OBJECTIVE TEST

Write 3560 in standard form.

3.56 x 10^-4

3.56 x 10^-3

3.56 x 10³

3.56 x 10⁴

A frog leaps in such a way that its distance, in metres, from its starting position after each leap is given by 4, 7, 10, ...

Find its distance from the starting position after the 10th leap.

Evaluate $\frac{2^{3} x 3^{4} x 3^{3}}{2^{2} x 2 x 3^{5}}$

Which of the following is arranged in ascending order?

-25, -64, 4, 17

-64, -25, 4, 17

-64, -25, 17, 4

17, 4, -25, -64

Write 39.975 km correct to three significant figures.

39 km

39.975

49 km

40.0 km

40.9 km

Given that M={a,b,c} find the number of subsets of M

If c = $\frac{b^{2} + 4r}{2ar}$ , find c when b = 3, r = 4 and a = 5

$\frac{19}{40}$

$\frac{11}{20}$

$\frac{3}{8}$

$\frac{5}{8}$

A bag of rice weighs 2 kg. If the empty bag weights 150 g, find the weight of the rice.

[1 kg = 1,000 g]

0.175 kg

0.185 kg

1.850 kg

1.750 kg

Write 1101101_two in base ten

108

109

218

10.

Simplify 2ab² × 3a²b

5a³b³

5a²b²

6a³b³

5a²b²

36ab

11.

Simplify $(3 \frac{1}{2} + 7) \div (4 \frac{1}{3} - 3)$

6 $\frac{7}{8}$

7 $\frac{7}{8}$

10 $\frac{1}{2}$

12.

If r = $(\begin{matrix} 2 \\ -5 \end{matrix})$ and s = $(\begin{matrix} -2 \\ 5 \end{matrix})$ , calculate 2r - 3s.

$(\begin{matrix} -10 \\ -25 \end{matrix})$

$(\begin{matrix} -2 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ 25 \end{matrix})$

13.

Find the image of -3 under the mapping x → 2(x + 3).

14.

The diagram shows the conversion graph for miles and kilometres.

Use it to answer the question below

Express 4 kilometres in miles.

6.4

3.5

2.5

15.

Which of the following geometric figures is the plane shape of a cube?

Circle

Rectangle

Square

Triangle

16.

The table below shows the average rainfall in a town from March 2003 to August 2003.

Use it to answer the question below.

Month	March	April	May	June	July	August
Rainfall (mm)	96	147	281	452	265	139

What was the total amount of rainfall in May, June and July?

696 mm

930 mm

998 mm

1020 mm

17.

If q = ut + $\frac{1}{2}$ ft, find q when u = 20, t = 10 and f = 15

350

275

237.5

42.5

18.

Find the gradient of the line that joins the points A(-3,5) and B(7,-2).

19.

Find the Highest Common Factor of 24, 42 and 72

20.

In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?

113

100

21.

Not drawn to scale

In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.

3.0 cm

8.0 cm

9.0 cm

19.2 cm

22.

Expand 3a(a – 4b)

3a – 12ab

3a² – 12ab

3a² – 12b

3a² – 12a

23.

Solve the inequality: $\frac{1}{2}$ (3x - 1) + 1 ≤ 7 + 2x.

x ≥ -14

x ≤ -14

x ≥ -13

x ≤ -13

24.

Express 15 : 12 in the form 1 : n.

1 : 0.8

1 : 12

1 : 15

1 : 1.2

25.

Which of the following expression is illustrated on the number line above?

x < -3

x ≤ -3

x > -3

x ≥ -3

26.

There are 15 red and 25 black balls in a bag. Find the probability of selecting a black ball from the bag.

$\frac{1}{25}$

$\frac{1}{15}$

$\frac{3}{8}$

$\frac{3}{5}$

$\frac{5}{8}$

27.

Express 0.625 as a fraction in its lowest term.

$\frac{7}{8}$

$\frac{3}{4}$

$\frac{5}{8}$

$\frac{1}{2}$

$\frac{1}{3}$

28.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

How much does Mr. Awuah spend on rent?

