A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.

• A. 9.0 m
• B. 12. 0 m
• C. 8.8 m
• D. 10.4 m

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

• A. 105
• B. 100
• C. 95
• D. 110

A solid hemisphere has a radius of 7 cm. Find the total surface area.

• A. 400 cm²
• B. 462 cm²
• C. 66 cm²
• D. 308 cm²

The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?

• A. 2/3
• B. 4/9
• C. 8/27
• D. 1/27

A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?

• A. 60
• B. 50
• C. 45
• D. 36

Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0

• A. -4
• B. 4
• C. 8
• D. -8

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

• A. 95
• B. 80
• C. 125
• D. 110

Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

• A. 3
• B. 4
• C. 1
• D. 2

A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

• A. 4π cm²
• B. 32 π cm²
• C. 16 π cm²
• D. 8 π cm²

Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8

• A. 13/6
• B. 5/2
• C. 7/6
• D. 7/3