If \(K\sqrt{28}+\sqrt{63}-\sqrt{7}=0\), find K.

• A. -2
• B. -1
• C. 1
• D. 2

Simplify \((\sqrt[3]{64a^{3}})^{-1}\)

• A. 4a
• B. 1/8a
• C. 8a
• D. 1/4a

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity element

• A. 2
• B. 1
• C. -1
• D. -2

If the solution set of \(x^{2} + kx - 5 = 0\) is (-1, 5), find the value of k.

• A. -6
• B. -4
• C. 4
• D. 5

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

• A. 11
• B. \(\frac{15}{2}\)
• C. 5
• D. \(\frac{5}{2}\)

A sector of a circle of radius 7cm has an area of 44cm². Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]

• A. 6°
• B. 26°
• C. 52°
• D. 103°

Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes

• A. 19.5
• B. 17.0
• C. 14.5
• D. 12.5

Find the coefficient of \(x^{4}\) in the binomial expansion of \((1 - 2x)^{6}\).

• A. 320
• B. 240
• C. -320
• D. -240

If cos(x + 40)° = 0.0872, what is the value of x?

• A. 85°
• B. 75°
• C. 65°
• D. 45°

\(\begin{array}{c|c} \text{No. of children} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of families} & 7 & 11 & 6 & 7 & 7 & 5 & 3 \end{array}\)

Find the mode and median respectively of the distribution above

• A. 2, 1
• B. 1, 2
• C. 1, 5
• D. 5, 2