Year : 
1989
Title : 
Mathematics (Core)
Exam : 
WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

31 - 40 of 48 Questions

# Question Ans
31.

In the diagram above, what is the size of angle ACB?

A. 40o

B. 50o

C. 60o

D. 80o

E. 100o

Detailed Solution

< ABC = 80° (alternate angles)
< ACB = 180° - (80° + 40°) = 60°
32.

With reference to the graph above, which f the following solution sets is represented by ΔOPQ?

A. y ≥ x, y ≤ 0, y + x ≥ 7

B. y ≤ x, y ≥ 0, y + x ≤ 7

C. y ≥ x, y ≥ 0, y + x ≤ 7

D. y ≤ x, y ≤ 0, y + x ≤ 7

E. y ≤ x, y ≥ 0, y + x ≥ 7

D

33.

Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]

A. 3.4cm2

B. 15.5cm2

C. 21.0cm2

D. 42.0cm2

E. 154.0cm2

E

34.

The table above gives the scores of a group of students in an English Language test

A. 3/20

B. 1/5

C. 1/4

D. 3/10

E. 3/4

Detailed Solution

Probability = 5/20 = 1/4
35.

The angle of a sector of a circle of diameter 8cm is 135° [Take x = 22/7].

A. 270

B. 350

C. 302

D. 430

Detailed Solution

Area of a sector
θπr2/360°
= (135 / 360) X 3.142 X 16 X 16
= 301.6
≈ 302cm2
36.

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

A. 55o

B. 40o

C. 35o

D. 25o

E. 20o

Detailed Solution

∠QPT = xo = 180o - 125o - 35o = 20o
37.

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

A. (0,6), (3,9)

B. (-3, 0)(2,4)

C. (-2,4)(3,9)

D. (-2,3)(-3,2)

E. (-2,2)(3,6)

Detailed Solution

From the graph; when x = -2, y = 4
(-2, 4)

x = 3.0, y = 9; (3,9)

(-2, 4)(3,9)
38.

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A. 11.25cm2

B. 12.83cm2

C. 22.0cm2

D. 67.2cm2

E. 90.2cm2

Detailed Solution


r = 3.5 cm; l = 8.2 cm.
Curved surface area = \(\pi rl\)
= \(\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}\)
= 90.2 cm\(^2\)
39.

If logax = p, express x in terms of a and p

A. x = u + p

B. x = a/p

C. x = p

D. x = ap

E. x = ap

Detailed Solution

\(\log_{a} x = p\)
\(x = a^p\)
40.

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70o at the center of the circle radius 4cm. [Take π = 22/7]

A. 2.44cm

B. 4.89cm

C. 9.78cm

D. 25.1cm

E. 50.3cm

Detailed Solution

Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360o = 25.1cm
70o =
25.1/360
x 70 = 4.89

31.

In the diagram above, what is the size of angle ACB?

A. 40o

B. 50o

C. 60o

D. 80o

E. 100o

Detailed Solution

< ABC = 80° (alternate angles)
< ACB = 180° - (80° + 40°) = 60°
32.

With reference to the graph above, which f the following solution sets is represented by ΔOPQ?

A. y ≥ x, y ≤ 0, y + x ≥ 7

B. y ≤ x, y ≥ 0, y + x ≤ 7

C. y ≥ x, y ≥ 0, y + x ≤ 7

D. y ≤ x, y ≤ 0, y + x ≤ 7

E. y ≤ x, y ≥ 0, y + x ≥ 7

D

33.

Find the volume of a cone of radius 3.5cm and vertical height 12cm [Take π = 22/7]

A. 3.4cm2

B. 15.5cm2

C. 21.0cm2

D. 42.0cm2

E. 154.0cm2

E

34.

The table above gives the scores of a group of students in an English Language test

A. 3/20

B. 1/5

C. 1/4

D. 3/10

E. 3/4

Detailed Solution

Probability = 5/20 = 1/4
35.

The angle of a sector of a circle of diameter 8cm is 135° [Take x = 22/7].

A. 270

B. 350

C. 302

D. 430

Detailed Solution

Area of a sector
θπr2/360°
= (135 / 360) X 3.142 X 16 X 16
= 301.6
≈ 302cm2
36.

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

A. 55o

B. 40o

C. 35o

D. 25o

E. 20o

Detailed Solution

∠QPT = xo = 180o - 125o - 35o = 20o
37.

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

A. (0,6), (3,9)

B. (-3, 0)(2,4)

C. (-2,4)(3,9)

D. (-2,3)(-3,2)

E. (-2,2)(3,6)

Detailed Solution

From the graph; when x = -2, y = 4
(-2, 4)

x = 3.0, y = 9; (3,9)

(-2, 4)(3,9)
38.

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A. 11.25cm2

B. 12.83cm2

C. 22.0cm2

D. 67.2cm2

E. 90.2cm2

Detailed Solution


r = 3.5 cm; l = 8.2 cm.
Curved surface area = \(\pi rl\)
= \(\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}\)
= 90.2 cm\(^2\)
39.

If logax = p, express x in terms of a and p

A. x = u + p

B. x = a/p

C. x = p

D. x = ap

E. x = ap

Detailed Solution

\(\log_{a} x = p\)
\(x = a^p\)
40.

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70o at the center of the circle radius 4cm. [Take π = 22/7]

A. 2.44cm

B. 4.89cm

C. 9.78cm

D. 25.1cm

E. 50.3cm

Detailed Solution

Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360o = 25.1cm
70o =
25.1/360
x 70 = 4.89