REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM SAMPLE PAPER by smoothmaths | Jul 2, 2020 | 0 comments Welcome to your REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM SAMPLE PAPER Time 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 provided 1)In a school there are 465 boys, 531 girls, and 89 staff. How many people are there inthe school?897797787895795 2) Write the number ‘thirty six thousand and forty three’ in figures.457024572045072405724572 3) A train carriage has 62 seats, if the train has 12 carriages what is the largest number of passengers it can seat?2436143623361336None of the Above 4) Put these numbers in order of size, starting with the LARGEST: 3.33, 3.03, 3.3, 3, 3.3037.77, 7.707, 7.7, 7.07, 77, 7.77 7.707, 7.07, 7.77.77, 7.7, 7.707, 7, 7.077.77, 7.07, 7.707, 7, 7.77, 7.07, 7.7, 7.707, 7.77 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 6) What is the biggest number that divides into 14, 35, and 42?8461012 7) A square has area 49cm². What is the perimeter of the square?32cm36cm38cm24cm28cm 8) (a) What is 10% of £950?7656668646 8.(b)What is 11% of £950?114104112110115 9) (a) What is 0.8 written as a fraction in its lowest terms?\[\frac{2}{5}\]\[\frac{1}{4}\]\[\frac{3}{4}\]\[\frac{1}{5}\]\[\frac{2}{3}\] 9.(b)What is 0.08 written as a fraction in its lowest terms?\[\frac{11}{20}\]\[\frac{12}{20}\]\[\frac{13}{20}\]\[\frac{14}{20}\]\[\frac{11}{10}\] 10) How many spots are there on a normal six-sided dice?\[\frac{2}{5}\]\[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{2}{3}\]\[\frac{3}{4}\] 11) (a) Write 62% as a fraction in its lowest terms.\[\frac{11}{20}\]\[\frac{12}{20}\]\[\frac{13}{20}\]\[\frac{14}{20}\]\[\frac{11}{10}\] 11(b) Write ¹/8 as a decimal.\[\frac{3}{5}\]\[\frac{2}{5}\]\[\frac{1}{5}\]\[\frac{4}{5}\]\[\frac{3}{4}\] 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 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 passengers476passengers560passengers460passengers566passengers 14)Calculate: (a) ³/8 × ¼\[\frac{1}{8}\]\[\frac{1}{3}\]\[\frac{1}{6}\]\[\frac{1}{9}\]\[\frac{1}{4}\] 14.(b) ³/8 ÷ ¼4\[\frac{1}{2\]9\[\frac{1}{2\]24 15) Calculate3\[\frac{5}{12}\]3\[\frac{1}{4}\]5\[\frac{3}{12}\]2\[\frac{6}{12}\]None of the Above 16) Calculate7\[\frac{11}{42}\]5\[\frac{9}{42}\]11\[\frac{7}{42}\]8\[\frac{12}{42}\]None of the Above 17) This multiplication has been worked out for you. 41 × 131 = 5371(a) What is 5371 ÷ 131?134567504286None of the Above 17.(b) What is 4.1 × 13.175047604740570457054 18) Write down the next two numbers in the sequence:Answer: 14, 10, 6, 2,26, 3724, 3527, 3825, 3623, 34 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?1216101412 20) What are the missing numbers in the following calculations?(a) 35 + %BLANK% = 783736353433 20.(b) 156 ÷ %BLANK% = 121312141116 20.(c) ( 7 - %BLANK% ) × 13 = 7846823 20.(d)4542434441 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?2:32pm2:30pm2:23pm2:20pm2:35pm 22) Subtract the number of hours in a day from the number of seconds in a minute.1440minutes1699minutes1211minutes1472minutes1575minutes 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?266236246256276 23.(b) She can lay 6 bricks every 4 minutes. How long will it take her to build the wall?2928302726 24) Write down the next two numbers in the sequence: Answer: 1, 4, 9, 16,42863 25) The diagram shows an equilateral triangle. (a) Find the value of x.43256 25.(b) Find the value of y.1312111014 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?86754 26.(b) How many cars are there which are NOT grey?20 students16students10students12students14students 27) Find the value of x in the triangle shown.\[75^{o}\]\[45^{o}\]\[85^{o}\]\[65^{o}\]\[70^{o}\] 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 hours2 hours3 hours5 hours6 hours 28.(b) Gary can walk at 5km per hour. How far will he still have left to walk when Josh finishes?8km12km16km6km10km 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.\[76m^{2}\]\[74m^{2}\]\[72m^{2}\]\[78m^{2}\]\[70m^{2}\] 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?2718282426 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) (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) 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?1812161410 33) Which of these is the largest number?2+0+1+82×0+1+82+0×1+82+0+1×82×0×1×8 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?4020368060 34.(b) What values of a makes a * 7 = 42 ?59647 34.(c) Find b if b * b = 28.-8, 4-6, 28, -44, 8 35) The bar graph below shows the number of pets in each house in a street.(a) How many houses have 2 pets ?67895 35.(b) How many houses are there in the street?3229262328 35.(c) How many pets are there in the street?5444645060 36) What is 20% of 30% of 40% of £50?4\[\frac{1}{2}\]2\[\frac{1}{4}\]None of the Above Time is Up! Time's up