Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles

• A. I and II only
• B. III only
• C. II only
• D. II and III only

Calculate, correct to one decimal place, the acute angle between the lines 3x - 4y + 5 = 0 and 2x + 3y - 1 = 0.

• A. 70.6°
• B. 50.2°
• C. 39.8°
• D. 19.4°

A body of mass of 18kg is suspended by an inextensible string from a rigid support and is pulled by a horizontal force F until the angle of inclination of the string to the vertical is 35º. If the system is in equilibrium, calculate the:

i. value of F

ii. tension in the string

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

• A. 60
• B. 120
• C. 180
• D. 30

Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm

• A. 25 πcm²
• B. 65 πcm²
• C. 120 πcm²
• D. 156 πcm²

Which of the following equations has its roots as 4 and -5?

• A. x² + 4x - 20 = 0
• B. x² + x + 20 = 0
• C. x² - x + 20 = 0
• D. x² + x - 20 = 0

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

• A. 60cm²
• B. 50cm²
• C. 40cm²
• D. 30cm²

In what interval is the function f : x -> 2x - x\(^2\) increasing?

• A. x = 1
• B. x< 1
• C. x > 1
• D. 0< x< 1

If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate

• A. N2,500.00
• B. N2,600.00
• C. N4,500.00
• D. N4,600.00

If y = 23₅ + 101₃ , find y, leaving your answer in base two

• A. 1110
• B. 10111
• C. 11101
• D. 111100