If (-3, -4) is a point on the line y = mx + 2 find the value of m.
-2
\(\frac{7}{4}\)
2
\(\frac{8}{3}\)
Correct answer is C
If (-3, -4) is a point on the line then
-4 = -3m + 2
-4 - 2 = -3m
-6 = -3m
m = 2
Find the nth term of the sequence 4, 10, 16 ,...
2(3n- 1)
2(2 + 3 n-1)
2 n + 2
2(3n+2)
Correct answer is A
\(T_{1} = 4; T_2 = 10; T_3 = 16\)
\(T_{2} - T_1 = T_3 - T_1 = 6\)
\(T_n = a + (n - 1) d\)
= \(4 + (n - 1) \times 6\)
= \(4 + 6n - 6\)
= \(6n - 2\)
= 2(3n - 1)
From the diagram, find the bearing of Q from P.
236o
214o
146o
124o
Correct answer is A
No explanation has been provided for this answer.
If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?
1
\(\frac{1}{2}\)
\(-\frac{}{}\)
-1
Correct answer is A
\((x+3) \propto y\\
∴x + 3 = ky\hspace{1mm}when\hspace{1mm}x = 3, y = 12\\
3+3 = 12k\\
∴ k = \frac{1}{2}\\
\Longrightarrow x + 3 = \frac{1}{2}y\) to find x when y = 8
\(x + 3 = \frac{1}{2}\times 8\\
x=4-3\\
x = 1\)
2
3
7
9
Correct answer is B
20 members in the ratio 3:1
Number of women = \(\frac{1}{4} \times 20\)
= 5
Let the number of women to be added = x
Total number of members in the committee = 20 + x
\(\frac{5 + x}{20 + x} = \frac{2}{5}\)
\(5(5 + x) = 2(20 + x)\)
\(25 + 5x = 40 + 2x \implies 5x - 2x = 40 - 25\)
\(3x = 15 \implies x = 5\)