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11+ MATHEMATICS EXAMPLE ENTRANCE …

11+ MATHEMATICS EXAMPLE ENTRANCE EXAMINATION PAPER NAME _____Entrance Number _____ Time allowed: 60 minutes …

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Text of 11+ MATHEMATICS EXAMPLE ENTRANCE …

11+ MATHEMATICS EXAMPLE ENTRANCE EXAMINATION PAPER NAME ___________________________________Entra nce Number _____ Time allowed: 60 minutes Answer as many questions as you can. You are not expected to answer every question. Do not spend too long on one question. If you cannot do a question, miss it out. Show the stages of your working clearly. You are not allowed to use a calculator. The total mark for this paper is 100. 11+ RAA- V. Nov 11 2/29 Total for the St. Margaret s School Bushey Q1. Work out 1048 + 208 = .................. 1 mark 4828 480 = ................... 1 mark Q2. (a) Write the answers. (4 + 2) 3 = ................... 1 mark 4 + (2 3) = ................... 1 mark 504 8 = 1 mark (b) Put brackets in the calculation to make the answer 50 4 + 5 + 1 5 1 mark (c) Now put brackets in the calculation to make the answer 34 4 + 5 + 1 5 1 mark 11+ RAA- V. Nov 11 3/29 Total for the St. Margaret s School Bushey Q3. Work out the missing numbers. In each part, you can use the first line to help you. (a) 16 15 = 240 16 ........... = 480 1 mark (b) 46 44 = 2024 46 22 = ...... 1 mark (c) 600 24 = 25 600 ........... = 50 1 mark 11+ RAA- V. Nov 11 4/29 Total for the St. Margaret s School Bushey Q4. Add three to the number on each number line. The first one is done for you. 2 marks 11+ RAA- V. Nov 11 5/29 Total for the St. Margaret s School Bushey Q5. (a) The number chain below is part of a doubling number chain. Fill in the two missing numbers. 1 mark (b) Find two different prime numbers so that when added together the answer is 32 and when multiplied the answer is 247. 1 mark (c) How many mm are there in m? 1 mark (d) Write down two prime numbers smaller than 100, but bigger than 90. 1 mark (e) Write down all factors of 30. 2 marks (f) Now write down all the prime factors of 30 1 mark 11+ RAA- V. Nov 11 6/29 Total for the St. Margaret s School Bushey Q6. The diagram shows some shapes on a 10 by 6 square grid. (a) Which two shapes have the same area as shape A? ........................ 1 mark (b) Which two shapes have the same perimeter as shape A? ........................... 1 mark (c) How many of shape C would you need to cover a 10 by 6 square grid? ............................. 1 mark 11+ RAA- V. Nov 11 7/29 Total for the St. Margaret s School Bushey Q7. 1 cm1 cm (a) (i) Find the area of the shaded shape. .................... cm2 (ii) Find the perimeter of the shaded shape. ..................... cm 2 marks 11+ RAA- V. Nov 11 8/29 Total for the St. Margaret s School Bushey Q8. Here is a solid prism made from centimeter cubes. 1 cm3 Find the volume of the solid prism. .................... cm3 1 mark 11+ RAA- V. Nov 11 9/29 Total for the St. Margaret s School Bushey Q9. 100 cm20 cm20 cm100 cmDiagrams accurately drawnNOT200 cm50 cm A carton measures 200 cm by 100 cm by 100 cm. The carton is to be completely filled with boxes. Each box measures 50 cm by 20cm by 20 cm. Work out the number of boxes which can completely fill the carton. ..................................... 3 marks 11+ RAA- V. Nov 11 10/29 Total for the St. Margaret s School Bushey Q10. . This diagram shows the floor plan of a room. Work out the area of the floor. Give the units with your answer. .................... ............. 2 marks 11+ RAA- V. Nov 11 11/29 Total for the St. Margaret s School Bushey Q11. Write down the special mathematical name of each of these two 3-D shapes. (i)(ii) (i) .............................. (ii).................................... ...... 2 marks 11+ RAA- V. Nov 11 12/29 Total for the St. Margaret s School Bushey Q12. a) Write down the fraction of this shape that is shaded. ..................... 1 mark (b).altogether shaded is shape theof 43 that so shadingenough Add 1 mark (c) Write down the percentage of the shape that is now unshaded. ......................... 1 mark (d) Shade 10% of this grid. 1 mark 11+ RAA- V. Nov 11 13/29 Total for the St. Margaret s School Bushey Q13. (a) Which of these fractions is smaller than21? Circle the correct one. 64, 167, 126, 2011 1 mark (b) List five consecutive whole numbers which add up to 100. 2 marks Q14. A meal in a restaurant costs the same for each person. For 11 people the total cost is 253 What is the total cost for 12 people? 2 marks 11+ RAA- V. Nov 11 14/29 Total for the St. Margaret s School Bushey Q15. (a) 9 28 2 marks (b) What is 27 28? You can use part (a) to help you. ........................... 1 mark Q16. Give the answer to each of the following as a fraction in its simplest form: + = 2 marks = 2 marks 11+ RAA- V. Nov 11 15/29 Total for the St. Margaret s School Bushey Q17. (a) Write the missing numbers. 