The bar chart above shows the distribution of SS2 students in a school.
Find the total number of students
- A. 180
- B. 135
- C. 210
- D. 105
The pie chart shows the distribution of courses offered by students. What percentage of the students offer English?
- A. 30%
- B. 25%
- C. 35%
- D. 20%
From the venn diagram above, the complement of the set P\(\cap\)Q is given by
- A. {a, b, d, e}
- B. {b, d}
- C. {a, e}
- D. {c}
Find the derivative of \(\frac {\sin\theta}{\cos\theta}\)
- A. sec2 \(\theta\)
- B. tan \(\theta\) cosec \(\theta\)
- C. cosec \(\theta\)sec \(\theta\)
- D. cosec2\(\theta\)
Find the probability that a number picked at random from the set(43, 44, 45, …, 60) is a prime number.
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{2}{9}\)
- D. \(\frac{7}{9}\)
In how many ways can five people sit round a circular table?
- A. 24
- B. 60
- C. 12
- D. 120
In how many was can the letters of the word ELATION be arranged?
- A. 6!
- B. 7!
- C. 5!
- D. 8!
\(\begin{array}{c|c}
Class Interval & 3 – 5 & 6 – 8 & 9 – 11 \\ \hline Frequency & 2 & 2 & 2 \end{array}\). Find the standard deviation of the above distribution.
- A. √5
- B. √6
- C. √7
- D. √2
\(\begin{array}{c|c} No & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline Frequency & 1 & 4 & 3 & 8 & 2 & 5 \end{array}\). From the table above, find the median and range of the data respectively.
- A. (8,5)
- B. (3, 5)
- C. (5 , 8)
- D. (5 , 3)
The sum of four consecutive integers is 34. Find the least of these numbers
- A. 7
- B. 6
- C. 8
- D. 5
Find \(\int\) cos4 x dx
- A. \(\frac{3}{4}\) sin 4x + k
- B. -\(\frac{1}{4}\) sin 4x + k
- C. -\(\frac{3}{4}\) sin 4x + k
- D. \(\frac{1}{4}\) sin 4x + k
Find the value of x at the minimum point of the curve y = x3 + x2 – x + 1
- A. \(\frac{1}{3}\)
- B. -\(\frac{1}{3}\)
- C. 1
- D. -1
\(\begin{array}{c|c} Class Intervals & 0 – 2 & 3 – 5 & 6 – 8 & 9 – 11 & \\ \hline Frequency & 3 & 2 & 5 & 3 &\end{array}\)
Find the mode of the above distribution.
- A. 9
- B. 8
- C. 10
- D. 7
The derivatives of (2x + 1)(3x + 1) is
- A. 12x + 1
- B. 6x + 5
- C. 6x + 1
- D. 12x + 5
A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.
- A. 195o
- B. 135o
- C. 225o
- D. 045o
In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) – sin\(\theta\)?
- A. \(\frac{2}{3}\)
- B. \(\frac{3}{5}\)
- C. \(\frac{1}{5}\)
- D. \(\frac{4}{5}\)
Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).
- A. 5y - 2x -18 = 0
- B. 5y + 2x - 18 = 0
- C. 5y - 2x + 18 = 0
- D. 5y + 2x - 2 = 0
The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.
- A. (2, 10)
- B. (2, 8)
- C. (2, 12)
- D. (2, 6)
The perpendicular bisector of a line XY is the locus of a point
- A. whose distance from X is always twice its distance from Y
- B. whose distance from Y is always twice its distance from X.
- C. which moves on the line XY
- D. which is equidistant from the points X and Y
A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold
- A. 48 cm3
- B. 33 cm3
- C. 60 cm3
- D. 27 cm3