Mathematics Past Questions and Answers

Which of the following gives the point of intersection of the graph y = x² and y = x + 6 shown above?

A (0,6), (3,9)
B (-3, 0)(2,4)
C (-2,4)(3,9)
D (-2,3)(-3,2)
E (-2,2)(3,6)

Question 92:

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A 11.25cm²
B 12.83cm²
C 22.0cm²
D 67.2cm²
E 90.2cm²

Question 93:

If logax = p, express x in terms of a and p

A X = u + p
B X = a/p
C X = p
D X = ap
E X = a^p

Question 94:

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70^o at the center of the circle radius 4cm. [Take π = 22/7]

A 2.44cm
B 4.89cm
C 9.78cm
D 25.1cm
E 50.3cm

Question 95:

In the diagram above, O is the center of the circle. If ∠POR = 114^o, calculate ∠PQR

A 123^o
B 118.5^o
C 117^o
D 114^o
E 54^o