The Haberdashers Askes Boys School HABS 11 Plus Maths Sample Paper 2009 Online Quiz view all papers Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 20091. Add: 34 + 87 121 111 100 112 120 None 2. Subtract: 82 - 33 49 59 95 51 39 None 3. Multiply: 17 x 5 85 55 75 60 65 None 4. Divide: 324 ÷ 9 36 34 32 30 38 None 5. In a Maths test Freddie gets 37 more marks than George. If Freddie gets 61, what mark does George get? 24 44 34 33 14 None 6. How many days are there in 48 weeks? 336 365 340 350 326 None 7. Rob works 40 hours a week and earns £440. What is his hourly rate of pay? 11 10 12 13 14 None 8. Work out the sum of 43, 108, 57 and 92. 300 280 250 290 350 None 9. Write the number fifty-three thousand and eighteen in figures. 53018 58013 50813 50318 None of the Above None 10. If 750 grams of pasta cost 90p find the cost of 1 kilogram. 1.2 1.3 1.1 1.4 1.5 None 11. Write down any fraction between \[\frac{1}{3}\] and \[\frac{1}{2}\]. \[\frac{5}{12}\] \[\frac{1}{4}\] \[\frac{1}{2}\] \[\frac{3}{4}\] \[\frac{1}{3}\] None 12. A bus has 35 passengers on board. At the first stop two-fifths get off and then 7 people get on. At the next stop a quarter of the people remaining on the bus get off and then 13 get on. How many passengers are there on the bus now? 34 36 32 30 38 None 13. I think of a number, double it, take the answer away from 41, and I am left with 3. What number did I think of? 19 16 17 18 15 None 14. Work out each of the following: 4.76 x 10 47.6 46.7 40.7 47 46 None 39.2 ÷ 100 0.392 0.592 0.492 0.923 None of the Above None 15. Find the difference between 10% of £20 and 20% of £10. 0 1 10 20 None of the Above None 16. A twelve inch ruler is approximately 30 cm long. Use this fact to estimate each of the following: The number of centimeters in 4 inches. 10 9 8 7 6 None The number of inches in 5 centimetres. 1.9685 2.9685 3.9685 4.9685 0.9685 None The number of centimetres in 9 feet 10 inches. 295 270 236 285 265 None 17. I turn 40 degrees clockwise, 70 degrees anticlockwise and finally 90 degrees clockwise. If I want to return to my original position by turning through the smallest possible angle, in which direction should I turn and what should the angle be? 60, Clockwise 70, Anti Clockwise 60, Anti Clockwise 90, Anti Clockwise None 18. A large crate holds twelve cartons of milk whereas a small crate holds only four cartons. I have five large crates and twenty small crates available. What is the smallest number of crates in total that I could use to store 110 cartons of milk? 18 crates 20 crates 16 crates 14 crates 22 crates None 19. Fill in the spaces in the boxes below with each of the digits 1, 3, 6, 7 and 8 to make a correct sum: _____ _____ x _____ = _____ _____ None 20. Write one of the words “always”, “sometimes” and “never” in the spaces below to make each of the statements correct: The sum of two odd numbers is ______ even. None When an odd number is multiplied by an even number the answer is odd.The product of two even numbers is a multiple of four.When an even number is divided by an even number the answer is odd.21 Ravi has two sisters, Harsha and Harpreet. He likes to share out his sweets unfairly. One day he gives Harsha twice as many as he gives himself, and he gives Harpreet half as many as he gives himself. If there are 42 sweets in total how many does Ravi get? 12 14 8 10 16 None 22. Fill in the missing words: There are ______ words in this sentence. Seven Six Five Four Eight None The total number of times in which the letter e has been written in this sentence is ______ . Fifteen Fourteen Sixteen Thirteen Seventeen None 23. In Sydney Australia the time is 11 hours ahead of the UK. John decides to phone his Great Aunt Matilda at 2300 hours UK time on the 30th January. What is the time and date in Sydney when Matilda receives the call? 10:00, 31st January 09:00, 30th January 11:00, 29th January 01:00, 28th January None of the Above None John’s sister Penny goes one better and decides to visit Great Aunt Matilda. She leaves the UK at the same time that John makes his phone call. Given that the total journey time is 27 hours, what is the Sydney time and date when Penny arrives? 13:00, 1st February 11:00, 2nd February 12:00, 31st January 13:00, 2nd February None of the Above None 24. The list below shows the prices at greasy Joe’s roadside snack bar. Four friends, Peter, Jon, Simon and Duncan decide to stop by for a meal on their way home from work one day. None Peter buys one burger, a portion of chips and a coffee. Work out the total cost. £ 2.84 £ 1.84 £ 3.84 £ 0.84 £ 1.48 None He pays with a £5 note and receives four coins as change. Which coins were they? £ 2, 10P, 5P, 1P 10P only £ 15 only £ 20 only None of the Above None Jon buys three sausages, a meat pie and a can of fizzy drink. How much did he pay? £ 3.9 £ 5.9 £ 2.8 £ 4.8 £ 5.8 None Simon generously orders for both himself and his friend Duncan. He orders four items in total and receives £44.40 change from a £50 note. What did he order? 2 Meatpie+1Cup of Tea+1Cup of Coffee 2 Meatpie+1Cup of Tea 2Cup of Tea+1Cup of Coffee 2 Meatpie+1Cup of Coffee none of the above None 26. The timetable below shows the morning train times between St Albans and City Thameslink via St Pancras International.St Albans0658070807280722073807440800Radlett 0727 0749 Elstree 0731 0754 West Hampstead0710 0745 0803 St Pancras0717072807480756080008120820Farringdon0722073207520800080408160824City0727073507550803080908190827 None At what time does the 0731 train from Elstree get to Farringdon? 