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

Paper 1 | Objectives

51 - 60 of 63 Questions

# Question Ans
51.

Find the angle x in the diagram above

A. 310o

B. 230o

C. 190o

D. 130o

E. 100o

E

52.

The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x

A. \(y=\frac{x}{2}\)

B. \(y\frac{x}{\sqrt{2}}\)

C. \(y=\sqrt{x}\)

D. \(y=\sqrt{\frac{x}{2}}\)

Detailed Solution

diagonal of a square(x) = y√2
y in terms of x →
y = \(\frac{x}{√2}\)
53.

Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\)

A. \(22cm^2\)

B. \(44cm^2\)

C. \(66cm^2\)

D. \(132cm^2\)

E. \(198cm^2\)

Detailed Solution

Curved surface area of a cone \(= \pi rt\\
\frac{22}{7}\times 3\times 7 = 66cm^2\)
54.

In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35o. Find ∠QPR

A. 70o

B. 50o

C. 45o

D. 40o

E. 35o

D

55.

P varies inversely as Q. The table above shows the value of Q for some selected values of P
What is the missing value of Q in the table?

A. 4

B. 9

C. 15

D. 16

E. 144

D

56.

Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X

A. 30o

B. 40o

C. 60o

D. 80o

E. 120o

C

57.

Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)

A. 10

B. 20

C. 25

D. 50

Detailed Solution

\(\sqrt{20}\times (\sqrt{5})^3\\
2\sqrt{5}\times \sqrt{5}\times \sqrt{5}\times \sqrt{5}=2\times 5\times 5 = 50\)
58.

If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct

A. \((P\cap Q)^l={2, 3, 4, 13}\)

B. \(n(P\cup Q)=4\)

C. \(P\cup Q = \emptyset\)

D. \(P\cap Q = \emptyset\)

D

59.

It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2. \\If \hspace{1mm}1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P^2 find\hspace{1mm}P\)

A. 6

B. 7

C. 8

D. 9

Detailed Solution

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64
where 64 = 8^2
That is P is 8
60.

Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form

A. \(2\times 10^{-1}\)

B. \(2\times 10^{2}\)

C. \(2.972 \times 10^{1}\)

D. \(2.972 \times 10^{2}\)

C

51.

Find the angle x in the diagram above

A. 310o

B. 230o

C. 190o

D. 130o

E. 100o

E

52.

The diagonal and one side of a square are x and y units respectively. Find an expression for y in terms of x

A. \(y=\frac{x}{2}\)

B. \(y\frac{x}{\sqrt{2}}\)

C. \(y=\sqrt{x}\)

D. \(y=\sqrt{\frac{x}{2}}\)

Detailed Solution

diagonal of a square(x) = y√2
y in terms of x →
y = \(\frac{x}{√2}\)
53.

Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\)

A. \(22cm^2\)

B. \(44cm^2\)

C. \(66cm^2\)

D. \(132cm^2\)

E. \(198cm^2\)

Detailed Solution

Curved surface area of a cone \(= \pi rt\\
\frac{22}{7}\times 3\times 7 = 66cm^2\)
54.

In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35o. Find ∠QPR

A. 70o

B. 50o

C. 45o

D. 40o

E. 35o

D

55.

P varies inversely as Q. The table above shows the value of Q for some selected values of P
What is the missing value of Q in the table?

A. 4

B. 9

C. 15

D. 16

E. 144

D

56.

Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X

A. 30o

B. 40o

C. 60o

D. 80o

E. 120o

C

57.

Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)

A. 10

B. 20

C. 25

D. 50

Detailed Solution

\(\sqrt{20}\times (\sqrt{5})^3\\
2\sqrt{5}\times \sqrt{5}\times \sqrt{5}\times \sqrt{5}=2\times 5\times 5 = 50\)
58.

If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct

A. \((P\cap Q)^l={2, 3, 4, 13}\)

B. \(n(P\cup Q)=4\)

C. \(P\cup Q = \emptyset\)

D. \(P\cap Q = \emptyset\)

D

59.

It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2. \\If \hspace{1mm}1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P^2 find\hspace{1mm}P\)

A. 6

B. 7

C. 8

D. 9

Detailed Solution

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64
where 64 = 8^2
That is P is 8
60.

Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form

A. \(2\times 10^{-1}\)

B. \(2\times 10^{2}\)

C. \(2.972 \times 10^{1}\)

D. \(2.972 \times 10^{2}\)

C