The Manchester Grammar School Entrance Examination 2019 Arithmetic Section A Online Quiz view all papers Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS PAPERS (2010-2018) ARITHMETIC- A- 2019You have 30 minutes for this paper which is worth 20 marks.Each question is worth 1 mark.Answer all the questions, attempting them in order and writing youranswers clearly. If you find that you cannot answer a question straight away leave it blank and return to it later if you have time. Try not toleave blank answer spaces at the end, instead make the best attemptat an answer that you can.If you need to change an answer cross it out neatly and write the new answer alongside the box. You may use rough paper forworking out, this will not be marked.1. Work out 463 + 327 790 780 770 690 680 None 2. Express 18/25 as a decimal 0.72 0.07 7.2 0.62 0.82 None 3. Work out 547 x 3000 1641000 164100 16410 1621000 1521000 None 4. Work out 3.19 - 1.72 1.47 2.47 2.67 1.67 1.57 None 5. Add the product of 5 and 13 to the sum of 5 and 13 83 73 63 53 43 None 6. What is the missing number in this list 101, 86, 74, 65, ......, 56 59 60 57 55 58 None 7. Work out 3¾ ÷ 2½, giving your answer in its simplest form \[\frac{3}{2}\] 1 \[\frac{3}{2}\] 1 \[\frac{1}{3}\] 2 \[\frac{1}{4}\] both a & b None 8. What is 30% of 550cm³ 165 \[cm^{3}\] 155 \[cm^{3}\] 145 \[cm^{3}\] 185 \[cm^{3}\] 175 \[cm^{3}\] None 9. Express 42 minutes as a fraction of one hour, givingyour answer in its simplest form \[\frac{7}{10}\] \[\frac{1}{7}\] \[\frac{1}{3}\] \[\frac{2}{9}\] \[\frac{6}{11}\] None 10. What is the missing number in the following sum 4,060,800 = 4,000,000 + ............. + 800 60000 6000 600000 600 60001 None 11. John thinks of a number. He multiplies that number by fourand then adds three to the result. If the answer he obtains is35, what is the number he first thought of? 8 9 7 6 5 None 12. In a triangle, the largest angle is two times the middle angleand the middle angle is three times the smallest angle.What is the size of the largest angle? 108 68 18 120 110 None 13. Alison has 6 yellow discs, 5 blue discs and 9 red discs whichshe places in a bag. When she draws one disc out, what is theprobability that the disc is NOT red? \[\frac{11}{20}\] \[\frac{9}{20}\] \[\frac{13}{21}\] \[\frac{12}{25}\] \[\frac{18}{21}\] None 14. A shopkeeper buys a box of 60 apples for £12. If he finds that 1/10 of the apples are bad and can’t be sold, at what price must he sell each of the good apples so that he makes a total profit of £15? 50p 60p 70p 30p 40p None 15. In the picture below is the net of a cube. What would be thetotal surface area of the outside of the cube when the net ismade into the cube? 150 \[cm^{2}\] 160 \[cm^{2}\] 140 \[cm^{2}\] 170 \[cm^{2}\] 130 \[cm^{2}\] None 16. Two bottles of water and three small bags of fruit cost a totalof £2.55. If a bottle of water costs 15p more than a bag of fruit,what is the cost of a bag of fruit? 45p 55p 35p 15p 20p None 17. Bilal has made a box in the shape of a cuboid with sides 4cm,5cm and 32cm. He wants to make another different shaped boxbut with the same volume. This box will have a height of 10cmand a square base. What will be the length on the base? 8cm 10cm 16cm 12cm 14cm None 18. A large number of buses stop at the bus stop at the end ofOld Hall Lane. The 42 bus stops there every 6 minutes, the43 bus stops there every 8 minutes and the 45 bus stops every15 minutes. If all the buses stop at the Old Hall Lane stop at4.00pm, write down the total number of buses that will call at thestop between 4.20 and 4.50pm. 11 15 18 13 19 None 19. In a school table-tennis league each team plays each of theother teams twice during the year, once at home and onceaway. If there are 30 matches in total during the season, howmany teams are there in the table-tennis league? 6 -5 7 -4 8 None 20. Chen writes down a two digit number. He finds that if heswaps the digits of the number round, the new number hecreates is three more than one third of the original number.What was the original number? 72 84 80 90 64 None Time's up
