Differentiate (x² -¹/_x)² with respect to x

• A. 4x² - 4x -²/_x
• B. 4x² - 2 +²/_x³
• C. 4x² - 2 -²/_x³
• D. 4x² - 3x +²/_x

Factorize the expression 2y² + xy - 3x²

• A. 2y (y + x) - 3x²
• B. (2y - x)(2y + x)
• C. (3x - 2y(x - y)
• D. (2y + 3x)(y - x)

In the figure, YXZ = 30^o, XYZ = 105^o and XY = 8cm. Calculate YZ

• A. 16\(\sqrt{2}\)cm
• B. 8\(\sqrt{2}\)cm
• C. 4\(\sqrt{2}\)cm
• D. 22cm

The graph of 2y = 5x² - 3x² - 2 cuts the y axis at the point

• A. (1,0)
• B. (-2/5, 0)
• C. (0, -1)
• D. (0, -2)

If tan θ =⁵/₄, find sin²Î¸ - cos²Î¸

• A.⁵/₄
• B.⁴¹/₉
• C.⁹/₄₁
• D. 1

(a) Copy and complete the following table of values for the relation \(y = 2x^{2} - 7x - 3\).

(b) Using 2 cm to 1 unit on the x- axis and 2 cm to 5 units on the y- axis, draw the graph of \(y = 2x^{2} - 7x - 3\) for \(-2 \leq x \leq 5\).

(c) From your graph, find the : (i) minimum value of y ;

(ii) gradient of the curve at x = 1.

(d) By drawing a suitable straight line, find the values of x for which \(2x^{2} - 7x - 5 = x + 4\).

Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)

• A. 10
• B. 20
• C. 25
• D. 50

A cylinder pipe, made of metal is 3cm thick. If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

• A. 153πcm³
• B. 207πcm³
• C. 15 300πcm³
• D. 20 700πcm³

A fair coin is tossed three times. Find the probability of getting two heads and one tail.

• A. \(\frac{1}{2}\)
• B. \(\frac{3}{8}\)
• C. \(\frac{1}{4}\)
• D. \(\frac{1}{8}\)

a student blows a balloon and its volume increases at a rate of \(\pi\)(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds

• A. 37.00π
• B. 37.33π
• C. 40.00π
• D. 42.67π