Question 11 mark
Question
E B C A D Write down the letter of the shape that is congruent to the shaded shape. …… [1]
Mark scheme
1 D 1
Mathematics 0580/13 October/November 2023: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2023. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w23_qp_130580_w23_ms_130580/13/O/N/23
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/13/O/N/23
0580/13 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 24 marks
Question
Write down (a) all the factors of 32 …… [2] 1 (b) the reciprocal of 8 …… [1] (c) the value of the 7 in the number 473 285. …… [1]
Mark scheme
2(a) 1, 2, 4, 8, 16, 32 2 B1 for 4 or 5 correct and no extras or 6 correct and one extra 2(b) 8 1 2(c) 70 000 1
Question 32 marks
Question
Draw the lines of symmetry on this rhombus. [2]
Mark scheme
3 2 correct lines of symmetry 2 B1 for 1 correct line and no incorrect lines or 2 correct lines and 1 incorrect line
Question 42 marks
Question
61 63 64 66 68 69 From this list, write down (a) a cube number …… [1] (b) a prime number. …… [1]
Mark scheme
4(a) 64 1 4(b) 61 1
Question 51 mark
Question
Tara goes on a journey by train. The train leaves at 06 48. The journey takes 12 hours and 35 minutes. Find the time when Tara arrives. …… [1]
Mark scheme
5 19 23 or 7 23 pm 1
Question 63 marks
Question
Jamie records the masses of two samples of oranges, type A and type B. The stem-and-leaf diagram shows the mass, in grams, of each of 30 oranges of type A. 17 6 8 8 9 18 0 1 2 2 4 7 19 1 2 2 3 6 7 8 20 0 2 5 5 5 6 7 7 8 21 1 5 6 8 Key: 17 6 represents 176 grams (a) Complete the table to show the range for type A oranges. Type A Type B Mean (g) 195.7 215.8 Range (g) 35 [1] (b) Use the information in the table to write down two comments comparing the masses of type A oranges with the masses of type B oranges. 1. …… 2. …… [2]
Mark scheme
6(a) 42 1 6(b) Type A [masses] lighter on average 2 B1 for each oe Type A [masses] more varied/less strict FT their range in part (a) consistent oe
Question 73 marks
Question
In triangle LMN, LN = 7.5 cm and MN = 8 cm. (a) Using a ruler and compasses only, construct triangle LMN. Leave in your construction arcs. The line LM has been drawn for you. M L [2] (b) Write down the mathematical name for this type of triangle. …… [1]
Mark scheme
7(a) Correct construction 2 B1 for accurate triangle with incorrect or no arcs or for 2 correct arcs If 0 scored, SC1 for accurate triangle with arcs but lines interchanged 7(b) Scalene 1
Question 82 marks
Question
The surface area of a cube is 73.5 cm 2 . Find the length of one side of the cube. …… cm [2]
Mark scheme
8 3.5 2 73.5 M1 for or better 6
Question 92 marks
Question
NOT TO SCALE x° x° The diagram shows an equilateral triangle. Find the value of x. x = …… [2] 4 -6 13
Mark scheme
9 150 2 M1 for 360 – 60
Question 102 marks
Question
a=e o b =e o c=e o 9 1 -2 Work out. (a) a + b f p [1] (b) 3c f p [1]
Mark scheme
10(a) −2 1 10 10(b) 39 1 −6
Question 112 marks
Question
Factorise completely. 15v 2 - 3v …… [2]
Mark scheme
11 3v(5v – 1) final answer 2 B1 for 3(5v2 – v) or v(15v – 3) as final answer or 3v(5v – 1) seen and spoilt
Question 123 marks
Question
Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school. Bus Walk Car Other Probability 0.4 0.32 0.17 (a) Complete the table. [2] (b) There are 1800 students at the school. Find the expected number of students that walk to school. …… [1] 5 11
Mark scheme
12(a) 0.11 oe 2 M1 for 1 – (0.4 + 0.32 + 0.17) oe 12(b) 576 1
Question 133 marks
Question
Without using a calculator, work out 1 ' . 6 15 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
13 11 15 55k 22k M2 11 × or ÷ oe with B1 for oe 6 11 30k 30k 6 common denominator their 11 15 or M1 for × 6 11 1 A1 2 cao 2
Question 143 marks
Question
