Mathematics Past Questions And Answers
A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.
- A. 6.29m
- B. 7.67m
- C. 7.18m
- D. 6.65m
A body is kept at rest by three forces \(F_{1} = (10N, 030°), F_{2} = (10N, 150°)\) and \(F_{3}\). Find \(F_{3}\).
- A. (12N, 090°)
- B. (10N, 270°)
- C. (10N, 180°)
- D. (10N, 120°)
Three observation posts P,Q and R are such that Q is due east of P and R is due north of Q. If |PQ| = 5km and |PR| = 10km, find |QR|
- A. 5.0km
- B. 7.5km
- C. 7.6km
- D. 8.7km
Find the greater number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- A. 4
- B. 7
- C. 9
- D. 13
If 6, P, and 14 are consecutive terms in an Arithmetic Progression (AP), find the value of P.
- A. 9
- B. 10
- C. 6
- D. 8
Differentiate (cos θ - sin θ)2
- A. -2 cos 2θ
- B. -2 sin2θ
- C. 1 - 2 cos 2θ
- D. 1 - 2 sin 2θ
The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22/7
- A. 2.6cm
- B. 3.5cm
- C. 3.6cm
- D. 7.0cm
Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)
- A. n - 5
- B. n - 3
- C. 2n - 1
- D. 2n - 3
If sec\(^2\)θ + tan\(^2\)θ = 3, then the angle θ is equal to?
- A. 90
- B. 30
- C. 45
- D. 60
Find the value of t in the diagram
- A. 63°
- B. 117°
- C. 126°
- D. 234°