21.The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the are of the circle is
- A. 1/4%
- B. 1/50%
- C. 2%
- D. 4%
22.A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo?
23.The expression a³ + b³ is equal to
- A. (a² + b)(a – ab – b²)
- B. (a + b)(a² – ab + b²)
- C. (a – b²)(a² – ab + b)
- D. (a – b)(a² + ab + b²)
24.A cylinder has height 4cm and base radius 5cm. its volume to 3 significant figure is
- A. 314.2 cm²
- B. 31.42 cm²
- C. 251.4 cm²
- D. 251 cm²
25.The difference of two numbers is 10, while their product is 39. Find these numbers
- A. -3 and 10 or 13 and 10
- B. 3 and -10 or 3 and 13
- C. 3 and -3 or 3 and 13
- D. -3 and -13 or 13 and 3
26.The average age of x pupils in a class is 14 years 2 months. A pupil of 15 years 2 months joins the class and the average age is increased by one month. Find x.
27.If the distance covered by a body in time t seconds is s = t³ – 6t² – 5t, what is its initial velocity?
- A. 0ms⁻¹
- B. -4ms⁻¹
- C. (3t – 12t – 5)ms⁻¹
- D. 5ms⁻¹
28.In a throw of a fair die the probability of obtaining an even number is
29.Two fair coins are tossed simultaneously. What is the probability of obtaining at least 1 tail turns up?
30.One angle of a polygon has each of its angles as 160⁰. What is the number of sides of the polygon?
31.One angle of an octagon is 100⁰ while the other sides are equal. Find each of these exterior angles.
32.In a right-angled triangle, tan Ө = 3/4 , what is the value of sinӨ + cosӨ ?
33.The coordinates of the point dividing the line AB (-1, 2) and B(3, 4) extremely in the ratio 3:2 is
- A. (11, 8)
- B. (8, 5)
- C. (5, 11)
- D. (5, 9)
34.The ends of a diameter of a circle are (-2, 3) and (4, 7). The equation of the circle is
- A. x² + y² – 2x -10y + 15 = 0
- B. x² + y² + 2x – 10y + 13 = 0
- C. x² + y² – 2x – 10y + 15 = 0
- D. x² + y² – 2x -10y -15 = 0.
35.The centre and radius of the circle with the equation x² + y² – 2x + 6y + 5 = 0 are respectively
- A. (1, 3) and 5
- B. (3, 1) and √5
- C. (1, -3) and √5
- D. (3, -1) and 5.
36.When the expression pm² + qm + 1 is divided by (m – 1), it has a remainder 4. Find p and q respectively
- A. 2, 1
- B. 2, -1
- C. -1, 2
- D. 1, 2
37.If α and β are the roots of the equation x² – 5x – 7 = 0. α²β + αβ² is
38.If α and β are the roots of the equation 2x² + 7x + 3 = 0. Obtain the equation whose roots are 1/α² and 1/β²
- A. 9x² – 37x + 4 = 0
- B. 4x² + 49x + 9 = 0
- C. 2x² – 7x + 3
- D. 3x² – 37x – 2 = 0
39.A girl has 98 beads, and all but 14 were lost. How many beads did she loose?