Mathematics Past Questions And Answers
If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)
- A. {0, 2, 6}
- B. {1, 3}
- C. {0, 6)
- D. {9}
If p = {1, 3, 5, 7, 9} and Q = {2, 4, 6, 8, 10} are subsets of a universal set. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. What are the elements of PI \(\cap\) QI?
- A. {1, 3, 5, 7, 9}
- B. [2, 4, 6, 8, 10}
- C. \(\varnothing\)
- D. {1, 2, 6, 8, 10}
Evaluate 3(x + 2) > 6(x + 3)
- A. x< 4
- B. x > -4
- C. x< -4
- D. x > 4
A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?
- A. 82.5%
- B. 15%
- C. 17.5%
- D. 85%
Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
- A. 12π
- B. 4π
- C. 24π
- D. 8π
Solve the simultaneous equations y = 3x; 4y - 5x =14
- A. -2,-6
- B. 2,6
- C. 2,-6
- D. -2,6
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
- A. \(\frac{|PN|}{|PR|}\)
- B. \(\frac{|PM|}{|PQ|}\)
- C. \(\frac{|PM|}{|PR|}\)
- D. \(\frac{|PR|}{|PQ|}\)
The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constant. If \(\alpha^{2} + \beta^{2} = -1\), find the values of k.
- A. \(\pm 16\)
- B. \(\pm 8\)
- C. \(\pm 4\)
- D. \(\pm 2\)
If \(\sqrt{x^2 + 9}\) = x + 1, solve for x
- A. 5
- B. 4
- C. 3
- D. 2
(a) Evaluate : \(2 \div (\frac{64}{125})^{-\frac{2}{3}}\)
(b) The lines \(y = 3x + 5\) and \(y = - 4x - 1\) intersect at a point k. Find the coordinates of k.
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