The Kings School Chester Entrance Examination Mathematics Sample Paper 2 Online Quiz view all papers Welcome to your THE KING'S SCHOOL CHESTER 11+ ENTRANCE EXAMINATION MATHEMATICS Sample Paper 21. Circle all numbers that are bigger than 0.45 0.5 0.6 0.4 0.08 0.404 0.5,0.6 0.4,0.5 0.404,0.08 0.6,0.08 0.5,0.6,0.4 None 2. Over the Christmas holidays this year the maximum temperature at a teacher’s house was 7.20 degrees Celsius. The temperature has now fallen by 3.15 degrees, what is the temperature? Answer: %BLANK% 4.05 4.15 4.5 4 None of the Above None 3. Calculate the following showing your working out clearly. (a) 11.36 + 3.40 Answer: 14.76 11.76 15.76 13.76 16.76 None (b) 3.54 – 2.34 Answer: 1.2 1.5 1.3 2.2 1.4 None (c) 213 x 17 Answer: 3621 3511 3611 3521 None of the Above None (d) 844 x 0.25 Answer: 211 121 311 411 None of the Above None 4. (a) Divide 911 by 6 giving your answer and the remainder.Remainder ———— Answer: 151 & remainder 5 131 remainder 7 155 remainder 3 161 remainder 4 None of the Above None (b) Write one number that fits all three of these statements. Answer: 12 16 18 20 8 None 5. (a) Round 4.2 to the nearest whole number. Answer: 4 3 2 5 6 None (b) Round 37456 to the nearest hundred. Answer: 37500 37000 37400 37550 37600 None 6. Here are four number cards (a) Use all four number cards to make this sum correct. ———— ———— + ———— ———— =100 68 + 32 38 + 62 23 + 68 63 + 28 Both a & b None (b) Write any numbers in the next boxes so that the calculation below is true. 7 x ———— = ———— -7 1 & 14 2 & 21 3 & 28 4 & 35 All of the Above None 7. Write these fractions in order of size from smallest to the largest. \[\frac{5}{8}\] \[\frac{2}{3}\] \[\frac{1}{2}\] \[\frac{7}{12}\] \[\frac{17}{24}\]Smallest ——— ——— ——— Largest ——— \[\frac{1}{2}\] \[\frac{7}{12}\] \[\frac{5}{8}\] \[\frac{17}{24}\] \[\frac{1}{2}\] \[\frac{2}{3}\] \[\frac{5}{8}\] \[\frac{17}{12}\] \[\frac{1}{2}\] \[\frac{7}{12}\] \[\frac{21}{3}\] \[\frac{5}{8}\] \[\frac{17}{2}\] \[\frac{7}{24}\] \[\frac{5}{7}\] \[\frac{17}{24}\] \[\frac{1}{21}\] \[\frac{7}{9}\] \[\frac{5}{16}\] \[\frac{17}{24}\] None 8. (a) Write down the next two terms of this sequence of numbers. 2 8 14 20 ..... ..... Answer: 26, 32 24, 30 25, 31 27, 33 None of the Above None (b) What is the 50th term of this sequence of numbers? 6 11 16 21 26 Answer: 251 151 350 261 250 None (c) Here is another number sequence. 90 99 108 117 126 135 Circle all the following numbers that would be in this number sequence. 200 2007 163 918 45 2007, 918 2007163 163200 918, 163 200, 45 None 9. (a) At a supermarket 3 kilograms of apples costs £12. How much does 18 kilograms of apples cost? Answer: £72 £36 £54 £84 £96 None (b) At the same supermarket 10 kilograms of oranges costs £14. How much does 4 kilograms of oranges cost? Answer: £5.60 £2.85 £4.60 £3.80 £2.60 None (c) 3 fully open taps fill up a bath in 60 seconds. How long will 2 fully open taps take to fill up the same bath? Answer: 90seconds 180seconds 120seconds 80seconds None of the Above None 10. Phil holds a bag containing 16 blue sweets and 4 red sweets. (a)What percentage of sweets in this bag are red? Answer: 20.00% 30.00% 25.00% 15.00% 10.00% None Phil now eats 4 of the blue sweets.(b)What fraction of the sweets in the bag are now blue? Answer: \[\frac{3}{4}\] \[\frac{1}{3}\] \[\frac{1}{4}\] \[\frac{1}{2}\] \[\frac{2}{3}\] None 11. One Aardvark weighs the same as 20 Squirrels. One Tapir weighs the same as 4 Aardvarks. How many Squirrels weigh the same as 3 Tapirs? Answer: 240 140 340 440 280 None 12. Rose is making a lemon cake. Part of the recipe for the cake mix is below. The rest of the cake mix is made from other ingredients. If there are 900 grams of cake mix (a) How many grams of sugar are there? Answer:———— g 225g 125g 325g 250g 255g None (b) How many grams of ingredients other than lemons, flour and sugar are there? Answer: ———— g 150g 100g 250g 120g 180g None 13. Work out the value of the angle labelled x in the diagram below. The diagram is not drawn to scale. Answer: \[80^{o}\] \[70^{o}\] \[50^{o}\] \[60^{o}\] \[40^{o}\] None 14. This chart shows the times when 5 children were visiting Chester Zoo one afternoon. (a) Who arrives the earliest out of the 5 children?Answer Gillian Alexander Aaron Gwen Riahnon None (b) Who spent the shortest time at the zoo? Answer: Alexander Gillian Aaron Gwen Riahnon None 15. A group of five Removes pupils were asked to give the film ‘Toy Story 3’ a mark out of 10. The marks they gave were as follows 10 8 10 10 7 (a) If I pick one of the pupils at random. What is the probability that they have given the film a score of 10? Give your answer as a fraction. Answer: \[\frac{3}{5}\] \[\frac{1}{5}\] \[\frac{2}{5}\] \[\frac{1}{3}\] \[\frac{1}{6}\] None (b) What is the mean average score out of 10 for this group? Answer: 9 3 6 8 10 None 16. The graph below converts degrees Celsius to degrees Fahrenheit. Use the graph to complete the following sentences. (a) 74 degrees Celsius is the same as ........ degrees Fahrenheit. Answer: \[165^{o}\] F \[150^{o}\] F \[175^{o}\] F \[185^{o}\] F \[145^{o}\] F None (b) 120 degrees Fahrenheit is the same as ........ degrees Celsius. Answer: \[45^{o}\] C \[50^{o}\] C \[75^{o}\] C \[65^{o}\] C \[55^{o}\] C None 17. (a) Calculate the area of the following shape which is made from rectangles. The shape is not drawn to scale. Answer: 75\[units^{2}\] 358\[units^{2}\] 45\[units^{2}\] 55\[units^{2}\] 40\[units^{2}\] None (b) Calculate the perimeter (the length around the outside) of the following shape. Each small square is 1cm by 1cm. Answer: 28cm 22cm 25cm 27cm 20cm None 18. At ‘Canty’s Candy Shop’ the following prices are charged. (a) How much will 2 Mars bars cost? Answer: £1 £2 £3 £4 None of the Above None (b) How much will 3 Crunchie bars cost? Answer: £1.20 £2.20 £1.60 £1.50 £3.20 None 19. These are called nested squares. What fraction of this shape is shaded in? Answer: 11994 11749 12024 11933 None of the Above None Time's up
