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 2. Subtract 2018 from 8102. 3. Divide (2018-20+18) by 8. 4. Multiply 2018 by 17. 5. What number (written in digits) is twenty less than twenty thousand? 6. a) I thought of a number, halved it and then subtracted 9. I got an answer of 12. What was my original number? 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? 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? 7. a) The sum of three consecutive whole numbers is 60. What is the largest of the three numbers? b) What is the smallest positive whole number that divides exactly by 1,2,3,4 and 5? 8. What is the name of the special quadrilateral that has 4 lines of symmetry (or 'mirror lines')? 9. A right angled triangle has an angle of 55°. What is the size of the smallest angle in the triangle? 10. a) For the three fractions in the table above, write downi) the largest fraction ii) the smallest fraction b) Write (as a decimal) the difference between ¾ and 7/10 11. a) My flask holds 480ml when it is one quarter empty. How much does it hold when it is one quarter full? b) In the diagram, the small square are all the same size. What fraction of the large square is shaded? 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? 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? 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? Your new question! 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? 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? 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? b) How many minutes are there from 11.11 until 23.23 on the same day? c) Archie is 20 years, 20 months, 20 weeks and 20 days old. What age will he be on his next birthday? d) Gemma had a baby born on 1st February 2017. On what date will the baby be 400 days old? 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? 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? 20. Chi is facing North East In which direction will he be facing if he turns clockwise through 3 right angles? 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? b) In a sale, prices are reduced by 15%. What is the sale price of a hoody that originally cost £30? 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? 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? 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? ii) After how many metres were they level during the race? iii) Who won the race? 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? 26. 27. 5 toffees weight the same as 6 maltesers and 3 toffees. How many maltesers would weight the same as 9 toffees? 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. 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? 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.) 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? 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 ? 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 ii) What number does m stand for, if m * 6 = 41? iii) If n * 4 = 8 * n, what number does n stand for ? 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 2nd 6. a) Write down the answers to the calculations. (Hint: there is a quick way!)i) (49 × 37018) + (51 × 37018) ii) (26 × 37018) - (25 × 37018) b) How many triangles are there in this diagram? Time is Up!