Merchant Taylors School 11 Plus Official Practice Online Quiz view all papers Welcome to your MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS SPECIMAN PAPER - 1Time Allowed: 60 minutesInstructions:Answer as many questions as possible. Some of themare easy at the start and become more difficult. Youshould show all your working on this question paper.1. Write down the names of the following shapes: Parallelogram Rectangle Square Trapezium None of the Above None Equilateral Triangle Isosceles Triangle Obtuse Triangle Acute Triangle None of the Above None Isosceles Trapezium Isosceles Parallelogram Isosceles Rectangle Isosceles Square None of the Above None 2. Put the following in order of size, with the smallest first. \[\frac{2}{5}\], \[\frac{3}{7}\], 0.43, 44% \[\frac{2}{5}\], \[\frac{3}{7}\], 43%, 0.43 \[\frac{3}{7}\], \[\frac{2}{5}\], 0.43, 44% \[\frac{2}{5}\], 0.43, \[\frac{3}{7}\], 44% 44%, 0.43, \[\frac{3}{7}\], \[\frac{2}{5}\] None 3. Write the next term in the following sequences:(a) 7, 9, 11, 13, 15, ______ 17 18 19 20 21 None (b) −1, -5, -9, -13, _____ -17 -16 -18 -19 -15 None (c) 1, 8, 27, 64, _____ 125 135 130 120 115 None 4. Arrange the digits 7, 6, 5, and 4 so that the resulting number is closest to fivethousand. 4765 4675 4756 4657 5467 None 5. State whether the following statements are: Certain Likely Evens Unlikely Impossible(a) You will get a head when you flip a coin. Evens Certain Likely Unlikely Impossible None (b) Tomorrow, I will find a £10 note on the floor. Unlikely Impossible Likely Evens Certain None (c) The sun will rise tomorrow morning. Certain Likely Unlikely Impossible Evens None 6. Here are four statements.For each statement put a tick ( ) in the box next to it if it is possible.Put a cross ( ) in the box if it is impossible. A triangle can have 2 acute angles. A triangle can have 2 obtuse angles. A triangle can have 2 parallel sides. A triangle can have 2 perpendicular sides. None 7. Four lamp posts are in a straight line. The distance from each post to the next is 25m.What is the distance from the first post to the last? 75 50 125 625 100 None 8. (a) Write down all the factors of 36. 1, 2 , 3, 4, 6, 9, 12, 18, 36 1, 3, 6, 9, 12, 18, 24, 32 1 ,2, 3, 5, 4, 12, 16,18, 24 1, 2, 3, 5, 7, 16, 38 None of the Above None (b) What is the highest common factor of 36 and 18? 18 17 19 15 16 None (c) What is the lowest common multiple of 12 and 15? 60 50 40 30 70 None (d) Write down all the prime numbers between 50 and 60. 51 53 57 59 All of the above None 9. A class of pupils were surveyed to find out their favourite number. The results areshown in the bar chart below:(a) Which number was chosen most frequently? 7 8 6 5 4 None (b) How many pupils were in the class? 30 28 26 24 32 None 10. (a) According to Google, the area of London is 1572km². Round this number:(i) Correct to the nearest 10 km². 1570 1572 1568 1580 None of the Above None (ii) Correct to the nearest 100 km². 1600 1670 1570 1500 1590 None (b) Carpenter ants can measure up to 2.64cm long Round this number:(i) Correct to 1 decimal place. 2.6 2.7 2.4 2.8 2.5 None (ii) Correct to the nearest cm. 3 2 1 4 5 None 11. The table shows information about some goal scorers across 3 football leagues:From the players listed here,(a) which player scored the most goals? Christiano Ronaldo Anthony Modeste Romelo Lukako Timo Werner Iago Aspas None (b) which league did the player who scored the least goals play in? English German Spanish Italian None of the Above None (c) which league had the most goals scored in it by these players? German Italian English Spanish None of the Above None 12. Ali has six times as much chocolate as Beth. Carl has twice as much chocolate asBeth. If Carl has 200g of chocolate, how much chocolate does Ali have? 600 700 800 500 400 None 13. A right-angled triangle has the dimensions as shown. What is the area of theunshaded region? 