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Question 1 of 10
1. Question
If the gradient of \(\left( {8,a} \right)\) and \(\left( {-1,3} \right)\) is \(2 \), find the value of \(a \).
\(a = \)
Correct
Incorrect
Question 2 of 10
2. Question
The perpendicular bisector of \(\left( {1,2} \right)\) and \(\left( {3,7} \right)\) is \(4x + 10y + A = 0\).
\(A = \)
Correct
Incorrect
Question 3 of 10
3. Question
State whether $y=x-1$ is a function or not.
Correct
Incorrect
Hint
The relation is a function if each vertical line cuts the graph no more than once.
Question 4 of 10
4. Question
Given \(f\left( x \right) = ax + b\), \(f\left( 0 \right) = 1\) \(f\left( 1 \right) = -1\) and \(f\left( 2 \right) = -1\), find \(a \) and \(b\).
\(a = \) \(b = \) \(c = \)
Correct
Incorrect
Question 5 of 10
5. Question
State the domain and range of \(y = {x^2} – 2x\).
Correct
Incorrect
Question 6 of 10
6. Question
If the domain of \(y = 2x – 1\) is \(1 \le x < 2\), state the range of \({y^{ - 1}}\).
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Incorrect
Question 7 of 10
7. Question
The amount in an investment account is initially \( $4500 \) at the beginning of January 2019 and increase by 5% per annum. At which year and month the amount becomes double.
Correct
Incorrect
Hint
\(A = P \times {\left( {1 + r} \right)^t}\)
Question 8 of 10
8. Question
The value of a scrap metal bought for \($3400 \) decreases by 3% each year. Find how much the metal is worth after 7 years, correcting to 2 significant figures.
amount = $
Correct
Incorrect
Hint
\(A = P \times {\left( {1 – r} \right)^t}\)
Question 9 of 10
9. Question
The least squares regression line for heights \({(h)}\) of high school students as a function of the number of years of school \({(n)}\) is given by the rule \(h = 114 + 5.34n\). Choose correct statements.
Correct
Incorrect
Question 10 of 10
10. Question
The value of a piece of land bought for \($3400 \) at the beginning of 2020 decreases by 3% each year. Find which year the value becomes half.
