THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2013 – 1 by smoothmaths | Jul 12, 2020 | 0 comments Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2013 - 1 30 minutesDo not this booklet until told to do soCalculators may not be usedYou 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. Try not toleave blank answer spaces at the end, instead make the best attemptat an answer as 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. Write in figures the number two hundred and twelve thousandand fifty seven 212057 21257 201257 2012057 212507 None 2. Work out 675 - 428 247 257 267 277 347 None 3. Work out 254 x 80 20320 20020 16320 16020 2032 None 4. Write 0.28 as a fraction in its simplest form \[\frac{7}{25}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{11}{25}\] \[\frac{1}{28}\] None 5. What is the product of the sum of 6 and 3 with thedifference between 2 and 10 72 70 68 56 63 None 6. In a triangle, two angles are the same and the thirdangle is THREE times bigger than either of the others.What is the size of the biggest angle? 108 98 120 130 115 None 7. Neil thinks of a number, he halves it and then subtracts 9.If the answer he gets is 12, what was the original numberhe thought of? 42 6 7 32 22 None 8. John the electrician needs to cut three lengths of wire fromthe 5 metre roll he has brought with him to do a job. The threelengths he cuts are 85 cm, 2.5 metres and 650 mm. How muchwire (in cms) will he have left after cutting off his lengths? 100cm 200cm 300cm 400cm 500cm None 9. My digital watch is set to show time according to the 24 hourclock. It is currently showing 21:10. How long will it be until itnext shows a time with the digits 2, 1, 1 and 0 but in any order? 4hrs 2mins 4hrs 10mins 3hrs 15mins 5hrs 2mins 2hrs 20mins None 10. Two shirts and three tops cost £29. Three shirts and one topcost £19. What is the cost of a top? £ 7 £ 4 £ 8 £ 6 £ 5 None 11. Work out 2.35 x 1.8 4.23 4.19 4.03 3.99 2.15 None 12. Work out 15% of £5 75p 55p 85p 95p 65p None 13. Work out ¾ Of 5/6 Of 48 30 15 20 10 22 None 14. Two metal weights in the form of cuboids have the same volume.One is 20 cm long, 16 cm wide and 9 cm high. The otherweight is 10 cm wide and 12 cm high. What is its length if thevolume of a cuboid is given by length x width x height? 24cm 12cm 72cm 36cm 48cm None 15. On a wet week in Rusholme the mean (or average)rainfall over the five days from Monday to Friday was12 mm. On Monday, when the rain was heaviest therewas 22 mm, but on Friday there was only 5 mm of rain.What was the mean rainfall on the other three days? 11mm 8mm 15mm 18mm 12mm None 16. When I emptied my pockets recently I found I had amixture of 10p, 20p, 50p and £1 coins. When I countedthe value of all the coins, the total amount came to £7.20and there was equal numbers of each coin. How manycoins were there altogether? 16 4 8 24 32 None 17. In the sequence of numbers 2, 3, 5, 8, 12 . . . . . . . .what is the first three digit number? 107 109 110 120 105 None 18. What is the total when you add together all the factorsof 72 (including 1 and 72 itself)? 195 194 171 162 185 None 19. How many three digit numbers contain at least two sevens? 27 18 20 40 30 None 20. Alison has a large number of coloured pencils. When thepencils are divided between two of her friends there isone pencil left over. If they are divided between threefriends there are two left over. Between four friends therewould be three left over. Between five friends there wouldbe four left over and between six friends, five left over.What is the smallest number of coloured pencils thatAlison could have? 56 53 47 65 41 None Time's up