The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form
- A. 2.25 x 10-4m
- B. 50 x 10-4m
- C. 2.25 x 10-5m
- D. 4.50 x 10-5m
Find m such that (m + \(\sqrt{3}\))(1 – \(\sqrt{3}\))2 = 6 – 2\(\sqrt{2}\)
- A. 1
- B. 2
- C. 3
- D. 4
If \(log_{10} 2 = 0.3010\) and \(log_{10} 3 = 0.4771\), evaluate; without using logarithm tables, \(log_{10} 4.5\)
- A. 0.3010
- B. 0.4771
- C. 0.6532
- D. 0.9542
Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\)
- A. \(\frac{2}{5}\)
- B. \(\frac{5}{3}\)
- C. 3\(\sqrt{5}\)
- D. 3\(\sqrt{2}\)
A tax payer is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the remainder. If he pays N490.00 tax, what is his income?
- A. N560.00
- B. N2,450.00
- C. N2,800.00
- D. N3,920.00
A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket
- A. 1 : 1 : 1
- B. 4 : 2 : 1
- C. 5 : 1 : 1
- D. 4 : 1 : 1
Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo’s share to Kehinde’s is 11:9. Later, Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store.
- A. N1,080.00
- B. N2,400.00
- C. N3,000.00
- D. N3,600.00
A 5.0g of salt was weighted by Tunde as 5.1g. What is the percentage error?
- A. 20
- B. 2
- C. 1.1
- D. 0.2
Simplify \(\frac{1\frac{1}{2}}{2 \div \frac{1}{4} \text{of } 32}\)
- A. \(\frac{3}{256}\)
- B. \(\frac{3}{32}\)
- C. 6
- D. 85
For which of the following exterior angles is a regular polygon possible? i. 35° ii. 18° iii. 15°
- A. i and ii
- B. ii only
- C. ii and iii
- D. iii only
Four interior angles of a pentagon are 90o – xo, 90o + xo, 110o – 2xo, 110o + 2xo. Find the fifth interior angle
- A. 110o
- B. 120o
- C. 130o
- D. 140o
if x is the addition of the prime numbers between 1 and 6; and y the H.C.F. of 6, 9, 15. Find the product of x and y
- A. 27
- B. 30
- C. 33
- D. 90
\(\begin{array}{c|c} Scores(x) & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency(f) & 7 & 11 & 6 & 7 & 7 & 5 & 3\end{array}\)
In the distribution above, the mode and median respectively are
- A. 1,3
- B. 1, 2
- C. 3, 3
- D. 0, 2
In a class of 150 students, the sector in a pie chart representing the students offering Physics has angle 12o. How many students are offering Physics?
- A. 18
- B. 15
- C. 10
- D. 5
Find correct to one decimal place, 0.24633 \(\div\) 0.0306
- A. 0.8
- B. 1.8
- C. 8.0
- D. 8.1
If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression
- A. 182
- B. 91
- C. 63
- D. 28
If the sum of the 8th and 9th terms of an arithmetic progression is 72 and the 4th term is -6, find the common difference
- A. 4
- B. 8
- C. 6\(\frac{2}{3}\)
- D. 9\(\frac{1}{3}\)
The solutions of x2 – 2x – 1 = 0 are the points of intersection of two graphs. if one of the graphs is y = 2 + x – x2, find the second graph
- A. y = 1 - x
- B. y = 1 + x
- C. y = x - 1
- D. y = 3x + 3
For what values of x is the curve y = \(\frac{x^2 + 3}{x + 4}\) decreasing?
- A. -3 < x \(\leq\) 0
- B. -3 \(\geq\) x < 0
- C. 0 < x < 3
- D. 0 \(\leq\) x \(\leq\) 3
What is the solution of the equation x2 – x – 1 + 0?
- A. x = 1.6 and x = -0.6
- B. x = -1.6 and x = 0.6
- C. x = 1.6 and x = 0.6
- D. x = -1.6 and x = -0.6
Simplify \(\frac{x – y}{x^{\frac{1}{3}} – y^{\frac{1}{3}}}\)
- A. x2 + xy + y2
- B. x\(\frac{2}{3}\) + x \(\frac{1}{3}\) + y\(\frac{2}{3}\)
- C. x\(\frac{2}{3}\) - x\(\frac{1}{3}\)y\(\frac{2}{3}\)
- D. y\(\frac{2}{3}\)