THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2011 – 2 by smoothmaths | Jul 12, 2020 | 0 comments Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2011 - 2 1 HourDo not open this booklet until told to do soCalculators may not be usedWrite your names, school and candidate number in the spaces provided at the top of the page.Show all your working in full, as this will be marked, and then writeAnswer all the questions, attempting them in order. If you find thatcannot answer a question straight away leave it blank and retur 1. To bake 2 cakes, Jo usesWrite down the amounts she needs for 5 cakes750g flour,20 eggs, 17.5tablespoons of milk, 95g coconut, 3.5ml vanila assence450g flour,15 eggs, 12.5tablespoons of milk, 65g coconut, 4.5ml vanila assence650g flour,19 eggs, 16.5tablespoons of milk, 75g coconut, 5.5ml vanila assence850g flour,12 eggs, 15.5tablespoons of milk, 85g coconut, 3 ml vanila assence550g flour,14 eggs, 14.5tablespoons of milk, 45g coconut, 5ml vanila assence 2. Write numbers in the boxes to make this division correct8 & 28 & 46 & 42 & 8None of the Above 2.(b) Write numbers in the boxes to make this subtraction correct7, 3, 75, 2, 78, 4, 85, 3, 56, 3, 7 3. A clock shows 2 o’clock, with the minute hand on 12 and the hour hand on 2.(a) How many times does the minute hand go past thehour hand between 2.00pm and 7.00pm?5times7times3times8times4times 3.(b) What time will the clock show when the hour hand hasturned through an angle of 60°?4:00pm2:00pm3:00pm5:00pmNone of the Above 3.(c) What time will the clock show when the minute handhas turned through an angle of 900°?4:30pm2:30pm3:30pm5:30pm6:30pm 3.(d) Through what angle will the minute hand have turnedfrom 2 o’clock, when the clock shows 10 o’clock?2880300027802500None of the Above 3.(e) Through what angle will the hour hand have turnedfrom 2 o’clock, when the clock shows 6:30?\[135^{o}\]\[125^{o}\]\[115^{o}\]\[145^{o}\]\[105^{o}\] 4. The formula to work out the sum of the angles inside any shape isSum of angles = 180° × number of sides – 360°For example,a + b + c + d + e = 180° × 5 – 360°= 900° – 360°= 540°(a) Find a\[110^{o}\]\[120^{o}\]\[100^{o}\]\[90^{o}\]None of the Above 4.(b) Find b\[130^{o}\]\[120^{o}\]\[110^{o}\]\[140^{o}\]\[100^{o}\] 4.(c) Find c\[45^{o}\]\[55^{o}\]\[35^{o}\]\[65^{o}\]None of the Above 5. In this pyramid of bricks, after the bottom row, the number on each brick is the product of the two bricks underneath it.For example, if we start withwe end up with(a) Fill in the remaining numbers on the bricks6, 12 & 728,12, & 967, 6 & 426, 6 & 3012, 9 & 108 5.(b) Fill in the numbers on the bottom row2, 7, 3, 93, 6, 5, 83, 6, 2, 72, 5, 4, 63, 8, 2, 7 5.(c) a and b are whole numbers, neither of which is 1.Find the values of a and b.15, 33 & 5, 315, 11 & 6, 511, 45 & 5, 412, 35 & 5, 6None of the Above 6. Draw in all the axes of symmetry in these shapes.If any shape has no axes of symmetry, write NONE inside the shape. 7. (a) Write down a number which has exactly three factors,including 1 and itself.4, 9, 258, 4, 64, 10, 93, 6, 8None of the Above 7.(b) Write down the smallest multiple of 17 which isgreater than 200.204221238255None of the Above 7.(c) Write down a prime number between 90 and 100.97939591Both a & d 7.(d) Write down a fraction which is between ¹/3 and ½\[\frac{5}{12}\]\[\frac{3}{4}\]\[\frac{1}{4}\]\[\frac{7}{12}\]\[\frac{3}{12}\] 7.(e) Write down a number whose square is between400 and 450.21202219None of the Above 8. The graph shows the number of pets owned by the children in aprimary school class.