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JAMB Mathematics Past Questions & Answers - Page 103

511.

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

3cm

4cm

5cm

6cm

View answer & explanation

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.

N676.50

N820

N1,640

N4,920

View answer & explanation

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?

10%

20%

50%

60%

View answer & explanation

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?

View answer & explanation

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.

91 cm²

78 cm²

60 cm²

19 cm²

View answer & explanation

Correct answer is C

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

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

= $60 cm^{2}$

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