Chap 1-5 EMA ALNAR
6.1 3.4
1. Work out the value of
5.7 1.9
...............................
(Total 2 marks)
2. Work out 2 2 7
5 u1 8
Give your answer as a mixed number in its simplest form.
...............................
(Total 3 marks)
3. (a) Express 200 as the product of its prime factors.
...............................
(2)
(b) Work out the Lowest Common Multiple of 75 and 200.
...............................
(2)
(c) A = 23 34 516
B = 25 3 712
Find the Highest Common Factor of A and B.
....................................
(3)
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Chap 1-5 EMA ALNAR
6 3
4. (a) Show that 4 =
7 14
(2)
2 2 11
(b) Show that 3 1 = 1
5 3 15
(3)
5.
1 euro = 0.72
1 = 221 Sri Lankan rupees
Change 50 euros to Sri Lankan rupees.
............................ Sri Lankan rupees
(Total 2 marks)
2
Chap 1-5 EMA ALNAR
6. Krishnan used 611 units of electricity.
The first 182 units cost 0.0821 per unit.
The remaining units cost 0.0704 per unit.
Tax is added at 5% of the total amount.
Complete Krishnans bill.
182 units at 0.0821 per unit ..............................
...... units at 0.0704 per unit ..............................
Total amount
Tax at 5% of the total amount ..............................
Amount to pay
(Total 7 marks)
.
7. Convert 0.51 to a fraction.
..........................
(2)
8. (a) Use your calculator to work out the value of
9.8
2.6
2.7 1.2
Write down all the figures on your calculator display.
..................................................
(2)
(b) Give your answer to part (a) correct to 2 significant figures.
..........................
(2)
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Chap 1-5 EMA ALNAR
9. Two fruit drinks, Fruto and Tropico, are sold in cartons.
(a) Fruto contains only orange and mango.
The ratio of orange to mango is 3 : 2
A carton of Fruto contains a total volume of 250 cm3.
Find the volume of orange in a carton of Fruto.
................... cm3
(3)
(b) Tropico contains only lemon, lime and grapefruit.
The ratios of lemon to lime to grapefruit are 1 : 2 : 5
The volume of grapefruit in a carton of Tropico is 200 cm3.
Find the total volume of Tropico in a carton.
................... cm3
(3)
10. The surface area of the Earth is 510 million km2.
The surface area of the Pacific Ocean is 180 million km2.
(a) Express 180 million as a percentage of 510 million.
Give your answer correct to 2 significant figures.
...........................%
(2)
The surface area of the Arctic Ocean is 14 million km2.
The surface area of the Southern Ocean is 35 million km2.
(b) Find the ratio of the surface area of the Arctic Ocean to the surface area of the
Southern Ocean.
Give your ratio in the form 1 : n.
1 : ...........................
4
Chap 1-5 EMA ALNAR
11. (a) Shri invested 4500 dollars. After one year, he received 270 dollars interest.
Work out 270 as a percentage of 4500
................................. %
(2)
(b) Kareena invested an amount of money at an interest rate of 4.5% per year.
After one year, she received 117 dollars interest.
Work out the amount of money Kareena invested.
................................. dollars
(2)
(c) Ravi invested an amount of money at an interest rate of 4% per year.
At the end of one year, interest was added to his account and the total amount in his
account was then 3328 dollars.
Work out the amount of money Ravi invested.
................................. dollars
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Chap 1-5 EMA ALNAR
12. Ella invested $8000 for 3 years at 5% per annum compound interest.
Calculate the value of her investment at the end of 3 years.
$ ............................ . . . . . . . . . . . . . . . .
13. (a) Simplify, leaving your answer in index form
(i) 24 u 23
..........................
(ii) 38 y
..........................
(b) 5x = 1 (2)
Find the value of x.
x = ....................
(1)
29 2 4
(c) Solve = 28
2 n
n = .................................
6
Chap 1-5 EMA ALNAR
14. The table gives the diameters, in metres, of four planets.
Planet Diameter (metres)
Mercury 4.88 106
Venus 1.21 107
Earth 1.28 107
Mars 6.79 106
(a) Which planet has the largest diameter?
........................................... . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 6.79 106 as an ordinary number.
........................................... . . . . . . . . . . . . . . . . . . .
(1)
(c) Calculate the difference, in metres, between the diameter of Venus and the diameter
of Mercury.
Give your answer in standard form.
....................................................... metres
(2)
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Chap 1-5 EMA ALNAR
15. (a) Work out 5.2 102 + 2.3 104
Give your answer in standard form.
.....................................
(2)
(b) a 102 + b 104 = c 104
Express c in terms of a and b.
16. (a) Factorise 5a 3a2
............................................. . . . . . . . . . . . . . . . . .
(2)
(b) Expand
(i) 2(4 3w) ........................................... . . . . . . . . . . . . . . . . . . .
(ii) y2 (y + 10)
........................................... . . . . . . . . . . . . . . . . . . .
(3)
(c)
a = 1.28 b = 0.8
Work out the value of W.
W = ....................................... . . . . . . . . . . . . . . . . . . . . . . .
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Chap 1-5 EMA ALNAR
17. (a) Expand 3(2t + 1)
...............................
(1)
(b) Expand and simplify (x + 5)(x 3)
...............................
(2)
(c) Factorise 10p 15q
...............................
(1)
(d) Factorise n2 + 4n
...............................
(1)
(e) Factorise x2 3 x 1 0
..........................
(2)
18. (a) Factorise the expression 2x2 + 5x 3
..........................
(2)
x2 9
(b) Simplify fully 2
x 9 x 18
..........................
(3)
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Chap 1-5 EMA ALNAR
19. (a) Expand and simplify (3p 2q)(2p + 5q)
...............................
(2)
(b) Simplify (2x2y4)3
...............................
(2)
(c) Simplify (a4b3)2
...............................
1
(2)
(d) Simplify (27p6) 3
...............................
(2)
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