The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm², find the length of the base.

• A. 24cm
• B. 36cm
• C. 72cm
• D. 144cm

Which of the following statements is true from the diagram below?

• A. m + n = 90°
• B. m = n
• C. n > 45°
• D. m < 45°

Water flows from a tap into cylindrical container at the rate 5πcm³ per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

• A. 2cm
• B. 5cm
• C. 8cm
• D. 15cm

A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?

• A. \(\frac{7}{25}\)
• B. \(\frac{41}{50}\)
• C. \(\frac{1}{2}\)
• D. 1

The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below

If he sends \(2\frac{1}{2}\) hours week on science, find the total number of hours he studies in a week

• A. \(3\frac{1}{3}\) hours
• B. 5 hours
• C. 8 hours
• D. 12 hours

Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above

• A. \(\frac{m}{2}-3\le 10\)
• B. \(\frac{m}{2}-3\ge 10\)
• C. \(\frac{m-3}{2}\ge10\)
• D. \(\frac{m-3}{2}\le10\)

Simplify log\(_7\) 8 - log\(_7\) 2 + log\(_7\) 4.

• A. 0
• B. \(2log_7 2\)
• C. \(3log_7 2\)
• D. \(4log_7 2\)

If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?

• A. x = -5
• B. x = 10
• C. x + 10 = 0
• D. bc = 750

(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.

(b) Using a scale of 2cm to 30° on the x- axis and 2 cm to 1 unit on the y- axis, draw the graph of \(y = 9 \cos x + 5 \sin x\) for \(0° \leq x \leq 210°\).

(c) Use your graph to solve the equation: (i) \(9\cos x + 5\sin x = 0\); (ii) \(9\cos x+ 5\sin x = 3.5\), correct to the nearest degree.

(d) Find the maximum value of y correct to one decimal place.

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

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