THE HABERDASHER'S ASKE'S BOYS' SCHOOL (2009-2017) Paper 5 by smoothmaths | Jul 21, 2020 | 0 comments Welcome to your THE HABERDASHER'S ASKE'S BOYS' SCHOOL 11+ Entrance Examination 2014 1. Add: 29 + 356454747062 2. Subtract: 92 - 672535303224 3. Multiply: 34 x 9306286296310308 4. Divide: 87 ÷ 32933322827 5. Write the number twenty-four thousand and twenty-four in figures. 2402426024244202400242424 6. Round 567 to the nearest 100.600567500700 7. What number do you multiply 0.2 by to get an answer of 6?3020150.210 8. If 7 tennis lessons cost £167.65 what is the cost of 1 lesson?£23.95£22.95£23.958£22.956£24.951 9. The safety notice in a lift reads: The weights of the first five people to enter the lift are 90 kg, 80 kg, 95 kg,115 kg and 89 kg. What is the maximum weight of the sixth person in the lift if they all travel together safely? 111 kg191kg200 kg115 kg189 kg 10. Each branch of the flowering shrub, Mathematicus arithmetica has 5 stems. Each stem has 8 flowers and each flower has 11 petals. If a shrub has 3 branches, how many petals does it have?13201440165012201240 11. Write down two numbers which differ by 2 and multiply to 168.14 & 1216 & 1410 & 128 & 1018 & 16 12. Find the sum of all the numbers between 7 and 19 which are divisible by 4.3630343228 13. Five miles is the same distance as eight kilometres. Use this fact to convert: 20 miles into kilometres3238402030 13.(b) 40 kilometres into miles.2515354555 14. If 1590 sweets are shared equally between 122 children, how many sweets do they each get and how many are left over?13 each12 each14 each15 each16 each 14.(b) left over4 leftover5 leftover6 leftover7 leftover3 leftover 15. Hermione is 11 years old and her mother is 43 years old. How old will Hermione be when her mother is 12 times as old as Hermione was 7 years ago?1618121120 16. Suzie is given a number and told to divide it by 2 and then subtract 14. Although Suzie starts with the correct number she gets in a muddle and multiplies by 2 and then adds 14 instead. If her final answer is 142, what answer should she have got?1812141620 17. The cost of 3 apples, 5 oranges and 2 grapefruit is £3.02. The cost of 5 apples, 7 oranges and 4 grapefruit is £5.12. What is the total cost of one of each type of fruit?1.51.21.822.1 18. Children are offered a 25% discount on the cost of an adult ticket to visit Hamshaw House. Senior citizens are given a 20% discount. If a child’s ticket costs £30, how much does a senior citizen pay?3240303638 19. The diagram shows the one-way cycle paths in a town. The diagram is not to scale but the distance along each section of the route is shown and is measured in kilometres. How many possible routes are there in total from A to B? How long is the shortest distance from A to B? 7 possible roots & 12 km is shortest8 possible roots & 12 km is shortest5 possible roots & 4 km is shortest2 possible roots & 8 km is shortest6 possible roots & 10 km is shortest 20. A tortoise and a hare take part in a race which has a staggered start in order to make the race fair.The hare needs to run a distance of 400 metres to cross the finishing line whereas the tortoise only needs to travel 1.5 metres. The hare runs at a speed of 800 metres per minute. At what speed (in metres per minute) does the tortoise need to run to cross the finishing line at the same time as the hare?3 meters per minute5 meters per minute4 meters per minute6 meters per minute2 meters per minute 21. John experiments by rolling a single dice and a spinner simultaneously. He rolls an ordinary dice with a possible score of 1, 2, 3, 4, 5 or 6. At the same time he also spins a spinner with a possible score of 0, 1, 2 or 3. His total score is worked out by multiplying the two individual scores together. Complete the table below to show all 24 equally likely final scores. Score 1 2 3 4 5 6 0 %BLANK% %BLANK% %BLANK% %BLANK% %BLANK% %BLANK% 1 %BLANK% %BLANK% 3 %BLANK% %BLANK% %BLANK% 2 %BLANK% %BLANK% %BLANK% %BLANK% %BLANK% 12 3 %BLANK% %BLANK% %BLANK% 12 %BLANK% %BLANK% If he repeats this experiment lots and lots of times, what fraction of the total scores are(a) = 0 \[\frac{1}{4}\]\[\frac{13}{4}\]\[\frac{4}{4}\]\[\frac{5}{4}\]\[\frac{7}{4}\] 21.