Bancroft’s Sample Paper 11+ Maths by smoothmaths | Jun 16, 2020 | 0 comments Welcome to your BANCROFT'S SCHOOL 11+ ENTRANCE EXAMINATIONS MATHS SAMPLE PAPER 11. Fill in the missing numbers in the boxes.2018- ——–— = 1989 29 28 30 27 26 None 0.5/1/2 = ——–— 1 0.5 0.1 0.2 0.3 None 18 + ——–—+ 23 = 67 26 28 24 27 29 None ——–— *5*10 = 4500 90 80 70 60 50 None 3/4 of 36 = ——–— 27 17 37 25 29 None Write in figures the number two million, two hundred and two = ——–— 2000202 200220 2002020 2000022 2020020 None 2. Subtract 2018 from 8102. 6084 6194 6184 6094 7084 None 3. Divide (2018-20+18) by 8. 252 249 242 262 232 None 4. Multiply 2018 by 17. 34306 30256 34256 34366 30366 None 5. What number (written in digits) is twenty less than twenty thousand? 19980 19890 19970 19990 None of the Above None 6. a) I thought of a number, halved it and then subtracted 9. I got an answer of 12. What was my original number? 42 44 46 18 48 None b) Fawzan went shopping with £100 in his wallet.He spent 10% of his money on a book and 20% of the rest on a DVD. How much money did he then have left? £72 £84 £64 £82 £76 None c) Abdual is making some small snacks for a party. He cuts 1.2 kg of cheese into a number of 30 g pieces. How many pieces does he have? 40 30 50 10 20 None 7. a) The sum of three consecutive whole numbers is 60. What is the largest of the three numbers? 21 31 11 25 23 None b) What is the smallest positive whole number that divides exactly by 1,2,3,4 and 5? 60 72 56 84 48 None 8. What is the name of the special quadrilateral that has 4 lines of symmetry (or 'mirror lines')? Square Rectangle Rhombus Parallelogram None of the Above None 9. A right angled triangle has an angle of 55°. What is the size of the smallest angle in the triangle? \[35^{o}\] \[25^{o}\] \[45^{o}\] \[15^{o}\] \[30^{o}\] None 10. a) For the three fractions in the table above, write downi) the largest fraction \[\frac{3}{4}\] \[\frac{2}{3}\] \[\frac{1}{3}\] \[\frac{1}{2}\] \[\frac{1}{4}\] None 10. a) For the three fractions in the table above, write down ii) the smallest fraction \[\frac{2}{3}\] \[\frac{3}{4}\] \[\frac{1}{2}\] \[\frac{7}{10}\] \[\frac{1}{4}\] None b) Write (as a decimal) the difference between ¾ and 7/10 0.05 0.02 0.06 0.04 0.08 None 11. a) My flask holds 480ml when it is one quarter empty. How much does it hold when it is one quarter full? 160ml 120ml 140ml 170ml 150ml None b) In the diagram, the small square are all the same size. What fraction of the large square is shaded? \[\frac{1}{2}\] \[\frac{1}{4}\] \[\frac{1}{6}\] \[\frac{1}{3}\] \[\frac{1}{5}\] None 12. a) I set off with a £10 note to buy a book costing £4.95, a cake costing £1.30 and a new pen. I got £2.25 change. How much did the pen cost? £1.50 £1.40 £1.20 £1.30 £1.60 None b) Six children each had an equal share of a sum of money. They each received £3.18 and there was 2p left over. How much was the sum of money? £19.10 £12.08 £18.06 £15.10 £16.50 None c) Auntie Jean is saving all her 5p coins in a jar. The total amount of money in the jar is £18.55. How many coins are in the jar? 371 341 271 471 361 None 13. What is the missing number in each of these sequences?i) 3, 12, ....., 48, 96 Missing number = ——–— 24 22 20 26 18 None 13. What is the missing number in each of these sequences?ii) 3, 13, 24, ....., 49, 63 Missing number = ——–— 36 26 46 34 30 None 14. I write down a sequence of numbers. My first number is 160 000 and then I divide by 4 to get the next number each time. What is the 5th number in my sequence? 625 2500 125 325 475 None 15. Ben makes a stack of identical cans with 6 on the bottom row, 5 above that, then 4, then 3, then 2, then 1 on top. Jamal makes a stack twice as high. How many cans are there in Jamal's stack? 78 64 84 72 76 None 16. a) Freya puts a casserole in the oven at 11.40am. It needs 1 hour and 45 minutes to cook. At what time will it be cooked? 1:25pm 12:50pm 1:15pm 1:40pm 1:30pm None b) How many minutes are there from 11.11 until 23.23 on the same day? 732minutes 536minutes 632minutes 432minutes 736minutes None c) Archie is 20 years, 20 months, 20 weeks and 20 days old. What age will he be on his next birthday? 23 years old 21 years old 22 years old 24 years old 25 years old None d) Gemma had a baby born on 1st February 2017. On what date will the baby be 400 days old? 43167 43160 43132 43139 43165 None 17. The face of a cube are painted so that any two faces with an edge in common are painted different colours. What is the smallest number of colours needed? 3 4 6 5 2 None 18. A solid wooden cube is painted blue on the outside. The cube is then cut into eight smaller cubes of equal size. What is the total number of faces of the smaller cubes that have blue paint on them? 24 faces 20 faces 22 faces 28 faces 26 faces None 19. Chi is facing North East In which direction will he be facing if he turns clockwise through 3 right angles? North West East West South North South None 20. a) A group of 30 adults and 16 children paid £408 in total to watch a football match. Each child ticket cost £3. What was the cost of each adult ticket? £12 £16 £10 £14 £18 None b) In a sale, prices are reduced by 15%. What is the sale price of a hoody that originally cost £30? £25.50 £26.50 £24.50 £22.60 None of the Above None c) Guy has twice as many stickers as Asif and five more than Kayal. They have 35 stickers altogether. How many stickers does Guy have? 16 12 14 10 11 None 21. A cube has each of its faces covered by one face of an identical cube, making the solid shape shown. The volume of the solid shape is 875 cm³. a) What is the volume of one of the cubes? 