December S3 General Level Revision

8/8/2019 December S3 General Level Revision

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S3 General Level - Revision for December TestTopics or questions marked * must be attempted without a calculator.

*Whole Numbers and Decimals

1. 12 14 76 + 3 2. 68 22 6 3. 90 8 4 4. 315 7005. 7 + 4 8 6. (7 + 4) 8 7. 13 32 8. (13 3)2

*Scientific Notation (Standard Form)

1. Write these numbers in full:-(a) 3 14 10 4 (b) 5 10 3 (c) 5 10 3 (d) 2 7 10 1

2. Write these numbers in scientific notation:-(a) 4000000 (b) 83000 (c) 0 07 (d) 0 00019

*Integers

1. What temperature is 15 oC lower than 4 oC?2. What temperature is 27 oC higher than 9oC?3. 7 + 3 4. 4 + 9 5. 2 + 5 6. 6 + 4 7. 3 88. 4 2 9. 5 1 10. 9 2 11. 3 2 12. 5 2

13. 6 3 14. 42 6 15. 18 2 16. 24 8 17. ( 5) 2

Fractions and Percentages

*1. Simplify these fractions (a) 10 / 18 (b) 11 / 44 (c) 18 / 45*2. Find:- (a) 1 / 3 of 2 40 (b) 3 / 4 of 1400 (c) 4 / 9 of 207*3. Find:- (a) 60% of 75 (b) 5% of 90kg

*4. A television normally costs 320. How much does it cost in a salewhen there is a 15% discount?

5. 8% of the 750 pupils in a school are absent.How many pupils are absent?

6. There are 18 girls in a class of 30 pupils.What percentage of the class are girls?

*7. In another class there 8 girls and 12 boys.What percentage of this class are girls?


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8. Ann earns 160 per week. She gets an increase of 12 per week.

What percentage increase is this?

Spending Money

*1. A television can be bought on hire purchase by paying a depositof 49 followed by 12 payments of 35.Find the total hire purchase price of the television.

*2. The cash price of a car is 15000.It can be bought on hire purchase by paying a deposit of 10% of the cash price followed by 36 payments of 400.Find the total hire purchase price of the car.

*3. A gas cooker can be bought on hire purchase by paying a depositof 65 followed by 6 equal payments.The total hire purchase price of the cooker is 359.How much is each payment?

4. Find the total price of a carpet 5m long and 4m wide whichis priced at 12 per m 2 plus VAT at 17%.

5. The diagram below shows an electricity bill.(a) How many units of electricity have been used?(b) Calculate the total amount due.

Units ChargesPresent Reading:- 19485 ? units @ 13 2p per unit = Previous Reading:- 18317 Standing charge = 8 50

Units used:- ? sub total = VAT (8%) =

Amount due =

*6. Jamie is in New York. He changes 400 into dollars.The exchange rate is 1 = $1 58. How many dollars did he receive?

7. A pair of shoes cost 50 euros in a store in Paris.The exchange rate is 1 = 1 14.How much did the shoes cost in pounds and pence?


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Earning Money

1. Maggies annual salary is 19500. (a) Find her monthly salary.

(b) Find her weekly pay.

2. Joes basic rate of pay is 7 40 per hour.How much is he paid for working(a) 5 hours overtime at double time(b) 7 hours overtime at time and a half?

*3. Amy is paid 8 per hour for a basic 30 hour week.One week she works 33 hours.Overtime is paid at time and a half.Find her gross pay for the week.

4. A double glazing salesman is paid 300 per month plus5% commission on all his sales. How much is he paid altogetherin a month when his sales are worth 10800?

Saving Money

1. Brian invests 1400 in a bank account which pays 3% interestper annum. How much simple interest will he receive after

(a) 1 year (b) 1 month (c) 5 months?

2. Lucy invests 1350 in a bank account which pays 2 8% interestper annum.How much simple interest will she receive after 8 months?

*Expressions and Brackets

1. Simplify(a) 9m+2n 3m+5n (b) 12a+11b 2a5b (c) 10r+t 3r+2t

2. Multiply out the brackets(a) 2(x+3) (b) 4(x 2) (c) 5(3m+2n) (d) 3(7p 4)

3. Multiply out the brackets and simplify(a) 4(3x+5) 7x (b) 10+2(5y 3) (c) 7t+3(5 2t)


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*Equations

Solve the following equations:-1. 3p + 4 = 19 2. 2y 7 = 19

3. 9x + 2 = 5x + 26 4. 7a 8 = a + 22

Distance, Speed and Time

1. How long does it take to travel 180 miles at an average speedof 36mph?

*2. How far can an athlete run in 50 seconds at an average speedof 8 metres per second?

*3. A cyclist travels 138km in 6 hours.What is her average speed for the journey?

4. A bus travels at an average speed of 46km/h.How far will it travel between 0940 and 1310?

5. A train travels 500km at an average speed of 80km/h.How long (in hours and minutes) does the journey take?

6. A motorcyclist leaves home at 1450 and reaches his destination80 miles away at 1605.Calculate his average speed for the journey.

Pythagoras Theorem

1. Calculate the values of a, b, c and d correct to 1 decimal placein the right angled triangles below.

67 d7 a 5

94 7 8 3b 3 9

10 c


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2. Calculate the value of x correct to 1 decimal place.x

16 19

10

3. The diagram below shows the end of a building. The end issymmetrical. Calculate the value of s, the length of the slopingedge of the roof. Give your answer correct to 1 decimal place.

... s

7m 5m

12m


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Answers

Whole Numbers and Decimals1. 7 54 2. 11 37 3. 756 4. 0 45 5. 39

6. 88 7. 4 8. 100

Scientific Notation(Standard Form)1.(a) 31400 (b) 5000 (c) 0 005 (d) 0 272.(a) 410 6 (b) 8 3104 (c) 710 2 (d) 1 910 4

Integers1. 11oC 2. 18 oC 3. 4 4. 5 5. 3 6. 27. 5 8. 6 9. 6 10. 7 11. 6 12. 1013. 18 14. 7 15. 9 16. 3 17. 25

Fractions and Percentages1.(a) 5 / 9 (b) 1 / 4 (c) 2 / 5 2.(a) 0 80 (b) 1050 (c) 923.(a) 45 (b) 4 5kg 4. 272 5. 60 6. 60%7. 40% 8. 7 5%

Spending Money1. 469 2. 15900 3. 49 4. 282

5.(a) 1168 (b) 175 69 6. $632 7. 43 86Earning Money1.(a) 1625 (b) 375 2.(a) 74 (b) 77 70 3. 576 4. 840

Saving Money1.(a) 42 (b) 3 50 (c) 17 50 2. 25 20

Expressions and Brackets1.(a) 6m + 7n (b) 10a + 6b (c) 7r + 3t2. (a) 2x + 6 (b) 4x 8 (c) 15m + 10n (d) 21p 123.(a) 5x + 20 (b) 10y + 4 (c) t + 15

Equations1. p = 5 2. y = 13 3. x = 6 4. a = 5

Distance, Speed and Time1. 5 hours 2. 400m 3. 3km/h 4. 161km 5. 6h15m 6. 64mph

Pythagoras Theorem1. a = 12 2 b = 8 4 c = 6 3 d = 7 3 2. 10 4 3. 6 3


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December S3 General Level Revision