Bancroft’s School Sample 11 Plus Maths Paper 2 2016 Online Quiz view all papers Welcome to your BANCROFT'S SCHOOL 11+ ENTRANCE EXAMINATIONS MATHS SAMPLE PAPER 21. 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.1. Fill in the missing numbers in the boxes. a). 88 + ———— = 173 75 95 85 80 65 None 1. Fill in the missing numbers in the boxes. b). (17 × 2) - (27 × 0) = 7 34 27 24 4 None 1. Fill in the missing numbers in the boxes.c). 1.25 - ———— = 0.75 0.1 0.25 0.2 0.3 0.5 None 1. Fill in the missing numbers in the boxes. d). ———— × 0.25 = 1 3 0.5 2 1 4 None 1. Fill in the missing numbers in the boxes.e). 64 ÷ 8 = 32 ÷ ———— 4 8 6 2 3 None 1. Fill in the missing numbers in the boxes. f). (3 × 2 × 1) - (3 + 2 + 1) = ———— 8 6 0 5 4 None 2. Add together 369 and 2468. 2727 2837 2737 2800 2750 None 3. Subtract 364 from 2046. 1682 2322 1782 1680 1700 None 4. Multiply 193 by 72. 2037 1737 13896 13796 12686 None 5. Divide 60600 by 8. 6567 7500 7000 7575 5567 None 6. a) A crate holds 8 cartons of milk. How many crates are needed to hold 349 cartons ? 43 crates 44 crates 41 crates 40 crates 45 crates None 6.b) Seven adult cinema tickets cost £24.50. How much will four adult tickets cost ? £ 18 £ 13 £ 10 £ 15 £ 14 None 6.c) Flora is exactly eleven and a half years old. How many months old is she? 130 months 33 months 132 months 138 months 126 months None 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? 2 5 8 3 15 None 7.ii) How many peanuts were left in the morning ? 18 5 12 10 16 None 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 ? 2hrs 40mins 2hrs 30mins 3hrs 40mins 1hr 20mins 2hrs 50mins None 9. a) Write down the decimal number that the arrow is pointing to: 0.6 0.5 0.7 0.8 0.4 None 9.b) Write down ( in simplest from) the fraction that the arrow is pointing to: \[\frac{1}{3}\] \[\frac{3}{5}\] \[\frac{4}{15}\] \[\frac{1}{5}\] \[\frac{2}{5}\] None 9.c) i) The jug contains water up to the level shown in the diagram. How many millilitres (ml) of water are in the jug ? 180ml 1800ml 1.8ml 1200ml 1400ml None 9.c 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. 200ml 600ml 900ml 300ml 400ml None 10. i) Write the following decimal numbers in order from smallest to largest: 7.044,7.07,7.4004,7.41 7.044,7.41,7.07,7.4004 7.07,7.044,7.4004,7.41 7.044,7.07,7.41,7.4004 7.41,7.4004,7.07,7.044 None 10.ii) Calculate the difference between the largest and smallest of these four decimals. 0.3 0.374 6.634 0.366 0.5 None 11. a) 20% of a number is 3.2 . What is the number? 15 16 1.6 6 20 None 11.b) Calculate the value of 135 ÷ (1 + 3 + 5) 1.5 16 15 5 17 None 11.c) Hasan correctly worked out that 3 × 31 × 73 = 6789. What is the value of 6789 ÷ 31 ? 200 300 250 210 219 None 12. 40% of the children on a school trip are boys and there are 72 girls. How many children are on the trip ? 60 100 150 72 120 None 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 ? \[\frac{8}{20}\] \[\frac{2}{5}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{3}{5}\] None 13.ii) Raj takes 2 blue marbles out of the bag. Now what fraction of the marbles in the bag are blue? \[\frac{1}{6}\] \[\frac{6}{18}\] \[\frac{2}{5}\] \[\frac{1}{3}\] \[\frac{1}{5}\] None 14. Here is Luke.i) If Luke starts with 3.7, what answer will he get ? 3 2.4 1.4 3.4 None 14. ii) What number should Luke start with to get an answer of 24 ? 15 9.5 58 14 14.5 None 15. Fill in the missing digits in each of these calculations:a) 1 5 –———— 9 + ————— 7 ————— — ———————————————————————————— 2 3 5 3 ————————————————————————————— None 15. Rio travels directly from A to C at a speed of 80 km/hr. Harry travels from A to B to C at 100 km/hr. Fahad travels directly from A to C at 60 km/hr. i) How long (in hours and minutes) does each person take? Rio takes ————— hours ————— Minutes Harry takes ————— hours ————— Minutes Fahad takes ————— hours ————— Minutes Rio=2hrs 30mins, Harry=3hrs 0mins, Fahad=3hrs 20mins Rio=3hrs 30mins, Harry=3hrs 0mins, Fahad=3hrs 20mins Rio=2hrs 30mins, Harry=2hrs 0mins, Fahad=3hrs 20mins Rio=2hrs 30mins, Harry=3hrs 0mins, Fahad=2hrs 20mins Rio=4hrs 30mins, Harry=3hrs 0mins, Fahad=3hrs 20mins None ii) If they all set off at the same time, who arrives first ? Fahad Harry Rio both a&b none of the above None 16. Here are four hexagons (A, B, C, D) drawn on squared paper. Write down the number of lines of symmetry for each hexagon. A. ————— B. ————— C. ————— D. ————— A=3,B=1,C=2,D=0(none) A=1,B=1,C=2,D=0(none) A=2,B=1,C=3,D=0(none) A=2,B=1,C=2,D=1 A=2,B=1,C=2,D=0(none) None 17. The total surface area of a cube is 96 cm². i) What is the area of one face of the cube ? 15 \[cm^{2}\] 11 \[cm^{2}\] 16 \[cm^{2}\] 10 \[cm^{2}\] 20 \[cm^{2}\] None 18.ii) What is the length of one edge of the cube ? 12cm 16cm 8cm 4cm 2cm None 18. Only three of the nets shown below can be used to make a cube. Write the letters (A, B, C, D, E) of the nets which do NOT make a cube. ————— and ————— C&D A&E C&E A&B B&E None 19. 