[PDF] Cambridge Secondary Progression Test - Stage 9 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 9 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 13 14 Total

© UCLES 2011 P110/01/A/M/11 2 For Teacher's Use 1 Write 63 36 as a fraction in its simplest form. [1] 2 Work out the values of a and b that make these statements correct. (a) 0.5173 × 10 a = 5173 a = [1] (b) 365 ÷ 10 b = 3.65 b = [1] 3 A 15 % service charge is added to a restaurant bill. What is the service charge on a bill of $ 35? $ [1] 4 A bag contains some coloured beads. It contains only red, green, yellow and blue beads. The probability of picking each colour bead at random is shown in the table. What is the probability of picking a blue bead? [1] Colour Red Green Yellow Blue Probability 0.2 0.1 0.4 ?

© UCLES 2011 P110/01/A/M/11 [Turn over 3 For Teacher's Use 5 Look at the expression cards. A B C D \ E m ² ÷ m m² – m m × m1 2 m – m m 0 (a) Which expressions are always equal to m? [1] (b) Which expressions are always equal to 1? [1] 6 The diagrams show views of a 3D shape from different places. front view side view top view Draw the 3D shape using the isometric grid. [2]

© UCLES 2011 P110/01/A/M/11 4 For Teacher's Use 7 Expand and simplify the brackets. ( x + 4)( x – 7) [2] 8 Look at the cubes. NOT TO SCALE How many centimetre cubes will fit inside a metre cube? [1] 9 Here are six number cards. – 8 – 4 – 3 5 6 10 Use the cards to make these statements corre ct. Each card should only be used once. + = – = [2] 1m 1cm

© UCLES 2011 P110/01/A/M/11 [Turn over 5 For Teacher's Use 10 Match the expression for the n th term to the correct sequence. One has been done for you. n + 1 2 6 10 14 ... 4 n – 2 2 3 4 5 ... 2 n – 3 4 7 10 13 ... 3 n + 1 –1 1 3 5 ... [2] 11 Triangles A and B are drawn on the grid. x –10 –5 5 10 y –10 –5 5 A B 0 10 Describe fully the single transformation that maps A on to B. [2]

© UCLES 2011 P110/01/A/M/11 6 For Teacher's Use 12 Solve the simultaneous equations. 2 x – y = 11 x + y = 10 Show your working. x = y = [2] 13 Look at this calculation. 37 × 291 = 10 767 Work out (a) 3.7 × 2.91 [1] (b) 107.67 ÷ 0.37 [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 7 For Teacher's Use 14 Gamal says “The square root of 70 is between 8 and 9”. Explain why Gamal is correct. [1] 15 Here are some number cards. 0.01 0.1 1 10 100 Use four of these cards to make these statements correct. You may use each card only once. 24 × = 24 ÷ 24 ÷ = 24 × [2]

© UCLES 2011 P110/01/A/M/11 8 For Teacher's Use 16 Construct a regular hexagon with sides 4 cm. Use only a ruler and a pair of compasses. Leave your construction lines. [2] 17 100 students take a mathematics test. The marks are out of 50 Kris makes a frequency table to show their marks. Marks Frequency 0 – 20 4 20 – 25 14 25 – 40 65 40 – 50 17 Total 100 Make two criticisms of the table. [2]

© UCLES 2011 P110/01/A/M/11 [Turn over 9 For Teacher's Use 18 (a) Here is the equation for a straight line: y + 3 x = 2 Express y in terms of x. y = [1] (b) Here are the equations of five straight lines. A B C D y = 3 x + 2 y + 3 x = 2 3 x – y = 2 y = 2 x + 3 Which two lines are parallel? and [1]

© UCLES 2011 P110/01/A/M/11 10 For Teacher's Use 19 The diagram shows a map of an island. The scale of the map is 1 cm = 10 km. A and B are towns. N N AB (a) How many km is town A from town B? km [1] (b) Some treasure is buried on the island. It is on a bearing of 065° from A and it is 40 km from B. By accurate drawing show the posi tion of the treasure on the map. Mark the position with an X. [2]

© UCLES 2011 P110/01/A/M/11 [Turn over 11 For Teacher's Use 20 John measures his blood pressure and his pulse rate on twelve days. The scatter graph shows the readings for nine of these days. 70 75 80 85 90 95 100 100 110 120 130 140 150 0 Pulse rate Blood pressure (mm / Hg) The readings for the other three days are shown in the table. 1 2 3 Pulse rate 74 89 82 Blood pressure (mm / Hg) 110 135 107 (a) Plot the other three points on the scatter graph. [1] (b) Make two statements about the correlation between pulse rate and blood pressure. [2]

© UCLES 2011 P110/01/A/M/11 12 For Teacher's Use 21 Here is a square and a circle. 12 cm 8 cmNOT TO SCALE Each side of the square is 12 cm. The circle has a radius of 8 cm. Which has the greater perimeter? Show your working. [2]

© UCLES 2011 P110/01/A/M/11 [Turn over 13 For Teacher's Use 22 A scientist is testing a new fertiliser. She grows some plants in two plots, A and B. Plot A has the new fertiliser. Plot B has no fertiliser. The scientist measures the heights of the plants after a month of growth\ . The back to back stem and leaf diagram shows her results. Plot A Plot B 4 0 1 1 7 9 7 6 4 4 1 5 1 2 2 3 3 3 4 6 8 5 5 5 3 2 6 0 0 3 4 5 5 6 7 9 9 7 7 6 6 4 2 1 7 0 1 2 2 3 7 8 9 8 5 3 2 2 0 8 0 1 1 4 6 7 7 4 1 1 0 9 Key: 1 5 means 51 cm Key: 5 1 means 51 cm (a) Work out the median height of the plants grown in plot A. cm [1] (b) Compare the plants grown in plots A and B. Make two comparisons. [2]

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 14 For Teacher's Use 23 A rectangle has width 6 cm and area 60 cm². It is cut into a triangle (A) and a trapezium (B). x cm A B 6 cm NOT TO SCALE The ratio of the area of A to the area of B is 1 : 4 Work out the length x. x = cm [3]