BANCROFT'S SCHOOL 11+ ENTRANCE EXAMINATIONS MATHS SAMPLE PAPER 2 June 20, 2020 - Jintendra No Comments Welcome to your BANCROFT'S SCHOOL 11+ ENTRANCE EXAMINATIONS MATHS SAMPLE PAPER 2 1. Answer as many questions as you can. If you get stuck, go on to the next question.2. Show All Working.3. Write each answer in the space provided. The number in brackets is the number of marks for each question.4. No calculators allowed. 2. Add together 369 and 2468. 3. Subtract 364 from 2046. 4. Multiply 193 by 72. 5. Divide 60600 by 8. 6. a) A crate holds 8 cartons of milk. How many crates are needed to hold 349 cartons ? b) Seven adult cinema tickets cost £24.50. How much will four adult tickets cost ? c) Flora is exactly eleven and a half years old. How many months old is she? 7. My four pet monkeys collected a pile of 60 peanuts. Monkey A woke in the night and ate half of them, then Monkey B woke and ate one third of what was left, then Monkey C woke and ate one quarter of the rest and finally Monkey D woke and ate one fifth of what remained.i) How many peanuts did Monkey D eat? ii) How many peanuts were left in the morning ? 8. Last week George spent 12 hours playing on his Xbox. He spent the same length of time on it each weekday and twice as long on it each day at the weekend. How long (in hours and minutes) did he spend on his Xbox on Saturday ? 9. a) Write down the decimal number that the arrow is pointing to: b) Write down ( in simplest from) the fraction that the arrow is pointing to: c) i) The jug contains water up to the level shown in the diagram. How many millilitres (ml) of water are in the jug ? ii) Chan now empties the jug of water by pouring equal amounts into six identical empty beakers. One of the beakers is shown in the diagram. Draw a line on the beaker to indicate the level of water in it. ii) Calculate the difference between the largest and smallest of these four decimals. 11. a) 20% of a number is 3.2 . What is the number? b) Calculate the value of 135 ÷ (1 + 3 + 5) c) Hasan correctly worked out that 3 × 31 × 73 = 6789. What is the value of 6789 ÷ 31 ? 12. 40% of the children on a school trip are boys and there are 72 girls. How many children are on the trip ? 13. In this question, give your answers as fractions in their simplest form. Raj has a bag that contains 8 blue and 12 red marbles only.i) What fraction of the marbles in the bag are blue ? ii) Raj takes 2 blue marbles out of the bag. Now what fraction of the marbles in the bag are blue? 14. Here is Luke. i) If Luke starts with 3.7, what answer will he get ? ii) What number should Luke start with to get an answer of 24 ? ii) If they all set off at the same time, who arrives first ? 18. The total surface area of a cube is 96 cm². i) What is the area of one face of the cube ? ii) What is the length of one edge of the cube ? 20. Sam is given 27 identical white cubes. He is told to paint some of the faces grey and then stack the cubes so that they appear as shown. How many of the cubes definitely have some grey paint on them ? 21. a) Yusuf has 6 equilateral triangles, each with a perimeter of 12cm. He fits them together to make a regular hexagon. What is the hexagon's perimeter ? b) Shreya has 4 equilateral triangles, each with a perimeter of 12cm. She fits them together to make a large equilateral triangle. What is the perimeter of the larger equilateral triangle ? 22. A litre of water 1 kg and a litre of ice weights 900g. How many more grams will 6 litres of water weigh compared to 5 litres of ice ? ii) Maya drew a pie chart to show all their choices. How many degrees should 'Water' have on her pie chart ? 25. i) Write down the coordinates of point A. ii) Draw a line from B to C and write down the coordinates of the midpoint of the line. 26. Here are four cards. i) Choose two cards to make a two-digit multiple of 6. ii) Choose two cards to make a two-digit factor of 60. 28. In this partly completed pyramid, each rectangle is to be filled with the sum of the numbers in the two rectangles just below it.What number should replace x ? 29. A rectangle measuring 7 cm by 6 cm overlaps a rectangle measuring 9 cm by 8 cm as shown in the diagram. The region shaded grey has an area of 32 cm². What is the area of the black region? YOU HAVE NOW FINISHED SECTION A. NOTE: THERE ARE NO SECTIONS B OR C. THE NEXT SECTION IS SECTION D.SECTION DDO NOT START THIS SECTION UNTIL YOU HAVE DONE AS MUCH AS YOU CAN IN SECTION A.YOU ARE NOT EXPECTED TO BE ABLE DO ALL OF THESE QUESTIONS.IF YOU CANNOT ANSWER A PARTICULAR QUESTION TRY THE NEXT ONE.DO AS MUCH QUESTIONS AS YOU CAN. 2. a) The difference between 1/3 of a certain number and ¼ of the same number is 3. What is the number? b) 383 and 6226 are examples of palindromic numbers as they read the same when the order of their digits is reversed. Write down the largest five-digit palindromic number that is a multiple of 5. c) The order of the digits is reversed in a certain two-digit whole number. This gives a new whole number which is one less than half of the original number. What is the original number? 4. Every digit of a certain positive whole number is either a 3 or a 4, with each occurring at least once. The number divides exactly by both 3 and 4. What is the smallest number it could be? 5. Hareni has twice as many sweets as Dora. After eating 18 sweets each, she has five times as many as Dora. How many sweets did Hareni start with? 6. a) Aidam has a lot of sugar cubes which he finds he can build into one larger cube or spread out to make a square one layer high. What is the smallest number of sugar cubes that Aidan could have? b) The diagram shows a pyramid made up of 30 cubes, each of which measures 1cm by 1cm by 1cm. What is the total surface area of the whole pyramid (including its base)? 7. a) Three cereal bars, two apples and one tube of mints cost £3.14. Two cereal bars, three apples and four tubes of mints cost £4.21. What is the total cost of buying one cereal bar, one apple and one tube of mints? Time is Up! JAMES ALLEN’S GIRLS’ SCHOOL 11+ ENTRANCE EXAMINATION SAMPLE PAPER MATHEMATICS City of London School for Girls Sample Paper Jintendra

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