If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]
- A. 48 cm
- B. 40 cm
- C. 43 cm
- D. 45 cm
The pie chart above shows the monthly distribution of a man’s salary on food items. If he spent N8,000 on rice, how much did he spent on yam?
- A. N42,000
- B. N18,000
- C. N16,000
- D. N12,000
in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?
- A. y = x + 5
- B. y = -x + 5
- C. y = x - 5
- D. y = -x - 5
Find the value of x in the figure above
- A. 20\(\sqrt{3}\)cm
- B. 10\(\sqrt{3}\)cm
- C. 5\(\sqrt{3}\)cm
- D. 4\(\sqrt{3}\)cm
From the figure above, what is the value of p?
- A. 135o
- B. 90o
- C. 60o
- D. 45o
In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.
- A. 91o
- B. 89o
- C. 37o
- D. 19o
From the venn diagram above, the shaded parts represent
- A. (P\(\cap\)Q)\(\cup\)(P\(\cap\)R)
- B. (P\(\cup\)Q)\(\cap\)(P\(\cap\)R)
- C. (P\(\cup\)Q)\(\cup\)(P\(\cup\)R)
- D. (P\(\cap\)Q)\(\cup\)(P\(\cup\)R)
A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?
- A. \(\frac{2}{15}\)
- B. \(\frac{1}{10}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{2}{5}\)
\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)
The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?
- A. \(\frac{1}{5}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{2}{5}\)
- D. \(\frac{3}{4}\)
In how many ways can a team of 3 girls be selected from 7 girls?
- A. \(\frac{7!}{3!}\)
- B. \(\frac{7!}{4!}\)
- C. \(\frac{7!}{3!4!}\)
- D. \(\frac{7!}{2!5!}\)
Find the standard deviation of 5, 4, 3, 2, 1
- A. \(\sqrt{2}\)
- B. \(\sqrt{3}\)
- C. \(\sqrt{6}\)
- D. \(\sqrt{10}\)
Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6
- A. 6
- B. 5
- C. 4
- D. 3
\(\begin{array}{c|c}
Values & 0 & 1 & 2 & 3 & 4 \\
\hline
Frequency & 1 & 2 & 2 & 1 & 9
\end{array}\)
Find the mode of the distribution above
- A. 1
- B. 2
- C. 3
- D. 4
The mean of 2 – t, 4 + t, 3 – 2t, 2 + t and t – 1 is
- A. t
- B. -t
- C. 2
- D. -2
Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)
- A. \(\frac{1}{12} (2x + 3)^6 + k\)
- B. \(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)
- C. \(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
- D. \(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)
Evaluate \(\int \sin 2x dx\)
- A. cos 2x + k
- B. \(\frac{1}{2}\)cos 2x + k
- C. \(-\frac{1}{2}\)cos 2x + k
- D. -cos 2x + k
If y = cos 3x, find \(\frac{\delta y}{\delta x}\)
- A. \(\frac{1}{3} \sin 3x\)
- B. \(-\frac{1}{3} \sin 3x\)
- C. 3 sin 3x
- D. -3 sin 3x
If y = 4x3 – 2x2 + x, find \(\frac{\delta y}{\delta x}\)
- A. 8x2 - 2x + 1
- B. 8x2 - 4x + 1
- C. 12x2 - 2x + 1
- D. 12x2 - 4x + 1
If \(\sin\theta = \frac{12}{13}\), find the value of \(1 + \cos\theta\)
- A. \(\frac{25}{13}\)
- B. \(\frac{18}{13}\)
- C. \(\frac{8}{13}\)
- D. \(\frac{5}{13}\)
Calculate the mid point of the line segment y – 4x + 3 = 0, which lies between the x-axis and y-axis.
- A. \(\begin{pmatrix} 3 & -3 \\ 8 & 2 \end{pmatrix}\)
- B. \(\begin{pmatrix} 3 & 3 \\ 8 & 2 \end{pmatrix}\)
- C. \(\begin{pmatrix} -2 & 2 \\ 2 & 2 \end{pmatrix}\)
- D. \(\begin{pmatrix} -2 & 3 \\ 3 & 2 \end{pmatrix}\)