Year : 
1998
Title : 
Mathematics (Core)
Exam : 
WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

41 - 50 of 63 Questions

# Question Ans
41.

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ

A. 58.5o

B. 44o

C. 35o

D. 31.5o

E. 27o

E

42.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.

A. 175.0cm

B. 157.1cm

C. 37.7cm

D. 11.0cm

E. 3.1cm

E

43.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

A. 3.403cm2

B. 5.350cm2

C. 10.99cm2

D. 157.1cm2

E. 175.0cm2

B

44.

Calculate the perimeter of the trapezium PQRS

A. 24cm

B. 36cm

C. 48cm

D. 72cm

E. 520cm

Detailed Solution

Using Pythagora's rule for △PSM
Hyp\(^2\) = Opp\(^2\) + Adj\(^2\)
5\(^2\) = Opp\(^2\) + 4\(^2\)
→ Opp\(^2\) = 25 - 16
→ Opp = √9 = 3
base SR = 18 + 3 = 21
base PQ = 18
side PS = 5
side QR = 4
perimeter of the trapezium PQRS = 21 + 18 + 5 + 4 = 48cm
45.

The length of an arc of a circle of radius 5cm is 4cm. Find the area of the sector

A. \(1\frac{3}{5}cm^2\)

B. 2cm2

C. 8cm2

D. 10cm2

E. 20cm2

D

46.

The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
If a hundred students travelled by bus, find the total number of students in the school

A. 300

B. 400

C. 500

D. 600

E. 750

Detailed Solution

If X represent the total number of students
\(\frac{90}{360}\times X=100\)(students traveling by bus)
\(X=\frac{100\times 360}{90}=400\)
47.

The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of tghe students travelled to school on foot?

A. 24%

B. 23%

C. 20%

D. 15%

E. 14%

A

48.

The diagram above is a rectangle. If the perimeter is 36m, find the area of the rectangle

A. \(64m^2\)

B. \(65m^2\)

C. \(84m^2\)

D. \(124m^2\)

E. \(275m^2\)

B

49.

In \(\triangle PQR\). T is a point on QR such that \(\angle QPT = 39^o and \angle PTR = 83^o. Calculate \angle PQT\)

A. \(34^o\)

B. \(44^o\)

C. \(45^o\)

D. \(97^o\)

E. \(107^o\)

B

50.

Find the value of x in the diagram above

A. 8.0cm

B. 6.8cm

C. 6.6cm

D. 6.5cm

E. 5.6cm

E

41.

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ

A. 58.5o

B. 44o

C. 35o

D. 31.5o

E. 27o

E

42.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.

A. 175.0cm

B. 157.1cm

C. 37.7cm

D. 11.0cm

E. 3.1cm

E

43.

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

A. 3.403cm2

B. 5.350cm2

C. 10.99cm2

D. 157.1cm2

E. 175.0cm2

B

44.

Calculate the perimeter of the trapezium PQRS

A. 24cm

B. 36cm

C. 48cm

D. 72cm

E. 520cm

Detailed Solution

Using Pythagora's rule for △PSM
Hyp\(^2\) = Opp\(^2\) + Adj\(^2\)
5\(^2\) = Opp\(^2\) + 4\(^2\)
→ Opp\(^2\) = 25 - 16
→ Opp = √9 = 3
base SR = 18 + 3 = 21
base PQ = 18
side PS = 5
side QR = 4
perimeter of the trapezium PQRS = 21 + 18 + 5 + 4 = 48cm
45.

The length of an arc of a circle of radius 5cm is 4cm. Find the area of the sector

A. \(1\frac{3}{5}cm^2\)

B. 2cm2

C. 8cm2

D. 10cm2

E. 20cm2

D

46.

The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
If a hundred students travelled by bus, find the total number of students in the school

A. 300

B. 400

C. 500

D. 600

E. 750

Detailed Solution

If X represent the total number of students
\(\frac{90}{360}\times X=100\)(students traveling by bus)
\(X=\frac{100\times 360}{90}=400\)
47.

The pie chart above show the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of tghe students travelled to school on foot?

A. 24%

B. 23%

C. 20%

D. 15%

E. 14%

A

48.

The diagram above is a rectangle. If the perimeter is 36m, find the area of the rectangle

A. \(64m^2\)

B. \(65m^2\)

C. \(84m^2\)

D. \(124m^2\)

E. \(275m^2\)

B

49.

In \(\triangle PQR\). T is a point on QR such that \(\angle QPT = 39^o and \angle PTR = 83^o. Calculate \angle PQT\)

A. \(34^o\)

B. \(44^o\)

C. \(45^o\)

D. \(97^o\)

E. \(107^o\)

B

50.

Find the value of x in the diagram above

A. 8.0cm

B. 6.8cm

C. 6.6cm

D. 6.5cm

E. 5.6cm

E