JAMB Mathematics Past Questions & Answers - Page 113

561.

In the diagram above, O is the centre of the circle, If < UOT = 70o and < RST = 100o. Calculate < RUO

A.

20o

B.

25o

C.

50o

D.

80o

Correct answer is B

< OUT = < OTU

< OUT = \(\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o\)

< RUT = 180o - 100o = 80o

< RUO = < RUT - < OUT

= 80o - 55o

= 25o

562.

in the diagram above, calculate the value of x.

A.

60o

B.

100o

C.

120o

D.

140o

Correct answer is C

No explanation has been provided for this answer.

563.

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0.

A.

x \(\geq\) 2

B.

0 \(\geq\) x \(\geq\) 2

C.

-2 \(\geq\) x \(\geq\) 0, x \(\leq\) 2

D.

x \(\geq\) -2, 0 \(\geq\) x \(\geq\) 2

Correct answer is C

No explanation has been provided for this answer.

564.

The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?

A.

68%

B.

28%

C.

17%

D.

8%

Correct answer is B

\(\begin{array}{c|c} \text{class-marks(x)} & \text{(freq. (f)} & \text{cum. freq.}\\\hline 9 & &3.....3\\14 & & 6....3 + 6 = 9\\ 19 & & 9.....9 + 9 = 18\\ 24 & & 3.....18 + 3 = 21\\ 29 & & 2.....21 + 2 = 23\\ 34 & & 2.....23 + 2 = 25\\ & & 25\end{array}\)
% of students scoring more than 20 marks

= \(\frac{7}{25}\) x 100% = 28%

565.

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A.

20

B.

21

C.

15

D.

18

Correct answer is A

\(\begin{array}{c|c} \text{Age in years} & 10 & 20 & 30 & 40 & 50 \\\hline \text{frequency} & 3 & 4 & 5 & 6 & 2\end{array}\)

\(\sum f \) = number of people involved in the pollution

\(\sum f\) = 3 + 4 + 5 + 6 + 2 = 20