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.

1,566.

The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?

A.

17.5 - 20.5

B.

16.5 - 19.5

C.

15.5 - 19.5

D.

15.5 - 18.5

Correct answer is A

No explanation has been provided for this answer.

1,567.

If the diagram is the graph of y = x2, the shaded area is

A.

64 square units

B.

\(\frac{126}{4}\) square units

C.

32 square units

D.

\(\frac{64}{3}\) square units

Correct answer is D

A = \(\int^{x = 4}_{x = 0}\) ydx = \(\int^{4}_{0}\) x2dx = [\(\frac{x^3}{3} + c]^{4}_{0}\)

= \(\frac{64}{3}\) square units

1,568.

In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

A.

32cm

B.

26cm

C.

20cm

D.

16cm

Correct answer is B

\(\bigtriangleup\)OEN = \(\bigtriangleup\)OGN

OE = OG = r(radii)

(r - 8)2 + 122 = r2

r2 - 16r + 64 + 144 = r2

16r = 64 + 144 = r2

16r = 64 + 144 = 208

\(\frac{208}{16}\) = 13cm

FH = 2FO = 2OH = 2R

= 2 x 13cm

= 26cm

1,569.

In the diagram, If < RPS = 50o, < RPQ = 30o and pq = QR, Find the value of < prs

A.

50o

B.

60o

C.

70o

D.

80o

Correct answer is C

< QPR = < PRQ = 30o (PQ = QR)

< SPQ + < QRS = 180o (supplementary)

80 + < QRS = 180o = < QRS = 180o - 80o = 100o

< QRP + < PRS = 100o = 30o + < PRS = 100o

= < PRS = 100o - 30o = 70o

1,570.

The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?

A.

7

B.

8

C.

9

D.

12

Correct answer is A

degree of excellent in the pie-chart = 360o - (90o + 120o + 80o) = 360o - 290o = 70o

= 360o = 36 students

70 = \(\frac{70^o}{360^o}\) x 36 = 7