MATHEMATICS ENTRANCE EXAMYear 9 Entry Time allowed: 90 minutesINSTRUCTIONS TO CANDIDATES •Write your name in the space provided•Calculators are permitted•Always make your method clear and show your working•Answer all questions •Show units where applicable and give answers to 3 significant figures unless otherwise statedCANDIDATE NAME:SCORE:PERCENTAGE:www.mymathscloud.com
Q1.(a) Write down the number marked by the arrow...............................................................................................................................................(1)(b) Write down the number marked by the arrow...............................................................................................................................................(1)(c) Find the number 3.6 on the number line above.Mark the number with an arrow (↑).(1)(3 marks)Q2. (a) Factorise 4x + 10y..................................................(1)(b) Factorise x2 + 7x.................................................. (1)(2 marks)www.mymathscloud.com
Q3. Here is a two-stage number machine.It multiplies by 5 and then subtracts 3(a) Complete the table.InputOutput1 2 7 -3 7 47(2)Here is a different two-stage number machine.When the input is 10, the output is 60(b) Complete the number machine.(1)(3 marks)Q4. Buses to Exeter leave a bus station every 20 minutes.Buses to Plymouth leave the bus station every 16 minutes.A bus to Exeter and a bus to Plymouth both leave the bus station at 8am.When will buses to Exeter and Plymouth next leave the bus station at the same time?..............................................................................................................................................(3 marks)www.mymathscloud.com
Q5. From the numbers in the cloud,(a) write down a square number,..............................................................................................................................................(1)(b) write down a multiple of 7,..............................................................................................................................................(1)(c) write down a factor of 30..............................................................................................................................................(1)(3 marks)Q6. (a) Solvex + 9 = 19. . . . . . . . . . . . . . . . . . . . . . (1)(b) Solve 2y = 17. . . . . . . . . . . . . . . . . . . . . . (1)(c) Solve48w=. . . . . . . . . . . . . . . . . . . . . . (1)(d) Expand 3(2 + t) . . . . . . . . . . . . . . . . . . . . . . (1)(4 marks)www.mymathscloud.com
Q8. The table gives information about the number of goals scored by a football team in each match last season.Number of goalsFrequency0 4 1 5 2 4 3 7 4 4 (a)Write down the modal number of goals scored.....................................(1)(b) Work out the total number of goals scored by the team last season.............................................(2)(3 marks)www.mymathscloud.com
