Mathematics 0580/13 October/November 2019: question paper and mark scheme

Question

Write down the mathematical name of this type of angle. …… [1]

Question

Change 560 metres into kilometres. …… km [1]

Question

Write the number forty thousand three hundred in figures. …… [1]

Question

Factorise 12x + 15. …… [1]

Question

Put one pair of brackets into each calculation to make it correct. (a) 8 + 6 - 2 # 5 = 28 [1] (b) 8 + 6 - 2 # 5 = 60 [1]

Question

(a) Write down the temperature that is 7 °C below -3 °C. ……°C [1] (b) Work out the difference in temperature between -4 °C and 4 °C. ……°C [1]

Question

Here is a list of numbers. 87 77 57 47 27 From this list, write down (a) a cube number, …… [1] (b) a prime number. …… [1]

Question

A bag contains 6 red balls and 10 blue balls only. On the probability scale, draw an arrow ( ) to show the probability that a ball taken at random is (a) blue, 0 1 1 2 [1] (b) red or blue. 0 1 1 2 [1]

Question

The price of a television is $560. This price is reduced by 18% in a sale. Work out the sale price. $ …… [2]

Question

Calculate the circumference of a circle with radius 4.5 cm. …… cm [2]

Question

Write in standard form. (a) 72 000 …… [1] (b) 0.0018 …… [1]

Question

Expand and simplify (x + 3) (x + 5) . …… [2]

Question

(a) x3 # x6 = xm Find the value of m. m = …… [1] `x 2j = x 12 n (b) Find the value of n. n = …… [1]

Question

The diagram shows a right-angled triangle. NOT TO SCALE x cm 28 cm 31 cm Show that the value of x is 41.8, correct to 3 significant figures. [2]

Question

Davina records the colour of each car passing her house one morning. red grey black red grey white white black black white grey red grey white grey black grey black white grey (a) Complete the frequency table. You may use the tally column to help you. Colour of car Tally Frequency Black Grey Red White [2] (b) Write down the mode. …… [1]

Question

A cuboid measures 5 cm by 7 cm by 9.5 cm. NOT TO SCALE 7 cm 5 cm 9.5 cm Work out the surface area of this cuboid. …… cm2 [3]

Question

Work out. (a) f p + f p -3 2 5 -4 f p [1] (b) f p - f p 6 1 2 5 f p [1] 4f p 2 (c) -5 f p [1]

Question

Here is a list of ingredients to make 12 pancakes. 110 g flour 2 eggs 200 ml milk 50 g butter Complete the list of ingredients below to make 30 pancakes. …… g flour …… eggs …… ml milk …… g butter [3]

Question

The mean of three numbers is 150. The numbers are 361, 2n and (n - 1) . Find the value of n. n = …… [3]

Question

y 6 A 5 4 3 B 2 1 C 0 1 2 3 4 5 6 7 8 x (a) Write down the co-ordinates of point B. ( …… , ……) [1] (b) The quadrilateral ABCD has x = 4 as a line of symmetry. On the grid, plot point D. [1] (c) Write down the mathematical name of quadrilateral ABCD. …… [1] (d) Write down the order of rotational symmetry of quadrilateral ABCD. …… [1]

Question

The diagram shows a conversion graph for dollars and Kenyan shillings. 6000 5500 5000 4500 4000 3500 Kenyan 3000 shilling 2500 2000 1500 1000 500 0 0 5 10 15 20 25 30 35 40 45 50 Dollar ($) (a) Use the graph to change 5000 shillings to dollars. $ …… [1] (b) Explain how to use this graph to change $420 to shillings. …… [1] (c) The exchange rate is now $1 = 90 shillings. On the grid, draw another line to show this exchange rate. [2]

Question

Ten athletes compete in both the 100 metre race and the triple jump. Their results are shown in the scatter diagram. 13.4 13.3 13.2 13.1 13.0 Time for 100 m 12.9 (seconds) 12.8 12.7 12.6 12.5 12.4 14.5 14.6 14.7 14.8 14.9 15.0 15.1 15.2 15.3 15.4 15.5 Distance in the triple jump (m) (a) One of these athletes jumps 15.12 m in the triple jump. Write down his time for the 100 metre race. …… s [1] (b) The values for two other athletes are shown in the table. Distance in the 14.74 15.2 triple jump (m) Time for 100 m 13.2 12.76 (seconds) On the scatter diagram, plot these points. [1] (c) On the scatter diagram, draw a line of best fit. [1] (d) What type of correlation is shown in the scatter diagram? …… [1] Question 23 is printed on the next page.

Question

The scale drawing shows a triangle ABC. The scale is 1 centimetre represents 8 kilometres. B A C Scale : 1 cm to 8 km (a) Using a straight edge and compasses only, construct the bisector of angle BAC. Show all your construction arcs. [2] (b) Draw the locus of points inside triangle ABC that are 56 km from C. [2] (c) Shade the region inside triangle ABC that is • more than 56 km from C and • nearer to AC than to AB. [1]