A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours
- A. \(\frac{8}{15}\)
- B. \(\frac{13}{25}\)
- C. \(\frac{11}{15}\)
- D. \(\frac{13}{15}\)
Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores
- A. \(\sqrt{10}\)
- B. 4
- C. 5
- D. \(\sqrt{30}\)
A kite flies on a taut string of length 50m inclined at tan angle 54o to the horizontal ground. The height of the kite above the ground is
- A. 50 tan 30o
- B. 50 sin 54o
- C. 50 tan 54o
- D. 50 sin 36o
If cos(x + 40)o = 0.0872, what is the value of x?
- A. 85o
- B. 75o
- C. 65o
- D. 45o
In \(\bigtriangleup\) XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
- A. /XY/ + /YZ/ = /XZ/
- B. /XY/ - /YZ/ = /XZ/
- C. /XY/2 = /Y/2 - /XY/2
- D. /YZ/2 = /XZ/2 + /XY/2
The lengths of the minor and major arcs 54cm and 126cm respectively. Calculate the angle of the major sector
- A. 360o
- B. 252o
- C. 246o
- D. 234o
The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
- A. 14cm
- B. 9cm
- C. 8cm
- D. 7cm
Solve the inequality: \(\frac{-m}{2} – \frac{5}{4} \geq \frac{5m}{12} – \frac{7}{6}\)
- A. m \(\leq \frac{5}{4}\)
- B. m \(\geq \frac{5}{4}\)
- C. m \(\leq - \frac{1}{11}\)
- D. m \(\geq - \frac{1}{11}\)
The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation
- A. 12n - 6 = 0
- B. 3n - 12 = 0
- C. 2n - 35 = 0
- D. 5n - 33 = 0
Make p the subject of the relation: q = \(\frac{3p}{r} + \frac{s}{2}\)
- A. p = \(\frac{2q - rs}{6}\)
- B. p = 2qr - sr - 3
- C. p = \(\frac{2qr - s}{6}\)
- D. p = \(\frac{2qr - rs}{6}\)
Simplify: \(\frac{54k^2 – 6}{3k + 1}\)
- A. 6(1 - 3k2)
- B. 6(3k2 - 1)
- C. 6(3k - 1)
- D. 6(1 - 3k)
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
- A. 5
- B. 4
- C. 3
- D. 1
If N2,500.00 amounted to N3,50.00 in 4 years at simple interest, find the rate at which the interest was charged
- A. 5%
- B. 7\(\frac{1}{2}\)%
- C. 8%
- D. 10%
Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
- A. 25m/s
- B. 150m/s
- C. 250m/s
- D. 500m/s
The nth term of a sequence is Tn = 5 + (n – 1)2. Evaluate T4 – T6
- A. 30
- B. 16
- C. -16
- D. -30
Convert 3510 to number in base 2
- A. 1011
- B. 10011
- C. 100011
- D. 11001
In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
- A. 50:11
- B. 15:17
- C. 13:55
- D. 12:11
Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
- A. \(\sqrt{2}\)
- B. \(\sqrt{5}\)
- C. 2\(\sqrt{2}\)
- D. 2\(\sqrt{5}\)
Express 302.10495 correct to five significant figures
- A. 302.10
- B. 302.11
- C. 302.105
- D. 302.1049