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BECE MATHEMATICS 2007

OBJECTIVE TEST

1.

List the members of the set

P = {factors of 30 which are odd}.

A.

P = {2, 3, 5}

B.

P = {1, 2, 3, 5}

C.

P = {1, 3, 5, 15}

D.

P = {2, 6, 10, 30}

2.

M = {g, o, q, s} and W = {h, p, r, t}. Find W U W.

A.

{q, r, s, t}

B.

{g, h, o, q, r}

C.

{g, h, o, q, r, t}

D.

{g, h, o, p, q, r, s, t}

3.

Name the geometrical figure shown in the diagram below.

A.

Cuboid

B.

Cone

C.

Pyramid

D.

Sphere

4.

Express 5 16 as a decimal fraction.

A.

0.3333

B.

0.3125

C.

0.2667

D.

0.2500

5.

If y = - 1 2 x + 6, find y when x = 4.

A.

-2

B

B.

2

C.

4

D.

8

6.

The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.

Use this information to answer the question below.

What is the mode?

A.

2

B.

5

C.

9

D.

18

7.

The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.

Use this information to answer the question below.

Find the median.

A.

9

B.

7

C.

5

D.

2

8.

The pie chart above shows the distribution of 360 pupils to various houses in a school.

Use it to answer the question below

Find the value of the angle marked X°.

A.

30°

B.

40°

C.

100°

D.

150°

9.

The pie chart above shows the distribution of 360 pupils to various houses in a school.

Use it to answer the question below

How many more students are in Yellow House than in Blue House?

A.

30

B.

40

C.

70

D.

100

10.

Express 242 as a product of prime factors.

A.

22 x 112

B.

2 x 112

C.

22 x 11

D.

2 x 11

11.

Change 110011two to number in base ten.

A.

51

B.

50

C.

48

D.

32

12.

A boy throws a die once. What is the probability of getting the number 4?

A.

1 6

B.

1 3

C.

1 2

D.

5 6

13.

Arrange the following fractions from the highest to the lowest: 5 6 , 4 5 and 4 7

A.

4 7 , 4 5 , 5 6

B.

4 5 , 5 6 , 4 7

C.

5 6 , 4 5 , 4 7

D.

4 7 , 5 6 , 4 5

14.

Solve the inequality 3x + 6 ≤ 5x - 2.

A.

x ≤ 2

B.

x ≥ 2

C.

x ≤ 4

D.

x ≥ 4

15.

If 8x - 3(2x - 4) = 4, find the value of x.

A.

-8

B.

-4

C.

4

D.

8

16.

Use the diagram below to answer the question below.

Find the size of angle y.

A.

75°

B.

80°

C.

100°

D.

105°

17.

Use the diagram below to answer the question below.

Angles NTZ and QZT are

A.

alternate angles.

B.

corresponding angles

C.

complementary angles

D.

supplementary angles

18.

Factorize 1 4 px2 + 1 8 px.

A.

1 4 px(x + 2)

B.

1 4 px(x + 1 2 )

C.

1 8 px( 1 2 x + 2)

D.

1 8 px(x + 2)

19.

Jojo and Fiifi shared an amount of money in the ratio 3 : 4 respectively. If Fiifi had ₵ 140, 000 how much was shared?

A.

₵ 200,000.00

B.

₵ 220,000.00

C.

₵ 245,000.00

D.

₵ 280,000.00

20.

Simplify 6(7a + 4) - 3(8a + 9)

A.

18a - 3

B.

18a + 51

C.

42a - 27

D.

66a -3

21.

A man invested ₵ 500,000.00 at 15% simple interest per annum for 2 years. Calculate the amount at the end of the period.

A.

₵ 350,000.00

B.

₵ 650,000.00

C.

₵ 750,000.00

D.

₵ 800,000.00

22.

Make m the subject of p = 3m + 1 m .

A.

m = 3p + 1

B.

m = p - 3

C.

m = 1 p - 3

D.

m = 3p + 1 p

23.

Simplify 200 x 0.01 x 372 leaving your answer in standard form.

A.

74.4 x 101

B.

7.44 x 101

C.

7.44 x 102

D.

7.44 x 104

24.

What percentage of 5 is 0.25?

A.

4%

B.

5%

C.

20%

D.

25%

25.

Calculate the area of the figure ABCD above.

A.

72 cm2

B.

90 cm2

C.

108 cm2

D.

126 cm2

26.

In which of the following constructions is P equidistant from the points A and B?

A.

B.

C.

D.

27.

If a : 27 = 6 : 18, find a.

A.

4

B.

9

C.

51

D.

81

28.

The diagram below shows a circle center O. If A and B are points on the circle, what name is given to the shaded region?

A.

Chord

B.

Segment

C.

Sector

D.

Arc

29.

