THE HABERDASHER'S ASKE'S BOYS' SCHOOL (2009-2017) Paper 2 by smoothmaths | Jul 18, 2020 | 0 comments Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 20101. Add: 24 + 91 115 105 112 114 125 None 2. Subtract: 72 -38 34 44 46 24 20 None 3. Multiply: 43 x 6 258 268 248 228 238 None 4. Divide: 76 ÷ 2 38 32 39 34 30 None 5. What is the total number of players in 32 five-a-side football teams? 160 150 140 130 170 None 6. If 161 sweets are shared equally between 7 people, how many sweets does each person receive? 23 22 24 25 26 None 7. The Eiffel tower in Paris was built in 1889 and is 1051 feet tall. In 1931 New York’s Empire State Building was completed which is 1472 feet tall. How many years elapsed between the building of the Eiffel tower and the Empire State? 42 years 54 years 44 years 43 years 45 years None What is the total height of these two buildings? 2523 2522 2453 2423 2525 None 8. If March 23rd is a Monday, on what day of the week is April 2nd? Thurday Wednesday Friday Monday Saturday None 9. If I face West and turn 270 degrees clockwise, in which direction am I now facing? South North West East None of the above None 10. If the number 4,567 is multiplied by 5 and then multiplied by 2, what is the final answer? 45670 4567 55670 44670 45570 None If the number 40,505 is divided by 25 and then multiplied by 5, what is the final answer? 8101 8100 7970 8000 8001 None 11. If 9 bananas cost £1.23 find the cost of 12 bananas. 1.64 1.46 0.92 1.23 1.50 None 12. Work out (57 + 56 + 55 + 54) - (56 + 55 + 54 + 53) 4 3 6 8 5 None 13. Which one of the following fractions is not equivalent to \[\frac{3}{5}\] ; \[\frac{12}{20}\] , \[\frac{30}{50}\] , \[\frac{18}{30}\] , \[\frac{21}{35}\] , \[\frac{9}{25}\] , \[\frac{27}{45}\] ? \[\frac{9}{25}\] \[\frac{27}{45}\] \[\frac{12}{20}\] \[\frac{21}{35}\] \[\frac{18}{30}\] None 14. Which of the numbers 20, 25, 30, 35, 40, 45, 50, 55 is nearest to the value of 6.9201 x \[\sqrt{26}\]? 35 30 28 25 20 None 15. A train leaves Stevenage at 0942 and arrives in York at 1134. How many minutes does the journey take? 112 min 78 min 94 min 52 min 120min None 16. In the 24-hour clock, the time is 21:30. Write this time as a 12-hour clock, using am or pm. 9:30 PM 9:00 PM 9:30 AM 10:30 PM 11:00 PM None 17. On the grid below, plot and label the points with coordinates: A(1,4), B(2,2) and C(4,3) Write down the coordinates of a fourth point D which makes the shape ABCD a square. (7, 9) (4, 5) (3, 5) (7, 5) (3,4) None 18. When a rope is cut equally into 8 pieces it is discovered that each piece is a whole number of centimetres long. The same thing happens if this rope is cut into 6 pieces. What is the shortest length that this rope could be? 24 12 8 16 32 None 19. The numbers 34 and 55 are two examples of two-digit numbers which are made up using the digits 3, 4 and 5. How many two-digit numbers in total can be made using some or all of the digits 3, 4 and 5? 9 12 15 16 18 None 20. [In this question note that 1 is NOT a prime number.] The diagram below shows an ordinary die. Consider the following events when a single die is rolled: A: “the score on the die is either a 5 or a 6” B: “the score on the die is an even number” C: “the score on the die is a prime number” D: “the score on the die is a multiple of 3” Write one of the following phrases in the spaces below to make each statementcorrect. “has the same chance of happening as” “is more likely to happen than” “is less likely to happen than”A A is Less Likely to Happen than B B is Less Likely to Happen than A C is Less Likely to Happen than B A is more Likely to Happen than B C is more likely to happen than A None B B has chances of Happening as C B has chances of Happening as A B has chances of Happening as D B has No chances of Happening Than A B has more chances of Happening Than A None C C is more Likely to Happen than D C has same chances to Happen as D C is Less Likely to Happen than D C has no chances to Happen as D None of the above None 21. Look carefully at the following five supermarket offers: A Buy one get one free. B Buy one get the second for half price. C Buy two get one free. D Buy four and pay only for three. E One-third off all prices. Two pairs of these offers actually give the same value for money. Write down the letters representing both of these pairs in the spaces below:------- and -------- give the same value for money, and BD and CE AD and BC BC and AD AC and DE DC and AE None 22. The diagram below consists of one 2 by 2 square split into four 1 by 1 squares. The total number of squares that you can see in the diagram is therefore 5. For each of the diagrams below fill in the spaces to work out the total number of squares that you can see. None (a) There are -------- 3 by 3 squares 2 by 2 squares ____ 1 by 1 squaresso the total number of squares in a 3 by 3 square is _______ 1' 3 by 3 Squares & 4 2by 2 Squares and 9 1by1 Squares and Total Number of square is 14 3' 3 by 3 Squares & 2 2by 2 Squares and 4 1by1 Squares and Total Number of square is 7 2' 3 by 3 Squares & 5 2by 2 Squares and 10 1by1 Squares and Total Number of square is 17 4'3 by 3 Squares & 4 2by 2 Squares and 9 1by1 Squares and Total Number of square is 14 None of the above None (b) By making use of the pattern that you have observed in the previous parts of this question, work out the total number of squares in a 5 by 5 square: 55 45 50 54 60 None 23. In the computer game “Fizz Darkweek” a player scores points by hitting certain targets: “Zoid” scores fifty thousand, “Yondo” scores forty thousand, “Xenox” scores two thousand five hundred. Also, if you hit two Xenox in a row you get an extra five hundred bonus points. Amir plays the game and only hits one target which is a Zoid. Write down his score in figures 50000 5000 500000 52000 55000 None Ben hits one of each. Work out his total score. Give your answer in words. Ninety Two thousand Five Hundred Ninety Four thousand Four Hundred Ninety thousand Nine Hundred Ninety Two thousand Four Hundred Ninety thousand Five Hundred None Catherine goes next and hits a Yondo first, followed by two Xenox and finishes off with a second Yondo. Work out her total score. Give your answer in figures. 85500 8550 85000 85400 80050 None 24. Thomas, Henry, Edward and Gordon are four season-ticket holders travelling by the same train. Thomas’ ticket allows him to get out at either Brasted, Westerham or Dunton Green; Henry’s ticket is for Knockholt or Dunton Green; Edward’s for Dunton Green or Sevenoaks; Gordon’s for Brasted or Knockholt. No one gets out at either Sevenoaks or Westerham, and only one person at Knockholt and one at Dunton Green. None At what station did these four passengers get off the train?Thomas Thomas is at Brasted Thomas is at Sevenoaks Thomas Duntong Green Thomas is at KnockHolt none of the above None Henry Henry is at KnockHolt Henry is at Duntong Green Henry is at Brasted Henry is at Sevenoaks none of the above None Edward Edward is at Dunton Green Edward is at KnockHolt Edward is at Brasted Edward is at Sevenoaks none of the above None Gordon Gordon is at Brasted Gordon is at Sevenoaks Gordon is at Dunton Green Gordon is at KnockHolt none of the above None 25. Of the 26 boys in a class, 21 are right-handed. If 10 of the boys in the class wear glasses, what is the least number of boys in the class who are both right-handed and wear glasses? £ 5 £ 4 £ 6 £ 7 None of the above None 26. Four friends, Alwyn, Bax, Coates and Delius have lunch together. Although each eats a differently priced snack, they share the bill equally. Yesterday, this resulted in Alwyn paying £1 less than the cost of his snack, Bax paying £3 more, Coates £4 less and Delius paid £4. What was the actual price of the snack that each friend ordered?Alwyn: --------- Bax: -------- Coates:---------- Delius: ---------- Alwyn pays 5,Bax paid 1, Coates 8, Delious paid 2 Alwyn pays 5,Bax paid 1, Coates 6, Delious paid 4 Alwyn pays 4,Bax paid 8, Coates 1, Delious paid 5 Alwyn pays 4,Bax paid 2, Coates 9 , Delious paid 6 Alwyn pays 7 ,Bax paid 3, Coates 7, Delious paid 7 None 27. Work out the following: (a) 3 + 5 + 7 + 9 = 24 20 15 19 30 None (b) 20 + 25 + 30 + 35 + 40 = 150 200 180 160 140 None Work out the following:(i) Multiply the average of 3 and 9 by 4 to get %BLANK% 24 20 15 19 30 None (ii) Multiply the average of 20 and 40 by 5 to get 150 200 180 160 170 None What do you notice about your answers to (a) and (b), and your answers to (i) and (ii)? both answers are equal both answers are not equal answers to (a)(b) are different from answers of (i)(ii) both answers are odd numbers none of the above None If you add a string of numbers which go up by the same amount each time you can work out the sum by finding the average of the first and last, and multiplying the answer by the number of numbers. Use this result to work out: 143 + 162 + 181 + 200 + 219 + 238 + 257 = 1400 1380 1350 1280 1300 None Use this approach to work out the sum of the numbers 2, 6, 10, 14, 18 and so on, as far as 58 (including the number 58). 