A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?
- A. 4√6 cm
- B. 3√6 cm
- C. 6√6 cm
- D. 2√6 cm
What is the size of each interior angle of a 12-sided regular polygon?
- A. 120o
- B. 150o
- C. 30o
- D. 180o
The inverse of matrix N = \(\begin{vmatrix} 2 & 3 \\
1 & 4\end{vmatrix}\) is
- A. \(\frac{1}{5}\) \(\begin{vmatrix} 2 & 1 \\ 3 & 4\end{vmatrix}\)
- B. \(\frac{1}{5}\) \(\begin{vmatrix} 4 & -3 \\ -1 & 2\end{vmatrix}\)
- C. \(\frac{1}{5}\) \(\begin{vmatrix} 2 & -1 \\ -3 & 4\end{vmatrix}\)
- D. \(\frac{1}{5}\) \(\begin{vmatrix} 4 & 3 \\ 1 & 2\end{vmatrix}\)
Evaluate \(\begin{vmatrix} 4 & 2 & -1 \\ 2 & 3 & -1 \\ -1 & 1 & 3 \end{vmatrix}\)
- A. 25
- B. 45
- C. 15
- D. 55
If \(\begin{vmatrix} 2 & 3 \\ 5 & 3x \end{vmatrix}\) = \(\begin{vmatrix} 4 & 1 \\ 3 & 2x \end{vmatrix}\), find the value of x.
- A. -6
- B. 6
- C. -12
- D. 12
A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) – \(\frac{2}{3}\).
- A. - \(\frac{1}{2}\)
- B. \(\frac{1}{3}\)
- C. -1
- D. 2
The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms
- A. 60
- B. 62
- C. 54
- D. 64
Find the sum of the first 18 terms of the series 3, 6, 9,…, 36.
- A. 505
- B. 513
- C. 433
- D. 635
Solve the inequality x2 + 2x > 15.
- A. x < -3 or x > 5
- B. -5 < x < 3
- C. x < 3 or x > 5
- D. x > 3 or x < -5
Solve the inequality -6(x + 3) \(\leq\) 4(x – 2)
- A. x \(\leq\) 2
- B. x \(\geq\) -1
- C. x \(\geq\) -2
- D. x \(\leq\) -1
T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\), find T when R = 2
- A. \(\frac{1}{18}\)
- B. \(\frac{1}{12}\)
- C. \(\frac{1}{24}\)
- D. \(\frac{1}{6}\)
If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1\(\frac{7}{9}\)
- A. 20\(\frac{1}{4}\)
- B. 27
- C. 2\(\frac{1}{4}\)
- D. 36
Solve for x and y respectively in the simultaneous equations -2x – 5y = 3. x + 3y = 0
- A. -3, -9
- B. 9, -3
- C. -9,3
- D. 3, -9
Factorize completely 9y2 – 16X2
- A. (3y - 2x)(3y + 4x)
- B. (3y + 4x)(3y + 4x)
- C. (3y + 2x)(3y - 4x)
- D. (3y - 4x)(3y + 4x)
Find the remainder when X3 – 2X2 + 3X – 3 is divided by X2 + 1
- A. 2X - 1
- B. X + 3
- C. 2X + 1
- D. X - 3
Make R the subject of the formula if T = \(\frac {KR^2 + M}{3}\)
- A. \(\sqrt\frac{3T - K}{M}\)
- B. \(\sqrt\frac{3T - M}{K}\)
- C. \(\sqrt\frac{3T + K}{M}\)
- D. \(\sqrt\frac{3T - K}{M}\)
Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?
- A. 49
- B. 170
- C. 21
- D. 210
Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 – \frac{1}{\sqrt3}\))
- A. \(\frac{7}{3}\)
- B. \(\frac{5}{3}\)
- C. \(\frac{5}{2}\)
- D. \(\frac{3}{2}\)
Rationalize \(\frac{2 – \sqrt5}{3 – \sqrt5}\)
- A. \(\frac{1 - \sqrt5}{2}\)
- B. \(\frac{1 - \sqrt5}{4}\)
- C. \(\frac{ \sqrt5 - 1}{2}\)
- D. \(\frac{1 + \sqrt5}{4}\)
Simplify \((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{8}{9}\)
- D. \(\frac{1}{3}\)