MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS SPECIMAN PAPER – 1 by smoothmaths | Jul 1, 2020 | 0 comments Welcome to your MERCHANT TAYLORS’ SCHOOL 11 PLUS MATHS SPECIMAN PAPER - 1 Time 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:ParallelogramRectangleSquareTrapeziumNone of the Above Equilateral TriangleIsosceles TriangleObtuse TriangleAcute TriangleNone of the Above Isosceles TrapeziumIsosceles ParallelogramIsosceles RectangleIsosceles SquareNone of the Above 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, \[\frac{3}{7}\], \[\frac{2}{5}\] 3. Write the next term in the following sequences:(a) 7, 9, 11, 13, 15, ______1718192021 (b) −1, -5, -9, -13, _____-17-16-18-19-15 (c) 1, 8, 27, 64, _____125135130120115 4. Arrange the digits 7, 6, 5, and 4 so that the resulting number is closest to fivethousand.47654675475646575467 5. State whether the following statements are: Certain Likely Evens Unlikely Impossible(a) You will get a head when you flip a coin.EvensCertainLikelyUnlikelyImpossible (b) Tomorrow, I will find a £10 note on the floor.UnlikelyImpossibleLikelyEvensCertain (c) The sun will rise tomorrow morning.CertainLikelyUnlikelyImpossibleEvens 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. 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?7550125625100 8. (a) Write down all the factors of 36.1, 2 , 3, 4, 6, 9, 12, 18, 361, 3, 6, 9, 12, 18, 24, 321 ,2, 3, 5, 4, 12, 16,18, 241, 2, 3, 5, 7, 16, 38None of the Above (b) What is the highest common factor of 36 and 18?1817191516 (c) What is the lowest common multiple of 12 and 15?6050403070 (d) Write down all the prime numbers between 50 and 60.51535759All of the above 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?78654 (b) How many pupils were in the class?3028262432 10. (a) According to Google, the area of London is 1572km². Round this number:(i) Correct to the nearest 10 km².1570157215681580None of the Above (ii) Correct to the nearest 100 km².16001670157015001590 (b) Carpenter ants can measure up to 2.64cm long Round this number:(i) Correct to 1 decimal place.2.62.72.42.82.5 (ii) Correct to the nearest cm.32145 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 RonaldoAnthony ModesteRomelo LukakoTimo WernerIago Aspas (b) which league did the player who scored the least goals play in?EnglishGermanSpanishItalianNone of the Above (c) which league had the most goals scored in it by these players?GermanItalianEnglishSpanishNone of the Above 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?600700800500400 13. A right-angled triangle has the dimensions as shown. What is the area of theunshaded region?34256 14. Find 5% of 24.1.22.20.24.23.2 15. (a) What temperature is 12 degrees colder than −4℃?-16-10-12-8-14 (b) Raj is overdrawn at the bank by £40. His sister Sarina is richer than him by£70. How much money does Sarina have?3040506020 16. Simplify the following algebraic expressions:(a) 4p + 3q + 2p + 7q6p + 10q7p + 9q5p + 12q2p + 4q6p + 12q (b) 2a + 10b - a - 14ba - 4ba + 4b3a + 24b3a - 24b2a - 2b 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- 1610n + 162n - 162n + 2012n + 20 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?12010090115130 (b) How many pupils chose green or blue?6070809050 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?8.9111.8110.507.919.81 20. Solve the following equations:(a) 2x - 3 = 1178654 (b)94638 (c) 3(x − 2) − 2(x − 3) = 44567None of the Above 21. Write down two different odd prime numbers that add together to make a squarenumber.Answer: _____ And _____11 & 529,2759, 5All of the aboveNone of the above 22. Anna has 3 brothers and 5 sisters. Her brother Tom has S sisters and B brothers.What is the value of S × B?128141016 23. What is the remainder when: 743589 × 301647 is divided by 5 ?3596None of the Above 24. Which fraction is half way between ³/7 and 4/7 ? Give your answer in its simplest form.\[\frac{1}{2}\]\[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{3}{4}\]\[\frac{2}{3}\] 25. £50 000 in £50 notes weighs about 1.3Kg. How much, in grams, does one £50 noteweigh?1.301.201.401.501.60 26. (a) Write down the name that is given to this type of triangle.Isosceles TriangleRight Angle TriangleAcute TriangleAbsolute TriangleNone of the Above (b) Showing your working, calculate the size of the angle:(i) xº70º110º90º60º120º (ii) yº110º70º90º120ºNone of the Above 27. The diagram shows 18 shapes.(a) Complete the table to show the number of shapes in each category. White Black Circle Square One of the shapes in the diagram is chosen at random.(b) Write down the probability that the shape will be;(i) a black square.\[\frac{5}{18}\]\[\frac{18}{5}\]\[\frac{4}{16}\]\[\frac{7}{18}\]\[\frac{10}{18}\] (ii) a white square or a black circle.\[\frac{5}{9}\]\[\frac{9}{5}\]\[\frac{5}{18}\]\[\frac{5}{12}\]\[\frac{8}{9}\] 28.(a) On the grid above plot and label the coordinates P (1, 4),Q (4, 2),and R (1, -4). (b) The points form three vertices of a kite PQRS. Plot the point S and draw thekite. (c) Write down the coordinates of the point S.(-2, 2)(2, 2)(1,-4)(4, 2)(-1, 2) 29. 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?52.5432 30. 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.240320640400200 31. (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?1918119None of the Above (b) Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.3, 7, 7, 93, 8, 8, 99, 2, 2, 74, 2, 2, 6None of the Above (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?4858386828 32. A cube has shaded triangles on three of its faces.Here is the net of the cube.Draw in the two missing shaded triangles. 33. This grid is made of hexagons.Draw the reflection of the shaded shape on the grid. 34. A rectangle has a length of 50mm and has the same area as a square with side 70mm.Calculate the perimeter of the rectangle.296300240200290 35. A bag contains 49 red balls and 1 blue ball. How many red balls should be removedfor the bag to contain 90% red balls?4050306020 36. 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?54326 END OF EXAMINATIONNOW CHECK YOUR WORKING Time is Up!