paper 1 Checkpoint 2012 1 a) Calculate. 483.7 100 = 15.06 0.001 = 9.27 0.1= Show your working. b) Write 276.5246 (i) correct to two decimal places (ii) correct to two significant figures 23 1 2 (i) Write as a mixed number. (ii) Work out of 96. 6 8 (iii) Complete each statement with the correct symbol. = < > 70% 7 15 1 10 100 5 3 a) Work out 304.7 156.2 = b) Work out 12.5 7. Give your answer correct to two decimal places. c) Work out (i) 0.6 9 (ii) 6.14 0.4 4 Carlos has 4.5 m of cable. He uses a 1.65 m piece and a 2.08 m piece. Work out how much cable Carlos has left. 5 Use the fact that 57.2 13.15 = 752.18 to write down the answers to the following. (i) 572 1315 = (ii) 75.218 57.2 = (ii) Here is part of Naomi s maths homework. Naomi s answer is wrong. Explain how you can tell she is wrong WITHOUT working out the correct answer.
6 In the diagram PRS is a triangle and QT is parallel to RS. (i) Work out the sizes of angles a and b. a = b = (ii) Work out the size of angle c. Give reasons for your answers. c = because 7 8 a) (i) Complete the statements. 2584 centimetres = metres 5.6 tonnes = kilograms (ii) 100 miles = kilometers b) A jug contains 1.6 litres of milk. Simon divides the milk equally between 8 glasses. Work out how much milk is in each glass. c) The distance from London to Birmingham is about 100 miles. Approximately how many kilometres is it from London to Birmingham?
9 (i) Simplify (a + 2)(a - 3) = (ii) Factorise 2a 2 5a = (iii) Solve these equations. 1) 5x 4 = 3x 2) 2(b - 4) = 3(4 - b) 10 (i) Using only these numbers, complete the statements. 3 5 6 24 30 60 and are factors of 12. and are multiples of 15. 11 Work out. 3 125 = 2 = 5 = 5 0 12 (c) The gradient L passes throught the point (1,2). The gradient of line L is 3. Draw line L on the grid. 13 A group of students is asked how long they spend doing homework. The pie charts summarise the results.
Use the pie charts to decide whether each statement is true, false or there is not enough inf ormation to decide. ( i) All of the boys spend less than 6 hours doing hom ework. True False Not enough inf ormation Re ason ( ii) The total number of boys is the same as the total number of girls. True False Not enough inf ormation Re ason ( iii) The boys ' mod e is 6 hours. True False Not enough inf ormation Re ason Paper 2 Checkpoint 2012 1 Here are the ages of a group of office workers. 45 18 27 26 32 28 47 30 35 Work out (i) the median age (ii) the mean age 2 3 a) The cost of a computer repair is worked out using the formula C = 35 + 15h where C is the cost in dollars and h is the time taken in hours.
Use the formula to find (i) the cost of a repair that takes 3 hours (ii) the time taken for a repair that costs $110 b) Rearrange the formula k = 3m 2 to make m the subject 4 Here is part of a bus timetable. All of the busses are on time. a) Nihal gets to the bus stop at Sought Hill at 14 50. (i) At what time does the next bus arrive? (ii) Write your answer to part (i) using 12-hour clock. b) Meera catches the 14 58 bus from the Hospital. Work out how long it takes to get to the Bus Station. c) The distance from the Business Park to South Hill is 10km. Give your answer in kilometer per hour. 5
6 The diagram shows triangles A and B and point P and R on a grid. (a) Mark the point (3,2). Label it Q. (b) Point M is the midpoint of the line PR. Write down the coordinates of M. (c) Reflect triangle A in the y-axis. Label the image C. (d) Describe in full the rotation that maps triangle A onto triangle B. 7 This cuboid has a pair of square faces, with edges length pcm. The total volume of the cuboid is 375cm 3. Calculate: a) the value of p b) the surface area of the cuboid. 8 ( a) Complete the table. ( b) Work out the number of counters in Pattern 10 ( c) Find the formula for the number of counters c, in pattern p ( d) Ameera thinks that she can make one of these patterns with exactly 60 counters. Explain why she is wrong.
9 (a) Calculate the area of this triangle. (b) The diagram shows the full-size net of a cuboid. Work out the volume of the cuboid in cm 3. Show your working clearly. (c) Calculate the area of the semicircle with radius 5cm. 10 Jamal uses two fair five-sided spinners in a game. His score is the total of the two numbers shown on the spinner. a) Complete the table to show all his possible scores. b) Give your answers as a fraction in its lowest form. Find the probability that Jamil gets a score of 10 a score of 1 a score less than 6 11 a) Lola buys a new car on credit. The total cost of the car is $6900. She pays a 20% deposit. How much is the deposit? b) Lola wins $240. She spends $48 on a dress. What percentage of the $240 has she spent?
12 c) Lola puts $150 into a bank account. The account pays 4% per annum simple interest. Work out the total amount of money in her account at the end of the year.