[PDF] Cambridge Secondary Progression Test - Stage 8 Math Paper 1.pdf | Plain Text

© UCLES 2011 P110/01/A/M/11 [Turn over 1 For Teacher's Use 55 minutes Mathematics Paper 1 Stage 8 Name ……………………………………………\ …….………………………. Additional materials: Ruler Tracing paper Geometrical instruments Calculators are not allowed. READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. You should show all your working on the question paper. The number of marks is given in brackets [ ] at the end of each question\ or part question. The total number of marks for this paper is 45. V1 For Teacher's Use Page Mark 1 2 3 4 5 6 7 8 9 10 11 12 Total

© UCLES 2011 P110/01/A/M/11 2 For Teacher's Use 1 Write the missing numbers in the boxes. (a) 462 + = 849 [1] (b) 713 – = 448 [1] 2 Calculate 7 – 2.4 + 0.36 [1] 3 Look at the shapes. Tick (
) all the shapes that are congruent. [1] 4 Work out. (a) 4³ [1] (b) 121 [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 3 For Teacher's Use 5 Write the missing numbers in the spaces. (a) 147 × = 1.47 [1] (b) 32.9 ÷ = 329 [1] 6 Here is a signpost. Paris 8km Jane passes this signpost. How many miles is Jane from Paris when she passes this signpost? miles [1] 7 Rowena asks the students in her cla ss if they are right or left-handed. She starts to show her results in a two-way table. Use the information given to complete Rowena’s two-way table. [2] Right-handed Left-handed Total Boys 10 Girls 15 Total 7 29

© UCLES 2011 P110/01/A/M/11 4 For Teacher's Use 8 Tick (
) all the fractions that are equivalent. 28 9 8 3 6424 54 21 40 15 [1] 9 Look at these triangles. 12 cm 4 cm 13 cm 5cm13cm 12cm 13 cm 13 cm 13 cm 13 cm 5 cm 13 cm NOT TO SCALE Tick (
) the triangle that has a hypotenuse of length 13 cm. [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 5 For Teacher's Use 10 Ayesha, Boris and Carla have some sweets. Ayesha has x sweets. Boris has twice as many sweets as Ayesha. Carla has 3 fewer sweets than Boris. (a) Tick (
) the expression that shows the number of sweets that Carla has. 3 2 + x ) 3 ( 2 − x 2 3 − x 3 2 − x ) 2 ( 3 + x [1] (b) Ayesha and Carla have the same number of sweets. Work out the number of sweets that Ayesha has. sweets [2] 11 Look at this drawing of a cuboid. 6cm NOT TO SCALE 4cm 10 cm Work out its volume. cm³ [1]

© UCLES 2011 P110/01/A/M/11 6 For Teacher's Use 12 Rashid makes some patterns using black and white counters. pattern number pattern number pattern number 1 2 3 He makes a table to show the number of counters he uses. Pattern number 1 2 3 4 10 Number of white counters 0 2 4 Total number of counters 1 3 5 (a) Complete the table. [2] (b) How many white counters are there in pattern number n? [1] (c) Write an expression for the total number of counters in the n th pattern. [1] 13 Here are five expression cards. A p – q B p + q C p² D 2p E q² + 1 (a) Which two cards have the same value when p = 3 and q = – 1? and [1] (b) Which two cards have the same value when p = q? and [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 7 For Teacher's Use 14 Kumar measures the height of a plant. At the start of the first week it is 36 mm. A week later it is 63 mm. Work out the percentage increase in the height of the plant. % [2] 15 The midpoint of the line joining po ints A and B has coordinates (5,7). A is the point (3,5). Work out the coordinates of point B. ( , ) [2]

© UCLES 2011 P110/01/A/M/11 8 For Teacher's Use 16 A domino has a percentage and a fraction written on it. 30% 2 1 The dominoes are matched so that th e fraction joins its equivalent percentage. 30% 2 1 50% 5 3 Four of the dominoes are joined. 30% 2 1 50% 5 3 12 2 1 % 3 2 Write in the percentage and fraction needed on the blank domino. [2] 17 Write numbers in the boxes to make the following calculations correct. (a) 3.24 ÷ 0.4 = 3.24 × ÷ 4 [1] (b) 87.9 × = 87.9 × 3 ÷ 100 [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 9 For Teacher's Use 18 (a) Shade one more square so that this shape has one line of symmetry. [1] (b) Shade two more squares so that this shape has rotational symmetry of order 2. [1] 19 The stem and leaf diagram shows the marks scored by some students in a maths test. 0 2 5 1 3 6 7 8 Key 1 3 means 13 2 0 2 3 5 5 6 7 9 3 0 (a) What is the range of their scores? [1] (b) What is the median of their scores? [1]

© UCLES 2011 P110/01/A/M/11 10 For Teacher's Use 20 Work out. 5 3 3 2 1 3 + [2] 21 Bisect the angle marked in the diagram. Use only a ruler and a pair of compasses. Leave your construction lines. [2]

© UCLES 2011 P110/01/A/M/11 [Turn over 11 For Teacher's Use 22 Look at shapes A and B. A B Which of the shapes has the larger fraction of itself shaded? Explain your answer. Shape because [2] 23 The table shows some properties of quadrilaterals. Complete the table. Tick (
) if the property is always true. Cross ( ) if the property is not always true. [2] Diagonals are perpendicular Diagonals have equal length Square

Rhombus Rectangle Trapezium

Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copy\ right holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opport\ unity. University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a depa\ rtment of the University of Cambridge. © UCLES 2011 P110/01/A/M/11 12 For Teacher's Use 24 Hari has four number cards. 4 7 ? ? (a) If the mode of the numbers is 4 and their median is 5, what are the two missing numbers? and [1] (b) If the range of the numbers is 3 and their mean is 6, what are the two missing numbers? and [1]