Reigate Grammar School 11 Plus Maths Entrance Exam Paper 2019Online Quiz view all papers Welcome to your REIGATE GRAMMAR SCHOOL 11 PLUS MATHS ENTRANCE EXAM PAPER - 1Time Allowed: 45 MinutesThis is a non-calculator paperWork through the paper carefullyYou do not have to finish everythingDo not spend too much time on any single questionShow any working in the spaces provided1) In a school there are 386 boys, 435 girls, and 76 staff. How many people are there inthe school? 897 797 787 895 795 None 2) Write the number ‘forty five thousand, seven hundred and two’ in figures. 45702 45720 45072 40572 4572 None 3) A bookshelf holds 28 books. A local library has 87 bookshelves. How many books doesthe Library have? 2436 1436 2336 1336 None of the Above None 4) Put these numbers in order of size, starting with the LARGEST: 7.7, 7.77, 7, 7.07, 7.707 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 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 None 6) What is the biggest number that divides into 16, 32, and 56? 8 4 6 10 12 None 7) A square has area 64cm². What is the perimeter of the square? 32cm 36cm 38cm 24cm 28cm None 8) (a) What is 10% of £760? 76 56 66 86 46 None (b) What is 15% of £760? 114 104 112 110 115 None 9) (a) What is 0.4 written as a fraction in its lowest terms? \[\frac{2}{5}\] \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{5}\] \[\frac{2}{3}\] None (b) What is 0.004 written as a fraction in its lowest terms? \[\frac{1}{250}\] \[\frac{1}{150}\] \[\frac{1}{25}\] \[\frac{1}{15}\] \[\frac{1}{125}\] None (c) What is 0.404 written as a fraction in its lowest terms? \[\frac{101}{250}\] \[\frac{101}{150}\] \[\frac{101}{350}\] \[\frac{105}{200}\] \[\frac{10}{250}\] None 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? \[\frac{2}{5}\] \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{5}\] \[\frac{2}{3}\] None 11) (a) Write 55% as a fraction in its lowest terms. \[\frac{11}{20}\] \[\frac{12}{20}\] \[\frac{13}{20}\] \[\frac{14}{20}\] \[\frac{11}{10}\] None (b) Write ³/5 as a decimal. 0.6 0.5 0.4 0.3 1.5 None 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 None 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 passengers 476passengers 560passengers 460passengers 566passengers None 14) Calculate:(a) ¾ × ¹/6 \[\frac{1}{8}\] \[\frac{1}{4}\] \[\frac{1}{6}\] \[\frac{1}{2}\] \[\frac{1}{9}\] None (b) ¾ ÷ ¹/6 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. 56 × 134 = 7504(a) Using the information given above, what is 7504 ÷ 56? 134 56 7504 286 None of the Above None (b) Using the information given above, what is 112 × 67 7504 7604 7405 7045 7054 None 18) Write down the next two numbers in the sequence:Answer: 2, 5, 10, 17, 26, 37 24, 35 27, 38 25, 36 23, 34 None 19) I think of a number, multiply it by 5, then subtract 3. The result is 57. What was thenumber I first thought of? 12 16 10 14 12 None 20) What are the missing numbers in the following calculations?(a) 56 + = 93 37 36 35 34 33 None (b) 182 ÷ = 14 13 12 14 11 16 None (c) (12 − ) × 12 = 96 4 6 8 2 3 None (d) 45 42 43 44 41 None 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? 2:32pm 2:30pm 2:23pm 2:20pm 2:35pm None 22) How many minutes are there in one day? 1440minutes 1699minutes 1211minutes 1472minutes 1575minutes None 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? 266 236 246 256 276 None (b) He can lay 7 bricks every 5 minutes. How long will it take him to build the wall? 29 28 30 27 26 None 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? 4 2 8 6 3 None 25) The diagram shows a regular pentagon.(a) Find the value of x. 4 3 2 5 6 None (b) Find the value of y. 13 12 11 10 14 None 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? 8 6 7 5 4 None (b) How many students favourite colour is NOT Blue? 20students 16students 10students 12students 14students None 27) Find the value of x in the quadrilateral shown. 75 45 85 65 70 None 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 hours 2 hours 3 hours 5 hours 6 hours None (b) Sarika can walk at 4km per hour. How far will she still have left to walk whenJulie finishes? 8km 12km 16km 6km 4km None 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\[m^{2}\] None 30) Karen and Fran have some money. Karen has £9 more than Fran, together they have£45. How much money does Karen have? 27 18 28 24 26 None 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) None (b) 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) None 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? 18 12 16 14 10 None 33) Which of these is the largest number? (You must show your working)(a) 2 + 0 × 1 + 9(b) 2 × 0 + 1 + 9(c) 2 + 0 × 1 × 9(d) 2 × 0 + 1 + 9(e) 2 × 0 × 1 × 9 2 + 0 × 1 + 9 2 × 0 + 1 + 9 2 + 0 × 1 × 9 2 × 0 × 1 × 9 None (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? 40 20 36 80 60 None (b) What values of a makes a ∎6 = 54? 5 9 4 6 7 None (c) Find b if b∎b = 32. -8, 4 -6, 2 8, -4 4, 8 None of the Above None 35) The bar graph below shows the number of cars in each household in a street.(a) How many households have 3 cars? 6 7 8 9 5 None (b) How many households are there in the street? 32 29 26 23 28 None (c) How many cars are there in the street? 54 44 64 50 60 None 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 None Time's up
