If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
- A. 65
- B. 23
- C. 17
- D. 91
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6
- A. \(\frac{5}{8}\)
- B. \(\frac{5}{16}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{3}{8}\)
Add 54 \(_{eight}\) and 67\(_{eight}\) giving your answers in base eight
- A. 111
- B. 121
- C. 123
- D. 143
From a point R, 300m north of P, a man walks eastwards to a place; Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree
- A. 026\(^o\)
- B. 045\(^o\)
- C. 210\(^o\)
- D. 240\(^o\)
Simplify 25\(\frac{1}{2}\) ร 8\(\frac{-2}{3}\)
- A. 1\(\frac{1}{4}\)
- B. 2\(\frac{1}{4}\)
- C. 6
- D. 10
Calculate the area of an equilateral triangle of side 8cm
- A. 8โ3
- B. 16
- C. 4โ3
- D. 16โ3
Which one of the following gives the members of the set A1 n B n C?
- A. ฮฆ
- B. {s}
- C. {t, u}
- D. {y, z}
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{1}{4}\)
- D. \(\frac{1}{9}\)
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
- A. 1110
- B. 10111
- C. 11101
- D. 111100
From a point P, Q is 5km due West and R is12km due South of Q. Find the distance between P and R.
- A. 5km
- B. 12km
- C. 13km
- D. 17km
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
- A. 210
- B. 1050
- C. 21400
- D. 25200
Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
- A. \(\frac{1}{16}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{1}{4}\)
- D. \(\frac{3}{8}\)
Evaluate โซ\(^2_1\) \(\frac{5}{x}\) dx
- A. 1.47
- B. 2.67
- C. 3.23
- D. 3.47
Calculate 243\(_{six}\) โ 243\(_{five}\) expressing your answer in base 10
- A. 0
- B. 1
- C. 26
- D. 46
Convert 0.04945 to two significant figures
- A. 0.040
- B. 0.049
- C. 0.050
- D. 0.49
Find the average of the first four prime numbers greater than 10
- A. 20
- B. 19
- C. 17
- D. 15
Given that Sin (5\(_x\) โ 28)\(^o\) = Cos(3\(_x\) โ 50)\(^o\), o < x < 90\(^o\)
Find the value of x
- A. 14\(^o\)
- B. 21\(^o\)
- C. 32\(^o\)
- D. 39\(^o\)
What is the loci of a distance 4cm from a given point P?
- A. A straight line of length 4cm
- B. a circle of radius 4cm
- C. perpendicular to point P at 4cm
- D. a circle of diameter 4cm
The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ฮต.
Use the figure to answer this question
What is n(A U B)1 ?
- A. 2
- B. 3
- C. 4
- D. 7