Year : 
1996
Title : 
Mathematics (Core)
Exam : 
WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

21 - 30 of 49 Questions

# Question Ans
21.

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

A. 503.0cm3

B. 300.0cm3

C. 250.0cm3

D. 226.2cm3

E. 150.9cm3

Detailed Solution

Volume =\(\pi\)r2h = 3.142 x 3 x 3 x 8

=72 x 3.142 = 226.2cm3
22.

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

A. 80cm2

B. 48cm2

C. 40cm2

D. 36cm2

E. 24cm2

B

23.

Two towns X and Y both on latitude 60oS have longitude 27oE and 33oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 104km, where R is the Radius of the earth]

A. 28850km

B. 16667km

C. 8333km

D. 6667km

E. 3333km

E

24.

The angle of a sector of a circle of radius 35cm is 288o. Find the perimeter of the sector. [Take π = 22/7]

A. 246cm

B. 211cm

C. 141cm

D. 114cm

E. 44cm

A

25.

How many sides has a polygon if the sum of its interior angle is 1440o?

A. 6

B. 7

C. 8

D. 9

E. 10

E

26.

Each interior angle of a regular nonagon(nine sided polygon) is equal to

A. 160o

B. 144o

C. 140o

D. 132o

E. 36o

C

27.

In the diagram above, find x correct to the nearest degree

A. 15o

B. 25o

C. 26o

D. 36o

E. 72o

C

28.

In the diagram above, TRQ is a straight line. Find p, if p = 1/3(a + b + c)

A. 45o

B. 60o

C. 90o

D. 120sup>o

E. 150o

A

29.

Which of the following is not true? You may construct a

A. triangle given all the three sides

B. triangle given one side and two angles

C. triangle given two sides and the included angle

D. quatrilateral given all the four sides

E. parallelogram given two adjacent sides and the diagonal joining them

D

30.

In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT

A. 30o

B. 35o

C. 40o

D. 70o

E. 110o

C

21.

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

A. 503.0cm3

B. 300.0cm3

C. 250.0cm3

D. 226.2cm3

E. 150.9cm3

Detailed Solution

Volume =\(\pi\)r2h = 3.142 x 3 x 3 x 8

=72 x 3.142 = 226.2cm3
22.

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

A. 80cm2

B. 48cm2

C. 40cm2

D. 36cm2

E. 24cm2

B

23.

Two towns X and Y both on latitude 60oS have longitude 27oE and 33oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 104km, where R is the Radius of the earth]

A. 28850km

B. 16667km

C. 8333km

D. 6667km

E. 3333km

E

24.

The angle of a sector of a circle of radius 35cm is 288o. Find the perimeter of the sector. [Take π = 22/7]

A. 246cm

B. 211cm

C. 141cm

D. 114cm

E. 44cm

A

25.

How many sides has a polygon if the sum of its interior angle is 1440o?

A. 6

B. 7

C. 8

D. 9

E. 10

E

26.

Each interior angle of a regular nonagon(nine sided polygon) is equal to

A. 160o

B. 144o

C. 140o

D. 132o

E. 36o

C

27.

In the diagram above, find x correct to the nearest degree

A. 15o

B. 25o

C. 26o

D. 36o

E. 72o

C

28.

In the diagram above, TRQ is a straight line. Find p, if p = 1/3(a + b + c)

A. 45o

B. 60o

C. 90o

D. 120sup>o

E. 150o

A

29.

Which of the following is not true? You may construct a

A. triangle given all the three sides

B. triangle given one side and two angles

C. triangle given two sides and the included angle

D. quatrilateral given all the four sides

E. parallelogram given two adjacent sides and the diagonal joining them

D

30.

In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT

A. 30o

B. 35o

C. 40o

D. 70o

E. 110o

C