REIGATE GRAMMAR SCHOOL 13+ Paper 3 by smoothmaths | Oct 29, 2020 | 0 comments Welcome to your REIGATE GRAMMAR SCHOOL 13+ Maths Entrance Examination 2018 1. In a school there are 465 boys, 531 girls, and 89 staff. How many people are there in the school?108599698510751065 2. Write the number ‘thirty six thousand and forty three’ in figures .3604336430306403640336340 3. A train carriage has 62 seats, if the train has 12 carriages what is the largest number of passengers it can seat?744644850550784 4. Put these numbers in order of size, starting with the LARGEST: 3.33, 3.03, 3.3, 3, 3.33.33, 3.303, 3.3, 3.03, 33, 3.303, 3.3, 3.03, 3.333.3, 3, 3.33, 3.303, 3.033, 3.03, 3.3, 3.33, 3.3033.33,3.303,3.3,3, 3.03 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?2.21.23.24.35.2 6. What is the biggest number that divides into 14, 35, and 42? 7235None of the Above 7. A square has area 49\[cm^{2}\]. What is the perimeter of the square? 28cm14cm7cm21cm35cm 8. (a) What is 10% of £950? £95£90£96£94£98 (b) What is 11% of £950?£104.5£102.5£100£105£103.5 9. (a) What is 0.8 written as a fraction in its lowest terms? 4/55/41/51/41/2 (b) What is 0.08 written as a fraction in its lowest terms?2/251/251/56/254/25 (c) What is 0.88 written as a fraction in its lowest terms? 22/2523/2524/2521/2519/25 10. How many spots are there on a normal six-sided dice?2115161817 11. (a) Write 62% as a fraction in its lowest terms.31/5041/5021/5051/5023/50 (b) Write \[\frac{1}{8}\] as a decimal.0.1251.251.021.52None of the Above 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?£7.30£9.30£8.30£5.30£6.30 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?1044 Passengers1040 Passengers1050 Passengers1054 Passengers1035 Passengers 14. Calculate: (a) \[\frac{3}{8}\] × \[\frac{1}{4}\]3/323/223/24 or 1/832/3Both a & d (b) \[\frac{3}{8}\] ÷ \[\frac{1}{4}\]3/22/31/21/31/4 15. Calculate 5 \[\frac{3}{8}\] - 2\[\frac{1}{4}\]3 1/88 1/31 3/83 2/31 5/8 16. Calculate 3 \[\frac{5}{6}\] - 4 \[\frac{2}{3}\]8 1/21 1/41 1/22 1/4None of the Above 17. This multiplication has been worked out for you. 41 × 131 = 5371 (a) What is 5371 ÷ 131?4121315161 (b) What is 4.1 × 13.1 53.7152.7149.750.7140.71 18. Write down the next two numbers in the sequence: 14, 10, 6, 2,-2, -6-4, -6-6, -8-5,-3-2, -4 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?3321234313 20. What are the missing numbers in the following calculations? (a) 35 + = 784333302313 (b) 156 ÷ = 12133101217 (c) (7 − ) × 13 = 7813524 (d) \[\frac{79 - .......... }{6}\] = 12 79536 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?3:183:103:003:083:15 22. Subtract the number of hours in a day from the number of seconds in a minute.3624203032 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?276 Bricks270 Bricks250 Bricks230 Bricks200 Bricks (b) She can lay 6 bricks every 4 minutes. How long will it take her to build the wall?184 minutes150 minutes180 minutes160 minutes120 minutes 24. Write down the next two numbers in the sequence: 1, 4, 9, 16,25, 3636, 4925, 4536, 40None of the Above 25. The diagram shows an equilateral triangle. (a) Find the value of x . 4cm2cm5cm3cm7cm (b) Find the value of y. 8cm4cm12cm3cm9cm 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? 30 cars20 cars40 cars32 cars15 cars (b) How many cars are there which are NOT grey? 75 cars45 cars60 cars85 cars65 cars 27. Find the value of x in the triangle shown. 55o75o45o60o80o 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?6 Hours3 Hours4 Hours5 Hours8 Hours (b) Gary can walk at 5km per hour. How far will he still have left to walk when Josh finishes?6 Km3 km4 km5 km8 km 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. Width=Width= 45cmWidth= 55cmWidth= 35cmWidth= 25cmWidth= 15cm Height=Height= 35cmHeight= 45cmHeight= 45cmHeight= 35cmHeight= 25cm 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?36 sweets29 sweets7 sweets56 sweets58 sweets 31. In the diagram below, the point p has coordinates (1,3). (a) Write down the coordinates of point Q. (3,1)(1,3)(-3,1)(3,-1)(-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.(3,5)(5,3)(-3,5)(-5,3)(-5,-3) 32. In an orchestra there are 60 children. If \[\frac{1}{5}\] play the recorder and 40% play the triangle, how many children play something else?24361260None of the Above 33. Which of these is the largest number? (i)2+0+1+8 (ii)2×0+1+8 (iii)2+0×1+8 (iv)2+0+1×8 (v)2×0×1×82+0+1+82x0+1+82+0x1+82+0+1x82x0x1x8 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?2035301525 (b) What values of a makes a ⋆ 7 = 42? 9637None of the Above (c) Find b if b ⋆ b = 28.7-483Both a & b 35. The bar graph below shows the number of pets in each house in a street. (a) How many houses have 2 pets?10 Houses9 Houses12 Houses15 Houses14 Houses (b) How many houses are there in the street? 36 Houses21 Houses26 Houses24 Houses15 Houses (c) How many pets are there in the street?47 Pets0 pets12 Pets20 Pets15 Pets 36. What is 20% of 30% of 40% of £50?£1.2£3.2£2.3£2.1£4.2 Time is Up! Time's up