125\[cm^{3}\] 225\[cm^{3}\] 625\[cm^{3}\] 375\[cm^{3}\] 250\[cm^{3}\] None b) What is the length of one side of a cube? 5cm 6cm 7cm 4cm 8cm None 22. Maria and Kay ran a 1500 metres race. The graph shows information about the race.i) For how many minutes was Kay in the lead? 3minutes 2minutes 4minutes 5minutes None of the Above None ii) After how many metres were they level during the race? 600 meters & 1200 meters 700 meters & 1300 meters 500 meters & 1100 meters 800 meters & 1400 meters 900 meters & 1500 meters None iii) Who won the race? Maria Kay Nobody lost Nobody won None of the Above None 23. The diagram shows the coordinates of three points A, B and C.Shape ABCD is a kite.What are the coordinates of point D? (5,2) (6,3) (4,1) (5,3) (2,5) None 24. 6triangles 4squares 5 circles 6squares None of the Above None 25. 5 toffees weight the same as 6 maltesers and 3 toffees. How many maltesers would weight the same as 9 toffees? 27 17 14 28 12 None 26. In a game you need to get three coloured discs (green, blue and red) in the correct order.Three attempts have been made and are shown below, with the number of discs that are in the correct positions.What is the correct order for the three coloured discs?Position 1 %BLANK% Position 2 %BLANK% Position 3 %BLANK% position1 Blue, position2 Red, position3 Green position1 Green, position2 Blue, position3 Red position1 Red, position2 Blue, position3 Green position1 Green, position2 Red, position3 Blue None of the Above None 27. Given that 44 × 382 = 16808, use this information to work these out:i) 16808 ÷ 382 %BLANK% 44 24 54 34 64 None 27. Given that 44 × 382 = 16808, use this information to work these out:ii) 88 × 191 16808 16880 16088 10688 None of the Above None 27. Given that 44 × 382 = 16808, use this information to work these out:iii) 1680.8 ÷ 44 38.2 36.5 28.2 48.5 26.2 None 28. The diagram shows a pentagonal prism. Write the letter of the one shape below that is a net for the pentagonal prism. D A B C E None YOU HAVE NOW FINISHED SECTION A.NOTE: THERE ARE NO SECTIONS B OR C. THE NEXT SECTION IS SECTION D.1. Dave has a lot of tables. Each rectangular table seats 8 people. Each round table seats 5 people. What is the smallest number of table of each type that Dave needs to use to seat 35 friends and himself, without any empty seats? 2 rectangular tables, 2 round tables 3 rectangular tables, 3 round tables 1 rectangular tables, 1 round tables 4 rectangular tables, 3 round tables 2 rectangular tables, 1 round tables None 2. a) Which one of the following numbers is three less than a multiple of 5 and three more than a multiple of 6 ? A. 12 B. 17 C. 21 D. 22 E. 27 None b) What is the samllest four-digit positive whole number which has four different digits? 1023 1203 1032 1302 None of the Above None c) How many odd three-digit numbers is it possible to make, using just the numbers 7,8 and 9 ? (You are allowed to use each of the numbers more than once in a particular three-digit number.) 18 12 16 10 20 None 3. a) Fill in each box with either + or − to make the answer of 100. 123 ——–— 45 ——–— 67 ——–— 89 = 100 - , - , + - , - , - + , - , + - , + , + + , + , + None b) Last year, 275 of the 500 pupils at Woodgreen School were boys. This year, there are 540 pupils in the school but the proportion of boys is the same as last year. How many boys are at the school this year? 257 247 237 267 277 None c) Maya cuts a 6 metre piece of string into three different pieces. The longest piece is 40 cm longer than the middle piece. The middle piece is 70 cm longer than the shorter piece. How long (in centimetres) is the longest piece ? 250cm 210cm 200cm 260cm 240cm None 4. The symbol * is used like this: a * b = 5 times a, plus b.For example, 2 * 7 = (5 × 2) + 7 = 17.i) Find the value of 9 * 8 53 49 43 63 54 None ii) What number does m stand for, if m * 6 = 41? 7 6 5 4 3 None iii) If n * 4 = 8 * n, what number does n stand for ? 9 8 7 6 5 None 5. Rob, Bertie and Dom ran a race. Just one of the following four statements is true. Which one is it? A. Rob came 1st B. Bertie came 1st C. Dom came 2nd D. Dom did not came 2nd None of the Above None 6. a) Write down the answers to the calculations. (Hint: there is a quick way!)i) (49 × 37018) + (51 × 37018) 3701800 3071800 3700180 3071080 None of the Above None ii) (26 × 37018) - (25 × 37018) 37018 37108 30718 37180 None b) How many triangles are there in this diagram? 12 3 6 9 8 None 7. Given that none of A, B or C is zero, work out what number each of the letters stands for in these two calculations. A = %BLANK% B = %BLANK% C = %BLANK% A=6, B=2, C=5 A=3, B=4, C=2 A=8, B=6, C=8 A=6, B=3, C=4 A=5, B=2, C=6 None 7. Given that none of A, B or C is zero, work out what number each of the letters stands for in these two calculations. D = %BLANK% E = %BLANK%F = %BLANK% D=1, E=4, F=8 D=2, E=5, F=9 D=3, E=6, F=7 D=1, E=3, F=6 None of the Above None Time's up
