MAGDALEN COLLEGE SCHOOL 11 PLUS MATHS SAMPLE PAPER by smoothmaths | Jun 30, 2020 | 0 comments Welcome to your MAGDALEN COLLEGE SCHOOL 11 PLUS MATHS SAMPLE PAPER Please read this information before the examination starts. This examination is 55 minutes long. Please try all the questions. Calculators are not allowed. This test is designed to be challenging, so you may not find all the questions straightforward and you may not finish the whole paper. Read each question very carefully, think for a while and if you still do not understand what you need to do, move on to the next question. All workings and calculations should be written in the spaces provided. Marks are awarded for correct workings, even if you don't get as far as an answer. Keep working steadily and carefully. Then if you have time at the end, go back and try to tackle any questions you did not find so easy when you first saw them. There are 18 questions on this test, including Q18 on the back page Good Luck! 1. Work out:a) 153+78231221131121241 1.b) 185 –43142152162122132 1.c) 532 − 85447455445457None of the Above 1.d) 53 × 9477457467447487 1.e) 37 × 23851741751811711 1.f) 238 ÷ 73424434436 1.g) 442 ÷ 172632282422 2. Find the perimeter and area of this shape: Perimeter = %BLANK% cm Area = %BLANK% cm2Perimeter = 24cm, Area = 30cm2Perimeter = 20cm, Area = 25cm2Perimeter = 16cm, Area = 36cm2Perimeter = 22cm, Area = 32cm2Perimeter = 22cm, Area = 30cm2 3. Calculate, giving your answer as simply as possiblea) 5/12 + 4/12\[\frac{3}{4}\]\[\frac{3}{2}\]\[\frac{1}{4}\]\[\frac{1}{2}\]None of the Above 3.b) 1/6 + 1/3\[\frac{1}{2}\]\[\frac{1}{6}\]\[\frac{1}{3}\]\[\frac{3}{4}\]\[\frac{1}{4}\] 4. Find: a) 30% of £70£21£41£11£31None of the Above 4.b) a fifth of £70£14£10£12£16£18 4.c) 80% of a half of £70£28£18£24£36£26 5. Find the missing angles (diagrams not to scale):Answer: a = Answer: b =a = \[50^{o}\] , b = \[30^{o}\]a = \[40^{o}\] , b = \[12[0^{o}\]a = \[60^{o}\] , b = \[110^{o}\]a = \[30^{o}\] , b = \[120^{o}\]a = \[45^{o}\] , b = \[130^{o}\] Answer: c = Answer: d =c = \[28^{o}\] , d = \[28^{o}\]c = \[38^{o}\] , d = \[38^{o}\]c = \[28^{o}\] , d = \[38^{o}\]c = \[18^{o}\] , d = \[18^{o}\]c = \[18^{o}\] , d = \[28^{o}\] 6. Find the next 2 numbers in the following sequences:a) 3, 7, 11, 15, 1923, 2721, 2324, 2922, 25None of the Above 6.b) 3, 6, 12, 2448, 9636, 7228, 5630, 66None of the Above 6.c) 3, 5, 9, 15, 2333, 4527, 3130, 4230, 4034, 46 6.d) 1/5 , 3/10 , 5/17 , 7/26\[\frac{9}{37}\] , \[\frac{11}{50}\]\[\frac{6}{37}\] , \[\frac{7}{46}\]\[\frac{5}{35}\] , \[\frac{12}{49}\]\[\frac{7}{36}\] , \[\frac{11}{49}\] 7. Complete the table below, giving fractions in their lowest terms. Fraction Decimal Percentage 50% 0.75 3/5 17/20 8. The table shows part of the railway timetable from Edinburgh to St Andrews. Some trains stop at every station and others are express trains. All stopping trains take the same time between each station as each other.a) How many minutes does it take to travel between Edinburgh and Kircaldy?35254536None of the Above b) Complete the times in the boxes in the table above for the stopping train that leaves Edinburgh at 15:34 8.c) How much longer does the stopping train take than the express train for the journey from Edinburgh to St Andrews?11min15min10min12min14min 8.d) James arrives at Edinburgh airport at 13:05. It takes him 27 minutes to get from the plane and collect his baggage. It then takes him 45 minutes to get to Edinburgh railway station. How long does he have to wait for the next train to St Andrews?7min27min12min11min10min 9. For each shape draw a rectangle that has the same area as the shape on the left. The first one is done for you. 10. James was given £15 to buy supplies for the university year. He chose to spend it on pens and pencilsa) If James buys 5 pens and 7 pencils, how much money will he have left?