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
Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 24 cm2.
\(\theta = \) degree(s)
CorrectIncorrectHint
\(Area = \dfrac{1}{2}ab\sin C\)
- Question 2 of 10
2. Question
Find \(\theta \), correcting to the nearest degree.
\(\theta = \) degree(s)
CorrectIncorrectHint
\(\frac{a}{{\sin A}} = \frac{b}{{\sin B}} = \frac{c}{{\sin C}}\)
- Question 3 of 10
3. Question
Luke runs at 6 km/h on a bearing of \(160^\circ\text{T}\) for 50 minutes, then changes direction to a bearing of \(\text{58}^\circ\text{T}\) until he is due east of the starting point. Find how far he needs to run to get back to the starting point, correcting to one decimal place.
distance = km
CorrectIncorrectHint
\(\dfrac{a}{{\sin A}} = \dfrac{b}{{\sin C}} = \dfrac{c}{{\sin C}}\)
- Question 4 of 10
4. Question
Find \(x\) and \(y\), correcting to one decimal place.
\(x = \) , \(y = \)
CorrectIncorrectHint
\(\dfrac{a}{{\sin A}} = \dfrac{b}{{\sin C}} = \dfrac{c}{{\sin C}}\)
- Question 5 of 10
5. Question
Find \(\theta \), correcting to the nearest degree.
\(\theta = \) degree(s) and minute(s)
CorrectIncorrectHint
\(\begin{align} \displaystyle
{a^2} &= {b^2} + {c^2} – 2bc\cos A\\
\cos A &= \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}
\end{align}\) - Question 6 of 10
6. Question
Find the largest angle in the triangle, correcting to the nearest degree.
degree(s)
CorrectIncorrectHint
\(\cos A = \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}\)
- Question 7 of 10
7. Question
Find the smallest angle in the triangle, correcting to the nearest degree.
degree(s)
CorrectIncorrectHint
\(\cos A = \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}\)
- Question 8 of 10
8. 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 9 of 10
9. 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 - Question 10 of 10
10. Question
A tank of capacity 50 kL is to be filled by a hose whose flow rate is 150 L/min. If the tap is turned on at 10 am, when will the tank be filled?
CorrectIncorrect