Subtract 14256\(_{seven}\) from 20045\(_{seven}\)
- A. 1256\(_{seven}\)
- B. 2456\(_{seven}\)
- C. 1356\(_{seven}\)
- D. 2465\(_{seven}\)
Convert the number 10111.11\(_{two}\) to a mixed number.
- A. 23\(\frac{1}{4}\)
- B. 23\(\frac{3}{4}\)
- C. 22\(\frac{1}{4}\)
- D. 24\(\frac{3}{4}\)
In the diagram above, T represents the construction of angle …..
- A. 15\(^0\)
- B. 30\(^0\)
- C. 45\(^0\)
- D. 60\(^0\)
Given that P is the set of all prime numbers between 0 and 10, and Q is the set of all odd numbers between 0 and 10. Find the union of elements in P that are not in Q and the elements in Q that are not in P.
- A. {2, 9}
- B. { 9}
- C. {1, 9}
- D. {1, 2, 9}
P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.
- A. 12
- B. 9
- C. 8
- D. 7
The scores of students in a test are recorded as follows: 4, 3, 3, 2, 1, 2, 5, 7, 8, 3, and 5. Find the mode of the mark.
- A. 2
- B. 3
- C. 4
- D. 5
Find the 7\(^{th}\) term of the sequence -10, 50, -250 ………..
- A. 165250
- B. 156250
- C. -156250
- D. -165,250
Find the perimeter of a triangle whose vertices pass through ( 3, 2), (4, 5) and (6, 2) in surd form.
- A. 3 + \(\sqrt{12} + \sqrt{13}\)
- B. 3 - \(\sqrt{10} + \sqrt{13}\)
- C. 3 + \(\sqrt{10} + \sqrt{13}\)
- D. 3 - \(\sqrt{12} + \sqrt{13}\)
Simplify \(\frac{ 5 + \sqrt{7}}{3 + \sqrt{7}}\)
- A. 17 - \(\sqrt{7}\)
- B. 4 - \(\sqrt{7}\)
- C. 7 - \(\sqrt{7}\)
- D. 15 - \(\sqrt{7}\)
Differentiate y = (5x + 1)\(^4\)
- A. 20 (5x + 1)\(^3\)
- B. 4(5x + 1)\(^3\)
- C. 5(5x + 1)\(^3\)
- D. (5x)\(^3\)
A boy bought Oranges at the rate of #24.00 for 5 and sold it at the rate of # 30.00 for 4 Oranges. Find the profit made of the ones sold
- A. # 24.00
- B. #30.00
- C. # 10.80
- D. #20.00
From the top of a building 10m high, the angle of elevation of a fruit on top of a tree 25m is 30º. Calculate the horizontal distance between the building and the tree.
- A. 15\(\sqrt{3}\)m
- B. 5\(\sqrt{3}\)m
- C. 25\(\sqrt{3}\)m
- D. 30\(\sqrt{3}\)m
The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from the class offers physics and chemistry if every students offers at least one subject?
- A. \(\frac{2}{13}\)
- B. \(\frac{5}{13}\)
- C. \(\frac{2}{5}\)
- D. \(\frac{3}{13}\)
PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of \(\angle\) PQR
- A. 16\(\sqrt{3}cm^2\)
- B. 16\(\sqrt{2}cm^2\)
- C. 8\(\sqrt{3}cm^2\)
- D. 16\(\sqrt{2}cm^2\)
The sum to infinity of a GP is 100, find its first term if the common ratio is -\(\frac{1}{2}\)
- A. 150
- B. 155
- C. 160
- D. 165
Let A = \(\begin{pmatrix}2 & -4 & 3\\5 & 1 & 0\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4 & -2\\-3 & 3 & -1\end{pmatrix}\). Find A + 2B
- A. \(\begin{pmatrix}4 & 4 & -1\\-1 & 7 & -2\end{pmatrix}\)
- B. \(\begin{pmatrix}-1 & 4 & -1\\4 & 7 & -2\end{pmatrix}\)
- C. \(\begin{pmatrix}4 & 4 & -1\\7 & 7 & -2\end{pmatrix}\)
- D. \(\begin{pmatrix}-1 & 7 & -2\\4 & 4 & -2\end{pmatrix}\)
The graph above represents inequalities
- A. 3x +4y ≥12, x >0, y > 0
- B. 3x + 4y\(\leq\) 12, x ≥ 0, y ≥ 0
- C. 3x + 4y <12, x \(\leq\) 0, y ≥ 0
- D. 3x + 4y < 12, x ≥ 0, y ≥ 0
In how many ways can 6 people sit around a table
- A. 120
- B. 240
- C. 60
- D. 30
Identify the equation of the shaded region in the given graph
- A. y > 1
- B. x < 1
- C. X > 1
- D. y < 1
From the figure above, find the length of Chord PQ
- A. 17cm
- B. 18cm
- C. 7cm
- D. 9cm