An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)

A. 4.58 cm

B. 8.02 cm

C. 16.04 cm

D. 32.08 cm

E. 34 cm

If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}

A. 7

B. 8

C. 9

D. 13

E. 15

If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x

A. 75

B. 120

C. 165

D. 195

E. 240

Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square

A. 5

B. 3

C. \(\frac{5}{2}\)

D. \(\frac{5}{4}\)

E. \(\frac{1}{5}\)

The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.

A. 128.3m

B. 108.8m

C. 80.2m

D. 57.7m

E. 42.5m

If the volume of a cube is (8 x 103)cm\(^3\), what is the surface area the cube?

A. 2,400 cm\(^3\)

B. 1,600 cm\(^3\)

C. 120 cm\(^3\)

D. 24 cm\(^3\)

E. 16 cm\(^3\)

A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?

A. 169.00 cm

B. 144.00 cm

C. 25.00 cm

D. 17.69 cm

E. 10.00 cm

A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

A. N90.00

B. N80.000

C. N60,000

D. N40,000

E. N20,000

Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour

A. \(\frac{119}{144}\)

B. \(\frac{95}{144}\)

C. \(\frac{37}{72}\)

D. \(\frac{49}{144}\)

E. \(\frac{1}{6}\)

Simplify \(\sqrt{6a} \times \sqrt{576a^6}\)

A. ± 16a2

B. ± 16a

C. ± 14a2

D. ± 12a2

E. ± 12a