An amount of ₵ 5, 400.00 is shared among three sisters in the ratio of their ages. Their ages are 10 years, 6 years and 2 years. Find the share of the youngest sister.

A.

₵ 300.00

B.

₵ 600.00

C.

₵ 1,200.00

D.

₵ 1,800.00

30.

Find the Least Common Multiple(L.C.M) of 4, 5 and 6.

A.

20

B.

24

C.

30

D.

60

31.

Expand (a + 2b)(a - 2b)

A.

a2 - 4ab - 4b2

B.

a2 + 4ab - 4b2

C.

a2 - 4b2

D.

a2 + 4b2

32.

If a woman was paid ₵180,000.00 for working for 4 1 2 days, how much would she be paid for one day?

A.

₵40,000.00

B.

₵45,000.00

C.

₵54,000.00

D.

₵81,000.00

33.

Express 0.68 as a fraction in its lowest term.

A.

7 25

B.

17 25

C.

3 5

D.

7 15

34.

Write down all the integers within the interval 21 < y ≤ 27.

A.

{21, 22, 23, 24, 25, 26, 27}

B.

{22, 23, 24, 25, 26, 27}

C.

{21, 22, 23, 24, 25, 26}

D.

{22, 23, 24, 25, 26}

35.

Simplify (26 x 34) ÷ (24 x 32)

A.

22 x 32

B.

22 x 36

C.

210 x 32

D.

210 x 36

36.

Which of the following is represented by vector AB in the diagram above?

A.

(5 cm, 045°)

B.

(5 cm, 135°)

C.

(5 cm, 180°)

D.

(5 cm, 225°)

37.

Solve for y, if 3 + 3y = 1 - 13y

A.

- 1 8

B.

- 1 4

C.

1 8

D.

1 4

38.

Convert 37ten to a base two numeral.

A.

100101

B.

100111

C.

101101

D.

110101

39.

The length of a rectangular playing field is 5 metres longer than its width. If the perimeter of the field is 150 metres, find its width.

A.

30 metres

B.

35 metres

C.

40 metres

D.

45 metres

40.

If the vector m = ( 3 2 ) and n = ( -1 3 ) , find m - 2n.

A.

( -1 4 )

B.

( 1 -4 )

C.

( 5 4 )

D.

( 5 -4 )

THEORY QUESTIONS

1.

(a)

In a class of 39 students, 19 offer French and 25 offer Ga. Five students do not offer any of the two languages. How many students offer only French?

(b)

In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°.

Find the value of

(i)

angle CBF;

(ii)

x.

(c)

A fair die is thrown once.

(i)

Write down the set of all the possible outcomes.

(ii)

Find the probability of obtaining a multiple of 2.

(iii)

What is the probability of obtaining a prime number?

Show Solution
2.

(a)

A water tank in the form of a cuboid of height 22 cm and a rectangular base of length 7 cm and width 5 cm is filled with water. The water is then poured into a cylindrical container of diameter 14 cm.

Calculate the height of the water in the cylindrical container.

[Take π = 22 7 ]

(b)

A trader is given 15 percent discount on goods bought from a factory. If the original price of an item in the factor is ₵45,000,000, calculate

(i)

the discount on the item

(ii)

the amount the trader paid for the item.

(c)

Find the truth set of x - 3 3 1 2 + x and illustrate your answer on the number line.

Show Solution
3.

Using a ruler and a pair of compasses only,

(a)

Construct triangle PQR such that the length of PQ = 10 cm, angle QPR = 90° and angle PQR = 30°.

Measure the length of PR.

(b)

Bisect the angle QRP to meet PQ at M.

(c)

With M as centre, and radius MP draw a circle.

(d)

Measure the radius of the circle.

Show Solution
4.

The bar chart above is the distribution of marks in a class test.

(a)

(i)

Write down the frequency table for the distribution.

(ii)

Use the table to find the mean mark.

(b)

If the pass mark is 4, how many pupils failed the test?

Show Solution
5.

(a)

Mr. Jones used 173 units of electricity last month. If the charge for the first 110 units was ₵150 per unit and ₵200 per unit for the rest, calculate the total bill for Mr. Jones.

(b)

Express 4 hours in seconds leaving your answer in standard form.

(c)

Given the vectors r = ( 3 -5 ) and p = ( -7 -9 ) and q = 2p - r, find q.

Show Solution
6.

(a)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.

(i)

Plot A(2, 2), B(6, 2) and C(4, 6). Join AB, BC and AC

(ii)

Draw the image triangle A1B1C1 of triangle ABC under a clockwise rotation of 90° about the origin, where AA1, BB1 and CC1.

(iii)

Draw the image triangle A2B2C2 of triangle ABC under a reflection in the y-axis, where AA2, BB2 and CC2

(b)

When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

Show Solution

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