The Haberdashers Askes Boys School 11 Entrance Examination 2013 MATHEMATICS Online Quiz view all papers Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 20131. Add: 36 + 58 94 84 96 74 Both a & b None 2. Subtract: 75 - 54 21 31 20 22 11 None 3. Multiply: 67 x 8 536 526 486 516 546 None 4. Divide: 264 ÷ 11 24 23 22 20 None of the Above None 5. If a dozen eggs cost £2.80, how much do 18 eggs cost? £ 4.20 £ 2.20 £ 3.20 £ 5.20 £ 4.50 None 6. Find the difference between 43 \[\frac{1}{3}\] and 51 \[\frac{2}{3}\] . 8 \[\frac{1}{3}\] 5 \[\frac{1}{3}\] 4 \[\frac{1}{3}\] 2 \[\frac{1}{3}\] 6 \[\frac{1}{3}\] None 7. A box holds 4 cakes. How many boxes are needed to store 75 cakes? 19 20 17 18 21 None 8. Put a circle round the volume in the list below which gives the best estimate of the capacity of a tea cup: 0.25 litres 0.5 litres 0.75 litres 1 litre 1.25 litres 0.25 litres 0.5 litres 0.75 litres 1 litre 1.25 litres None 9. Write down the number that the arrow is pointing to on the scale below: 275 265 260 280 270 None 10. Fiona buys: 3 cans of coke @ 85p per can 5 samosas @ 30p per samosa If Fiona pays with a £5 note, how much change does she get? £ 95 £ 150 £ 225 £ 405 £ 85 None 11. Add together the following numbers giving your answer in figures: 3 million seventy thousand thirty-two thousand nineteen 3102019 3002019 3112019 3092019 312091 None 12. For each of the number machines below write down the letter: A if the answer is always even B if the answer is always odd C if the answer is sometimes odd and sometimes even B C A None of the above Both a & b None C B A None of the above Both a & b None 13. An orange costs twice as much as an apple. Which one of the following does not cost the same as the other four? A Two oranges and three apples B Seven apples C One orange and five apples D Three oranges and one apple E Four oranges E D C B A None 14. Jonathan thinks of a whole number, rounds it to the nearest 100 and gets an answer of 700. What is the smallest number that Jonathan might have thought of? 650 600 620 610 670 None What is the largest number that Jonathan might have thought of? 749 700 780 750 745 None 15. A group of people chose their preferred Olympic sport from a list of five: Athletics, Swimming, Cycling, Hockey and Gymnastics. The proportions choosing each sport are shown on the pie chart: What percentage of people chose Athletics? 30% 24% 20% 12% 35% None If 45 people chose Athletics, how many chose Hockey? 15 14 18 20 10 None 16. In the square below, every row, column and diagonal adds up to 15. What number must be put into the square labelled A? 695 A 3 4 2 5 6 None 17. We say that there is an even chance of getting a head when a coin is thrown. Which one of the following statements is definitely true? A: There is an even chance that England will win the next football World Cup. B: There is an even chance that I get one head and one tail when I toss a coin twice. C: There is a greater than even chance that I get a 5 when I roll a single dice. D: There is a less than even chance of picking a blue ball from a bag containing 3 blue and 2 red balls. E: There is a less than even chance that a baby will be born somewhere in the world in the next minute. B A C D E None 18. It takes a team of four people six hours to paint my fence. How long would a team of eight people have taken? 3 Hours 2 Hours 4 Hours 1 Hour 5 Hours None One of my neighbours has a similar fence which is twice as long as mine.She would like the work to be completed in less than five hours.What is the minimum number of people that she should employ? 10 8 6 9 12 None 19. Work out the following giving your answers in fractions. \[\frac{1}{2}\] + \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{4}\] 4 \[\frac{1}{3}\] Both b & a None \[\frac{1}{2}\] + \[\frac{1}{4}\] + \[\frac{1}{8}\] \[\frac{7}{8}\] \[\frac{5}{8}\] \[\frac{3}{14}\] \[\frac{2}{3}\] Both b & a None \[\frac{1}{2}\] + \[\frac{1}{4}\] + \[\frac{1}{8}\] + \[\frac{1}{16}\] \[\frac{15}{16}\] \[\frac{14}{16}\] \[\frac{18}{20}\] \[\frac{4}{30}\] \[\frac{1}{3}\] None \[\frac{1}{2}\] + \[\frac{1}{4}\] + \[\frac{1}{8}\] + \[\frac{1}{16}\] + \[\frac{1}{32}\] + \[\frac{1}{64}\] + \[\frac{1}{128}\] + \[\frac{1}{256}\] + \[\frac{1}{512}\] + \[\frac{1}{1024}\] \[\frac{1023}{1024}\] \[\frac{1020}{1022}\] \[\frac{1002}{1021}\] \[\frac{2000}{2001}\] Both b & a None If this pattern is continued the sums get ever closer to a particular number.Write down this number. 1 2 3 4 5 None 20. The average of a set of numbers is worked out by adding the numbers together and then dividing by the number of numbers. The average number of runs scored by a cricket team in an innings is 17. What was the total number of runs scored by all eleven players? 187 170 180 185 190 None In this innings the opening pair of batsmen scored an average of 39.5 runs.What was the average score of the remaining nine members of the team? 12 14 13 11 15 None 21. The diagram (not to scale) shows my back lawn which is 30 metres long and 20 metres wide. My lawnmower can cut strips 50 cm wide and I always mow the lawn by walking up and down in straight lines as shown. How many strips do I need in total? 40 45 50 30 55 None How far do I walk when I mow my lawn? Give the answer in metres. 1200 900 1500 1350 1300 None I can push my lawnmower at a constant speed of 30 metres per minute and it takes me an extra 15 seconds to turn the mower round at the end of every strip. The mower itself takes 15 seconds to turn on.How long does it take me to mow my lawn? 50 39 40 35 60 None 22. The diagram shows a circle with a diameter, AB. The point A has coordinates (7, 4). Write down the coordinates of the point B. (3, 2) (1,3) (3,1) (2,1) (3,4) None Write down the coordinates of the centre of the circle. (5, 3) (3, 4) (4, 3) (1, 4) (5,4) None A second circle (not shown) has a diameter with end points A(6, 15) and B(12, 3).Write down the coordinates of the centre of this circle. (9, 9) (8, 8) (7, 7) (6, 6) (5, 5) None A third circle (not shown) has centre (19, 27). If one end of a diameter has coordinates (17, 32), write down the coordinates of the point at the other end of the diameter. (21, 22) (20, 23) (19, 27) (17, 32) (18, 21) None None 23. The notation 4! is used as an abbreviation for the product 4 x 3 x 2 x 1 so that 4! = 24. Similarly, 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880 . Work out the value of3! 6 3 4 2 5 None 10! 3628800 362280 361180 368820 Both b & a None \[\frac{100!}{98!}\] 9900 8800 11000 10000 1000 None 24. The land of Whasham consists of a rectangular lake with an island in the centre. The island has three types of terrain as shown in the diagram below which is not to scale. None Work out the area of Whasham. 160 130 140 120 150 None The area of land which consists of forest but no mountain is 32 \[km^{2}\] and the area which is both forest and mountain is 6 \[km^{2}\] . The area of water is 67 \[km^{2}\] .Work out the area of land which consists of mountain but no forest. 55 61 86 60 65 None A total of 121 people live on the island. If 81 people live on land which is mountainous and 48 people live on land which is forested, how many live in the region which is both mountainous and forested? 8 7 9 6 None Time's up
