Mathematics 0580/13 October/November 2024: question paper and mark scheme

Question

Write 6475 correct to the nearest ten. …… [1]

Question

Write 0.75 as a fraction. …… [1]

Question

A piece of string has length 65.1 cm. The string is cut into 7 equal pieces. Find the length of each piece. ……cm [1]

Question

7 19 8 12 3 12 9 7 12 Find the mode of these numbers. …… [1]

Question

A bag contains 6 red balls, 4 green balls and 2 blue balls. Zia takes a ball from the bag at random. A B C D E F G 0 1 Write down the letter from the probability scale that shows the probability that (a) Zia takes a green ball …… [1] (b) Zia takes a yellow ball …… [1] (c) Zia does not take a blue ball. …… [1]

Question

These are the first four terms of a sequence. 19 26 33 40 (a) (i) Find the next term. …… [1] (ii) Write down the term to term rule for this sequence. …… [1] (b) These are the first four terms of another sequence. -1 2 5 8 Find the nth term of this sequence. …… [2]

Question

Simplify. 3p - t – p - 4t …… [2]

Question

61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number …… [1] (b) a prime number. …… [1]

Question

The scale drawing shows the positions of town K and town L. The scale is 1 cm represents 10 km. North L North K Scale : 1 cm to 10 km (a) Find the actual distance between town K and town L. …… km [2] (b) Measure the bearing of town L from town K. …… [1] (c) Town M is 40 km from town L on a bearing of 140°. On the scale drawing, mark the position of town M. [2]

Question

The surface area of a cube is 121.5 cm 2 . Calculate the length of one side of the cube. …… cm [2]

Question

(a) NOT TO SCALE 80° w° The diagram shows three lines meeting at a point. Find the value of w. w = …… [1] (b) D 80° NOT TO SCALE y° A B C BCD is an isosceles triangle. ABC is a straight line. Work out the value of y. y = …… [3]

Question

Write down the equation of a line parallel to the line y = 2x . …… [1]

Question

Each student in a class of 20 students records the number of coins in their pockets. The table shows the results. Number of coins 0 1 2 3 4 5 6 Frequency 3 1 7 8 0 0 1 (a) Find the median. …… [1] (b) Calculate the mean. …… [3]

Question

Expand 4 (x - 3) . …… [1]

Question

Find the size of an interior angle of a regular 15-sided polygon. …… [2]

Question

Rio buys some pens. 7 He sells 63 pens, which is of the pens he buys. 9 Work out how many pens he buys. …… [2]

Question

Ed has n books. Sam has 3 times as many books as Ed Jane has 2 books fewer than Sam. The total number of books is 54. Use this information to write down an equation and solve it to find the value of n. n = …… [4] 1 11

Question

Without using a calculator, work out 2 - 1 . 4 12 You must show all your working and give your answer as a fraction in its simplest form. …… [3] 19 % = {workers in an office} C = {workers who drink coffee} T = {workers who drink tea} 47 people work in the office. 32 people drink tea. % C T 6 8 (a) Complete the Venn diagram. [2] (b) Write down n(C + T ) . …… [1] (c) Work out the probability that a worker chosen at random does not drink coffee. …… [1]

Question

In the question paper above.

Question

The weight, w grams, of a box is 463.9 grams, correct to 1 decimal place. Complete the statement about the value of w. …… G w 1 …… [2]

Question

Calculate (6.4 # 10 5) ' (2.5 # 10 -7) . Give your answer in standard form. …… [1]

Question

Mia invests $1270 for 5 years at a rate of 2.1% per year compound interest. Calculate the value of her investment at the end of the 5 years. $ …… [2]

Question

NOT TO SCALE 9.7 cm x cm 42° The diagram shows a right-angled triangle. Calculate the value of x. x = …… [2]

Question

A x cm NOT TO B SCALE 3.2 cm 6.75 cm 2.7 cm Shape A is mathematically similar to shape B. Calculate the value of x. x = …… [2]