Mathematics Past Questions and Answers

If three angles of a quadrilateral are (3y - x - z)^o, 3x^o, (2z - 2y - x)^o find the fourth angle in terms of x, y and z

A (360 - x- y - z)^o
B (360 + x + y - z)^o
C (180 - x + y + z)^o
D (180 - x + y + z)^o

Question 27:

An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is

A 11 520cm³
B 36 000cm³
C 38 200cm³
D 47 520cm³

Question 28:

Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45^o

A 2\(\pi\)
B 8 + 2\(\pi\)
C 16 + 2\(\pi\)
D 16 + 16\(\pi\)

Question 29:

What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90^o?

A The perpendicular bisector of XY
B A right-angled triangle
C A circle
D A semi circle

Question 30:

If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q

A P = 2, q = 4
B P = 3, q = 1
C P = 5, q = 3
D P = 6, q = 2