If log102 = x, express log1012.5 in terms of x
- A. 2(1 + x)
- B. 2 + 3x
- C. 2(1 - x)
- D. 2 - 3x
Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)
- A. \(\frac{4}{5}\)
- B. \(\frac{7}{10}\)
- C. \(\frac{6}{6}\)
- D. \(\frac{21}{6}\)
Find the value of x for which 2(32x-1) = 162
- A. 5/2
- B. 3/2
- C. 2/5
- D. 1/2
Evaluate \(\frac{(0.5652)^2 – (0.4375)^2}{0.04}\) correct to three significant figures
- A. 3.11
- B. 3.13
- C. 0.313
- D. 3.12
Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)
- A. 5
- B. 1
- C. 7
- D. 3
Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+……\)
- A. 1
- B. 2
- C. 8
- D. 4
The nth term of the sequence \(\frac{3}{2}\), 3, 7, 16, 35, 74 ….. is
- A. 5 . 2n-2 - n
- B. 5 . 2n-2 - \(\frac{(n+1)}{2}\)
- C. 3 . 2n-2
- D. \(\frac{3n}{2}\)
A binary operation ฮ is defined by aฮb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation ฮ, if the identity element is -1
- A. -7
- B. -9
- C. 5
- D. 9
W โ L2 and W = 6 when L = 4. If L = โ17 find W
- A. 67/8
- B. 65/8
- C. 63/8
- D. 61/8
Solve the inequalities -3(x – 2) < -2(x + 3)
- A. x > 12
- B. x < 12
- C. x > -12
- D. x < - 12
Factorize 2t2 + t – 15
- A. (2t - 3)(t + 5)
- B. (t + 3)(2t - 5)
- C. (t + 3)(t - 5)
- D. (2t + 3)(t - 5)
The solution of the quadratic inequality (x\(^2\) + x – 12) โฅ 0 is
- A. x โฅ -3 or x โค 4
- B. x โฅ 3 or x โฅ -4
- C. x โค 3 or x \(\leq\) -4
- D. x โฅ 3 or x โค -4
Make L the subjects of the formula if d = \(\sqrt{\frac{42w}{5l}}\)
- A. \(\sqrt{\frac{42w}{5d}}\)
- B. \(\frac{42W}{5d^2}\)
- C. \(\frac{42}{5dW}\)
- D. \(\frac{1}{d}\sqrt{\frac{42w}{5}}\)
The graph above is represented by
- A. y = x3 - 3x - 2
- B. y = x3 + 2x2 - x - 2
- C. y = x3 - 4x2 + 5x - 2
- D. y = x3 - 4x + 2
A binary operation โ on real numbers is defined by xโy = xy + x + y for any two real numbers x and y. The value of (-3/4)โ6 is
- A. 3/4
- B. -9/2
- C. 45/4
- D. -3/4
Determine the value of \(\int_0 ^{\frac{\pi}{2}
}(-2cos x)dx\)
- A. -2
- B. -1/2
- C. -3
- D. -3/2
Find the value of x for which the function f(x) = 2x\(^3\) – x\(^2\) – 4x + 4 has a maximum value
- A. 2/3
- B. 1
- C. - 2/3
- D. - 1
If y = x cos x, find dy/dx
- A. sin x - x cos x
- B. sin x + x cos x
- C. cos x + x sin x
- D. cos x - x sin x
Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x
- A. \(\frac{x^2}{2}-2\sqrt{x}+K\)
- B. \(\frac{2(x^2 - x)}{3x}+K\)
- C. \(\frac{x^2}{2}-\sqrt{x}+K\)
- D. \(\frac{(x^2 - x)}{3x}+K\)
In how many ways can 6 subjects be selected from 10 subjects for an examination
- A. 218
- B. 216
- C. 215
- D. 210