Reigate Grammar School Entrance Examination Mathematics January 2018 Online Quiz view all papers Welcome to your REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM SAMPLE PAPERTime Allowed: 45 MinutesThis is a non-calculator paper• Work through the paper carefully• You do not have to finish everything• Do not spend too much time on any single question• Show any working in the spaces provided1)In a school there are 465 boys, 531 girls, and 89 staff. How many people are there inthe school? 897 797 787 895 795 None 2) Write the number ‘thirty six thousand and forty three’ in figures. 45702 45720 45072 40572 4572 None 3) A train carriage has 62 seats, if the train has 12 carriages what is the largest number of passengers it can seat? 2436 1436 2336 1336 None of the Above None 4) Put these numbers in order of size, starting with the LARGEST: 3.33, 3.03, 3.3, 3, 3.303 7.77, 7.707, 7.7, 7.07, 7 7, 7.77 7.707, 7.07, 7.7 7.77, 7.7, 7.707, 7, 7.07 7.77, 7.07, 7.707, 7, 7.7 7, 7.07, 7.7, 7.707, 7.77 None 5)A family with two adults and four children go to the circus. If an adult ticket costs £11.50 and a child ticket costs £3.70, how much change will they get if they pay with two £20 notes? £23.2 £26.8 £24.5 £22.6 £23.5 None 6) What is the biggest number that divides into 14, 35, and 42? 8 4 6 10 12 None 7) A square has area 49cm². What is the perimeter of the square? 32cm 36cm 38cm 24cm 28cm None 8) (a) What is 10% of £950? 76 56 66 86 46 None 8.(b)What is 11% of £950? 114 104 112 110 115 None 9) (a) What is 0.8 written as a fraction in its lowest terms? \[\frac{2}{5}\] \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{5}\] \[\frac{2}{3}\] None 9.(b)What is 0.08 written as a fraction in its lowest terms? \[\frac{11}{20}\] \[\frac{12}{20}\] \[\frac{13}{20}\] \[\frac{14}{20}\] \[\frac{11}{10}\] None 10) How many spots are there on a normal six-sided dice? \[\frac{2}{5}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{2}{3}\] \[\frac{3}{4}\] None 11) (a) Write 62% as a fraction in its lowest terms. \[\frac{11}{20}\] \[\frac{12}{20}\] \[\frac{13}{20}\] \[\frac{14}{20}\] \[\frac{11}{10}\] None 11(b) Write ¹/8 as a decimal. \[\frac{3}{5}\] \[\frac{2}{5}\] \[\frac{1}{5}\] \[\frac{4}{5}\] \[\frac{3}{4}\] None 12) Julie owed Tasweer £12.70. She paid her back with a £20 note but she did not have any change. How much does Tasweer now owe Julie? £6.20 £7.20 £5.20 £8.20 £9.20 None 13)The bus from Redhill to London can hold 58 passengers. If the bus travels to London 18 times a day, what is the maximum number of passengers that can get to London? 576 passengers 476passengers 560passengers 460passengers 566passengers None 14)Calculate: (a) ³/8 × ¼ \[\frac{1}{8}\] \[\frac{1}{3}\] \[\frac{1}{6}\] \[\frac{1}{9}\] \[\frac{1}{4}\] None 14.(b) ³/8 ÷ ¼ 4\[\frac{1}{2\] 9 \[\frac{1}{2\] 2 4 None 15) Calculate 3\[\frac{5}{12}\] 3\[\frac{1}{4}\] 5\[\frac{3}{12}\] 2\[\frac{6}{12}\] None of the Above None 16) Calculate 7\[\frac{11}{42}\] 5\[\frac{9}{42}\] 11\[\frac{7}{42}\] 8\[\frac{12}{42}\] None of the Above None 17) This multiplication has been worked out for you. 41 × 131 = 5371(a) What is 5371 ÷ 131? 134 56 7504 286 None of the Above None 17.(b) What is 4.1 × 13.1 7504 7604 7405 7045 7054 None 18) Write down the next two numbers in the sequence:Answer: 14, 10, 6, 2, 26, 37 24, 35 27, 38 25, 36 23, 34 None 19) I think of a number, divide it by 3, then add 7. The result is 18. What was the number I first thought of? 12 16 10 14 12 None 20) What are the missing numbers in the following calculations?