Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

341.

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n

A.

40\(^o\)

B.

55\(^o\)

C.

75\(^o\)

D.

130\(^o\)

Correct answer is C

E\(G\)R = 50\(^o\)  (Alternative angles) 

n + 55\(^o\) + 50\(^o\) = 180\(^o\)  (Sum of angles on a straight line) 

n = 180\(^o\) - 105\(^o\)

n = 75\(^o\)

342.

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of m.

A.

130\(^o\)

B.

105\(^o\)

C.

75\(^o\)

D.

55\(^o\)

Correct answer is D

50\(^o\) + m = 105\(^o\) (exterior angle of \(\triangle\) 

m = 105\(^o\) - 50\(^o\) 

m = 55\(^o\)

343.

The fourth term of an Arithmetic Progression (A.P) is 37 and the first term is -20. Find the common difference.

A.

3

B.

57

C.

19

D.

17

Correct answer is C

a + 3d = 37

-20 + 3d = 37 

3d = 37 + 20 = 57

d = \(\frac{57}{3}\) 

= 19

344.

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x.  Calculate the variance of 2, 4, 7, 8 and 9 

A.

7.2

B.

6.8

C.

3.5

D.

2.6

Correct answer is B

x

2

4

7

8

9

(\(\bar{x} - \bar{x}\))

-4

-2

1

2

4

 

(\(\bar{x} - \bar{x})^2\)

16

4

1

4

9

_________

\(\sum (x - x)^2\) = 34

 

\(\bar{x} = \frac{2 + 4 + 7 + 8 + 9}{5} = 6

variance = \(\frac{34}{5}\)

= 6.8

345.

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.

A.

70\(^o\)

B.

58\(^o\)

C.

55\(^o\)

D.

48\(^o\)

Correct answer is B

x = 180\(^o\) - (52\(^o\) + 70\(^o\))

= 180\(o\) - 122\(^o\)

= 58\(^o\)