Write down all the figures on your calculator display. Put brackets in each expression so that each statement is true

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1 1. (a) Use your calculator to work out 2 ( ) 1.25 Write down all the figures on your calculator display. (b) Put brackets in each expression so that each statement is true (i) = (ii) = (Total 4 marks) 2. x = p q pq p = q = Calculate the value of x. Give your answer in standard form.. 3. In a survey, some families were asked to name their favourite supermarket. Some of the results are shown in the diagram. Favourite Supermarkets for families TRESCO 20% SALISBURY 18% BROADWAY 9% MONTROSE 7% GATESHEAD 5% (a) Write as a fraction the percentage whose favourite supermarket was Montrose.... (1)

2 (b) Write as a decimal the percentage whose favourite supermarket was Salisbury.... (1) 200 families took part in the survey. (c) Work out the number of families whose favourite supermarket was Tresco.... (Total 4 marks) 4. (a) Use your calculator to work out ( ) Write down all the figures on your calculator display.... (b) Put brackets in the expression below so that its value is (1)

3 5. A school has 1200 pupils. 575 of these pupils are girls. 2 5 of the girls like sport. 3 5 of the boys like sport. Work out the total number of pupils in the school who like sport...

4 6. Amy bought 17 footballs for a total cost of James bought 11 footballs. The cost of each football bought by Amy and James was the same. Work out how much James paid for his 11 footballs. 7. (a) Use your calculator to work out (i) (ii)

5 (b) Use your calculator to work out the value of 3 ( ) Give your answer correct to 3 significant figures. (3) (Total 5 marks) 8. Wayne bought an engagement ring for Tracy. The total cost of the ring was 420 plus VAT at %. (a) Work out the cost of the ring.

6 Wayne invited 96 people to an engagement party. Only 60 of the people invited came to the party. (b) Express 60 as a percentage of 96. % (Total 4 marks) 9. The scatter graph shows information about 12 countries. For each country, it shows the percentage of the population in farming jobs and the percentage of the population living in towns Percentage living in towns Percentage in farming jobs (a) Describe the relationship between the percentage of the population in farming jobs and the percentage of the population living in towns. (1)

7 (b) Draw the line of best fit on the scatter graph. (1) In Mathsland, the percentage of the population in farming jobs is 35%. (c) Use your line of best fit to estimate the percentage of Mathsland s population living in towns.. % (1) 10. Henry invests 4500 at a compound interest rate of 5% per annum. At the end of n complete years the investment has grown to Find the value of n. 11. Martin cleaned his swimming pool. He hired a cleaning machine to do this job. The cost of hiring the cleaning machine was for the first day, then for each extra day. Martin s total cost of hiring the machine was (a) For how many days did Martin hire the machine? Martin had to buy some cleaning materials.... days (3)

8 The cost of the cleaning materials was plus VAT at %. (b) Work out the total cost of the cleaning materials.... Martin filled the pool with gallons of water. He paid 2.38 for each 1000 gallons of water. (c) Work out the total amount he paid for gallons of water.... (Total 7 marks)

9 12. (a) Write these five fractions in order of size. Start with the smallest fraction (b) Write these numbers in order of size. Start with the smallest number. 65% (Total 4 marks)

10 13. Fred went on holiday to France. He changed 475 to Euros. 1 = 1.57 Euros. (a) Change 475 to Euros.... Euros In France, Fred went to a festival. There were 650 people at the festival. 16% of the people at the festival were British. (b) Work out 16% of (Total 4 marks)

11 14. The cost of 4 kg of apples is 3.36 The total cost of 3 kg of apples and 2.5 kg of pears is 4.12 Work out the cost of 1 kg of pears. Give your answer in pence.... p 15. Mary s floor is a rectangle 8 m long and 5 m wide. She wants to cover the floor completely with carpet tiles. Each carpet tile is square with sides of length 50 cm. Each carpet tile costs 4.19 Work out the cost of covering Mary s floor completely with carpet tiles....

