The Haberdasher Aske’s Boys’ School 11 Entrance Examination 2016 MATHEMATICS Online Quiz view all papers Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 20161. Add: 36 + 27 63 53 36 66 62 None 2. Subtract: 53 - 14 39 49 41 31 36 None 3. Multiply: 56 x 8 428 448 460 348 488 None 4. Divide: 108 ÷ 4 32 28 27 29 33 None 5. Find the cost of downloading 5 apps if each one costs £2.98 18 14.9 15.9 24.9 20 None 6. Work out the sum of: 9, 99, 999 and 9999 %BLANK% 10000 11106 11000 11101 11110 None 7. Divide 3 by 0.5 3 2 6 5 8 None 8. There is an even chance that I will pick a toffee from a large bag of sweets containing toffees, jellies and chocolates.If the bag contains 17 jellies and 8 chocolates, how many toffees are there? 17 20 25 8 9 None 9. The total attendance at Premier League football matches last season was 13,766,753 Round this number to the nearest ten thousand. 13000000 13800000 13700000 13770000 None of the above None 10. Pens cost 7p each and pencils cost 5p each. I buy some pens and pencils which cost 55p exactly. How many of each did I buy? 6 pens & 5 pencils 5 pens & 4 pencils 3 pens & 4 pencils 8 pens & 6 pencils 4 pens & 5pencils None 11. Use the fact that 96,815 x 123 = 11,908,245 to work out 96,816 x 123 11908245 11909255 11908464 11908363 11890836 None 12. The three-digit number shown below can be divided by 3 without a remainder. Fill in the box to show the largest possible value that the last digit could be. 8 3 7 9 5 None 13. At a busy railway station trains leave from platform 5 every 6 minutes and from platform 8 every 10 minutes. Trains leave from both platforms at 15:57. When do trains next leave both platforms at the same time? 16:27 16:15 16:00 16:20 16:10 None 14. The price of a one-day ticket to a theme park is £37.60. Joe buys a ticket and experiences 8 rides during the day. Work out the average cost per ride. 2.7 3.7 4 4.7 5 None 15. Mrs Catchpole gives the following instructions to her Year 6 class: Savan follows Mrs Catchpole’s instructions starting with the number 23. Work out Savan’s final answer. 100 200 140 150 180 None Richard obtains a final answer of 0. What number might he have thought of?Give all possibilities. 11, 13 8, 10 13, 15 14, 16 17, 20 None 16. A group of 48 children are asked to choose their favourite subject from a list of three: English, Mathematics and Science. The results are displayed on a pie chart: What fraction of the group chose English? \[\frac{1}{2}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{4}{1}\] \[\frac{3}{1}\] None If 33 \[\frac{1}{3}\] % chose Mathematics work out the angle of the Mathematics sector. 90 100 120 80 140 None 17. A sunflower seed takes a week to germinate after it has been sown in the ground. After germination it grows the same number centimetres each day. Maya sows a sunflower seed. She measures the height of the plant at midday on the 16th August and again at midday on the 21st August. These two measurements are recorded as 48 cm and 68 cm respectively. Work out the height of the plant at midday on September 2nd. 110 120 116 100 112 None On what date did Maya sow the seed in the ground? 16th August 21st August 28th July 28th June None of the above None 18. The diagram shows a scale drawing of a rectangular school playground. The distance between consecutive marks shown on the diagram is 25 metres. Work out the distance along the side AB. 80 60 50 100 75 None Work out the perimeter of the playground. 350 150 250 125 450 None 19. Write down the time shown on this clock. 8:30 8:35 8:25 8:00 8:15 None Alice looks at this clock in a mirror. Draw the hands on the clock face below to show the image that Alice sees. On another day Alice looks at the clock in the mirror and, without thinking, says that the time is 11:30. What time is it really? 11:30 12:30 1:30 11:00 12:00 None 20. Once upon a time, in the Ancient Wizarding World of Haberdasher’s One pound = 20 shillings One shilling = 12 pence A large Margarine-beer costs 1 pound 4 shillings and 9 pence. A small Margarine-beer costs 14 shillings and 5 pence Work out the difference in price between a small and large beer. Give your answer in shillings and pence. 8 shillings, 5 pence 5 shillings, 2 pence 10 shillings, 4 pence 11 shillings, 6 pence 15 shillings, 8 pence None Work out the total cost of one large and two small beers.Give your answer in pounds, shillings and pence. 6 pounds,18 shillings,10 pence 2 pounds,13 shillings,7 pence 4 pounds,8 shillings,6 pence 3 pounds,9 shillings,10 pence none of the above None 21. The diagram shows the one-way cycle paths in a park. Work out the total number of possible routes to go from A to C, from A to D. from A to E 8 from A to C & 15 from A to D & 70 from A to E 10 from A to C & 35 from A to D & 47 from A to E 6 from A to C & 25 from A to D & 57 from A to E 12 from A to C & 20from A to D & 50 from A to E 15 from A to C & 22 from A to D & 67 from A to E None None 22. A sequence of numbers which get multiplied (or divided) by a fixed amount each time is called a geometric progression (GP). For example, the sequence 1st term = 6, 2nd term = 12, 3rd term = 24, 4th term = 48 is a GP because you multiply by 2 to go from one term to the next. The 1st term of a GP is 8 and the 2nd term is 24. Work out the 3rd term. 48 64 72 81 60 None Time's up
