JAMB Mathematics Past Questions & Answers - Page 103

511.

In the diagram |XY| = 12cm, |XZ| = 9cm, |ZN| = 3cm and ZY||NM, calculate |MY|

A.

3cm

B.

4cm

C.

5cm

D.

6cm

Correct answer is B

\(\frac{|YM|}{|YX|} = \frac{|ZM|}{|ZX|}\)

\(\frac{|YM|}{12} = \frac{3}{9}\)

|YM| = 3 x \(\frac{12}{9}\)

|MY| = 4cm

512.

If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) years is N123, find the principal.

A.

N676.50

B.

N820

C.

N1,640

D.

N4,920

Correct answer is C

I = N123; R = 3%' T = 2\(\frac{1}{2}\) yrs; P = \(\frac{100 \times 1}{RT}\)

P = \(\frac{100 \times 123}{3 \times 2.5}\)

principal(P) = N1640

513.

The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?

A.

10%

B.

20%

C.

50%

D.

60%

Correct answer is C

Number that score less than 5: 5 + 6 + 4 + 3 + 2 = 20

Total number of students: 5 + 6 + 4 + 3 + 2 + 4 + 6 + 5 + 1 + 3 + 1 = 40.

%age of students that failed: \(\frac{20}{40} \times 100% = 50%\)

514.

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

A.

12

B.

9

C.

8

D.

7

Correct answer is D

Excellent = 360° - (120° + 90° + 80°)

= 70°

Number of excellent students = \(\frac{70}{360} \times 36\)

= 7 students

515.

Find the area of the trapezium above.

A.

91 cm2

B.

78 cm2

C.

60 cm2

D.

19 cm2

Correct answer is C

Area of trapezium = \(\frac{1}{2} (a + b) \times h\)

= \(\frac{1}{2} (7 + 13) \times 6\)

= \(60 cm^{2}\)