WAEC Mathematics Past Questions & Answers - Page 46

226.

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\)  = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)). 

A.

{4, 6, 8, 10}

B.

{1. 4, 6, 8, 10}

C.

{1, 2, 4, 6, 8, 10}

D.

{1, 2, 3, 5, 7, 8, 9}

Correct answer is A

T = {2, 3, 5, 7}

M = {1, 3, 5, 7, 9}

\(\mu\) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} 

T\(^{\prime}\) = = {1, 4, 6, 8, 9, 10} 

M\(^{\prime}\) = {2, 4, 6, 8, 10} 

(T\(^{\prime}\) \(\cap\) M\(^{\prime}\)) = {4, 6, 8, 10}

227.

Marks 0 1 2 3 4 5
Frequency 7 4 18 12 8 11

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution

A.

4

B.

3

C.

1

D.

2

Correct answer is B

Median is \(\frac{n}{2} = \frac{6}{2}\)

= 3

Median = 3

228.

Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)

A.

(a + 1)(a + 5)

B.

(a - 5)(7a - 1)

C.

(a + 5)(7a + 1)

D.

a(7a + 1)

Correct answer is C

[(4a + 3) \(^2\) - (3a - 2)\(^2\) = a\(^2\) - b\(^2\) = (a + b) (a - b) 

= [(4a + 3) + (3a - 2)] [(4a + 3) - (3a - 2)]

= [4a + 3 + 3a - 2] [4a + 3 - 3a + 2]

= (7a + 1)(a + 5)

(a + 5) (7a + 1) 

229.

The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

How much did he spend on food items?

A.

N9,700.00

B.

N6,700.00

C.

N2,000.00

D.

N4,000.00

E.

N2,300.00

Correct answer is E

Degree for food items = 360° - (120° + 80° + 43° + 30° + 18°)

= 360° - 291°

= 69°

∴∴ Amount spent on food items = \(\frac{69}{360}\)×12,000.00

= N2300.00

230.

In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR

A.

24\(^o\)

B.

42\(^o\)

C.

48\(^o\)

D.

66\(^o\)

Correct answer is A

RSP = 90 < substance in semi a circle

RPS = 180 - (90 + 24)

= 180 - (114)

= 66

TPS = 180 - 66

= 114

RST = 24

< STR = 180 - (114 + 24)

= 180 - 138

= 42\(^o\)