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 ? 10 cubes 12 cubes 15 cubes 9 cubes 11 cubes None 20. 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? 20cm 16cm 24cm 12cm None 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 ? 8cm 24 \[cm^{2}\] 12cm 15cm 24cm None 21. 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 ? 1500kg 1200g 1500g 1000g 500g None 22. 20 people were asked to choose a drink. One quarter chose tea. Seven people chose coffee. 30% of them chose cola. The rest chose water.i) How many people chose water ? 1 2 3 5 6 None 22. ii) Maya drew a pie chart to show all their choices. How many degrees should 'Water' have on her pie chart ? 36 24 12 8 6 None 23. The bar chart shows the number of patients (adults and children) seen by Dr Patel in June and July.i) How many patients did Dr Patel see in June? 160 120 150 130 170 None ii) How many children did Dr Patel see in July? 150 240 80 160 140 None iii) What fraction of the patients seen by Dr Patel in July were children? \[\frac{3}{2}\] \[\frac{2}{3}\] \[\frac{1}{3}\] \[\frac{1}{4}\] \[\frac{1}{5}\] None 24. i) Write down the coordinates of point A. (2,0) (1,2) (0,2) (1,4) (0,3) None ii) Draw a line from B to C and write down the coordinates of the midpoint of the line. (1,5) (2,6) (4,3) (1,4) (2,5) None 25. Here are four cards.i) Choose two cards to make a two-digit multiple of 6. 36 18 24 30 22 None ii) Choose two cards to make a two-digit factor of 60. 20 12 10 15 30 None 26. Jada picks one of these cards at random. Here are some possible outcomes:A. The number on the card will be a factor of 24.B. The number on the card will be a multiple of 2.C. The number on the card will be a factor of 3.D. The number on the card will be a factor of 5.E. The number on the card will be a square number.i) Which of these outcomes (A, B, C, D, E) is most likely to happen? A B C D E None ii) Which of these outcomes is least likely to happen? A B C D E None iii) Which two of these outcomes are equally likely to happen? C&D B&D A&E C&E A&D None 27. 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 ? 6 2 4 5 3 None 28. 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? 65\[cm^{2}\] 72\[cm^{2}\] 62cm 55\[cm^{2}\] 62\[cm^{2}\] None 29. Erin builds the four 3-D models A, B, C and D shown below.She turns each model around into positions 1,2, 3 and 4 shown below.Match each model A, B, C, D with its new position 1, 2, 3, 4.A→ ————— B→ ————— C→ ————— D→ ————— A=3, B=1, C=2, D=4 A=2, B=1, C=3, D=4 A=3, B=4, C=2, D=1 A=1, B=2, C=3, D=4 A=4, B=1, C=3, D=2 None 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.1. Here is a sequence of shapes made with grey and white tiles.i) How many grey tiles will there be in Shape Number 20 ? 23 20 24 22 26 None ii) How many white tiles will there be in Shape Number 36? 62 75 72 65 77 None iii) How many tiles will there be altogether in Shape Number 25? 72 77 75 67 62 None iv) Fill in the missing numbers in this sentence: To find the total number of tiles, you can multiply the Shape Number by ______ then add _______ 3,2 2,3 3,1 1,2 3,4 None 2. a) The difference between 1/3 of a certain number and ¼ of the same number is 3. What is the number? 3 \[\frac{1}{4}\] 36 30 24 None 2.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. 69995 59999 59856 59995 50005 None 2.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? 54 25 50 55 52 None 3. Each of the following statements is false! In each statement, at least one zero has been missed out. Adapt each statement by inserting the smallest possible number of zeros to make it true. i) 52 + 41 = 543 –———— + –———— = –———— 500+41=543 500+43=543 499+44=543 502+41=543 498+45=543 None ii) 163 + 71 = 1764 –———— + –———— = –———— 1063+701=1764 1000+764=1764 1064+700=1764 999+765=1764 none of the above None iii) 126 + 234 = 144 –———— + –———— = –———— 1240+200=1440 1200+240=1440 1199+241=1440 1100+340=1440 1206+234=1440 None iv) 1 - 499 = 51 –———— - –———— = –———— 999-498=501 1000-499=501 1001-500=501 1010-509=501 both a&b None v) 32 - 114 = 1898 –———— - –———— = –———— 2998-1100=1898 3000-1102=1898 3004-1106=1898 3002-1104=1898 2999-1101=1898 None 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? 3400 3440 3444 3333 3044 None 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? 24 72 36 48 6 None 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? 56 16 64 32 40 None 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)? 62\[cm^{2}\] 72cm 64\[cm^{2}\] 74 \[cm^{2}\] 72 \[cm^{2}\] None 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? £ 14.7 £ 1.47 £ 14 £ 15 £ 18 None 7. b) Each letter stands for a different number. The totals for each row and column are shown.What is the value of each letter? A = ————— B = ————— C = ————— D = ————— A=9.5, B=2.5, C=3.5, D=6.5 A=9.5, B=3.5, C=2.5, D=6.5 A=9.5, B=2.5, C=3.8, D=6.5 None Time's up