₵90.00

₵450.00

₵4,500.00

₵9,000.00

₵16,200.00

29.

In the diagram, P→P¹, Q→Q¹, R→R¹, where P¹Q¹R¹ is an enlargement.

If |PR| = 3.6 m, what is |P¹R¹|?

–7.2 m

–1.8 m

1.2 m

1.8 m

7.2 m

30.

Subtract 125.47 from 203.90

78.57

78.43

-121.57

-122.38

31.

Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?

4.98 km

4.69 km

3.96 km

3.68 km

32.

Find the product of 17 and 121.

968

1,751

2,057

8,591

33.

In the diagram above, AB is parallel to CD. Angles x and y are

alternate angles

corresponding angles

vertically opposite angles

co-interior angles

34.

Find the mean of the following set of numbers 10, 12, 14 and 16.

35.

In the diagram below, ACD is an isosceles triangle in which |AD| = |AC| and DC is parallel to BE, find the value of the angle marked x.

55°

62.5°

110°

117.5°

125°

36.

Solve 4x – 6 < -2

x < 1

x > 1

x < -1

x > -1

x < 4

37.

Given that $\sqrt{p^{2} + q^{2}}$ = p x q, find the value of a, if a = $\sqrt{13^{2} + 15^{2}}$

175

195

247

494

38.

The bar chart shows the distances of 5 villages, P, Q, R, S and T from a market town.

Use it to answer the question below.

How much farther is village Q than village R from the market town?

2 km

3 km

4 km

5 km

6 km

39.

Express 350 as a product of prime factors

2 × 5 × 7

2 × 5² × 7

2 × 5 × 7²

2² × 5 × 7

40.

When twelve is subtracted from three times a certain number and the result is divided by four, the answer is eighteen. Find the number.

THEORY QUESTIONS

(a)

Solve the equation: $\frac{2x - 1}{3}$ - $\frac{x - 2}{4}$ = 1

(b)

Factorize completely 2ap + aq - bq – 2bp

(c)

Given that m = -2 and n = $\frac{3}{4}$ , find the value of

(i)

m²(n – 1)

(ii)

n² - $\frac{3}{m}$

ξ = {1, 2, 3, 4, ...,18}
A = {Prime numbers}
B= {Odd numbers greater than 3}

(a)

If A and B are subsets of the Universal set, ξ, list the members of A and B.

(b)

Find the set

(i)

A ∩ B;

(ii)

A ∪ B.

(c)

(i)

Illustrate ξ, A and B on a Venn diagram.

(ii)

Shade the region for prime factors of 18 on the Venn diagram.

(a)

Express 131_five as a binary numeral

(b)

Three children, Kwabena, Esi and Yaw were given 160 oranges to share. Kwabena gets $\frac{1}{4}$ of the oranges. Esi and Yaw share the remainder in the ratio 3 : 2 respectively.

(i)

Find how many oranges Esi received

(ii)

How many more oranges did Yaw receive than Kwabena?

Express 250 % as a fraction in its lowest term.

Use the diagram to find the value of x.

Simplify:

If q =

and r =

find (q + r).

(a)

(i)

Using a pair of compasses and ruler only, construct triangle XYZ with XZ = 12cm, XY = 10cm and angle XYZ = 90°.

(ii)

Measure YZ.

(iii)

Calculate the area of triangle XYZ

(iv)

Measure angle ZXY.

(b)

An isosceles triangle has a perimeter of (9y – 15) cm.

What is the length of each of the two equal sides, if its third side is (3y – 7) cm?

(a)

The diagram is a triangle ABC with the side AC produced to D. Find

(i)

the value of x;

(ii)

angle ACB.

(b)

The simple interest formula, I = $\frac{PTR}{100}$ , gives the interest, I on a principal, P invested at a rate, R per annum for time, T years.

(i)

Find the simple interest on GH₵ 3,600.00 at 15% per annum for 2 years.

(ii)

Make R the subject of the simple interest formula.

(iii)

At what rate per annum will GH₵ 6,000.00 earn GH₵ 2,400.00 simple interest in 2 years?