£3.15£5.15£2.15£4.15£1.15 10.b) If instead James buys a set of 5 pencils, what is the maximum number of pens he can buy?8796None of above 10.c) If instead James ends up with £2.80 left of his money how many pens and how many pencils did he buy?4 pens, & 9 pencils5 pens, & 9 pencils9 pens, & 4 pencils5 pens, & 10 pencils3 pens, & 8 pencils 11. 12 boy scouts will eat 30 loaves in 4 days.a) How many boy scouts will eat 60 loaves in 4 days?2432282220 11.b) How many days will it take 6 boy scouts to eat 30 loaves?8 days5 days7 days6 days9 days 11.c) How many loaves will 3 boy scouts eat in 8 days?159181210 12. Put these numbers in order from smallest to largest:60%, 0.66,\[\frac{2}{3}\] , \[\frac{17}{27}\]\[\frac{2}{3}\] , 0.66, 60%, \[\frac{17}{27}\]\[\frac{17}{27}\],\[\frac{2}{3}\], 60%, 0.6660%, \[\frac{17}{25}\], \[\frac{2}{3}\ 0.6660%, 17/25, 0.66, 2/3 13. There are four unknown positive whole numbers.The mean of the two smallest numbers is 3.The mean of the three smallest numbers is 5.The mean of all four numbers is 7.All the numbers are different and odd.What are the four numbers?1, 5, 9, 131, 3, 5, 93, 5, 7, 95, 7, 9, 11None of the Above 14. Ten green bottles hanging on a wallTen green bottles hanging on a wallIf one green bottle should accidentally fall,There’d be nine green bottles hanging on the wallNine green bottles…If the first bottle fell at ten past five in the morning (5.10am) and the others fell down at five minute intervals, at what time would the last bottle fall?5:555:155:255:305:45 15. The dotted line is a line of symmetry of a shape, which is partly drawn. On the grid complete the shape. 16. Here are five cards with numbers printed on them.The cards can be placed in order to form a 5-digit number.For example the smallest number that could be made with all 5 cards is: 16.a) Using all 5 cards what is the largest possible odd number8642786247846278426782647 16.b) Using all 5 cards what is the number that is closest to 50,000?48762486724826747682None of the Above 16.c) Using only two of the cards, what is the largest possible prime number?67874777None of the Above 16.d) Arrange any three of the number cards to give the largest possible answer to this multiplication76 x 878 x 667 x 886 x 7None of the Above 17. For each of the following questions you need to find a whole number between 0 and 100 that has the following properties.a) When the number is divided by 4 the remainder is 0.When the number is divided by 7 the remainder is 6.When the number is divided by 5 the remainder is 0.What is the number?2040306080 17.b) When the number is divided by 5 the remainder is 4.When the number is divided by 6 the remainder is 0.When the number is divided by 7 the remainder is 0.What is the number?8474645444 c) When the number is divided by 2 the remainder is 1.When the number is divided by 3 the remainder is 1.When the number is divided by 5 the remainder is 0.When the number is divided by 7 the remainder is 1.What is the number?85657595None of the Above 18. Place each whole number from 1 to 8 inclusive in one of the blank boxes below to make the calculations correct. The calculations read left to right and top to bottom. Time is Up!