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JAMB Mathematics Past Questions & Answers - Page 102

506.

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much income tax expenses does he pay each year?

A.

15

B.

50

C.

70

D.

25

View answer & explanation

Correct answer is C

His annual salary = N2000 His allowances = N600 So his taxable income = Annual salary − allowance = N2000 − N600 = N1400 He pay at 5% Then, his allowance income tax 5/100 × 1400 = N70

507.

Simplify log₁₀1.5 + 3 log₁₀2 − log₁₀0.3

A.

log₁₀4

B.

log₁₀40

C.

log₁₀-40

D.

log₁₀4^-

View answer & explanation

Correct answer is B

log₁₀1.5 + 3 log₁₀2 − log₁₀0.3

log₁₀1.5 + log₁₀23 − log₁₀0.3

[log₁₀(1.5 × 23) ÷ log₁₀0.3]

[log₁₀(15/10 × 8 ) ÷ log₁₀( 3/10)]

log₁₀(15/10 × 8 × 10/3 )

log₁₀40

508.

Find the x and z intercepts of the graph of 3x - z $\leq$ 9

A.

(3, -9)

B.

(-3, 9)

C.

(-3, -9)

D.

(-3, 0)

View answer & explanation

Correct answer is A

Starting from 3x − z $\leq$ 9

x = 0, substitute the value of x (i.e. x = 0) into the equation 3x − z $\leq$ 9

3(0) − z $\leq$ 9

z $\leq$ − 9

If z = 0

Then, 3x − 0 $\leq$ 9

3x $\leq$ 9

x $\leq$ 3

Intercept of x and z i.e (x,z)

= (3, -9)

509.

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

A.

N36,000

B.

N44,000

C.

N40,000

D.

N15,000

View answer & explanation

Correct answer is C

Total of their ages: 18 + 20 + 22 = 60

The second staff will get $\frac{20}{60} \times 120,000$

= N40,000.00K

510.

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

A.

3%

B.

1.0%

C.

2.5%

D.

5.40%

View answer & explanation

Correct answer is B

Percentage birthrate = $\frac{62}{6250} \times 100%$

= $\frac{6200}{6250}$

= 0.992% $\approx$ 1.0%.

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