ENTRANCE AND SCHOLARSHIP EXAMINATION 2012 MATHEMATICS 1 HOUR CALCULATORS NOT ALLOWED CANDIDATE NAME Instructions to Candidates: 1. Write your name on the line above. 2. Attempt to answer all questions in the spaces provided in this book. 3. Work steadily through the paper. 4. Do not spend too long on one question. 5. Show all stages in any calculation. 6. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. Page 1
Q1. (a) Write three pounds fifty pence in figures.... (b) Write three pounds five pence in figures.... (c) Write three thousand five hundred and ten pounds in figures.... (Total 3 marks) Page 2
Q2. There are only red, yellow, orange and green sweets in a bag. Peter recorded the colour of each sweet in the bag. The bar chart shows some information about his results. 8 sweets were orange. 5 sweets were green. (a) Complete the bar chart. (2) (b) Write down the number of red sweets.... (c) What colour sweet is the mode?... (d) Work out the total number of sweets in the bag.... (Total 5 marks) Page 3
Q3. The pictogram shows the numbers of hours of sunshine in London on Monday, Tuesday and Wednesday of one week. Monday Tuesday Wednesday Key: represents 2 hours Thursday Friday (a) Work out the number of hours of sunshine on Monday.... (b) Work out the number of hours of sunshine on Tuesday.... There were 6 hours of sunshine on Thursday. There were 5 hours of sunshine on Friday. (c) Use this information to complete the pictogram. (2) (Total 4 marks) Page 4
Q4. Diagram NOT accurately drawn Here is a picture of a stick. The stick is in three parts, A, B and C. The total length of the stick is 30 cm. The length of part A is 16 cm. The length of part B is 9 cm. Work out the length of part C.... cm Q5. (a) Work out 50% of 60 Ј... (b) Work out 25% of 20 metres.... metres Page 5
Q6. The diagram shows a shaded shape drawn on a centimetre grid. (a) Work out the perimeter of the shaded shape.... cm (b) Work out the area of the shaded shape. State the units of your answer.... (2) Here is a solid prism made of centimetre cubes. Diagrams NOT accurately drawn (c) Find the volume of the solid prism.... cm 3 (2) (Total 5 marks) Page 6
Q7. (a) (i) Work out the size of the angle marked p. Diagram NOT accurately drawn... (ii) Give a reason for your answer.... (2) (b) Work out the size of the angle marked q. Diagram NOT accurately drawn... (Total 3 marks) Page 7
Q8. Alan bought 20 melons for 15. of the melons were bad so he threw them away. He sold the remaining melons for 1.50 each. Work out Alan s profit.... (Total 4 marks) Q9. Here is a list of ingredients for making 8 cheese scones. Ingredients for 8 cheese scones 200 g self-raising flour 60 g butter 30 g cheese 150 ml milk Work out the amount of each ingredient needed to make 12 cheese scones.... g self-raising flour... g butter... g cheese... ml milk (Total 3 marks) Page 8
Q10. (a) Work out 400 193.... (2) (b) Work out 4 9.... (c) Work out 3 5.... (d) Work out 300 50.... (Total 5 marks) Q11. Page 9
18 42 9 3 12 6 81 11 30 From the numbers in the rectangle, (i) write down a multiple of 4,... (ii) write down a factor of 21,... (iii) write down a prime number.... (Total 3 marks) Q12. Here is a table for a two-stage number machine. The machine multiplies by 2 and then subtracts 3. Complete the table. Input Output 2 1 4 5 10...... 27 (Total 3 marks) Q13. Page 10
The diagram shows the speed of a car. (a) Write down the speed of the car.... miles per hour The scale below shows the amount of fuel in a tank. (b) Write down the amount of fuel in the tank.... gallons When the tank is full, there are 7 gallons of fuel in the tank. (c) Work out how much more fuel has to be added to the tank to fill it completely.... gallons (Total 3 marks) Page 11
Q14. (a) Write down the coordinates of the point P. (...,...) (b) Write down the coordinates of the point Q. (...,...) M is the middle point of the line from Q to P. (c) Find the coordinates of M. (...,...) (2) (Total 4 marks) Page 12