(b) 12 or more?\[\frac{1}{6}\]61\[\frac{2}{5}\]\[\frac{3}{7}\] 22. The bar chart shows the average maximum monthly temperature for London. The scale on the left-hand side of the diagram is measured in degrees Centigrade. The line graph gives the total monthly rainfall for London. The scale on the right-hand side of the diagram is measured in millimetres. 22.(a)What is the average maximum temperature in October? %BLANK%1615101713 22.(b)Which two months are the hottest? July and AugustJune and MarchApril and MayMarch and MayJanuary and August 22.(c)Which is the driest month of the year?MarchAprilMayJulyOctober 22.(d)The average rainfall for the first three months of the year is \[\frac{50+40+35}{3}\] = \[\frac{125}{3}\] = 41 \[\frac{2}{3}\] mmWork out the average rainfall for the last three months. Give your answer as a mixed fraction.63 \[\frac{1}{3}\]64 \[\frac{2}{3}\]61 \[\frac{2}{3}\]42 \[\frac{2}{3}\]45 \[\frac{1}{3}\] 23. Amar makes patterns out of sticks: Draw Pattern 4 and complete the table. Pattern Number Number of Sticks 1 4 2 10 3 16 4 7 70 24. The time in Adelaide (Australia) is 8 hours 30 minutes ahead of the time in London. The time in San Francisco (America) is 8 hours behind the time in London. If it is 8:45 pm on 10th January in Adelaide what is the time and date in London?12:15pm & date is 10 January1:15pm & date is 11 January11:15pm & date is 11 January12:15pm & date is 10 January12:00pm & date is 9 January 24.(b)If it is 9:23 am on 30th September in San Francisco what is the time and date in Adelaide?Time is %BLANK%1:53am & date is 1st October1:53pm & date is 2nd October1:00pm & date is 30 september1:00am & date is 30 Septembernone of the above 25. Mr T has designed the kitchen tile shown below: Show what this tile will look like after it has been turned through ninety degrees anti-clockwise. 26. The diagram below (not to scale) shows three squares stuck onto the sides of a right-angled triangle with sides of lengths, 5 cm, 12 cm and 13 cm. Complete the table to show the area of each square and hence write down a simple connection between the areas of the squares A, B and C. Square Area of Square A 25 \[cm^{2}\] B 144 \[cm^{2}\] C Connection between the areas of squares, A, B and C: Assuming that this connection works for all right-angled triangles, work out the length of square C in the diagram below: Length of square C: 27. My friend George is really good at maths so I decide to ask him some tricky questions to see if I can catch him out. Needless to say he got all three questions right! Write George’s answers in the spaces provided. Question 1 If it takes 90 minutes for two identical towels to dry on a washing line, how long would three of these towels have taken to dry?90 min60 min120 min180 min270 min 27. Question 2In the winter, I try and climb up an icy slope starting at the bottom. Each time I make a move I find that I go up four metres but then slide back down two metres. How many moves do I need to get to the top which is 8 metres up the slope from the bottom?3 moves8 moves6 moves4 moves1 move 27.Question 3The area of mould growing on my bathroom wall doubles every day. After 13 days the area covered is 2880 \[cm^{2}\] . After how days did the area first exceed 300 \[cm^{2}\]?10 days8 days13 days15 days6 days 28. We write S(2,5) as an abbreviation for 2 + 3 + 4 + 5 so that S(2,5) = 14. Similarly,(a). S(6,39) = 6 + 7 + 8 + 9 .... + 38 + 39 = 765 Work out: S(1,3)635910 28.(b) S(6,40) %BLANK%805750820800900 28.(c)S(7,38)720723730740750 28.(d)) S (1,2) - S (2,3) + S (3,4) - S (4,5) + ......... - S (18,19) + S (19,20)2118201215 29. Freddie writes down all whole numbers between 1 and 1000 inclusive: 1, 2, 3, 4, …., 9, 10, 11, 12, 13, ….,99, 100, 101, 102, 103, …., 999, 1000. How many individual digits does he write down?28932882288428802889 30. The area of a circle with diameter 34 cm is 908 \[cm^{2}\] (a) Use this fact to work out the area of each of the shaded regions shown in the diagrams (not drawn to scale) below. 2608908260020001700 30.(b) Area = %BLANK%398350300280390 30.(c) Area = %BLANK%248240250280300 Time is Up! Time's up