Euclidean Geometry - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 2013

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A. 66°
B. 12°
C. 30°
D. 42°

Question 27:

• JAMB 2013

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A. \(8\sqrt{3}\) cm
B. 4 cm
C. 8 cm
D. \(8\sqrt{2}\) cm

Question 28:

• JAMB 2013

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.

A. 32\(\pi\) cm\(^2\)
B. 4\(\pi\) cm\(^2\)
C. 8\(\pi\) cm\(^2\)
D. 16\(\pi\) cm\(^2\)

Question 29:

• JAMB 2013

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A. (8,6)
B. (5,6)
C. (0,4)
D. (6,5)

Question 30:

• JAMB 1978

If the four interior angles of a quadrilateral are (p + 10)o, (p - 30)o, (2p - 450o, and (p + 15)o, then p is

A. 125^o
B. 82^o
C. 135^o
D. 105^o
E. 60^o