Simplify \(3\sqrt{12} + 10\sqrt{3} – \frac{6}{\sqrt{3}}\)
- A. 10\(\sqrt{3}\)
- B. 18\(\sqrt{3}\)
- C. 14\(\sqrt{3}\)
- D. 7\(\sqrt{3}\)
In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.
- A. \(58^0\)
- B. \(64^0\)
- C. \(48^0\)
- D. \(76^0\)
One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.
- A. 22 and 14
- B. 20 and 16
- C. 21 and 15
- D. 23 and 13
The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.
- A. 147.78m
- B. 104.05m
- C. 161.87m
- D. 192.91m
Mr Manu is 4 times as old as his son, Adu. 7 years ago the sum of their ages was 76. How old is Adu?
- A. 22years
- B. 12years
- C. 18years
- D. 15 years
There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the 2 subjects. How many student study woodwork but not metal work?
- A. 13
- B. 11
- C. 5
- D. 9
The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.
\((Take \pi = \frac{22}{7})\)
- A. \(11.6cm^2\)
- B. \(12.7cm^2\)
- C. \(10.2cm^2\)
- D. \(9.4cm^2\)
In the diagram, O is the center of the circle QRS and ∠SQR = 28°. Find ∠ORS.
- A. \(56^0\)
- B. \(28^0\)
- C. \(76^0\)
- D. \(62^0\)
It takes 12 men 8 hours a day to finish a piece of work in 4 days. In how many days will it take 4 men working 16 hours a day to complete the same piece of work?
- A. 6 days
- B. 8 days
- C. 10 days
- D. 12 days
200 tickets were sold for a show. VIP tickets costs ₦1,200 and ₦700 for regular. Total amount realised from the sale of the tickets was ₦180,000. Find the number of VIP tickets sold and the the number of regular ticket sold.
- A. VIP = 80, Regular = 100
- B. VIP = 60, Regular = 120
- C. VIP = 60, Regular = 100
- D. VIP = 80, Regular = 120
Give the number of significant figures of the population of a town which has approximately 5,020,700 people
- A. 7 significant figures
- B. 3 significant figures
- C. 4 significant figures
- D. 5 significant figures
A circle has a radius of 13 cm with a chord 12 cm away from the centre of the circle. Calculate the length of the chord.
- A. 16 cm
- B. 8 cm
- C. 5 cm
- D. 10 cm
Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for \(0^o ≤ θ ≤ 360^o\)
- A. θ = 223\(^o\), 305\(^o\)
- B. θ = 210\(^o\), 330\(^o\)
- C. θ = 185\(^o\), 345\(^o\)
- D. θ = 218\(^o\), 323\(^o\)
A ship sets sail from port A (86\(^o\)N, 56\(^o\)W) for port B (86\(^o\)N, 64\(^o\)W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km.
[Take \(\pi\) = 3.142 and R = 6370 km]
- A. 62 km
- B. 97 km
- C. 389 km
- D. 931 km
The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.
- A. 2 - \(\sqrt2\)
- B. -4 + 3\(\sqrt2\)
- C. It cannot be determined
- D. -2 + 2\(\sqrt2\) m
A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.
- A. 270 km
- B. 200 km
- C. 360 km
- D. 450 km
PQRS is a cyclic quadrilateral. Find \(x\) + \(y\)
- A. 50
- B. 60
- C. 15
- D. 0
The area of a trapezium is 200 cm\(^2\). Its parallel sides are in the ratio 2 : 3 and the perpendicular distance between them is 16 cm. Find the length of each of the parallel sides.
- A. 10 cm and 15 cm
- B. 8 cm and 12 cm
- C. 6 cm and 9 cm
- D. 12 cm and 18 cm
Study the given histogram above and answer the question that follows.
What is the total number of students that scored at most 50 marks?
- A. 380
- B. 340
- C. 360
- D. 240
Find the volume of a cone which has a base radius of 5 cm and slant height of 13 cm.
- A. \(300\pi\) cm\(^3\)
- B. \(325\pi\) cm\(^3\)
- C. \(\frac{325}{3}\pi\) cm\(^3\)
- D. \(100\pi\) cm\(^3\)