12 16. Number of girls Number of boys Year Year The table gives information about Year 10 and Year 11 at Mathstown School. (a) Work out the percentage of students in Year 10 who are girls.... % Mathstown School had an end of term party. 40% of the students in Year 10 and 70% of the students in Year 11 went to the party. (b) Work out the percentage of all students in Years 10 and 11 who went to the party.... % (3) (Total 5 marks) 17. Use your calculator to work out the value of 5 cos 23 sin Write down all the figures on your calculator display...

13 18. The equation x 3 + 2x = 156 has a solution between 5 and 5.5. Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show ALL your working. x =. 19. Work out ( ) ( ) Give your answer in standard form...

14 20. For each journey a taxi firm charges 2.60 for the first mile of the journey and 1.52 for each extra mile. (a) Work out how much the taxi firm charges for an 18 mile journey.. The taxi firm charged Helen for a journey from the airport to her home. (b) Work out the number of miles between the airport and Helen s home. (Total 4 marks) 21. A table tennis club has 180 members. 117 of the members are adults and the rest are children. (a) What percentage of the club s members are adults?.% The ratio of the number of right-handed members to the number of left-handed members is 11 : 1. (b) How many of the 180 members are right-handed?. (Total 4 marks) 22. (a) Find the positive square root of (1)

15 (b) Write these numbers in order of size. Start with the smallest number % A can of drink costs 32p. The cost of the can of drink is increased to 38p. Jenny calculates that this is a percentage increase of 19%. Is Jenny s percentage correct? You must show how you reached your decision. 24. Derek, Erica and Fred share 108 in the ratio 3:4:2 Calculate the amount of money Erica gets.

16 25. (a) Find the value of (1) The table shows some numbers Two of the numbers are prime numbers. (b) Put a tick ( ) underneath each of these two numbers. 26. Work out the simple interest on 530 at 4.5% per annum after 3 years.

17 27. Work out the value of (i) Write down all the figures on your calculator display. (ii) Write your answer to (i) correct to 1 significant figure. 28. Mr Holland uses 367 units of electricity in one month. He pays 5.84p for each unit of electricity. Mr Holland also pays a fixed charge of 6.14 for the month. Work out the total amount he pays.

18 29. Verity and Jean share 126 in the ratio 5 : 3 Work out how much money Verity receives. 30. (a) Use your calculator to work out ( ) Write down all the figures on your calculator display.... (b) Put brackets in the expression below so that its value is (1) 31. Find the simple interest on 3500 invested for 3 years at 4% per year...

19 32. Find the highest common factor of 36 and Simplify the ratio 12 : 16 (Total 1 mark) 34. Work out the value of

20 35. The equation x 3 x = 20 has a solution between 2 and 3 Use a trial and improvement method to find this solution. Give your solution correct to 1 decimal place. You must show ALL your working. x =. (Total 4 marks) 36. Here are six numbers 75% % 3 8 Two of the numbers are not equal to 4 3 Draw a circle around each of the two numbers.

21 37. The normal cost of a coat is 94 In a sale the cost of the coat is reduced by 36% Work out 36% of Find the value of the square root of (Total 1 mark) 39. Mrs. Jones shared 375 between her two children in the ratio 1 : 6 She gave the bigger share to Matthew. Work out how much money she gave to Matthew.

22 40. The radius of a circle is 3.60 m. Work out the area of the circle. Give your answer correct to 3 significant figures m Diagram NOT accurately drawn...

23 41. The equation x 3 15x = 31 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer correct to one decimal place. You must show ALL your working. x =. (Total 4 marks)

24 42. Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is Work out the sale price of the dress There are 40 chocolates in a box. 12 chocolates are plain chocolates. The remaining chocolates are milk chocolates. (a) Work out the ratio of the number of plain chocolates to the number of milk chocolates in the box. Give your ratio in its simplest form.... Some plain chocolates are added to the box so that the ratio of the number of plain chocolates to the number of milk chocolates is 1 : 2 (b) Work out how many plain chocolates are added to the box.... (Total 4 marks)

25 44. 4 m Diagram NOT accurately drawn The radius of a circle is 4 m. Work out the area of the circle. Give your answer correct to 3 significant figures.... m Use your calculator to work out the value of sin 47 Give your answer correct to 3 significant figures....

26 46. William s salary is His salary increases by 4%. Work out William s new salary Use your calculator to work out the value of Write down all the figures on your calculator display....