Free Printable SS3 FFO Test

1.

At a point 500m from the base of a water tank, the angle of elevation of the top of the tank is 45⁰. Find the height of the tank.

a)

250m

b)

353m

c)

345m

d)

433m

e)

500m

2.

The angle of depression of a point Q from a vertical tower PR, 30m high is 40⁰. If the foot P of the tower is on the same horizontal level as Q, find correct to 2 decimal places, |PQ|.

a)

35.75m

b)

25.17m

c)

22.96m

d)

19.26m

e)

33.5m

3.

The bearing of a point P from another point Q is 310⁰. If |PQ| = 200m, how far west of Q is P?

a)

128.6m

b)

153.2m

c)

167.6m

d)

187.9m

e)

123.5m

4.

A ship sails xkm due east to a point E and continues xkm due north to a F. Find the bearing of F from the starting point.

a)

045⁰

b)

090⁰

c)

135⁰

d)

225⁰

e)

204⁰

5.

* Use this information to answer questions 5 and 6. Points P and Q are respectively 24m north and 7m east of R. Calculate PQ in meters

a)

20m

b)

24m

c)

25m

d)

31m

6.

What is the bearing of Q from P to the nearest whole degree?

a)

16⁰

b)

17⁰

c)

73⁰

d)

106⁰

e)

164⁰

7.

If 104_x = 68 find the value of x

a)

4

b)

5

c)

7

d)

8

e)

9

8.

Convert 35 to binary

a)

1011₂

b)

10011₂

c)

100011₂

d)

110010₂

e)

110001₂

9.

Convert 42₅ to a base three number

a)

201₃

b)

210₃

c)

211₃

d)

222₃

e)

(a) 232₃

10.

A chord is 5cm from the center of a circle of diameter 26cm, Find the length of the chord.

a)

16cm

b)

18cm

c)

24cm

d)

25.51cm

e)

51.0cm

11.

Simplify 2log₃6 + log₃12 – log₃16

a)

2

b)

4 – log₃2

c)

2 – 2log₃2

d)

3 – log₃2

e)

3

12.

Given that y= m^x, which of the following is correct?

a)

m = xlogy

b)

x = log_my

c)

y=logxm

d)

x = log_ym

e)

y = log_ym

13.

If log₄x = -3, find the value of x

a)

$\frac{1}{81}$

b)

$\frac{1}{64}$

c)

64

d)

81

e)

16

14.

If the simple interest on N2000: 00 after 9 months is N60: 00, at what rate per annum is the interest charged?

a)

2.25%

b)

7%

c)

4%

d)

5%

e)

6%

15.

A man bought 220 mangoes at N5x, he sold each at 3x kobo and made a gain of N8:00. Find the value of x.

a)

2

b)

16

c)

6

d)

10

e)

5

16.

What sum of money will amount to D10, 400: 00 in 5 years at 6% simple interest?

a)

D8 000 : 00

b)

D10 000 : 00

c)

D12 000: 00

d)

D16 000: 00

e)

D20 000:00

17.

Given that t = 2^-x, find 2^{x + 1}in terms of t.

a)

$\frac{2}{t}$

b)

$\frac{t}{2}$

c)

$\frac{1}{2t}$

d)

2t

e)

$2t^2$

18.

What is the length of a rectangular garden whose perimeter is 32cm and area 39cm²?

a)

25cm

b)

18cm

c)

13cm

d)

9cm

e)

14cm

19.

The area of a circle is 38.5cm², find it’s diameter. (take π =22/7 )

a)

22cm

b)

14cm

c)

7cm

d)

6cm

e)

5cm

20.

A rectangle has length xcm and width (x – 1)cm. If the perimeter is 16cm, find the value of x.

a)

3.5cm

b)

4cm

c)

4.5cm

d)

5cm

e)

5.5cm

21.

If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?

a)

1

b)

0.5

c)

-0.5

d)

-1

e)

2

22.

