1.In a class, 37 students take at least one of chemistry, economics and government, 8 students take chemistry, 19 take economics and 25 take government. 12 students take economics and government but nobody takes chemistry and economics. How many students take both chemistry and government?.
2.A businessman invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of N11,600 as dividends, how much did he invest at 7%?
- A. N160,000
- B. N140,000
- C. N120,000
- D. N80,000
3.A cyclist rode for 30minutes at xkm/hr. If the total distance covered is less than 60km, what is the range of values of x?
- A. x<14
- B. x<20
- C. x<29
- D. x<28
4.Factorize 16(3x+2y)² – 25(a+2b)²
- A. (12x+8y+5a+10b) (12x+8y-5a-10b)
- B. (12x+8y-5a-10b) (12x+8y-5a-10b)
- C. 20(3x+2y-a-2b) (3x+2y+a+2b)
- D. 20(3x+2y+a+2b) (3x+2y+a+2b)
5.A cone has a base radius 4cm and height 3cm. The area of its curved surface is
- A. 12ᴫcm²
- B. 24 ᴫcm²
- C. 20 ᴫcm²
- D. 15 ᴫcm²
6.Expand the expression (x²-2x-3)(x²+x+1)
- A. x⁴ – 4x² - 5x – 3
- B. –x³ – 4x² – 5x – 3
- C. x⁴ – x³ – 4x² – 5x – 3
- D. x⁴ - 4x² – 5x – 3.
7.A girl walks 30m from a point P on a bearing of 040⁰ to a point Q. She then walks 30m on a bearing of 140⁰ to a point R. the bearing of R from P is
8.A regular polygon has each of it angles as 160⁰. What is the number of sides of the polygon?
9.The interior angles of a pentagon are: 180⁰, 118⁰, 80⁰, 78⁰ and x. The value of x is:
- A. 75⁰
- B. 108⁰
- C. 120⁰
- D. 84⁰
10.All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65⁰. The angle subtended at the centre of the circle by the base of the triangle is:
- A. 130⁰
- B. 115⁰
- C. 100⁰
- D. 65⁰
11.A square tile measures 20cm by 20cm. How many of such files will cover a floor measuring 5m by 4m.
12.The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is:
13.A bearing of 310⁰, expressed as a compass bearing is:
- A. N50⁰W
- B. N40⁰W
- C. S40⁰W
- D. S50⁰W
14.The average of the three children in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family is:
- A. 20 years
- B. 21 years
- C. 24 years
- D. 27 years
15.A woman buys 4 bags of rice for ₦56 per bag and 3 bags of beans for ₦26 per bag using the currency 'NAIRA' (₦) in base 7. What is the total cost of the items in another currency 'ANTI' (₳) in base 8?
- A. ₳224
- B. ₳114
- C. ₳340
- D. ₳440
16.When the price of egg was raised by ₦2 an egg, the number of eggs which can be bought for ₦120 is reduced by ₦5. The present price of an egg is
17.How long will it take a sum of money invested at 8% simple interest to double the original sum?
- A. 8 years
- B. 10.5 years
- C. 12 years
- D. 12.5 years
18.The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in km/hr is
19.The smallest section of a rod which can be cut into exactly equal sections, each of either 30cm 0r 36cm in length is
- A. 90cm
- B. 180cm
- C. 360cm
- D. 540cm
20.If x = 0.0012 + 0.00074 + 0.003174, what is the difference between x and 2 decimal places and x to 1 significant figure?
- A. 0.01
- B. 0.0051
- C. 0.1
- D. 0.005