Are you ready to take your first step toward achieving your goal?
- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test
OK, let’s get started now!
Are you ready to take your first step toward achieving your goal?
- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz
OK, let’s get started now!
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- Question 1 of 10
1. Question
Kylie buys 8 tomatoes and 5 lettuces for \($4.75\). John buys 9 tomatoes and 2 lettuces for \($3.35\). How much does each type of vegetable cost?
tomato = cents, lettuce = cents
CorrectIncorrect - Question 2 of 10
2. Question
Ben drove from Town A to Town B, a distance of \( 60 \) km, at an average speed of \( 80 \) km/h. He cycled back at an average speed of \( 20 \) km/h. Find his average speed for the whole journey.
Note that it is not \( \textit{50} \) km/h.Answer: km/h
CorrectIncorrect - Question 3 of 10
3. Question
For a “55 days interest-free” credit card, calculate the interest charged on a purchase of \$7600 made on 11 November and repaid on 12 January next year with a purchase interest rate of 21% per annum.
$ , correcting to the nearest cent
CorrectIncorrect - Question 4 of 10
4. Question
Given the principal is \$5500, the interest rate is 14.4% per annum and the monthly repayment is \$320, find the principal reduced during the first 2 months.
Balance at the end of the 1st month: $
Balance at the end of the 2nd month: $
Principal reduced during the first 2 months: $ , correcting to the nearest cent
CorrectIncorrect - Question 5 of 10
5. Question
Andrew takes out a \$87000 home loan. The terms of the loan are 8.4% per annum compounded monthly over 20 years, with monthly repayments.
Find the following, correct to the nearest cent.Monthly repayment: $
Total amount paid: $
Total interest paid: $
CorrectIncorrectHint
\( \displaystyle M = PV \times \frac{r \times (1+r)^n}{(1+r)^n-1} \)
- Question 6 of 10
6. Question
The scores \(3,4,4,4,x,7,8,9\) in ascending order have a median of \( 5 \). Find \(x\).
\( x = \)
CorrectIncorrectHint
Median is the middle value of the ordered data set.
- Question 7 of 10
7. Question
What is the age of the child who is 35 kg?
CorrectIncorrect - Question 8 of 10
8. Question
Use technology to find the equation, \(y = mx + b\) of the linear regression for the data by considering any outliers. Express coefficients correct to two decimal places.
\( \begin{array}{|c|c|c|} \hline
x & 1 &4 &8 &13 &15 &19 &21 \\ \hline
y & -58 &24 &31 &120 &38 &45 &47 \\ \hline
\end{array} \)\(m = \) , \(b = \)
CorrectIncorrect - Question 9 of 10
9. Question
The rate of 1 teacher per 14 students is used to staff a school. How many teachers will be required for a school with 745 students?
CorrectIncorrect - Question 10 of 10
10. Question
The angles of a quadrilateral are in the ratio \( 2:3:4:6 \).
Find the difference in magnitude between the smallest and largest angles.
Answer: degrees
CorrectIncorrect