450 435 360 500 400 None 28. In ordinary arithmetic, numbers are given in base 10 which means that for a number written as 469 there are 4 hundreds, 6 tens and 9 units so that 469 = 4 x 100 + 6 x 10 + 9 x 1 In base 5, only the digits 0, 1, 2, 3 and 4 are used. Instead of the columns representing hundreds, tens and units they now indicate how many twenty-fives, fives and units there are so the number 324 in base 5, represents 3 twenty-fives, 2 fives and 4 units so that 324 (base 5) = 3 x 25 + 2 x 5 + 4 x 1 = 75 + 10 + 4 = 89 (base 10)Use this process to convert the numbers 13 and 341, both given in base 5, into base 10:13 (base 5) = ------- (base 10) 341 (base 5) =--------(base 10) 13(base 5) = 8(base10) & 341(base5) = 96(base 10) 13(base 5) = 9(base10) & 341(base5) = 94(base 10) 13(base 5) = 6(base10) & 341(base5) = 92(base 10) 13(base 5) = 5(base10) & 341(base5) = 90(base 10) None of the above None It is possible to work backwards converting a number from base 10 to base 5.As an example, to convert 73 from base 10 to base 5 you could write: 73 = 50 + 20 + 3 = 2 x 25 + 4 x 5 + 3 x 1 so in base 5 the number would be written as 243.Use this process to convert the numbers 17 and 109, both given in base 10, into base 5:17 (base 10) = --------(base 5) 109 (base 10) = --------- (base 5) 17(base10) =32(base 5) & 109(base10) =414(base5) 17(base10) = 30(base 5) & 109(base10) =415(base5) 17(base10) = 28 (base 5) & 109(base10) =410(base5) 17(base10) = 35 (base 5) & 109(base10) =416(base5) None of the above None 29. The table below shows the prices of a week’s holiday at four hotels in Orlando Florida during October this year. The prices are per person and a reduction is offered for children aged 2 to 16 years old. The prices include the cost of the flight and accommodation. Infants under 2 years old travel free. There is an option to buy tickets to the theme parks. Infants have free entry. For example, if a family consisting of two adults and one child (aged 9) stay for a week at the Little Rodent Hotel the total cost of the holiday, including a rover theme park ticket for everyone, would be: 2 x 1320 + 780 + 2 x 320 + 240 = £4300HotelCost per adultCost per childAdult Rover TicketChild Rover TicketLittle Rodent£1320£780£320£240South Seas£1450£850£320£240Holiday Mill£1550£900£320£240Portomento Bay£2050£1040£320£240 None Work out the total cost for a family consisting of two adults and three children (aged 9, 6 and 1) to stay at the Holiday Mill for a week, including the cost of rover theme park tickets. £ 6020 £ 5380 £ 5500 £ 4220 £ 6050 None A family consisting of just one adult and a child (aged 11) decide to spend a week in Orlando. They are trying to choose between staying at the South Seas and Portomento Bay. How much more expensive will it be to stay at the Portomento Bay? £ 790 £ 890 £ 690 £ 700 £ 800 None The Adams family consisting of two parents and their children aged 14 and 17 travel to Orlando for a week’s theme park holiday. Before they leave the UK they buy their theme park tickets on-line using a special internet deal which provides a 25% reduction on all rover tickets. How much money do they save by buying these tickets on-line? £ 300 £ 200 £ 400 £ 250 £ 350 None The remaining cost of flights and accommodation for the Adams family is £5550. Which hotel did they stay at? Holiday Mill Protomento Bay South Seas Little Rodent none of the above None 30. In the square below each letter stands for a different number. It is known that the four numbers in the second column add up to 78, and the four numbers in the third column add up to 76. Use this information to work out the value of C. C = 20 40 38 30 10 None The four numbers in the first column add up to 112 and the four numbers in the fourth row add up to 100.Use this information to work out the remaining values of A, B and D.A = ------ B= ------- D= ------ A = 24, B = 32, D = 14 A = 20, B = 28, D = 10 A = 28, B = 36, D = 18 A = 19, B = 27, D = 9 A = 25, B = 16, D = 20 None Time's up