If x varies inversely as y and y varies directly as z. What is the relationship between x and z?

a)

x α z

b)

x α 1/z

c)

x α z²

d)

x α 1/z²

e)

x α x²

23.

G varies directly as the square of H. If G is 4 when H is 3, find H when G = 100.

a)

15

b)

25

c)

75

d)

225

e)

125

24.

What is the probability of having an odd number in a single toss of a fair die?

a)

$\frac{1}{6}$

b)

$\frac{1}{3}$

c)

$\frac{1}{2}$

d)

$\frac{2}{3}$

e)

$\frac{5}{6}$

25.

What is the probability of throwing a number greater than 2 with a single fair die?

a)

$\frac{1}{6}$

b)

$\frac{5}{6}$

c)

$\frac{4}{3}$

d)

$\frac{1}{2}$

e)

$\frac{2}{3}$

26.

Use the information below to answer questions 26 and 27 A box contains 5 red, 3 green and 4 blue balls. A boy is allowed to take away two balls from the box. (without replacement)

26. What is the probability that the two balls are red?

a)

$\frac{5}{33}$

b)

$\frac{5}{36}$

c)

$\frac{103}{132}$

d)

$\frac{31}{36}$

e)

$\frac{15}{33}$

27.

What is the probability that one is green and the other is blue?

a)

$\frac{1}{11}$

b)

$\frac{5}{12}$

c)

$\frac{3}{12}$

d)

$\frac{7}{11}$

e)

$\frac{5}{14}$

28.

Two fair dice are tossed at once. Find the probability that the sum of the outcome is at least 10.

a)

$\frac{1}{12}$

b)

$\frac{5}{36}$

c)

$\frac{1}{6}$

d)

$\frac{1}{4}$

e)

$\frac{5}{18}$

29.

Simplify 0.027^-1/3

a)

3 $\frac{1}{3}$

b)

3

c)

$\frac{3}{10}$

d)

$\frac{1}{3}$

e)

$\frac{1}{9}$

30.

If 9^{(2 – x)} = 3, find x.

a)

1

b)

$\frac{3}{2}$

c)

2

d)

$\frac{5}{2}$

e)

$\frac{2}{5}$

31.

Evaluate $\frac{27^{\frac{1}{3}}}{16^{\frac{1}{4}}}$

a)

6

b)

1.5

c)

4

d)

3

e)

2

32.

If (0.25)^y = 32, find the value of y.

a)

$-\frac{5}{8}$

b)

$\frac{5}{8}$

c)

$\frac{3}{2}$

d)

$-\frac{5}{2}$

e)

$\frac{1}{12}$

33.

Solve the equation 2⁷ = 8^{5 – x}

a)

$\frac{5}{8}$

b)

$\frac{8}{3}$

c)

$\frac{3}{2}$

d)

$\frac{15}{4}$

e)

$\frac{15}{8}$

34.

Given that 2x + y = 10 and y ≠ 0, which of the following is not a possible value of x?

a)

4

b)

5

c)

6

d)

8

e)

10

35.

Solve 6(x – 4) + 3(x + 7) = 3.

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

e)

0

36.

Given that x = 2 and y = $-\frac{1}{4\ }$ , evaluate
$\frac{x^2y\ -2xy}{5}$

a)

0

b)

$\frac{1}{5}$

c)

1

d)

2

e)

3

37.

The sum of 12 and one-third of n is 1 more than twice n. Express the statement in the form of an equation.

a)

n – 33 = 0

b)

n + 33 = 0

c)

5n + 33 = 0

d)

5n – 33 = 0

e)

2n -33

38.

PQRS is a cyclic quadrilateral. If <QPS = 75⁰, which of the following is the size of <QRS?

a)

180⁰

b)

150⁰

c)

105⁰

d)

75⁰

e)

85⁰

39.

A trader makes a loss of 15% when selling an article. Find the ratio, selling price: cost price.

a)