) By drawing a line of best fit, estimate the value of a car that is 6 years old. $ …… [2]
Mark scheme
12 Ruled line of best fit B1 6400 to 7400 B1 FT their straight line of best fit with negative gradient if answer is not in range
Question 132 marks
Question
Find the value of (a) 60 + 62, …… [1] (b) 5-4. …… [1]
Mark scheme
13(a) 37 1 13(b) 1 1 [0].0016 or 1.6 × 10–3 or 625
Question 143 marks
Question
(a) Shade two more small squares to give a pattern with exactly one line of symmetry. [1] (b) Complete the description of this pattern. The pattern has …… lines of symmetry and order of rotational symmetry …… [2]
Mark scheme
14(a) • 1 • • or • 14(b) 2 2 B1 for each 2
Question 153 marks
Question
These are the number of texts sent one day by each of 10 students. 18 13 15 8 9 17 12 8 6 14 (a) Write down the mode. …… [1] (b) Calculate the mean. …… [2]
Mark scheme
15(a) 8 1 15(b) 12 nfww 2 M1 for (18 + 13 + 15 + 8 + 9 + 17 + 12 + 8 + 6 + 14) ÷ 10 or for 120 ÷ 10
Question 163 marks
Question
NOT TO SCALE 4 cm 12 cm 15 cm The diagram shows a cuboid measuring 15 cm by 12 cm by 4 cm. Calculate the surface area of the cuboid. …… cm2 [3] 5 2
Mark scheme
16 576 3 M2 for [2 ×] (15 × 4 + 12 × 4 + 12 × 15) oe or M1 for one correct area, 15 × 4 or 12 × 4 or 12 × 15
Question 173 marks
Question
Without using a calculator, work out 3 - 1 . 8 3 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
17 29 5 5 2 M1 29k 5k or 2 − Allow or 8 3 8 3 8k 3k Correct step for dealing with mixed numbers 87 40 15 16 M1 Correct method to find common and [ 2] and 15 16 24 24 24 24 denominator e.g. 3 and 1 24 24 23 A1 1 cao 24
Question 183 marks
Question
Javier invests $750 for 3 years at a rate of 1.8% per year compound interest. Calculate the value of his investment at the end of the 3 years. $ …… [3]
Mark scheme
18 791 or 791.2…. nfww 3 1.8 3 M2 for 750 × 1 + oe 100 2 1 .8 or M1 for 750 × 1 + oe 100
Question 193 marks
Question
NOT TO 8.5 cm SCALE 3.9 cm x cm The diagram shows a right-angled triangle. Calculate the value of x. x = …… [3]
Mark scheme
19 7.55 or 7.552… 3 M2 for 8.52 − 3.92 oe or M1 for 8.52 = 3.92 + x2 oe
Question 203 marks
Question
The line L is shown on the grid. y 5 L 4 3 2 1 –4 –3 –2 –1 0 1 2 3 4 x –1 –2 –3 –4 –5 (a) Find the gradient of the line L. …… [2] (b) Find the equation of the line L in the form y = mx + c . y = …… [1]
Mark scheme
20(a) 1.5 oe nfww 2 rise 9 y − y1 M1 for , e.g. or 2 for 2 run 6 x2 − x1 points on the line 20(b) 1.5x + 1 1 FT their 1.5
Question 214 marks
Question
A B C D E F G H The diagram shows some quadrilaterals. Complete the statements. (a) Quadrilateral …… is a rhombus. [1] (b) Quadrilateral A is a …… [1] (c) Quadrilaterals …… and …… are congruent. [1] (d) Quadrilaterals …… and …… are similar. [1]
Mark scheme
21(a) C 1 21(b) Trapezium 1 21(c) B and G 1 Both correct 21(d) D and F or B and G 1 Both correct
Question 224 marks
Question
Esme buys x magazines at $2.45 each and y cards at $3.15 each. (a) Write down an expression, in terms of x and y, for the total cost, in dollars, of the magazines and the cards. $ …… [2] (b) Esme spends $60.55 in total. She buys 8 magazines. How many cards does she buy? …… [2] Question 23 is printed on the next page.
Mark scheme
22(a) 2.45x + 3.15y final answer 2 B1 for one correct term in final answer If 0 scored, SC1 for 245x + 315y 22(b) 13 2 M1 for 60.55 – 2.45 × 8 oe
Question 234 marks
Question
The diagram shows a scale drawing of Lei’s garden, PQRS. The scale is 1 centimetre represents 2 metres. P Q S R Scale: 1 cm to 2 m Lei has a bird table in the garden that is • equidistant from PQ and QR and • 13 m from R. On the diagram, construct the position of the bird table. Use a ruler and compasses only and show all your construction arcs. [4]
Mark scheme
23 Bisector of angle Q accurate with two 4 M2 for bisector of angle Q accurate with pairs of correct arcs two pairs of correct arcs or M1 for accurate bisector with no/wrong and arcs Arc centre R, radius 6.5 cm M2 for arc centre R, radius 6.5 cm or M1 for arc centre R With bird table correctly indicated or implied by correct intersecting Maximum 3 marks if constructions incorrect position/region is labelled, or there is no label and a region is shaded, or their constructions do not intersect
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0580/12 questions
Where can I find the 0580/12 October/November 2019 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, October/November 2019 (0580_w19_ms_12), and the question paper (0580_w19_qp_12), to read or download, with each question's marking points written out underneath.
How many marks is 0580/12 out of?
Mathematics 0580/12 for October/November 2019 is out of 56 marks, with 1 hour to answer it.
Can I get my 0580/12 answers marked?
Yes. Upload your answers to 0580/12/O/N/19 as a PDF or photos, and CIE Buddy marks every question against this paper's official mark scheme, using Cambridge's marking rules. You get your score, each lost mark explained on your own script, and the topics to revise. It's a guide, not an official Cambridge grade.