Mathematics 0580/13 May/June 2023: question paper and mark scheme

Question

Write 928 correct to the nearest ten. …… [1] 7

Question

Write down a fraction that is equivalent to . 9 …… [1]

Question

Work out. -4 + 6 # 3 …… [1]

Question

Bobby records the number of days a shop is open during 30 days. Tally Frequency Days open |||| |||| |||| |||| ||| Days not open Complete the table. [2]

Question

(a) Complete the statement. The diagram has rotational symmetry of order …… . [1] (b) On the diagram, draw all the lines of symmetry. [2]

Question

Write down the reciprocal of 16 as a decimal. …… [1]

Question

The stem-and-leaf diagram shows the ages of 21 people. 1 6 9 2 1 4 4 5 8 3 2 6 7 9 4 0 2 4 6 8 9 5 3 4 5 7 Key : 1q6 represents 16 years (a) Find the fraction of people who are more than 30 years old. …… [1] (b) Work out the range. …… [1] (c) Find the median. …… [1]

Question

NOT TO 5 cm SCALE 3 cm 8 cm Find the total surface area of the cuboid. …… cm 2 [3]

Question

4 cm NOT TO 4 cm SCALE 2 cm 4 cm The diagram shows a triangular prism. On the 1 cm 2 grid, draw a net of the prism. [3]

Question

Olga thinks that 87 is a prime number. Is Olga correct? Give a reason for your answer. …… because …… [1]

Question

A film lasts for 2 hours 50 minutes. The film ends at 23 05. Find the time the film starts. …… [1]

Question

A 38° NOT TO SCALE x° B C Triangle ABC is isosceles. Angle BAC = 38° and AB = AC. Find the value of x. x = …… [2]

Question

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 6.8 # 10.6 . 3.2 - 0.98 You must show all your working. …… [2]

Question

The scatter diagram shows information about the time spent in a shop and the number of items bought. 16 14 12 10 Number of items 8 bought 6 4 2 0 0 10 20 30 40 50 60 70 80 Time (min) (a) What type of correlation is shown on the scatter diagram? …… [1] (b) Describe the relationship between the time spent in the shop and the number of items bought. …… [1] (c) Draw a line of best fit on the scatter diagram. [1]

Question

Simplify d 8 ' d 2 . …… [1]

Question

Maddie changes 4000 Swiss francs into dollars when the exchange rate is $1 = 0.913 Swiss francs. Work out how many dollars she receives. $ …… [1]

Question

Find the highest common factor (HCF) of 32 and 120. …… [2]

Question

The probability that Tom is late for school is 0.12 . There are 200 school days this year. Work out the expected number of times that Tom is late for school this year. …… [1]

Question

Expand and simplify. (x - 5) (x + 8) …… [2]

Question

C x° B NOT TO SCALE 32° O A The diagram shows a circle, centre O, diameter AB. A, B and C lie on the circumference of the circle. (a) Write down the mathematical name of the line AC. …… [1] (b) Find the value of x. Give a geometrical reason for your answer. x = …… because …… [2]

Question

A spinner has five sides. Each side is painted red, blue, green, yellow or orange. The table shows some of the probabilities of the spinner landing on each colour. Colour Red Blue Green Yellow Orange Probability 0.3 0.16 0.18 0.25 (a) Complete the table. [2] (b) Dan spins the spinner once. Find the probability that the spinner lands on red or blue. …… [2]

Question

Vanessa invests $8500 at a rate of 3.5% per year compound interest. Calculate the value of her investment at the end of 6 years. Give your answer correct to the nearest dollar. $ …… [3]

Question

The diagram shows three shapes, A, B and C, on a 1 cm 2 grid. y 7 6 5 B 4 A 3 2 C 1 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 x Describe fully the single transformation that maps (a) shape A onto shape B …… [3] (b) shape A onto shape C. …… [2] 11 1

Question

Without using a calculator, work out 5 +2 . 12 4 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

In this question, both lengths are in centimetres. B 10x - 12 NOT TO SCALE C 2x + 3 A D The diagram shows two lines, AB and CD. The length of AB is 10x - 12 . The length of CD is 2x + 3. Line AB is 3 times as long as line CD. Work out the value of x. x = …… [4]