[PDF] Cambridge Secondary Progression Test - Stage 7 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 7 Name ……………………………………………\ …….………………………. Additional materials: Ruler Tracing paper 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 The temperature in Stockholm at 06 00 is –3°C. At 12 00 the temperature has risen by 5°C. What is the temperature at 12 00? °C [1] 2 Calculate. (a) 15² [1] (b) 81 [1] 3 Write the missing numbers. (a) 17.26 × 1000 = [1] (b) 3.8 ÷ = 0.038 [1] 4 Kieran picks a bead out of a bag without looking. He records the colour and replaces the bead. Kieran does this 50 times. He picks out a red bead 15 times. Estimate the probability of picking a red bead. [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 3 For Teacher's Use 5 (a) Write 4 27 as a mixed number. (b) Write 3 54 as an improper fraction. 6 A book costs $15 in a shop. If it is bought on the internet, it costs 80% of this amount. How much does the book cost if it is bought on the internet? $ [1] [1] [1]

© UCLES 2011 P110/01/A/M/11 4 For Teacher's Use 7 Look at the shape drawn on the grid. Reflect this shape in the line y = x. y x y = x [1] 8 Look at the diagram. NOT TO SCALE Work out the value of a. ° [1] 33° a°

© UCLES 2011 P110/01/A/M/11 [Turn over 5 For Teacher's Use 9 Calculate 34.2 ÷ 6 [1] 10 (a) ABCD is a parallelogram. A B 110 ° NOT TO SCALE x ° D C Calculate the value of x. [1] (b) Karl measures the four angles of a quadrilateral as: 130 ° 65 ° 120 ° 55 ° Fay says he has made a mi stake in measuring the angles. Is Fay correct? Yes/No Explain how you know. Because [1]

© UCLES 2011 P110/01/A/M/11 6 For Teacher's Use 11 The table shows the highest daily tempe ratures in London and in Sydney during a week in March. Mon Tues Wed Thurs Fri Sat Sun London 6°C 9°C 8°C 10°C 11°C 10°C 9°C Sydney 20°C 22°C 23°C 19°C 20°C 21°C 24°C (a) What is the range of the temperatures in London? °C [1] (b) What is the median temperature in Sydney? °C [1] (c) Make two comments comparing the temperatures in London and Sydney during this week. [2] 12 Write brackets in the calcul ation to make it correct. 18 + 7 ÷ 3 + 2 = 5 [1] 13 A furniture manufacturer needs 12 screws when making a table. (a) Put a ring round the formula that gives the total number of screws (y) needed to make x tables. y = 12 + x y = 12 ÷ x y = 12x y = 12 – x [1] (b) Use the formula to calculate the num ber of screws needed for 20 tables. screws [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 7 For Teacher's Use 14 The table shows some information about triangles A, B, C and D. Type of Triangle Triangle Angles Scalene Right angled Isosceles A 90°, 30°, 60°

 B 50°, 80°, 50° C 45°, 90°, 45° D 40°, 60°, 80° Complete the table using ticks (
) and crosses ( ). The first row has been done for you. [2] 15 Ali has some sweets. He gives 8 1 of them to Suzi and 4 1 of them to Tom. What fraction of the sweets does Ali have left? Show your working. [2] 16 The table shows some information about 3D shapes. Complete the table. Name of shape Number of faces Number of vertices Number of edges Square based pyramid 5 5 6 8 12 Triangular prism 5 9 [2]

© UCLES 2011 P110/01/A/M/11 8 For Teacher's Use 17 Draw lines to join the calculat ions that have the same answer. One has been done for you. [2] 18 Look at the shapes A and B. A B 5 cm NOT TO a cm SCALE 7 cm A is a square. B is a rectangle. A and B have the same perimeter. Work out the length of a? Show your working. cm [2] 4 1 of 28 2 1 of 20 3 2 of 12 5 2 of 15 10% of 100 30% of 20 20% of 35

© UCLES 2011 P110/01/A/M/11 [Turn over 9 For Teacher's Use 19 A theatre has seats arranged in rows of 24 382 people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people? Show your working. rows [2] 20 Write the ratio 42 : 24 in its simplest form. : [1] 21 Put a ring round all the fractions that are equivalent to 53 30 16 20 12 25 14 35 28 15 9 [1] 22 Lucy buys a scarf for $7.48 and a skirt for $24.65 How much change does she get from a $50 note? Show your working. $ [2]

© UCLES 2011 P110/01/A/M/11 10 For Teacher's Use 23 Farhan asks all the students in his class how they travel to school. He shows his results in a pie chart and on a bar chart. car walk bus cycle walk car bus cycle 0 2 4 6 8 10 12 14 (a) Complete the bar chart. [1] (b) How many students are there in Farhan’s class? students [1] 24 A fruit drink is made by mixing juice and water in the ratio 2 : 9 (a) How many litres of water are mixed with 6 litres of juice? litres [1] (b) How many litres of juice are needed to make 44 litres of the drink? litres [1]

© UCLES 2011 P110/01/A/M/11 [Turn over 11 For Teacher's Use 25 Look at the diagram. NOT TO SCALE ABD is a right-angled triangle. ACD is an isosceles triangle with AC = CD . Angle ACD =110 ° Work out angle ABD. ° [2] 26 Look at rectangles A and B. A B Shade some squares in rectangle A so that th e percentage of shaded squares is the same in both rectangles. [1] A D B C 110°

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 27 The table shows the attendances at four soccer matches. Harry says that if the attendance figu res are rounded to the nearest 1000, two matches have the same attendance. Is Harry correct? Yes/No Explain your answer. Because [1] Match Attendance A 5472 B 4094 C 6149 D 4765