Kent College paper 1 by smoothmaths | Jun 30, 2020 | 0 comments Welcome to your Kent College paper 11+ Mathematics Sample Paper 1. Find the value of (a) 289 + 134 423 413 323 313 433 None (b) 4716 - 1825 2891 3891 2891 2911 2811 None (c) 35 x 29 1015 975 915 985 None of the Above None (d) 52.7 + 8.54 - 5.3 55.94 54.5 56.5 54.94 53.96 None 2. Work out (a) 571 x 100 57100 5710 57001 571000 57111 None (b) 3.61 x 10 36.1 36.21 3.61 36 None of the Above None (c) 27 ÷ 1000 0.027 0.27 0.0027 0.00027 None of the Above None 3. Angela caught a train at 7.30 in the morning and arrived at Newcastle at 1.42 in the afternoon. How long did her journey take? 6h12m 4h15m 5h10m 7h10m 5h12m None 4. (a) Find the volume of a cuboid with length 8 cm, width 5 cm and height 6 cm. 240\[cm^{3}\] 200\[cm^{3}\] 288\[cm^{3}\] 24\[cm^{3}\] 250\[cm^{3}\] None (b) Find the volume of this shape. 24\[cm^{3}\] 20\[cm^{3}\] 28\[cm^{3}\] 22\[cm^{3}\] 25\[cm^{3}\] None 5. (a) Mary goes to the school fair. She pays to get in. She visits 3 side shows and she has a cream tea. How much does Mary spend altogether? £3.70 £4.50 £4.60 £3.50 None of the Above None (b) Anna has £5 to spend at the school fair. She must pay to get in. How many times can she visit a side show if she has a cream tea as well? 7 6 5 4 8 None 6. Accurately measure the angles below with a protractora) 40 60 30 50 45 None (b) 120 100 110 150 115 None 7. Find \[\frac{2}{5}\] of 30 12 16 18 15 9 None 8. Work out 694 x 27. Show all your working. 18738 18118 18083 17738 17118 None 9. What percentage of this shape is shaded? 60.00% 70.00% 50.00% 40.00% 80.00% None 10. Find the perimeter of this rectangle: 12.9m 9.3m 10.3m 6.45m 8.9m None 11. Find the missing angles by calculation. The diagrams are not to scale:(a) 46 56 44 66 45 None (b) 65 46 44 56 45 None (c) 60 45 65 56 55 None 12. This is a drawing of a boy in his bedroom. (a) Estimate the length of the real bed. 1.80m 2.70m 16.2m 18m None of the Above None (b) Estimate the length of the real room. 4.20m 5.30m 3.60m 1.80m None of the Above None 13. Write down the fifth term of this sequence. 6,9,12,15, . . . . . . . . . . . 18 20 16 15 19 None 14. An orange drink is made by mixing water with concentrated orange juice. \[\frac{3}{4}\] of the orange drink is water. How many litres of water will be in 12 litres of orange drink? 9liters 16liters 8liters 12liters None of the Above None 15. Look at the numbers in the cloud: Write down any of these numbers which are: (a) even 8 12 14 20 All of the Above None (b) multiples of 5 20 35 12 17 Both a & b None (c) factors of 24 3, 8, 12 14,8,3 12, 3 3, 8, 20 None of the Above None (d) prime numbers? 3 17 27 35 Both a & b None 16. Here is part of a railway timetable London King's Cross 10 30 11 30 12 35 13 25 14 30 Peterborough 11 24 12 35 13 27 14 15 15 45 Newcastle 13 36 14 58 15 39 17 05 17 30 (a) How long does it take the 10 30 from London to reach Peterborough? 54min 34min 44min 50min 45min None (b) If you set off from home on the 11.30 train from King’s Cross and travelled to Newcastle before taking another 1 hour and 38 minutes to finish your jorney home at what time would you arrive home? 16:38 16:40 16:20 16:50 15:50 None 17. Pupils estimate their heights as 5m 120cm 50mm 8 feet Which of these do you think might be correct? 120cm 5m 50mm 8feet None of the Above None 18. There are 3 tables in a room. There are 3 bars of chocolate on each table. None (a) Nine people sit at one table. They share the chocolate equally. What fraction of a bar do they each have? \[\frac{1}{3}\] \[\frac{1}{4}\] \[\frac{2}{9}\] \[\frac{1}{9}\] \[\frac{5}{9}\] None (b) Four people sit at another table. They share the chocolate equally. What fraction of a bar do they each have? \[\frac{3}{4}\] \[\frac{1}{4}\] \[\frac{1}{2}\] \[\frac{2}{3}\] \[\frac{3}{2}\] None (c) In another room there are two tables. There are four bars of chocolate on one table. Twelve people sit at the table with four bars. There are five on the other. Some other people sit at the table with five bars. At each table they share the chocolate equally. Everyone in the room has the same fraction of a bar. How many people sit at the table with five bars? Show your working. 15 12 16 14 10 None 19. Pembury Youth centre held a Judo club on Tuesday evenings. At the beginning of the year the children’s heights were recorded on a chart. (The last 6 names are the girls names.) Complete the chart for the four missing children using the information below. 1. Tina is the same height as Mark. 2. Faye is 20cm shorter than the tallest boy. 3. If Barry grew another 1 cm he would be the same height as the tallest girl. 4. Steven is 20cm taller than the shortest boy. Now answer the following questions. None (a) What is the difference in height between the shortest member of the club and the tallest member? 33cm 30cm 36cm 34cm 28cm None (b) Calculate the average height of the girls. 126cm 122cm 120cm 133cm 132cm None (c) Which girl is closest to the girls’ average height? Faye Paul Mark Andrew Steven None (d) How tall is the shortest boy? 122cm 120cm 133cm 126cm 110cm None 20. A teacher has 5 bags of marbles. Each bag has n marbles inside. She asks : ' How many marbles are there all together? The pupils say : There are 88 marbles altogether. Fill in one pupil’s right answer to help you complete the equation. ----------= 88 3+5n 3-5n 5+3n 2+4n None of the above None Solve the equation to find n, the the number of marbles in a bag. 17 12 20 21 27 None 21. At a party we ordered 4 sausage rolls at 24 pence each, 5 hotdogs at 81p each and 7 drinks at 20 pence each. What is the total cost ? £6.41 £5.01 £5.45 £6.01 £6.54 None 22. A number of shapes have been made with matches. For this pattern: None Write down in words the rule to go from one shape to the next. add one square at left bottom & add one at top with matches add one square at right bottom & add one at top left with matches add one square at left & add one at top with matches None of the Above None 23. (a) Find the area of this shape. 39\[cm^{2}\] 19\[cm^{2}\] 49\[cm^{2}\] 29\[cm^{2}\] 9\[cm^{2}\] None (b) Find the perimeter of the shape. 36cm 30cm 32cm 28cm None of the Above None 24. My calculator is broken. The only buttons that work are these. Which sequence of buttons will enable me to get an answer of 11 on the screen of my calculator? If you have time, try to find some more ways to get 11. -4 x 7 47 - 7 x 4 -4 -4 27 - 4 x 4 All of the Above None Time's up
