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 1 1. Fill in the missing numbers in the boxes.2018- ——–— = 19892928302726 0.5/1/2 = ——–—10.50.10.20.3 18 + ——–—+ 23 = 672628242729 ——–— *5*10 = 45009080706050 3/4 of 36 = ——–—2717372529 Write in figures the number two million, two hundred and two = ——–—2000202200220200202020000222020020 2. Subtract 2018 from 8102.60846194618460947084 3. Divide (2018-20+18) by 8.252249242262232 4. Multiply 2018 by 17.3430630256342563436630366 5. What number (written in digits) is twenty less than twenty thousand?19980198901997019990None of the Above 6. a) I thought of a number, halved it and then subtracted 9. I got an answer of 12. What was my original number? 4244461848 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 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?4030501020 7. a) The sum of three consecutive whole numbers is 60. What is the largest of the three numbers?2131112523 b) What is the smallest positive whole number that divides exactly by 1,2,3,4 and 5?6072568448 8. What is the name of the special quadrilateral that has 4 lines of symmetry (or 'mirror lines')?SquareRectangleRhombusParallelogramNone of the Above 9. A right angled triangle has an angle of 55°. What is the size of the smallest angle in the triangle?\[35^{o}\]\[25^{o}\]\[45^{o}\]\[15^{o}\]\[30^{o}\] 10. a) For the three fractions in the table above, write downi) the largest fraction \[\frac{3}{4}\]\[\frac{2}{3}\]\[\frac{1}{3}\]\[\frac{1}{2}\]\[\frac{1}{4}\] 10. a) For the three fractions in the table above, write down ii) the smallest fraction\[\frac{2}{3}\]\[\frac{3}{4}\]\[\frac{1}{2}\]\[\frac{7}{10}\]\[\frac{1}{4}\] b) Write (as a decimal) the difference between ¾ and 7/100.050.020.060.040.08 11. a) My flask holds 480ml when it is one quarter empty. How much does it hold when it is one quarter full? 160ml120ml140ml170ml150ml b) In the diagram, the small square are all the same size. What fraction of the large square is shaded? \[\frac{1}{2}\]\[\frac{1}{4}\]\[\frac{1}{6}\]\[\frac{1}{3}\]\[\frac{1}{5}\] 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 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 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?371341271471361 13. What is the missing number in each of these sequences?i) 3, 12, ....., 48, 96 Missing number = ——–—2422202618 13. What is the missing number in each of these sequences?ii) 3, 13, 24, ....., 49, 63 Missing number = ——–—3626463430 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?6252500125325475 15. A pattern that repeats every six symbols starts like this:i) What is the 100th symbol in the sequence? ii) What is the 107th symbol in the sequence? 16. 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?7864847276 17. 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?1:25pm12:50pm1:15pm1:40pm1:30pm b) How many minutes are there from 11.11 until 23.23 on the same day?732minutes536minutes632minutes432minutes736minutes c) Archie is 20 years, 20 months, 20 weeks and 20 days old. What age will he be on his next birthday?23 years old21 years old22 years old24 years old25 years old d) Gemma had a baby born on 1st February 2017. On what date will the baby be 400 days old?4316743160431324313943165 18. 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?34652 19. 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 faces20 faces22 faces28 faces26 faces 20. Chi is facing North East In which direction will he be facing if he turns clockwise through 3 right angles?North WestEastWestSouthNorth South 21. 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 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£22.60None of the Above 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?1612141011 22. 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\[cm^{3}\] b) What is the length of one side of a cube? 24. 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?3minutes2minutes4minutes5minutesNone of the Above ii) After how many metres were they level during the race?600 meters & 1200 meters700 meters & 1300 meters500 meters & 1100 meters800 meters & 1400 meters900 meters & 1500 meters iii) Who won the race?MariaKayNobody lostNobody wonNone of the Above 25. 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) 26.6triangles4squares5 circles6squaresNone of the Above 27. 5 toffees weight the same as 6 maltesers and 3 toffees. How many maltesers would weight the same as 9 toffees?2717142812 28. 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 Greenposition1 Green, position2 Blue, position3 Redposition1 Red, position2 Blue, position3 Greenposition1 Green, position2 Red, position3 BlueNone of the Above 29. Given that 44 × 382 = 16808, use this information to work these out:i) 16808 ÷ 382 %BLANK%4424543464 29. Given that 44 × 382 = 16808, use this information to work these out:ii) 88 × 19116808168801608810688None of the Above 29. Given that 44 × 382 = 16808, use this information to work these out:iii) 1680.8 ÷ 4438.236.528.248.526.2 30. The diagram shows a pentagonal prism. Write the letter of the one shape below that is a net for the pentagonal prism. 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 tables3 rectangular tables, 3 round tables1 rectangular tables, 1 round tables4 rectangular tables, 3 round tables2 rectangular tables, 1 round tables 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. 12B. 17C. 21D. 22E. 27 b) What is the samllest four-digit positive whole number which has four different digits?1023120310321302None of the Above 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.)1812161020 3. a) Fill in each box with either + or − to make the answer of 100. 123 ——–— 45 ——–— 67 ——–— 89 = 100- , - , +- , - , -+ , - , +- , + , ++ , + , + 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?257247237267277 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 ?250cm210cm200cm260cm240cm 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 * 85349436354 ii) What number does m stand for, if m * 6 = 41?76543 iii) If n * 4 = 8 * n, what number does n stand for ?98765 5. Rob, Bertie and Dom ran a race. Just one of the following four statements is true. Which one is it?A. Rob came 1stB. Bertie came 1stC. Dom came 2ndD. Dom did not came 2ndNone of the Above 6. a) Write down the answers to the calculations. (Hint: there is a quick way!)i) (49 × 37018) + (51 × 37018)3701800307180037001803071080None of the Above ii) (26 × 37018) - (25 × 37018)3701837108307183071837180 b) How many triangles are there in this diagram? 123698 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=5A=3, B=4, C=2A=8, B=6, C=8A=6, B=3, C=4A=5, B=2, C=6 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=8D=2, E=5, F=9D=3, E=6, F=7D=1, E=3, F=6None of the Above Time is Up!