REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM PAPER – 1 by smoothmaths | Jul 2, 2020 | 0 comments Welcome to your REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM PAPER - 1 Time Allowed: 45 Minutes This 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 386 boys, 435 girls, and 76 staff. How many people are there inthe school?897797787895795 2) Write the number ‘forty five thousand, seven hundred and two’ in figures.457024572045072405724572 3) A bookshelf holds 28 books. A local library has 87 bookshelves. How many books doesthe Library have?2436143623361336None of the Above 4) Put these numbers in order of size, starting with the LARGEST: 7.7, 7.77, 7, 7.07, 7.7077.77, 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 three children go to the Zoo. If an adult ticket costs £9.50and a child ticket costs £2.60, how much change will they get if they pay with a £50note?£23.2£26.8£24.5£22.6£23.5 6) What is the biggest number that divides into 16, 32, and 56?8461012 7) A square has area 64cm². What is the perimeter of the square?32cm36cm38cm24cm28cm 8) (a) What is 10% of £760?7656668646 (b) What is 15% of £760?114104112110115 9) (a) What is 0.4 written as a fraction in its lowest terms?\[\frac{2}{5}\]\[\frac{1}{4}\]\[\frac{3}{4}\]\[\frac{1}{5}\]\[\frac{2}{3}\] (b) What is 0.004 written as a fraction in its lowest terms?\[\frac{1}{250}\]\[\frac{1}{150}\]\[\frac{1}{25}\]\[\frac{1}{15}\]\[\frac{1}{125}\] (c) What is 0.404 written as a fraction in its lowest terms?\[\frac{101}{250}\]\[\frac{101}{150}\]\[\frac{101}{350}\]\[\frac{105}{200}\]\[\frac{10}{250}\] 10) I have 6 blue counters and 4 red counters in a bag. What is the probability of choosinga red counter when I take a counter out of the bag?\[\frac{2}{5}\]\[\frac{1}{4}\]\[\frac{3}{4}\]\[\frac{1}{5}\]\[\frac{2}{3}\] 11) (a) Write 55% as a fraction in its lowest terms.\[\frac{11}{20}\]\[\frac{12}{20}\]\[\frac{13}{20}\]\[\frac{14}{20}\]\[\frac{11}{10}\] (b) Write ³/5 as a decimal.0.60.50.40.31.5 12) Tina owed Josh £23.80. She paid him back with three £10 notes but he did not haveany change. How much does Josh now owe Tina?£6.20£7.20£5.20£8.20£9.20 13) The train from Brighton to London has 12 carriages and each carriage can hold 48passengers. What is the largest number of passengers that can travel on the train?576 passengers476passengers560passengers460passengers566passengers 14) Calculate:(a) ¾ × ¹/6\[\frac{1}{8}\]\[\frac{1}{4}\]\[\frac{1}{6}\]\[\frac{1}{2}\]\[\frac{1}{9}\] (b) ¾ ÷ ¹/64\[\frac{1}{2}\]9\[\frac{1}{2}\]24 15) Calculate:3\[\frac{5}{12}\]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. 56 × 134 = 7504(a) Using the information given above, what is 7504 ÷ 56?134567504286None of the Above (b) Using the information given above, what is 112 × 6775047604740570457054 18) Write down the next two numbers in the sequence:Answer: 2, 5, 10, 17,26, 3724, 3527, 3825, 3623, 34 19) I think of a number, multiply it by 5, then subtract 3. The result is 57. What was thenumber I first thought of?1216101412 20) What are the missing numbers in the following calculations?(a) 56 + = 933736353433 (b) 182 ÷ = 141312141116 (c) (12 − ) × 12 = 9646823 (d) 4542434441 21) Tasweer is making some cupcakes. It takes her 15 minutes to prepare the ingredients,the cakes take 18 minutes to bake and she needs to leave them for 10 minutes to cooldown. If she wants to eat them at 3:15pm, what time should she start preparing theingredients?2:32pm2:30pm2:23pm2:20pm2:35pm 22) How many minutes are there in one day?1440minutes1699minutes1211minutes1472minutes1575minutes 23) Martin the builder needs to build a wall 19 bricks wide and 14 bricks high.(a) How many bricks will there be in the wall?266236246256276 (b) He can lay 7 bricks every 5 minutes. How long will it take him to build the wall?2928302726 24) On January 1st, the temperature in Helsinki was -4°C and the temperature in Madridwas 12°C. The temperature in London was exactly half way between Helsinki andMadrid. What was the temperature in London?42863 25) The diagram shows a regular pentagon.(a) Find the value of x.43256 (b) Find the value of y.1312111014 26) A class of 32 students vote on their favourite colour.They then draw a pie chart to show their results.The pie chart is shown on the right.(a) How many students favourite colour is Green?86754 (b) How many students favourite colour is NOT Blue?20students16students10students12students14students 27) Find the value of x in the quadrilateral shown.7545856570 28) Julie and Sarika are doing a 24km sponsored walk.(a) Julie can walk at 6km per hour. How long will she take to finish the walk?4 hours2 hours3 hours5 hours6 hours (b) Sarika can walk at 4km per hour. How far will she still have left to walk whenJulie finishes?8km12km16km6km4km 29) The plan on the right shows a garden. There is a 2m wide path around the edge ofthe garden, with a swimming pool inside the path.Find the area of the path.76\[m^{2}\]74\[m^{2}\]72\[m^{2}\]78\[m^{2}\]70\[m^{2}\] 30) Karen and Fran have some money. Karen has £9 more than Fran, together they have£45. How much money does Karen have?2718282426 31) In the diagram below, the point A has coordinates (2, 4).(a) Write down the coordinates of point B.(3, 1)(2, 1)(4, 2)(2, 3)(-3, 1) (b) The point C has coordinates (6,2). Mark C onthe diagram. (c) Add one more point so that the four pointsmake a square. Write down the coordinates ofthis fourth point and label it D.(5, 5)(4, 5)(5, 6)(5, 4)(4, 4) 32) In a car park there are 48 cars. ³/8 of the cars are blue and 25% of the cars are red. How many cars are neither blue nor red?1812161410 33) Which of these is the largest number? (You must show your working)(a) 2 + 0 × 1 + 92 + 0 × 1 + 92 × 0 + 1 + 92 + 0 × 1 × 92 × 0 + 1 + 92 × 0 × 1 × 9 (b) 2 × 0 + 1 + 9 (c) 2 + 0 × 1 × 9 (d) 2 × 0 + 1 + 9 (e) 2 × 0 × 1 × 9 34) A new mathematical operation has been invented. For any two numbers x ∎ ymeans 'add 4 to x, then multiply by y' , so 8∎2 means 8 + 4, then x 2, giving 24.(a) What is 4∎5?4020368060 (b) What values of a makes a ∎6 = 54?59467 (c) Find b if b∎b = 32.-8, 4-6, 28, -44, 8None of the Above 35) The bar graph below shows the number of cars in each household in a street.(a) How many households have 3 cars?67895 (b) How many households are there in the street?3229262328 (c) How many cars are there in the street?5444645060 36) What is ¼ of 20% of ¹/6 of 40% of £1200?4\[\frac{1}{2}\]2\[\frac{1}{4}\]None of the Above Time is Up!