(a) 35 + %BLANK% = 78 37 36 35 34 33 None 20.(b) 156 ÷ %BLANK% = 12 13 12 14 11 16 None 20.(c) ( 7 - %BLANK% ) × 13 = 78 4 6 8 2 3 None 20.(d) 45 42 43 44 41 None 21) Antony is making some cupcakes. It takes him 20 minutes to prepare the ingredients, the cakes take 22 minutes to bake and he needs to leave them for 10 minutes to cool down. If he wants to eat them at 4:10pm, what time should he start preparing the ingredients? 2:32pm 2:30pm 2:23pm 2:20pm 2:35pm None 22) Subtract the number of hours in a day from the number of seconds in a minute. 1440minutes 1699minutes 1211minutes 1472minutes 1575minutes None 23) Linda the builder needs to build a wall 23 bricks wide and 12 bricks high.(a) How many bricks will there be in the wall? 266 236 246 256 276 None 23.(b) She can lay 6 bricks every 4 minutes. How long will it take her to build the wall? 29 28 30 27 26 None 24) Write down the next two numbers in the sequence: Answer: 1, 4, 9, 16, 4 2 8 6 3 None 25) The diagram shows an equilateral triangle. (a) Find the value of x. 4 3 2 5 6 None 25.(b) Find the value of y. 13 12 11 10 14 None 26) Some children count the colours of 120 cars in a car park.They then draw a pie chart to show their results.The pie chart is shown on the right.(a)How many black cars are there? 8 6 7 5 4 None 26.(b) How many cars are there which are NOT grey? 20 students 16students 10students 12students 14students None 27) Find the value of x in the triangle shown. \[75^{o}\] \[45^{o}\] \[85^{o}\] \[65^{o}\] \[70^{o}\] None 28) Josh and Gary are doing a 36km sponsored walk.(a)Josh can walk at 6km per hour. How long will he take to finish the walk? 4 hours 2 hours 3 hours 5 hours 6 hours None 28.(b) Gary can walk at 5km per hour. How far will he still have left to walk when Josh finishes? 8km 12km 16km 6km 10km None 29) I have a painting in a frame. The frame is 75cm wide and 65cm high. There is a border 15cm wide around the painting. Find the width and height of the painting. \[76m^{2}\] \[74m^{2}\] \[72m^{2}\] \[78m^{2}\] \[70m^{2}\] None 30) Martin and Dai divide some sweets between them. There are 65 sweets, and Martin takes 7 more than Dai. How many does Martin take? 27 18 28 24 26 None 31) In the diagram below, the point P has coordinates (1,3).(a) Write down the coordinates of point Q. (3, 1) (2, 1) (4, 2) (2, 3) (-3, 1) None (b) The point R has coordinates (5, 3). Mark R on the diagram. (c) Add one more point so that the four points make a square. Write down the coordinates of this fourth point and label it S. (5, 5) (4, 5) (5, 6) (5, 4) (4, 4) None 32) In an orchestra there are 60 children. If ¹/5 play the recorder and 40% play the triangle, how many children play something else? 18 12 16 14 10 None 33) Which of these is the largest number? 2+0+1+8 2×0+1+8 2+0×1+8 2+0+1×8 2×0×1×8 None 34) A new mathematical operation has been invented. For any two numbers x * y means 'subtract 3 from x, then multiply by y' ,so 8 * 2 means 8-3, then ×2, giving 10.(a) What is 7 * 5? 40 20 36 80 60 None 34.(b) What values of a makes a * 7 = 42 ? 5 9 6 4 7 None 34.(c) Find b if b * b = 28. -8, 4 -6, 2 8, -4 4, 8 None 35) The bar graph below shows the number of pets in each house in a street.(a) How many houses have 2 pets ? 6 7 8 9 5 None 35.(b) How many houses are there in the street? 32 29 26 23 28 None 35.(c) How many pets are there in the street? 54 44 64 50 60 None 36) What is 20% of 30% of 40% of £50? 4 \[\frac{1}{2}\] 2 \[\frac{1}{4}\] None of the Above None Time's up
