Mathematics 0580/12 October/November 2023: question paper and mark scheme

Question

Write as a decimal. 10 …… [1]

Question

Asha works in a café. Her wage is calculated using the formula wage = hourly rate # number of hours + bonus. Her hourly rate is $11.52 . One week Asha works 25 hours and receives a bonus of $5.40 . Work out her wage for this week. $ …… [2]

Question

These are the first four terms in a sequence. -3 4 11 18 (a) Find the next term. …… [1] (b) Explain how you worked out your answer. …… [1] 2

Question

Work out of 180. 5 …… [1]

Question

Write these numbers in order, starting with the smallest. 3 9 18.7% 0.19 16 50 …… 1 …… 1 …… 1 …… [2] smallest

Question

Write down the number that is 9 greater than - 23. …… [1]

Question

For 16 days, Safia records the number of dresses she sells. 24 6 18 14 27 37 9 16 22 17 16 16 24 20 15 32 (a) Complete the stem-and-leaf diagram. 0 1 2 3 Key: 2 4 represents 24 dresses [2] (b) Write down the mode. …… [1] (c) Find the median. …… [1]

Question

Write 24.07839 (a) correct to 2 decimal places …… [1] (b) correct to the nearest 10. …… [1]

Question

v = u + at Find the value of v when u = 30 , a =- 2 and t = 7 . v = …… [2]

Question

Change 62 000 millimetres into kilometres. …… km [1]

Question

50° x° NOT TO SCALE 114° The diagram shows two straight lines crossing two parallel lines. Find the value of x. x = …… [2]

Question

(a) Explain why 111 is not a prime number. …… [1] (b) Find a prime number between 110 and 120. …… [1]

Question

North NOT TO North SCALE P 39° Q East Find the bearing of Q from P. …… [2]

Question

(a) As the age of a car increases, the selling price decreases. What type of correlation is this? …… [1] (b) Write down the type of correlation there is between the height of a driver and the value of their car. …… [1]

Question

Calculate the interior angle of a regular 9-sided polygon. …… [2]

Question

Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest. Calculate the value of his investment at the end of the 3 years. $ …… [3]

Question

A B NOT TO O SCALE C A, B and C are points on a circle, centre O. (a) Draw a tangent to the circle at point A. [1] (b) The circumference of the circle is 22.3 cm. Calculate the radius of the circle. …… cm [2] (c) Give a geometrical reason why angle BCA is 90°. …… [1]

Question

Expand and simplify. 2 (t + w) + 3 (w - t) …… [2] 1 3

Question

Without using a calculator, work out 3 - 1 . 8 4 You must show all your working and give your answer as a mixed number in its simplest form. …… [3] 20  = {students in a class} C = {students who play cricket} F = {students who play football} There are 36 students in the class. 15 students play cricket. 20 students play football. (a) C F 11 5 Complete the Venn diagram. [2] (b) Write down n (C , F) . …… [1]

Question

In the question paper above.

Question

ABC is a right-angled triangle. A NOT TO SCALE 34° B 18 cm C Calculate AC. AC = …… cm [3]

Question

Point A and line L are shown on the grid. y 9 L 8 7 6 5 4 3 2 1 -3 -2 -1 0 1 2 3 x -1 -2 ×A -3 -4 (a) Write down the coordinates of point A. ( …… , …… ) [1] (b) On the grid, plot the point ( - 2 , 4). [1] (c) Find the equation of line L. …… [3]

Question

Bell A rings every 22 minutes. Bell B rings every 14 minutes. Both bells ring at 09 00. Work out the next time both bells ring together. …… [3]

Question

B NOT TO E SCALE 7.3 cm x cm A 5.5 cm C D 4.4 cm F Triangle ABC is mathematically similar to triangle DEF. Calculate the value of x. x = …… [2]