In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.

A. 8m

B. 9m

C. 10m

D. 13m

A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is \(2\sqrt{3}\) cm. Calculate the volume of the pyramid

A. \(5\frac{1}{3}cm^3\)

B. \(10\frac{2}{3}cm^3\)

C. \(16cm^3\)

D. \(32cm^3\)

The height of a right circular cone is 4cm. The radius of its base is 3cm. Find the curved surface area

A. \(9\pi cm^2\)

B. \(15\pi cm^2\)

C. \(16\pi cm^2\)

D. \(20\pi cm^2\)

In the diagram above, ∠PQU=36°, ∠QRT = 29°, PQ||RT. Find ∠PQR

A. 94^o

B. 65^o

C. 61^o

D. 54^o

Simplify \(5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\)

A. \(1\frac{3}{4}\)

B. \(3\frac{1}{2}\)

C. \(4\frac{1}{2}\)

D. \(8\frac{1}{2}\)

Find the value of x in 0.5x + 2.6 = 5x + 0.35

A. 0.5

B. 2

C. 2.6

D. 5

Find the value of x in the diagram

A. 31^o

B. 35^o

C. 37^o

D. 41^o

If \(M5_{ten} = 1001011_{two}\) find the value of M

A. 5

B. 6

C. 7

D. 8

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.What is the value of y at Q?

A. \(6\frac{1}{3}\)

B. 6

C. 3

D. zero

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.When \(y = 3\frac{1}{3}\), what is the positive value of x?

A. \( 2\frac{1}{2}\)

B. \( 2\frac{1}{5}\)

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

D. zero