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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
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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 \(a \).

\(a = \)

CorrectIncorrect - Question 2 of 10
##### 2. Question

The perpendicular bisector of \(\left( {1,2} \right)\) and \(\left( {3,7} \right)\) is \(4x + 10y + A = 0\).

\(A = \)

CorrectIncorrect - Question 3 of 10
##### 3. Question

Given four angles \( 4x+30, 2x+40, 2x+40 \) and \( 2x-20 \) are in a quadrilateral, find \( x \).

\( x = \) \( ^\circ \)

CorrectIncorrect - Question 4 of 10
##### 4. Question

Simplify 1.1 m – 4.2 cm + 12 mm in millimeters, correcting to one significant figure.

CorrectIncorrect - Question 5 of 10
##### 5. Question

The perpendicular sides of the right-angled triangle have lengths in the ratio 5 : 12. Find the largest length of the sides if its perimeter is 450 cm.

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the area of the sector, correcting to two significant figures.

CorrectIncorrect##### Hint

\(\text{Area of a sector } = \pi {r^2} \times \dfrac{\theta }{{360^\circ }}\)

- Question 7 of 10
##### 7. Question

Find the equation of the graph in red given \(y = \sin x\) is drawn in black.

CorrectIncorrect - Question 8 of 10
##### 8. Question

Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 12 cm

^{2}.\(\theta = \) degree(s)

CorrectIncorrect##### Hint

\(Area = \dfrac{1}{2}ab\sin C\)

- Question 9 of 10
##### 9. Question

Find the largest angle in the triangle, correcting to the nearest minute.

\(\theta = \) degree(s) and minute(s)

CorrectIncorrect##### Hint

\(\cos A = \dfrac{{{b^2} + {c^2} – {a^2}}}{{2bc}}\)

- Question 10 of 10
##### 10. Question

Find \(\overrightarrow {BM} \).

CorrectIncorrect