The Manchester Grammar School Entrance Examination 2011 Arithmetic Paper 1 Online Quiz view all papers Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2011 - 1Write your names, school and candidate number in the spaces provided at the top of the page.You have 30 minutes for this paper which is worth 20 marks.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. Do not leave blank answer spaces, makethe best attempt at an answer that you can.If you need to change an answer cross it out neatly and write the new answer alongside the box.1. Work out 483 + 249. 732 722 632 622 832 None 2. Work out 187 × 60. 11220 10820 6220 6820 1122 None 3. Work out 22½ ÷ 5. 4 \[\frac{1}{2}\] 3 \[\frac{1}{2}\] 2 \[\frac{1}{3}\] 3 \[\frac{1}{4}\] 4 \[\frac{1}{3}\] None 4. Write in figures the number one million ten thousandand one. 1010001 110001 100001 101001 1001001 None 5. What is the product of the sum of 8 and 4 with thedifference of 3 and 12? 108 98 106 72 84 None 6. How many 2-digit numbers contain at least one 4? 18 10 15 16 20 None 7. A baby crocodile grows by ¹/5 of its length every week.Today it is 30cm long. How long was it last week? 25cm 36cm 20cm 15cm 10cm None 8. Rodger has seven cubes, each one with edges 1 cmlong. He glues one face of each of six of the cubes,and sticks them, one to each face of the seventh.He then paints the shape he has made. What area is painted? 30\[cm^{2}\] 20\[cm^{2}\] 25\[cm^{2}\] 15\[cm^{2}\] 60\[cm^{2}\] None 9. Neil drives his car for 20 minutes at 45 kilometres per hour.Stephen does the same journey at a speed of30 kilometres per hour. How long did it take him? 30mins 15mins 45mins 20mins 35mins None 10. A child’s building brick measures 2 centimetres by3 centimetres by 4 centimetres. What is the greatestnumber of these bricks which can be packed into a boxwhich measures 16 centimetres by 15 centimetres by10 centimetres? 100 10 50 80 20 None 11. Work out 15% of £3. 45p 35p 55p 65p 25p None 12. The facsum of a number is the sum of all its factors.For example, the facsum of 6 is 12 because1 + 2 + 3 + 6 = 12. Work out the facsum of 20. 42 32 22 38 40 None 13. Write 0.36 as a fraction in its simplest form. \[\frac{9}{25}\] \[\frac{3}{27}\] \[\frac{1}{3}\] \[\frac{9}{21}\] \[\frac{3}{4}\] None 14. I have some 20p pieces. I have twice as many 10p piecesas 20p pieces. I have twice as many 5p pieces as I have 10ppieces. I have £4.80 altogether. How many coins do I have? 56 42 49 63 35 None 15. Irfan is standing in a queue of 24 people.What position is he in the queue if there are 7 morepeople ahead of him than behind him? 8 9 7 6 10 None 16. How much is ¾ Of ²/5 of £1? 30p 10p 40p 20p 60p None 17. Three CDs and two DVDs cost £43. Two CDsand three DVDs cost £47. What is the cost of one CD? 7 6 8 9 14 None 18. The area of a rectangle is 72 square centimetres.The length of the rectangle is 1 cm more than the width.Work out the length of the perimeter of the rectangle. 34cm 17cm 32cm 54cm 40cm None 19. Four boys have an average mass of 50 kg andsix girls have an average mass of 40 kg.What is the average mass of the ten children? 44kg 33kg 22kg 55kg 60kg None 20. Ten cards numbered from 1 to 10 are put in order in a pile, with 1 onthe top. I move one card from the top and place it at the bottom,and then throw the new top card away. Then I put the new top cardto the bottom, and this time a second top card to the bottom,before throwing away the next one. Now I put the new top card tothe bottom, the next top card to the bottom, and now a third top cardto the bottom, before throwing the next one away. Finally, I put thetop card to the bottom, the next top card to the bottom, the next topcard to the bottom, a fourth top card to the bottom, and throwaway the next card. What number is on the card now at thetop of the pile? 7 8 10 5 3 None Time's up