(a) How many girls own 2 pets?4321None of the Above 8.(b) How many more girls than boys are there in the class?1162153 8.(c) What fraction of the children in the class have no pets?\[\frac{9}{31}\]\[\frac{5}{16}\]\[\frac{4}{15}\]\[\frac{1}{1}\]None of the Above 8.(d) How many pets in total are owned by the boys?1915162018 9. When a gas meter was read in October 2010, the meter reading showed 3165 units.When it was read again, in January 2011, the meter reading was 3945.(a) Work out how many units of gas were used in the3 months from October to January.780units700units820units720units800units 9.(b) The cost of the gas is 7p for each unit. Also there isa fixed charge of £12.50 to be paid. Work out the totalcost of the gas and the fixed charge.£67.10£54.60£42.10£65.20£62.50 9.(c) Finally, 10% of this total is then added on for tax purposes.Work out the final cost.£73.81£60.06£46.31£71.72£68.85 10. Using the fact that 52 × 316 = 16 432, find the answers to(a) 5.2 × 3161643.21542.21642.21543.21613.2 10.(b) 16 432 ÷ 52316136336326216 10.(c) 5 200 × 0.3161643.21542.21642.21543.21613.2 10.(d) 16 432 ÷ 31605.24.22.56.25.6 10.(e) 26 × 15841083768276841683968 11. The table shows part of the railway timetable for trains from Andforth to Ermston.Some trains stop at stations between, and others are express trains.All stopping trains take the same time between stations as each other.(a) How many minutes does it take to travel from Andforthto Cheeble?35minutes45minutes25minutes55minutes38minutes (b) Complete the times in the table for the stopping trainwhich leaves Andforth at 15:34. 11.(c) How much longer does the stopping train take than theexpress for the journey from Andforth to Ermston?11minutes15minutes10minutes12minutes13minutes 11.(d) David lives in Bowlton and he wants to travel to Delf.He misses the 14:06 train by 10 minutes. How long willhe have to wait for the next train?48minutes40minutes38minutes28minutes50minutes 11.(e) The stopping trains travel at an average speed of36 miles per hour for the whole journey. Work out thedistance from Andforth to Ermston?33miles23miles43miles13milesNone of the Above 11.(f) Work out the average speed of the express trains in milesper hour.45mph35mph25mph55mphNone of the Above 12. In Madd arithmetic there are only four digits, 1, 2, 3, and 4.Here are the addition and multiplication tables for Madd arithmetic:So, for example, 2 + 3 = 1 and 3 × 4 = 2.Use the tables to find the answers to:(a) 3 + 323416 12.(b) 4 × 231246 12.(c) (3 × 4) × 242361 12.(d) (4 × 3) + (3 × 1)12345 12.(e) m + m = 2. What two possible numbers could m stand for?1, 32, 41, 43, 4None of the Above 12.(f) u + v = u × v where u and v are different numbers.What numbers do u and v stand for?2, 31, 31, 42, 43.2 12.(g) t + y = y where y can stand for any number.What number does t stand for?4231None of the Above 12.(h) (w × w) + w = w. What are the two possible numbersthat w could stand for?2, 31, 31, 42, 43, 4 13. This is a question which needs you to be organised, and to work in a logical manner. Set your answers out clearly.Write down(a) all the 3-digit numbers which can be made by using eachof the digits 1, 2, and 3 once only.123213, 231312, 321132All of the Above 13.(b) all the 4-digit numbers which can be made by using eachof the digits 1, 1, 2, and 2 once only.1122, 21211212, 212112212211All of the Above 13.(c) all the 5-digit numbers which can be made by using eachof the digits 1, 1, 1, 2 and 3 once only.11123, 11132, 2131111213, 11312, 2113111231, 11321, 2111312113, 13112, 31211All of the Above Time is Up!