50% of 80 = .............. 5% of 80 = ............... 1% of 80 = .............. 3 marks (b) Work out 56% of 80 You can use part (a) to help you. ............................ 1 mark (c) Write down 54 as a percentage. 1 marks Q18. Simplify this expression. 5k + 7 + 3k = ........................................ ........................................ ............... 1 mark 11+ RAA- V. Nov 11 16/29 Total for the St. Margaret s School Bushey Q19. (a) When x = 5, work out the values of the expressions below. 2x + 13 = ...................... 5x 5 = ........................ 2 marks (b) When 2y + 11 = 17, work out the value of y Show your working. y = ....................... 2 marks 11+ RAA- V. Nov 11 17/29 Total for the St. Margaret s School Bushey Q20. (a) Write each expression in its simplest form. b + 7 + 2b + 10 ........................................ .... 1 mark (3d + 5) + (d 2) ........................................ . 1 mark 3m ( m) ........................................ ... 1 mark (b) I think of a number. When multiplied by 4, then 8 is subtracted from the answer and then divided by 5 the answer is 4. What number did I think of? 2 marks11+ RAA- V. Nov 11 18/29 Total for the St. Margaret s School Bushey Q21. (a) Here are two equations. k = a + b a + b + k = 30 What is the value of k? k = ......................... 2 marks (b) Look at this information. 10 = c + d c is one more than d What is the value of c? c = .......................... 2 marks 11+ RAA- V. Nov 11 19/29 Total for the St. Margaret s School Bushey Q22. Kim is thinking of a number. 1 mark Q23. The price of a coat is 6 In a sale the price is reduced by 15% What is the sale price of the coat? 2 marks 11+ RAA- V. Nov 11 20/29 Total for the St. Margaret s School Bushey Q24. The diagram shows triangle PQR. - Work out the sizes of angles a, b and c a = ............... b = .............. c = ................ 3 marks - 11+ RAA- V. Nov 11 21/29 Total for the St. Margaret s School Bushey Q25. 2 tins balance 1 bottle. 1 tin and 1 bottle balance 1 box. (a) How many bottles do 6 tins balance? .................... 1 mark (b) How many boxes do 6 tins balance? .................... 1 mark 11+ RAA- V. Nov 11 22/29 Total for the St. Margaret s School Bushey Q26. A shop sells school uniform. Two shirts and one jumper cost 29 One shirt and one jumper cost 21 How much does one jumper cost? 2 marks Q27. (a) Look at these three numbers. Find the mean of the three numbers. 1 mark Find the median of the three numbers. 1 mark - 11+ RAA- V. Nov 11 23/29 Total for the St. Margaret s School Bushey Q28. Write the missing numbers in these fraction sums. 1 mark Q29. (a) Put these values in order of size with the smallest first. 52 32 33 24 ............ ............ ............ ............ smallest largest 2 marks (b) Write down the next three terms in each of the following sequences: i) 10, 7, 4, 1, 1 mark ii) 2, 3, 5, 7, 11, 13, 17, 19, 1 mark11+ RAA- V. Nov 11 24/29 Total for the St. Margaret s School Bushey Q30. (a) A teacher asked her pupils if they recycled newspapers and glass. The pie chart shows the results. 5 pupils answered Neither . How many pupils answered Newspapers only ? Show your working. ................ pupils 2 marks 45 90 11+ RAA- V. Nov 11 25/29 Total for the St. Margaret s School Bushey (b) The teacher asked a different class if they recycled newspapers and glass. There were 20 pupils in the class. 9 pupils answered Newspapers only . On a pie chart, what would the angle be for the sector Newspapers only ? Do not draw the Pi chart. Show your working. ............................... 2 marks 11+ RAA- V. Nov 11 26/29 Total for the St. Margaret s School Bushey Q31. Solve this equation. 7 + 5k = 8k + 1 k = ......................... 2 marks Q32. Find the values of t. 632t t = ......................... 1 mark 11+ RAA- V. Nov 11 27/29 Total for the St. Margaret s School Bushey Q33. A rectangular field has a length which is three times as long as the width. If the perimeter is 32 m, what is its area in m2? Area = .. .. m2 2 marks 11+ RAA- V. Nov 11 28/29 Total for the St. Margaret s School Bushey Q34. I have two bags of cubes. Each bag contains more than 20 but fewer than 30 cubes. (a) I can share the cubes in bag A equally between 9 people. How many cubes are in bag A? ................. 1 mark (b) I can share the cubes in bag B equally between 4 people. How many cubes could be in bag B? There are two answers. Write them both. ................. or ..................... 2 marks 11+ RAA- V. Nov 11 29/29 Total for the St. Margaret s School Bushey Q35. a) If 4(5x -7) = 2, calculate the value of 15- 10x. 2 marks b) Given that x y = 2x + y And m n = nm2 Work out the answer to: [(4 8) 3] 7 = 2 marks

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