In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ

• A. 200\(^o\)
• B. 100\(^o\)
• C. 120\(^o\)
• D. 90\(^o\)

In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.

• A. 45\(^o\)
• B. 60\(^o\)
• C. 90\(^o\)
• D. 100\(^o\)

The length of an arc of a circle of radius 3.5 cm is 1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)]

• A. 55\(^o\)
• B. 36\(^o\)
• C. 25\(^o\)
• D. 22\(^o\)

Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.

• A. 7
• B. 9
• C. 10
• D. 11

Find the sum of the interior angle of a pentagon.

• A. 340°
• B. 350°
• C. 540°
• D. 550°

An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x

• A. N470,000.00
• B. N480,000.00
• C. N490,000.00
• D. N500,000.00

In the diagram, \(\overline{PU}\)/\(\overline{SR}\), \(\overline{PS}\)/\(\overline{TR}\), \(\overline{QS}\)/\(\overline{UR}\), \(\overline{UR}\) = 15cm, \(\overline{SR}\) = 8 cm, \(\overline{PS}\) = 10 cm and area of?SUR = 24 cm\(^2\). Calculate the area of PTRS.

• A. 40 cm\(^2\)
• B. 48 cm\(^2\)
• C. 80 cm\(^2\)
• D. 120 cm\(^2\)

If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x.

• A. 0.03
• B. 0.01
• C. - 0.01
• D. - 0.03

Find the unit vector in the direction opposite to the resultant of forces. F\(_1\) = (-2i - 3j) and F\(_2\) = (5i - j)

• A. \(\frac{1}{5}\)(-3i - 4j)
• B. \(\frac{1}{5}\)(-3i + 4j)
• C. \(\frac{1}{5}\)(3i - 4j)
• D. \(\frac{1}{5}\)(3i + 4j)

The table shows the distribution of marks scored by 64 students in a test

(a) Draw a histogram for the distribution.

(b) Use the histogram to estimate the modal score.