0800hr 0731hr 0700hr 0715hr 0815hr None How many minutes does the 0727 train take to travel from Radlett to City? 36 min 30 min 25 min 34 min 38 min None How many minutes longer does it take to travel from St Albans to West Hampstead on the 0722 train compared to the 0658? 11min 10min 15min 18min 12min None What is the time of the latest train that someone could catch from St Albans in order to arrive at City no later than eight o’clock? 7:28 7:30 7:45 7:35 7:20 None Roweena lives in St Albans and needs to arrive at St Pancras inorder to catch the 0855 train to Paris. There is a 30 minute check-inat St Pancras International station and she allows herself an extra 10minutes to change platforms. Roweena knows that it takes her 25 minutes to walk from her house to get to the platform at St Albans station. What is the latest time that she needs to leave her house? 7:19 7:00 6:19 6:15 7:15 None 27. Look carefully at the following calculations: \[8^{2}\] - \[3^{2}\] =64 - 9 = 55 (8 + 3) x (8 - 3) = 11 x 5 = 55 Work out, in the same way: \[9^{2}\] - \[5^{2}\] = _____ - ______ = _______ 56 55 54 60 52 None (9 + 5) x (9 - 5) = 56 55 54 58 52 None What do you notice about these pairs of answers? They are same 9² - 5² = 14 x 4 They are equal They are not equal All of the Above except c None This pattern can be used to work out some harder calculations. For example, the difficult sum, \[68^{2}\] - \[32^{2}\] can easily be worked out to be: (68 + 32) x (68 - 32) = 100 x 36 = 3600 Use this method to work out: None \[552^{2}\] - \[448^{2}\] 104000 102000 103000 105000 140000 None \[8.5^{2}\] - \[7.5^{2}\] 16 4 25 9 None of the Above None \[\left(\frac{19}{37}\right)^{2}\] - \[\left(\frac{18}{37}\right)^{2}\] \[\frac{1}{37}\] \[\frac{2}{39}\] \[\frac{3}{37}\] \[\frac{1}{9}\] None of the Above None \[25001^{2}\] - \[24999^{2}\] = 100000 10000 1000 100 10 None 28. The diagram below shows the roads connecting eight villages. The numbers next to each road (not drawn to scale) show the distances in miles for each stretch of road. Isobel travels from S to T on her journey to work each day. Find the shortest distance from S to T and state the route taken. 10 miles 8 miles 5 miles 12miles 14 miles None Route: From S to ________ to T B to F to E to D S-B-F-E-D Both a & b B-D-E-S None of the Above None Isobel cycles at a steady speed of 15 miles per hour. Find the shortest time to complete the journey. Give your answer in minutes. 40 min 30 min 50 min 35 min 45 min None Isobel listens to the local radio before setting off on her journey one morning. She discovers that the road between E and F is completely blocked due to an earlier accident and she is forced to choose an alternative route to work. What is the least number of additional minutes that she will take to cycle to work today? 8 min 10 min 5 min 15 min 20 min None None 29. A person’s Body Mass Index (BMI) is worked out by dividing their weight (in kilograms) by the square of their height (in metres). A person is then classified as “underweight”, “normal”, “overweight” or “obese” according to the following table: BMIClassification18.5 or lessUnderweightBetween 18.6 and 24.9NormalBetween 25.0 and 29.9Overweight30.0 or moreObese None For example, Jill weighs 72 kg and is 1.82 m tall. Her body mass index is worked out as follows: BMI = \[\frac{72}{1.82^{2}}\] = 21.7 which is between 18.6 and 24.9 so Jill is “normal”. At the bottom of this page you will find the results of lots of calculations, some of which are relevant to the questions below. The one that has been circled was used to find Jill’s BMI. If Jack weighs 84 kg and is 1.71 m tall, calculate his BMI. 28.7 27.5 28.8 29.7 None of the Above None State whether Jack is underweight, normal, overweight or obese. Over Weight Under Weight Normal Obese None of the above None If Jon weighs 27300 grams and is 98 cm tall, calculate his BMI. 28.4 27.8 27.4 25.8 24.4 None Jeremiah is 2.1 m tall and is obese. What is the lowest weight that he could be? 123.3kg 124.4kg 125.3kg 126.3kg 122.5kg None Josephine currently weighs 53 kg. She has a BMI of 16 so is currently classified as underweight. What is the least extra weight that she needs to put on if she is to be re-classified as normal? 8.6 7.6 6.6 5.8 None of the Above None None 30. Four friends, Archibald, Bertram, Camilla and Daphne go on holiday together on the French Riviera. On the first evening at the hotel they sit down to dinner at a square table shown below. Archibald insists that he sits facing South so that he can have a clear view of the Mediterranean Sea, whilst Bertram and Camilla decide to sit next to each other. Show the four possible seating arrangements on the diagrams below. The first one has been done for you. None On the second day of the holiday, Archibald relents and graciously allows anyone (including himself) to face the sea, although Bertram and Camilla still choose to sit next to each other. How many possible arrangements are there now? 16 25 9 4 36 None On the last day of the holiday, all four friends decide that they can sit where they like. How many possible arrangements are there now? 24 13 26 28 20 None Time's up
