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 seven212057212572012572012057212507 2. Work out 675 - 428247257267277347 3. Work out 254 x 80203202002016320160202032 4. Write 0.28 as a fraction in its simplest form\[\frac{7}{25}\]\[\frac{1}{3}\]\[\frac{1}{5}\]\[\frac{11}{25}\]\[\frac{1}{28}\] 5. What is the product of the sum of 6 and 3 with thedifference between 2 and 107270685663 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?10898120130115 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?42673222 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?100cm200cm300cm400cm500cm 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 2mins4hrs 10mins3hrs 15mins5hrs 2mins2hrs 20mins 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 11. Work out 2.35 x 1.84.234.194.033.992.15 12. Work out 15% of £575p55p85p95p65p 13. Work out ¾ Of 5/6 Of 483015201022 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?24cm12cm72cm36cm48cm 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?11mm8mm15mm18mm12mm 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?16482432 17. In the sequence of numbers 2, 3, 5, 8, 12 . . . . . . . .what is the first three digit number?107109110120105 18. What is the total when you add together all the factorsof 72 (including 1 and 72 itself)?195194171162185 19. How many three digit numbers contain at least two sevens?2718204030 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?5653476541 Time is Up!