THE MANCHESTER GRAMMAR SCHOOL 11 PLUS PAPERS (2010-2018) ARITHMETIC – A -2016 by smoothmaths | Jul 10, 2020 | 0 comments Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS PAPERS (2010-2018) ARITHMETIC - A -2016 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. 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 983 + 25412371137133714371537 2. Work out 573 x 30017190015190017191519181009 3. Write 7/20 as a decimal number.0.350.250.0350.150.45 4. What fraction of a day is 9 hours? Write your fraction in itssimplest form.\[\frac{3}{8}\]\[\frac{1}{3}\]\[\frac{1}{4}\]\[\frac{3}{2}\]\[\frac{1}{8}\] 5. What is the missing decimal number in this list2.7, 4.3, ........., 7.5, 9.15.94.96.95.66.5 6. Work out 4¼ - 1³/5\[\frac{53}{20}\]2\[\frac{13}{20}\]2\[\frac{11}{17}\]\[\frac{39}{13}\]both a&b 7. Work out 6.48 – 0.6, writing your answer as a decimal number.10.89.812.515.213.4 8. Subtract the difference between 62 and 35 from the productof 13 and 6.5141617131 9. One of the angles in a triangle is 40°. One of the remainingtwo angles is three times larger than the other angle. What isthe largest angle in the triangle?10512035130160 10. A shop reduces its prices by 20% in a sale. David bought acoat for £40 in the sale. How much would the coat havecost him before the sale?£ 50£ 40£ 30£ 60£ 20 11. Nigel folds a square piece of paper in half to give a rectanglewhich has a perimeter of 36 cm. What is the area of theoriginal square?144124134154164 12. Rachel buys three identical bags of sweets and five cans ofdrink, the total cost of these items came to £4.90. Rosie buysjust one bag of sweets and three cans of drink and pays £2.70.What is the cost of a bag of sweets?30p40p50p60p20p 13. Tim has three apples. The mean (average) weight of thethree apples is 90 grams. When Tim eats the largest apple,the mean weight of the remaining two apples is just 70 grams.What was the weight of the largest apple?130g120g140g150g160g 14. In the sequence of numbers which starts 2, 3, 5, 9, .........each number is one less than two times the previous numberin the list. What is the number in the list immediatelybefore 257?129139128140150 15. A plant is growing at a steady rate of 0.2 cms every day.At midday on January 19th the plant was 6 cms high.What will the date be when it reaches a height of 11 cm?Feb 13thFeb 15thJan 31stFeb 18thFeb 20th 16. A bag contains coloured counters of just two colours.There are twenty green counters numbered 1 to 20 andthirty blue counters numbered 1 to 30. What is the probabilityof picking a counter from the bag which is a multiple of four?\[\frac{6}{25}\]\[\frac{11}{25}\]\[\frac{1}{3}\]\[\frac{1}{3}\]\[\frac{7}{29}\] 17. Lathes Engineering produces ten boxes of screws everyminute. It has to produce 48,000 boxes of screws in five days.If its machines work an equal amount of time each day, workout the number of hours which will be needed each day toproduce the boxes of screws needed.16hrs12hrs18hrs20hrs24hrs 18. At Frantic Junction, trains arrive at regular intervals on threedifferent lines. On the line from Aytown, trains arrive every15 minutes. On the line from Beeville, they arrive every12 minutes and from Ceeford they arrive every 8 minutes.At 10.00am a train from each town arrives at Frantic Junction.What is the next time that three trains will arrive together.12:00pm1:00pm2:00pm11:00am12:30pm 19. Irfan has six fraction cards as shown belowWrite down a possible way in which he can addthree or more cards to get the answer ½\[\frac{1}{4}\] + \[\frac{1}{6}\] + \[\frac{1}{12}\]\[\frac{1}{4}\] + \[\frac{1}{8}\] + \[\frac{1}{24}\]\[\frac{1}{24}\] + \[\frac{1}{12}\] + \[\frac{1}{8}\]\[\frac{1}{8}\] + \[\frac{1}{6}\] + \[\frac{1}{3}\]both a & b 20. 83 is a prime number. If Nancy reverses the order of thedigits she gets 38 which is not prime. How many two digitprimes do give a different prime number when their digitsare reversed?87659 Time is Up!