# Mathematics (2015) | Study Mode

Question 1
A
3%
B
1.00%
C
2.50%
D
5.40%
##### Explanation
Percentage birthrate = 1.0%

Question 2
A

1 $$\frac{3}{8}$$

B

2 $$\frac{3}{4}$$

C

4 $$\frac{3}{8}$$

D

3 $$\frac{1}{5}$$

##### Explanation

1 [ 2 ] of 28

Apply BODMAS rules

$$\frac{5}{4}$$ [ 2 $$\times$$ 28 ]

$$\frac{5}{4} \frac{2}{7}$$

$$\frac{5}{4} \times \frac{7}{2}$$

$$\frac{35}{8}$$

= $$4 \frac{3}{8}$$

Question 3
A

(x -5) 2

B

(x + 5)(x + 4)

C

(x + 5)(x + 3)

D

(x + 3) 2

##### Explanation

$$x^2 + 9x + 20$$

Find the two numbers whose product is 20 and its sum is 9}

$$5x \times 4x = 20x^2$$

$$5x + 4x = 9x$$

$$(x^2 + 5x) + (4x + 20)$$
$$x(x + 5)+ 4(x + 5) = (x + 5)(x + 4)$$

Question 4
A

N36,000

B

N44,000

C

N40,000

D

N15,000

Question 5
A

21

B

225

C

15

D

20

##### Explanation

n(X - Y) = nx + ny - n(xX - Y)

= 15 + 12 - 7

- n(X - Y) = 20

Question 6
A

(3, -9)

B

(-3, 9)

C

(-3, -9)

D

(-3, 0)

##### Explanation

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)

Question 7
A

log104

B

log1040

C

log10-40

D

log104-

##### Explanation

log101.5 + 3 log102 - log100.3

log101.5 + log1023 - log100.3

[log10(1.5 $$\times$$ 23) log100.3]

[log10(15/10 $$\times$$ 8 ) log10( 3/10)]

log10(15/10 $$\times$$ 8 $$\times$$ 10/3 )

log1040

Question 8
A

17.8cm2

B

15.8cm2

C

75.4cm2

D

54.7cm2

##### Explanation

The total surface area of a cylinder = 2rl + 2r2

= 2r(l + r)

= 2 $$\times$$ 3.14(7+%=5)

2 $$\times$$ 3.14 $$\times$$ 12

= 75.4cm (1DP)

Question 9
A

1

B

$$0$$

C

2

D

-1

Question 10
A

15

B

20

C

30

D

25

##### Explanation

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 $$\times$$ 600 = N30

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