B NOT TO 112° SCALE 44° C M A The diagram shows triangle ABC. M is the midpoint of AC. Triangle ABC is rotated 180° about centre M. The image and the original triangle together form a quadrilateral ABCD. (a) Write down the mathematical name of the quadrilateral ABCD. …… [1] (b) Find angle BAD. Angle BAD = …… [2]
Mark scheme
14(a) Parallelogram 1 14(b) 68 2 M1 for 180 – 112 or for 180 – 112 – 44 oe
Question 152 marks
Question
Shubhu invests $750 in a savings account for 5 years. The account pays simple interest at a rate of 1.8% per year. Calculate the total interest she earns during the 5 years. $ …… [2]
Mark scheme
15 67.5[0] 2 750 ×1.8 [×5] M1 for oe 100
Question 162 marks
Question
Solve the equation. 5x + 7 = 9x - 3 x = …… [2]
Mark scheme
16 2.5 2 M1 for 7 + 3 = 9x – 5x or better
Question 173 marks
Question
y 4 3 2 L 1 -2 -1 0 1 2 3 4 x -1 (a) Find the equation of line L in the form y = mx + c . y = …… [2] (b) On the grid, draw a line that is perpendicular to line L. [1]
Mark scheme
17(a) 1 2 1 [y =] x+1 B1 for x + c oe 3 3 or for mx + 1 where m is their gradient m ≠ 0 17(b) Any ruled perpendicular line 1
Question 182 marks
Question
A bar of chocolate costs $3 and a bag of sweets costs $5. Write down an expression for the total cost, in dollars, of x bars of chocolate and y bags of sweets. $ …… [2]
Mark scheme
18 3x + 5y final answer 2 B1 for 3x or 5y in final answer or for 3x + 5y seen then spoilt
Question 194 marks
Question
(a) A bag contains these cards. 1 7 3 9 4 5 2 One of these cards is picked at random. Find the probability that the number on the card is greater than 3. …… [1] (b) A box contains 3 blue cards and 7 red cards. Kim picks one card at random, notes its colour and then replaces it in the box. She then picks another card at random. (i) Complete the tree diagram. First card Second card 3 Blue 10 Blue 3 10 …… Red 3 Blue 10 …… Red …… Red [1] (ii) Work out the probability that both of the cards Kim picks are blue. …… [2]
Mark scheme
19(a) 4 1 oe 7 19(b)(i) 7 1 in each space on tree diagram 10 19(b)(ii) 9 2 3 3 oe M1 for × oe 100 10 10
Question 202 marks
Question
72° r cm NOT TO SCALE The diagram shows a sector of a circle with radius r cm and sector angle 72°. The arc length is 9.35 cm. Calculate the value of r. r = …… [2]
Mark scheme
20 7.44 or 7.439 to 7.440… 2 72 M1 for 2 × π × r × = 9.35 oe or better 360
Question 213 marks
Question
= {2, 4, 8, 9, 10, 12} Q = {square numbers} R = {multiples of 4} (a) Use this information to complete the Venn diagram. Q R [2] (b) Write down n (Q + R) . …… [1]
Mark scheme
21(a) Q R 2 B1 for 4 or 5 numbers in the correct place 8 4 12 9 2 10 21(b) 1 1 FT their Venn diagram dep on not empty set
Question 222 marks
Question
Find the highest common factor (HCF) of 48 and 80. …… [2]
Mark scheme
22 16 2 B1 for answer 2, 4 or 8 or M1 for 2 × 2 × 2 × 2 oe as final answer or [48 =] 2 × 2 × 2 × 2 × 3 and [80 =] 2 × 2 × 2 × 2 × 5 or 2 correct factor trees or tables
Question 233 marks
Question
Solve the simultaneous equations. You must show all your working. 3x + 5y = 23 6x - 4y = 11 x = …… y = …… [3]
Mark scheme
23 Correctly eliminates one variable M1 [x =] 3.5 A1 [y =] 2.5 A1 If M0 scored, SC1 for 2 values satisfying one of the original equations
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Where can I find the 0580/13 October/November 2023 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/13, October/November 2023 (0580_w23_ms_13), and the question paper (0580_w23_qp_13), to read or download, with each question's marking points written out underneath.
How many marks is 0580/13 out of?
Mathematics 0580/13 for October/November 2023 is out of 56 marks, with 1 hour to answer it.
Can I get my 0580/13 answers marked?
Yes. Upload your answers to 0580/13/O/N/23 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.