Q15. City Temperature Cardiff 2 C Edinburgh 4 C Leeds 2 C London 1 C Plymouth 5 C The table gives information about the temperatures at midnight in 5 cities. (a) Write down the lowest temperature.... C (b) Work out the difference in temperature between Cardiff and Plymouth.... C (c) Work out the temperature which is halfway between 1 C and 5 C.... C (Total 3 marks) Page 13
Q16. 36 students each went to one revision class. of the students went to the physics revision class. of the students went to the biology revision class. All of the other students went to the chemistry revision class. How many students went to the chemistry revision class?... (Total 3 marks) Q17. (a) Shade one more square to make a pattern with 1 line of symmetry. Page 14
(b) Shade one more square to make a pattern with rotational symmetry of order 2 Q18. Mary scored 14 out of 20 in a test. Find 14 out of 20 as a percentage.... % Q19. There are 40 litres of water in a barrel. Page 15
The water flows out of the barrel at a rate of 125 millilitres per second. 1 litre = 1000 millilitres. Work out the time it takes for the barrel to empty completely.... seconds (Total 3 marks) Q20. The first even number is 2. (a) Write down the 3rd even number.... Here are some patterns made from sticks. (b) Complete Pattern number 4. Page 16
(c) Complete the table. Pattern number 1 2 3 4 5 Number of sticks 3 6 9 (2) Jenny wants to find the number of sticks in Pattern number 100. (d) Write down a method she could use....... (Total 5 marks) Q21. The diagram shows a 3-sided spinner and an ordinary dice. The spinner has 1 green side, 1 blue side and 1 red side. Alex spins the spinner once and rolls the dice once. Write down all the possible outcomes. One has already been done for you. (g, 1)......... Page 17
Q22. The length of a line is 63 centimetres, correct to the nearest centimetre. (a) Write down the least possible length of the line.... centimetres (b) Write down the greatest possible length of the line.... centimetres Q23. Work out 36 24... (Total 3 marks) Page 18
Q24. Cinema tickets Adult ticket: 8.65 Child ticket: 4.90 Senior ticket: 5.85 Tony buys one child ticket and one senior ticket. (a) Work out the total cost.... Stephanie buys adult tickets only. The total cost is 60.55 (b) How many adult tickets does she buy?... (2) Kamala buys one adult ticket and two child tickets. She pays with a 20 note. (c) How much change should she get?... (3) (Total 6 marks) Page 19
Q25. (a) Write down the fraction of this shape that is shaded. Give your fraction in its simplest form.... (2) (b) Shade of this shape. (c) Write as a decimal.... (d) Write 0.39 as a fraction.... (Total 5 marks) Page 20
Q26. Use the information that 322 48 = 15 456 to find the value of (a) 3.22 4.8... (b) 0.322 0.48... (c) 15 456 4.8... (Total 3 marks) Q27. Anneliese has six times as much squash as Brian. Connor has twice as much squash as Brian. Anneliese has how many times as much squash as Connor?.. Page 21
Q28. On Monday last week, Debbie started to learn a new language. Every day she learnt five new words, but when she woke every morning she had forgotten two of the words learnt the day before. On what day did Debbie first achieve her target of learning fourteen words?. Q29. In the subtraction on the right a, b and c are digits, and a is less than b. What is the value of c? b a - a b c 6.. Q30. A, B and C are three whole numbers. When they are multiplied together the answer is 36. When they are added together the answer is 1. What are these three numbers?.. Page 22
Q31. Ella has a collection of coins. She has more than 24 coins in her collection. When she puts the coins in piles of 6, there are 3 left over. When she puts the coins in piles of 8, there are 7 left over. When she puts the coins in piles of 24, how many will be left over?.. Q32. The diagram shows a square that has been divided into five identical rectangles. The perimeter of each rectangle is 51cm. What is the perimeter of the square? END OF TEST.. Page 23