The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.

• A. 75
• B. 65
• C. 55
• D. 45

If in the English alphabet, A = 1, B = 2, C = 3…… and Z = 26, what will be the difference sum of the consonants and that of the vowels?

• A. 351
• B. 300
• C. 249
• D. 200

If the numbers M, N, Q are in the ratio 5:4:3, find the value of \(\frac{2N - Q}{M}\)

• A. 2
• B. 3
• C. 1
• D. 4

Find the sum to infinity of the series

\(\frac{1}{4}\), \(\frac{1}{8}\), \(\frac{1}{16}\),.......

• A. \(\frac{1}{2}\)
• B. \(\frac{3}{5}\)
• C. \(\frac{-1}{5}\)
• D. \(\frac{73}{12}\)

Find the nth term of the sequence 3, 6, 10, 15, 21.....

• A. \(\frac{n(n - 1)}{2}\)
• B. \(\frac{n(n + 1)}{2}\)
• C. \(\frac{(n + 1)(n + 2)}{2}\)
• n(2n + 1)

If a can of malt drink costs N65, how much is a dozen cans of malt drink ?

• a. N780
• b. N715
• c. N650
• d. N585

Find the direction cosines of the vector \(4i - 3j\).

• A. \(\frac{9}{10}, \frac{27}{10}\)
• B. \(\frac{17}{27}, -\frac{17}{27}\)
• C. \(\frac{4}{5}, -\frac{3}{5}\)
• D. \(\frac{4}{7}, \frac{-3}{7}\)

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the nearest degree, the smallest angle of the triangle.

• A. 35°
• B. 36°
• C. 37°
• D. 38°

Divide 4x³ - 3x + 1 by 2x - 1

• A. 2x²-x+1
• B. 2x²-x-1
• C. 2x²+x+1
• D. 2x²+x-1

\(\begin{array}{c|c} Class & Frequency\\ \hline 1 - 5 & 2\\6 - 10 & 4\\11 - 15 & 5\\16 - 20 & 2 \\ 21 - 25 & 3\\26 - 30 & 2\\31 - 35 & 1\\36 - 40 & 1 \end{array}\)

Find the median of the observation in the table given

• A. 11.5
• B. 12.5
• C. 14.0
• D. 14.5