Question 12 marks
Question
(a) Write the number eighty thousand and eighty in figures. …… [1] (b) Write down the value of the 4 in the number 643 719. …… [1]
Mark scheme
1(a) 80 080 1 1(b) 40 000 1
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Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2022. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w22_qp_120580_w22_ms_120580/12/O/N/22
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
(a) Write the number eighty thousand and eighty in figures. …… [1] (b) Write down the value of the 4 in the number 643 719. …… [1]
Mark scheme
1(a) 80 080 1 1(b) 40 000 1
Question
Find the value of 53.29 . …… [1]
Mark scheme
2 7.3 1
Question
A football team has 16 players at a training session. Kim records the colour of each of their shirts. Blue Silver Green Green Silver Silver Red Silver Green Red Silver Silver Blue Green White Blue Complete the frequency table. You may use the tally column to help you. Colour Tally Frequency Blue Green Red Silver White [2]
Mark scheme
3 3 2 B1 for three or four correct frequencies or 4 for correct tallies if frequencies blank or 2 all frequencies correct but in tally column 6 1
Question
5 cm NOT TO 4 cm SCALE 2 cm Complete the net of this cuboid on the 1 cm 2 grid. One face has been drawn for you. [3]
Mark scheme
4 Fully correct net 3 B2 for 4 correct faces in the correct places or B1 for 2 or 3 correct faces in the correct places
Question
Draw all the lines of symmetry on this shape. [2]
Mark scheme
5 Two correct lines and no extras 2 B1 for one line and no extra or two correct lines and one extra
Question
Put one pair of brackets in each statement to make it correct. (a) 10 - 4 ' 2 + 18 = 21 [1] (b) 7 # 3 + 1 + 2 = 30 [1]
Mark scheme
6(a) (10 − 4) ÷ 2 + 18 = 21 1 6(b) 7 × (3 + 1) + 2 = 30 1
Question
x° NOT TO SCALE 34° The diagram shows an isosceles triangle. Find the value of x. x = …… [2]
Mark scheme
7 112 2 M1 for 180 – 34 × 2 oe
Question
(a) Simplify. 6a + 3b - 2a - 5b …… [2] 1 (b) s = 5t + at 2 2 Find the value of s when t = 6 and a = 3. s = …… [2]
Mark scheme
8(a) 4a – 2b or 2(2a – b) final answer 2 B1 for 4a or – 2b in final answer or 4a + – 2b as final answer or for correct answer seen and spoilt 8(b) 84 2 B1 for 30 or 54 1 or M1 for 5 × 6 + × 3 × 62 oe 2
Question
Work out. 6 4 (a) e o + e o -3 -5 f p [1] 3 (b) 6 e o -2 f p [1] 5 1
Mark scheme
9(a) 10 1 −8 9(b) 18 1 −12
Question
Without using a calculator, work out - . 9 6 You must show all your working and give your answer as a fraction in its simplest form. …… [2]
Mark scheme
10 10 3 M1 Allow any correct common denominator and 18k 18 18 7 A1 cao 18
Question
A 4-faced dice is numbered 1 to 4. The table shows some of the probabilities of scoring each number. Number 1 2 3 4 Probability 0.17 0.28 0.31 Complete the table. [2]
Mark scheme
11 [0].24 2 M1 for 1 – 0.17 – 0.28 – 0.31oe
Question
(a) These are the first five terms of a sequence. 27 26 23 18 11 Find the next two terms in the sequence. …… , …… [2] (b) These are the first five terms of a different sequence. 3 10 17 24 31 Find the nth term. …… [2]
Mark scheme
12(a) 2 –9 2 B1 for one correct 12(b) 7n – 4 oe final answer 2 B1 for 7n + c or kn – 4 (k ≠ 0 ) as final answer or correct answer spoilt
Question
Daryl records the number of hours in a week 8 people spend exercising. 5 2 1.5 3 18 4.5 2 4 (a) Find the median. …… h [2] (b) Explain why the mean may not be a suitable average to use. …… [1]
Mark scheme
13(a) 3.5 2 M1 for values in correct order 1.5 2 2 3 4 4.5 5 18 or 3 and 4 identified as middle numbers 13(b) One extreme value oe 1
Question
Calculate. (a) 2000 # 1.2 3 …… [1] 1 6 (b) 2 # 8 17 …… [1] 4.5 (cos 30°) (c) - 2 3 …… [1]
Mark scheme
14(a) 3456 1 14(b) 3 1 0.75 or 4 14(c) 1 1 0.25 or 4
Question
Jenna buys 2.4 m of ribbon and 4.8 m of fabric. The total cost is $33.48 . Ribbon costs $0.85 per metre. Find the cost of 1 m of fabric. $ …… [3]
Mark scheme
15 6.55 3 M2 for (33.48 – 2.4 × 0.85) oe or M1 for 2.4 × 0.85
Question
(a) Expand. x (x + 8) …… [2] (b) Factorise completely. 6a - 3ab …… [2] (c) Solve. 5x - 6 = x + 3 x = …… [2]
Mark scheme
16(a) x2 + 8x final answer 2 B1 for x2 or +8x in final answer or correct answer spoilt 16(b) 3a(2 − b) final answer 2 B1 for 3(2a −ab) or a(6 − 3b) final answer or correct answer spoilt 16(c) 1 2 M1 for 5x – x = 3 + 6 or better 2.25 or 2 4
Question
(a) = { people in a group} B = { people who own a bicycle} C = { people who own a car} There are 120 people in the group. 21 people own a bicycle. 15 people own both a bicycle and a car. 35 people do not own a bicycle and do not own a car. B C (i) Complete the Venn diagram. [2] (ii) A person from the group is chosen at random. Find the probability that this person owns a car. …… [1] (b) D E Shade the region D , E . [1]
Mark scheme
17(a)(i) 2 B1 for two numbers in the correct places 17(a)(ii) 79 1 FT their diagram for 79 oe 120 17(b) 1
Question
NOT TO SCALE 6 cm 18 cm w cm The right-angled triangular prism has height 6 cm, width w cm and length 18 cm. The volume of the prism is 810 cm 3 . Find the value of w. w = …… [3]
Mark scheme
18 15 3 810 M2 for 1 2 × 6 × 18 1 or M1 for × 6 × w × 18 [=810] 2 or 810 ÷ 18 or 810 ÷ 6 or 810 ÷ (6 × 18)
Question
In a survey of 1200 people, 150 people are left-handed. Work out the expected number of left-handed people in a town with 56 000 people. …… [2] Questions 20 and 21 are printed on the next page.
Mark scheme
19 7 000 2 150 M1 for × 56 000 oe 1200
Question
(a) 58 ' 5 x = 52 Find the value of x. x = …… [1] 5 3 (b) Simplify (x ) . …… [1]
Mark scheme
20(a) 6 1 20(b) x15 1
Question
A 18 cm NOT TO SCALE 42° B C ABC is a right-angled triangle. Calculate BC. BC = …… cm [2]
Mark scheme
21 13.4 or 13.37 to 13.38 2 BC M1 for cos[42 =] or better or 18 BC sin[48 =] or better 18
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Mathematics 0580/12 for October/November 2022 is out of 56 marks, with 1 hour to answer it.
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