Given that x2 + y2 + z2 = 194, calculate z if x = 7 and \(\sqrt{y}\) = 3
- A. \(\sqrt{10}\)
- B. 8
- C. 12.2
- D. 13.4
Simplify \(\frac{x}{x + y}\) + \(\frac{y}{x – y}\) – \(\frac{x^2}{x^2 – y^2}\)
- A. \(\frac{x}{x^2 - y^2}\)
- B. \(\frac{y^2}{x^2 - y^2}\)
- C. \(\frac{x^2}{x^2 - y^2}\)
- D. \(\frac{y}{x^2 - y^2}\)
A car painter charges N40.00 per day for himself and N10.00 per day for his assistant. if a fleet of cars were painted for N2000.00 and the painter worked 10days more than his assistant, how much did the assistant receive?
- A. N32.00
- B. N320.00
- C. N420.00
- D. N1680.00
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2; how wide is the lawn?
- A. 5cm
- B. 7m
- C. 12m
- D. 14m
Find the solution of the equation x – 8\(\sqrt{x}\) + 15 = 0
- A. 3, 5
- B. -3, -5
- C. 9, 25
- D. -9, 25
What must be added to 4x\(^2\) – 4 to make it a perfect square?
- A. \(\frac{-1}{x^2}\)
- B. \(\frac{1}{x^2}\)
- C. 1
- D. -1
If x + \(\frac{1}{x}\) = 4, find x2 + \(\frac{1}{x^2}\)
- A. 16
- B. 14
- C. 12
- D. 9
Divide x3 – 2×2 – 5x + 6 by (x – 1)
- A. x2 - x - 6
- B. x2 - 5x + 6
- C. x2 - 7x + 6
- D. x2 - 5x - 6
If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a – b)
- A. 3, -3
- B. 2, -2
- C. 1, -1
- D. 3, -1
Factorize 9(x + y)2 – 4(x – y)2
- A. (x + y)(5x + y)
- B. (x + y)2
- C. (x + 5y)(5x + y)
- D. 5(x + y)2
If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab2 – bc2)(a2c – abc)
- A. 2
- B. -28
- C. -30
- D. -34
Simplify (\(\frac{1}{x^{-1}} \div \frac{1}{y^{-1}}\))-1
- A. \(\frac{y}{x}\)
- B. xy
- C. \(\frac{x}{y}\)
- D. (xy)-1
Simplify 3 log69 + log612 + log664 – log672
- A. 5
- B. 7776
- C. log631
- D. (7776)6
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
- A. 4\(\sqrt{3}\)
- B. \(\frac{4}{\sqrt{3}}\)
- C. 3\(\sqrt{3}\)
- D. \(\frac{\sqrt{3}}{4}\)
Simplify \(\sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r^8}}}\)
- A. 9r2
- B. 12\(\sqrt{3r}\)
- C. 13r
- D. \(\sqrt{13r}\)
Three brothers in a business deal share the profit at the end of a contact. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
- A. N60 000.00
- B. N54 000.00
- C. N48 000.00
- D. N42 000.00
Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
- A. 8.8 x 10-1
- B. 8.8 x 10-2
- C. 8.8 x 10-3
- D. 8.8 x 103
Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?
- A. \(\frac{3}{16}\)
- B. \(\frac{7}{16}\)
- C. \(\frac{9}{16}\)
- D. \(\frac{13}{16}\)
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
- A. \(\frac{1}{2}\)%
- B. 2\(\frac{1}{2}\)%
- C. 1.5%
- D. 25%
Correct 241.34(3 x 10-\(^3\))\(^2\) to 4 significant figures
- A. 0.0014
- B. 0.001448
- C. 0.0022
- D. 0.002172