Haberdashers Askes Boys School HABS 11 Plus Maths Sample Paper 2011 Online Quiz view all papers Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 20111. Add: 48 + 27 75 65 85 55 45 None 2. Subtract: 91 - 25 66 68 76 65 75 None 3. Multiply: 62 x 7 434 444 424 414 432 None 4. Divide: 92 ÷ 4 23 24 25 22 28 None 5. I have £8.17 credit on my mobile phone. At the end of a phone call this falls to £7.65. How much did the call cost? 0.52 1.52 1.62 0.62 0.25 None 6. The drink “Raspberry Heaven” is 1 part raspberry juice, 2 parts orange juice and 3 parts apple juice. How much raspberry juice does a 300 ml glass of Raspberry Heaven contain? 50ml 60ml 75ml 70ml 40ml None 7. Work out the product of 528 and 99. 52272 51372 50272 52472 50227 None 8. Barbie earns £23,450 a year and her partner Ken earns £700 less than Barbie. How much do the couple earn altogether? 46200 46100 45100 45200 42600 None 9. Convert 7.4 kilograms into grams. 7400 grams 74000 grams 740 grams 74 grams 6400grams None 10. Arrange the following numbers in order of size starting with the smallest: 32.043, 0.099, 1.072, 0.491, 0.5 0.099, 0.491, 0.5, 1.072, 32.043 0.5, 1.072, 32.043, 0.099, 0.491 32.043, 1.072, 0.5, 0.491, 0.099 1.072, 0.5, 32.043, 0.491, 0.099 None of the Above None 11. The opening hours of my local supermarket are 7am to 9pm Mondays to Saturdays and 10:30am to 4:30pm on Sundays. For how many hours does this supermarket open each week? 90 Hours 84 Hours 78 Hours 96 Hours 80 Hours None 12. Arrange the numbers, 5, 3, 7 and 2 to make the largest possible four-digit number which is a multiple of 5. 7325 2357 5327 5273 7523 None 13. Work out 0.08 multiplied by 5. 0.4 0.8 0.04 1.08 0.6 None 14. The new TV channel, Lazy Living, broadcasts for 98 hours a week. If two-sevenths of its output is devoted to make-over programmes and the rest to celebrity gossip, for how many hours each week does the channel broadcast programmes on celebrity gossip? 70 80 98 64 60 None 15. For breakfast I eat a slice of buttered toast and a cup of coffee. The time taken to complete these activities is as follows: Brown toast in toaster 3 minutes Butter the toast 1 minute Make coffee in machine 2 minutes Jonathan thinks that the shortest time taken for me to prepare my breakfast is 6 minutes. None What is the correct shortest time? 4 minutes 5 minutes 6 minutes 3 minutes 8 minutes None 16. The chart below shows the mileage between five places in North London. For example it gives the distance between Kenton and Hampstead as 4 miles. Daisy lives in Hampstead and drives her son to school at Haberdashers’ in the morning before continuing on to the office in Southgate. She then visits her sister in Harpenden before driving home via Habs. How far does she travel altogether? 60 miles 42 miles 40 miles 50 miles 51 miles None 17. The rate of VAT (value-added tax) in this country is 20%. In the shop CoCost, the price of a TV excluding VAT is £550. Work out the cost of the TV after the VAT is added on. £660 £600 £550 £650 £500 None The price of a diamond ring, including VAT is £1200.Work out the cost of the ring before the VAT was added on. £1000 £1200 £1100 £1050 £900 None 18. Train A leaves Birmingham New Street station at 1747 travelling due North on the slow line at 90 km/hour.How many kilometres has this train travelled when the time is 1817? 45 km 35 km 40 km 50 km 55 km None Train B leaves Birmingham New Street station at 1817 also travelling due North but on the fast line. The speed of train B is 135 km/hour.At what time does train B overtake train A? 1917 1817 1718 1719 None of the Above None 19. Every evening Diana has a bath. She turns on the taps and waits patiently for the bath to fill before she turns them off and steps in. At the end of her bath she steps out of the water before pulling out the plug to empty the bath. A graph of the volume of water (measured in litres) plotted against time (measured in minutes) is shown below. How long does she spend in the bath? 20 minutes 15 minutes 10 minutes 25 minutes 30 minutes None Work out the number of litres of water that flow into the bath per minute as the bath fills up. 200 liters 180 liters 280 liters 250 liters 150 liters None Does the bath empty at a faster, slower or the same rate as it fills?Faster, slower or same? Same Faster Slower None of the Above None 20. Amar (form captain), Brian (vice captain), Charles and Daniel are best friends in the same class at school. They always