Kent College Paper 2 by smoothmaths | Jul 1, 2020 | 0 comments Welcome to your Kent College Canterbury 11+ Entrance Examination1) Calculate and show all your working, a) 465 + 67 = Answer: 532 432 422 522 512 None b) 4177 – 1315 Answer 2862 3862 3462 2462 None of the Above None c) 67 × 7= Answer: 469 429 449 459 479 None d) 402 ÷ 6= Answer: 67 65 66 64 63 None e) £20 - £12.53 Answer: 7.47 7.97 7.57 8.47 8.97 None f) 41 × 63 = Answer: 2583 2483 2348 2358 2585 None 2) Write down the answer to each of the following. a) 201 × 10 ——–— 2010 2001 2000 2100 2011 None b) 700 ÷ 10 ——–— 70 60 80 7 None of the Above None c) 201 × 2000 ——–— 402000 40200 420000 4020 40020 None d) 52 000 ÷ 200 ——–— 260 250 240 270 280 None 3) Calculate 2943 ÷ 27. Show your working. 109 106 108 107 105 None 4) Work out a) 12+6 ÷ 3 Answer: 14 15 12 16 18 None b) 26-(19+4) Answer: 23 22 24 21 None of the Above None 5) a) Find \[\frac{1}{2}\] of 72 36 46 26 28 32 None b) Find \[\frac{3}{4}\] of 28 21 24 20 28 26 None c) Find \[\frac{3}{5}\] of 40 24 28 20 26 22 None 6) A balloon pump and three packs of balloons cost £9 altogether. A balloon pump and four packs of balloons cost £11 altogether. a) How much does a pack of balloons cost? 2 3 4 5 6 None b) How much does a balloon pump and eight packs of balloons cost? £19 £17 £15 £16 £14 None 7) Place the following sets of numbers in order, smallest first. a) 47 , 63 , 18 , 103 , 70 18, 47, 63, 70, 103 18, 63,70, 43, 103 18,43, 70, 63, 103 103, 70, 63, 47, 18 None of the Above None b) 0.731, 0.8, 0.73 , 0.711 0.711, 0.73, 0.731, 0.8 0.711, 0.731, 0.73, 0.8 0.73, 0.711, 0.731, 0.8 0.731,0.711, 0.73, 0.8 0.8, 0.731, 0.73, 0.711 None 8) a) What fraction of this shape is shaded? \[\frac{5}{16}\] \[\frac{5}{20}\] \[\frac{5}{18}\] \[\frac{5}{21}\] None of the Above None b) How much of this square is shaded? Write your answer as a decimal. 0.35 0.55 0.45 0.25 0.65 None 9) Fill in the gaps in the sequences. a) 7, 15, 23, 31, ——–— 39 38 37 36 40 None b) 42, 33, 24, %BLANK%, 6,——–— 15 &- 3 12 & -2 16 & -4 14 & -3 15 & 3 None 10) Write in the missing numbers. 12 - ——–— = - 1 13 14 12 11 none of the above None 5 × ——–— = 460 92 90 94 96 98 None 52 ÷ ——–—= 13 4 5 6 3 2 None \[\frac{2}{5}\] of ——–— = 12 30 20 40 50 60 None 11) a) Work out 50% of 58m 29 28 27 26 25 None b) Work out 75% of £24 £18 £17 £16 £15 £14 None c) Work out 10% of 130 13 12 14 15 11 None 12) A number line starts at –9 and finishes at 11 What number is \[\frac{2}{5}\] of the way along the number line? Show your working. -1 -2 0 1 2 None 13) A train leaves Carlisle station at 3.37pm and arrives in London at 6.48pm How long did the journey take? 3 hrs 11min 2 hrs 12min 4 hrs 5min 1 hr 2min None of the Above None 14) (a) Look at this information about recycling: Write the missing number in this sentence. 200 large plastic bottles can be recycled to make %BLANK% fleece jackets. 8fleece 7fleece 6fleece 5fleece 4fleece None (b) In a survey, 9 out of 10 people said they would like to recycle more. What percentage of people said they would like to recycle more? 90.00% 80.00% 70.00% 60.00% 50.00% None 15) The diagram shows four identical white rectangles around a shaded square. What is the area of the shaded square? 25\[cm^{2}\] 9\[cm^{2}\] 16\[cm^{2}\] 64\[cm^{2}\] 36\[cm^{2}\] None 16) I put square tiles on a large grid so that the tiles touch at the corners. The diagram shows part of my diagonal pattern. None (a) The bottom right-hand corner of tile 2 is marked with a ● Write the coordinates of this point. (2, 1) (1, 1) (2, 2) (2, 3) (3, 2) None (b) Tile 4 touches two other tiles. Write the coordinates of the points where tile 4 touches two other tiles. (3, 3)(4, 4) (1, 1)(2, 2) (2, 2)(3, 3) (2, 3)(3, 4) None of the Above None (c) Write the coordinates of the points where tile 17 touches two other tiles. (16,16)(17,17) (15,15)(16,16) (14,14)(15, 15) (17,17)(18,18) None of the Above None (d) I have 30 tiles to make a pattern on a grid. The pattern is a series of squares. I have used some of the 30 tiles to make my pattern. Do I have enough tiles left to make the next square, of side length 4? Show working to explain your answer. 16 10 12 14 15 None 17) Tom is making patterns with matches. a How many more matches will Tom need to make pattern 4? 4 2 3 1 5 None b) How many matches altogether will Tom need to make pattern 5? 20 14 16 12 10 None c) How many matches will Tom need to make pattern 12? 48 36 60 58 38 None d) Tom has a box containing 99 matches. What is the largest pattern number he can make? Show any working. 24 23 22 25 26 None 18) Mark is 3 years older than David. The sum of their ages is 89. How old is Mark? 46 43 44 45 47 None 19) Some people use this rule to work out how many hours’ sleep each night young children need. (a) Sanjay is 8 years old. Use the rule to work out how many hours’ sleep he needs. 11 hours 10 hours 12 hours 9 hours 8 hours None (b) Lisa is 6 years old. She wakes up every morning at 7am. Use the rule to work out what time she needs to go to sleep. 7pm 6 pm 8 pm 9 pm None of the Above None 20) Tariq wants to use four planks of wood to make the top of a table. Each plank of wood is 14 cm wide. He wants the table to be 65 cm wide with equal spaces between the planks of wood. How much space should he leave between each of the planks of wood? Show your working. 3cm 4cm 5cm 6cm 2cm None 22) One way to make a magic square is to substitute numbers into this algebra grid. a + ba-b+ca-ca-b-caa+b+ca + ca+b-ca-b None Here is the algebra grid again. a+ba-b+ca-ca-b-caa+b+ca+ca+b-ca-b I use different values for a, b and c to complete the magic square.2021731629251112What values for a, b and c did I use?a = ——–—b =——–—c =——–— a=25, b=4, c=9 a=24, b=3, c=8 a=26, b=5, c=10 a=23, b=2, c=7 a=22, b=4, c=8 None 23) In this subtraction, P, Q, R, S and T represent single digits. What is the value of P + Q + S + T? 20 21 18 16 19 None Time's up
