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JAMB Mathematics Past Questions & Answers - Page 111

551.

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.

552.

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

A.

64 square units

B.

1264 square units

C.

32 square units

D.

643 square units

Correct answer is D

A = x=4x=0 ydx = 40 x2dx = [x33+c]40

= 643 square units

553.

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

OEN = OGN

OE = OG = r(radii)

(r - 8)2 + 122 = r2

r2 - 16r + 64 + 144 = r2

16r = 64 + 144 = r2

16r = 64 + 144 = 208

20816 = 13cm

FH = 2FO = 2OH = 2R

= 2 x 13cm

= 26cm

554.

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

555.

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 = 70o360o x 36 = 7