like to stand next to each other in the lunch queue. On Mondays it is a school rule that the form captain is at the front of the queue followed by the vice captain. There are two ways in which these boys can queue up on a Monday: ABCD and ABDC. On Tuesdays, the form captain must again queue up first but the remaining three boys can follow in any order. There are six ways in which these boys can queue up on a Tuesday. Four of these ways are listed below. Write down the remaining two: ABCD, ABDC, ACBD, ACDB, ADBC ADCB ACBD ABCD both a & b None On Wednesdays there are no restrictions and all four boys can queue up together in any order. In how many ways can this be done? 24 12 16 18 20 None 21. In this question you may assume the following exchange rates: 1 British pound (£) = 1.5 American dollars (US$) 1 British pound (£) = 2 New Zealand dollars (NZ$)The price of a hoodie in the London branch of Abergavenny and Filtch is £80. In New York the price is US$90. How much do I save by buying the hoodie in New York? Give your answer both in US dollars and pounds. $30 or £20 $20 or £15 $13 or £10 $40 or £30 None of the Above None My friend Sheila lives in Auckland, New Zealand. She saves US$60 if she buys this hoodie in New York. How much does it cost in New Zealand? Give your answer in New Zealand dollars. 200 NZ$ 112 NZ$ 180 NZ$ 100 NZ$ 250 NZ$ None Work out the exchange rate for converting New Zealand dollars into American dollars: 1 New Zealand dollar (NZ$) = _______ American dollars (US$) 0.75 or \[\frac{3}{4}\] 1.33 or \[\frac{4}{3}\] 0.5 or \[\frac{1}{2}\] 0.333 or \[\frac{1}{3}\] 0.25 or \[\frac{1}{4}\] None 22. The average of a set of numbers is worked out by adding the numbers together and then dividing by the number of numbers.Work out the average of:1, 1, 1 1 3 2 4 None of the Above None 1, 1, 4 2 3 4 1 6 None 1, 4, 7 4 3 2 6 5 None 4, 7, 13 8 7 6 5 9 None Describe, in words, a simple pattern that you notice about these answers: multiply 2 divide by 4 added by 2 added by 4 multiply 4 None Class 6A go on a Geography trip to Eastbourne and investigate the size of pebbles on the beach. Jonnie picks up seven small pebbles and measures their lengths in millimetres. The lengths of the first six pebbles are: 1, 1, 1, 4, 7, 13Assuming that the pattern that you observed above continues to hold, work out the length of Jonnie’s seventh pebble. 28mm 25mm 26mm 27mm 22mm None 23. Tristan is given six bags of fruit. Bag A contains 2 apples, 4 oranges and 3 pears. Bag B contains 3 apples, 1 orange and 2 pears. Bag C contains 4 apples, 5 oranges and 3 pears. Bag D contains 4 apples, 6 oranges and 4 pears. Bag E contains 6 apples, 4 oranges and 3 pears Bag F contains 7 apples, 7 oranges and 7 pears.He is allowed to choose one of these bags and then pick just one piece of fruit from that bag at random.Which bag should he choose if he is to maximise his chance of picking an apple? B maximize A maximize C maximize D maximize E maximize None Which bag should he choose if he is to minimise his chance of picking a pear? E Minimize D Minimize C Minimize B Minimize A Minimize None 24. The diagram below shows a sequence of squares drawn on a grid. The coordinates of the centre of square number 1 are (1,1). The coordinates of the centre of square number 2 are (2,3). The first number in the pair is the x-coordinate and the second number is the y-coordinate. Write down the coordinates of the centre of square number 3 (3, 5) (2, 5) (2, 3) (4, 7) (1, 2) None square number 4 (4, 7) (234, 467) (10, 19) (3, 5) (1, 2) None square number 10 (10, 19) (234, 467) (4, 7) (3, 5) (1, 2) None square number 234 (234, 467) (4, 7) (10, 19) (3, 5) None of the Above None The y-coordinate of the centre of one of the squares in this sequence is 2177. Work out the x-coordinate of this square. 1089 1080 1100 1088 1078 None None 25. The diagram below shows a rectangle, 9 units long, 6 units wide and with parts of non-overlapping circles drawn all over it. The circles all have the same radius and the area of each is 7 square units. Work out the shaded area. Shaded area = _________ square units 12 10 14 16 18 None The diagram below shows a square which is 3 units long with four identical semi-circles drawn on each edge. These semi-circles overlap to create four petals which are shaded on the diagram. The area of each semi-circle is 3.5 square units. Work out the shaded area. Shaded area = ________ square units 5 7 6 3 4 None Time's up