3 4 2 5 6 None 14. Find 5% of 24. 1.2 2.2 0.2 4.2 3.2 None 15. (a) What temperature is 12 degrees colder than −4℃? -16 -10 -12 -8 -14 None (b) Raj is overdrawn at the bank by £40. His sister Sarina is richer than him by£70. How much money does Sarina have? 30 40 50 60 20 None 16. Simplify the following algebraic expressions:(a) 4p + 3q + 2p + 7q 6p + 10q 7p + 9q 5p + 12q 2p + 4q 6p + 12q None (b) 2a + 10b - a - 14b a - 4b a + 4b 3a + 24b 3a - 24b 2a - 2b None 17. The diagram shows a rectangle.The length of the rectangle is 2n + 1.The width of the rectangle is 3n – 9.Write down an expression for the perimeter of the rectangle. Fully simplify youranswer. 10n- 16 10n + 16 2n - 16 2n + 20 12n + 20 None 18. Year 8 were asked to choose their favourite colour. The pie chart below shows theresults of this survey.If 30 pupils chose red:(a) How many pupils are there in year 8? 120 100 90 115 130 None (b) How many pupils chose green or blue? 60 70 80 90 50 None 19. Jeff goes to the cinema. He buys a ticket for £5.75, popcorn for £1.50 and a drink for76p. His return train fare is £3.80. If he leaves home with a £20 note how muchchange does he return with? 8.91 11.81 10.50 7.91 9.81 None 20. Solve the following equations:(a) 2x - 3 = 11 7 8 6 5 4 None (b) 9 4 6 3 8 None (c) 3(x − 2) − 2(x − 3) = 4 4 5 6 7 None of the Above None 21. Write down two different odd prime numbers that add together to make a squarenumber.Answer: _____ And _____ 11 & 5 29,27 59, 5 All of the above None of the above None 22. Anna has 3 brothers and 5 sisters. Her brother Tom has S sisters and B brothers.What is the value of S × B? 12 8 14 10 16 None 23. What is the remainder when: 743589 × 301647 is divided by 5 ? 3 5 9 6 None of the Above None 24. Which fraction is half way between ³/7 and 4/7 ? Give your answer in its simplest form. \[\frac{1}{2}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{3}{4}\] \[\frac{2}{3}\] None 25. £50 000 in £50 notes weighs about 1.3Kg. How much, in grams, does one £50 noteweigh? 1.30 1.20 1.40 1.50 1.60 None 26. (a) Write down the name that is given to this type of triangle. Isosceles Triangle Right Angle Triangle Acute Triangle Absolute Triangle None of the Above None (b) Showing your working, calculate the size of the angle:(i) xº 70º 110º 90º 60º 120º None (ii) yº 110º 70º 90º 120º None of the Above None 27. To make porridge, Goldilocks mixes 3 bags of oats with 1 bag containing 20% wheatbran and 80% oats. All the bags have the same volume. What percentage of theporridge mix is wheat bran? 5 2.5 4 3 2 None 28. When a glass is full of water the total mass is 400g. When the glass is half full ofwater the total mass is 320g. Find the mass of the glass. 240 320 640 400 200 None 29. (a) The mean age of the five members of the ‘Macaroon 5’ boy band is 18.A new member joins the band. His age is 24. What is the new mean age of thegroup? 19 18 11 9 None of the Above None (b) Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9. 3, 7, 7, 9 3, 8, 8, 9 9, 2, 2, 7 4, 2, 2, 6 None of the Above None (c) The mean weight of 5 children is 45kg.The mean weight of the lightest three children is 42kg and the mean weight ofthe heaviest three children is 49kg.What is the median weight of the children in kg? 48 58 38 68 28 None 30. A rectangle has a length of 50mm and has the same area as a square with side 70mm.Calculate the perimeter of the rectangle. 296 300 240 200 290 None 31. A bag contains 49 red balls and 1 blue ball. How many red balls should be removedfor the bag to contain 90% red balls? 40 50 30 60 20 None 32. A ball is dropped and bounces up to a height that is 75% of the height from which itwas dropped. It then bounces again to a height that is 75% of the previous height andso on. How many bounces does it make before it bounces to a height that is less than25% of the original height? 5 4 3 2 6 None END OF EXAMINATIONNOW CHECK YOUR WORKING Time's up
