Year : 
1988
Title : 
Mathematics (Core)
Exam : 
WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

1 - 10 of 41 Questions

# Question Ans
1.

Evaluate (101.5)2 - (100.5)2

A. 1

B. 2.02

C. 20.02

D. 202

E. 2020

Detailed Solution

(101.5)2 - (100.5)2;(101.5 + 100.5)

202 x 1

= 202
2.

Express the product of 0.06 and 0.09 in standard form

A. 5.4 * 10-1

B. 5.4*10-2

C. 5.4*10-3

D. 5.4*102

E. 5.4*103

Detailed Solution

0.06 x 0.09 = 0.0054

= 5.4 x 10-3
3.

Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)

A. 0

B. 1\24

C. 2/3

D. 11/2

E. 71/2

Detailed Solution

36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)
= \(6 \times \frac{1}{4} \times 1\)
= \(1\frac{1}{2}\)
4.

Find the 8th term of the A.P -3, -1, 1 ......

A. 13

B. 11

C. -8

D. -11

E. -17

Detailed Solution

Un = a + (n-1)d
     = -3 + (8 - 1)2
     = 11
5.

A group of students took a test and the following frequency table shows the scores above
Find the mode

A. 2

B. 3

C. 4

D. 5

E. 7

Detailed Solution

The mode=4. It has the highest frequency of 7
6.

A group of students took a test and the following frequency table shows the scores above
The mean score is

A. 1.75

B. 2

C. 2.5

D. 2.75

E. 3

Detailed Solution

\(\bar{x} = \frac{\sum fx}{\sum f}\)
= \(\frac{55}{20}\)
= \(2.75\)
7.

A group of students took a test and the following frequency table shows the scores above
The median score is

A. 0

B. 2.5

C. 3

D. 5

E. 7

Detailed Solution

There are 20 students. Hence, the median is found by the average of the 10th and 11th score.
= \(\frac{3 + 3}{2}\)
= 3
8.

If cos 60° = 1/2, which of the following angle has cosine of -1/2?

A. 30o

B. 120o

C. 150o

D. 210o

E. 300o

Detailed Solution

cos 60° = 1/2, cos(180° - 60°) = -1/2

cos120° = -1/2
9.

In the diagram above, find the ratio |PQ|/|PR|

A. 2 : 5

B. 3 : 5

C. 2 : 3

D. 3 : 2

E. 5 : 3

B

10.

A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ground. calculate correct to one decimal place, how far the foot of the ladder is from the wall.

A. 4.0m

B. 5.8m

C. 7.1m

D. 8.1m

E. 18.5m

Detailed Solution

cos 64° = x/9
x = 9 cos 64°
=3.94 ≅ 4.0m
1.

Evaluate (101.5)2 - (100.5)2

A. 1

B. 2.02

C. 20.02

D. 202

E. 2020

Detailed Solution

(101.5)2 - (100.5)2;(101.5 + 100.5)

202 x 1

= 202
2.

Express the product of 0.06 and 0.09 in standard form

A. 5.4 * 10-1

B. 5.4*10-2

C. 5.4*10-3

D. 5.4*102

E. 5.4*103

Detailed Solution

0.06 x 0.09 = 0.0054

= 5.4 x 10-3
3.

Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)

A. 0

B. 1\24

C. 2/3

D. 11/2

E. 71/2

Detailed Solution

36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)
= \(6 \times \frac{1}{4} \times 1\)
= \(1\frac{1}{2}\)
4.

Find the 8th term of the A.P -3, -1, 1 ......

A. 13

B. 11

C. -8

D. -11

E. -17

Detailed Solution

Un = a + (n-1)d
     = -3 + (8 - 1)2
     = 11
5.

A group of students took a test and the following frequency table shows the scores above
Find the mode

A. 2

B. 3

C. 4

D. 5

E. 7

Detailed Solution

The mode=4. It has the highest frequency of 7
6.

A group of students took a test and the following frequency table shows the scores above
The mean score is

A. 1.75

B. 2

C. 2.5

D. 2.75

E. 3

Detailed Solution

\(\bar{x} = \frac{\sum fx}{\sum f}\)
= \(\frac{55}{20}\)
= \(2.75\)
7.

A group of students took a test and the following frequency table shows the scores above
The median score is

A. 0

B. 2.5

C. 3

D. 5

E. 7

Detailed Solution

There are 20 students. Hence, the median is found by the average of the 10th and 11th score.
= \(\frac{3 + 3}{2}\)
= 3
8.

If cos 60° = 1/2, which of the following angle has cosine of -1/2?

A. 30o

B. 120o

C. 150o

D. 210o

E. 300o

Detailed Solution

cos 60° = 1/2, cos(180° - 60°) = -1/2

cos120° = -1/2
9.

In the diagram above, find the ratio |PQ|/|PR|

A. 2 : 5

B. 3 : 5

C. 2 : 3

D. 3 : 2

E. 5 : 3

B

10.

A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ground. calculate correct to one decimal place, how far the foot of the ladder is from the wall.

A. 4.0m

B. 5.8m

C. 7.1m

D. 8.1m

E. 18.5m

Detailed Solution

cos 64° = x/9
x = 9 cos 64°
=3.94 ≅ 4.0m