Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Language as second language for students
Typology: Summaries
1 / 16
This page cannot be seen from the preview
Don't miss anything!
1 hour Additional materials: Geometrical instruments Tracing paper (optional) INSTRUCTIONS
1 Calculate. 4 – 1 Give your answer as a mixed number in its simplest form. [2] 2 Complete these statements. 7.2 × 0.1 = 7.2 ÷ 0.1 = [2] 3 Eva draws this table to show equivalent fractions, decimals and percentages. In each of the rows there is one incorrect value. Draw a ring around the incorrect value in each row. One row has been done for you. Fractio n Decima l Percentag e 25% 0.03 3% 0.45 4.5% 1.5 15% [2] 4 Mike thinks of a function. His function can be represented by this function machine involving two operations. Mike’s function can also be represented by a function machine that involves only one operation. Complete this function machine. [1]
Input – 3 + 7 Output Input Output
9 Carlos has two bags containing coloured counters. Bag A contains 5 green counters and 10 red counters. Bag B contains 50 green counters and 100 red counters. (a) Carlos takes a counter at random from bag A. Carlos says, ‘The probability of taking a green counter from bag A is ’ Explain why Carlos is correct. [1] (b) Carlos says, ‘I am more likely to take a green counter if I take it from bag B rather than bag A. This is because there are more green counters in bag B.’ Explain why Carlos is not correct. [1] 10 Write down the value of each of these cube roots. (^3) – 3 123 [2] 11 (a) Draw a bearing of 070° from point X. North X [1]
(b) The diagram shows the position of two ships, A and B. Find the bearing of A from B. ° [1] 12 (a) Safia has four spinners, A, B, C and D. Each of the spinners has four sections numbered 1, 2, 3 and 4 Safia spins each spinner a total of 200 times. She finds the experimental probability of spinning the number 4 for each spinner. Spinner A B C D Experimental probability of spinning a 4
One of these spinners is not fair. Write down the letter of the spinner this is most likely to be. [1] (b) Oliver has this spinner.
North A North 2 2
Calculate the difference between the area of the trapezium and the area of the parallelogram. cm^2 [3] 15 Complete the Venn diagram by writing possible coordinates in each of the sections. One has been done for you. [3] 16 Work out. 50 – 80 + 8^2 × 1.
On the line y = x + 2 On the line y = 2 x ( ............. , ............ )
17 Jamila draws a pentagon. The two shortest sides are each of length x cm. The two longest sides are each three times the length of the shortest sides. The fifth side is 5 cm longer than the shortest sides. Find an expression, in terms of x , for the perimeter of the pentagon. Give your answer in its simplest form. cm [2] 18 Samira draws this square. She draws two straight lines inside the square to make four rectangles. The areas of the two smallest rectangles are written inside each rectangle. NOT TO SCALE 3 cm Work out the length of one side of the square. Give your answer in centimetres. 18 cm^2
mm^2
20 A point P has coordinates (–3, 9). 8 (a) The point P is translated by the vector . 2 Find the coordinates of the image of point P. ( , ) [1] (b) The point P is reflected in the line x = 2 Find the coordinates of the image of point P. ( , ) [1] (c) The point P is reflected in the line y = k The coordinates of the image of point P are (–3, 5). Find the value of k.
k = [1] 21 Write one pair of brackets in this calculation to make it correct. 0.6 – 0.2 × 2 + 0.1 = 0. [1] 22 Chen has a box containing coloured pens. There are 9 times as many blue pens in the box as pens that are not blue. Chen picks a pen at random from the box. Work out the probability the pen Chen picks is not blue. [1] 23 Complete these sentences about percentage change and absolute change. One has been done for you. To increase something by 60 % you multiply by the decimal 1. To increase something by 0.5% you multiply by the decimal
25 Solve. 2(5 x + 1) = 2 – 5(4 x – 3) x = [3] © UCLES 2025 M/S8/
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. © UCLES 2025 M/S8/
