Chetans Jeapordy

Quadratics

100

Factorise  x²-7x+12 

(x-3)(x-4)

200

Factorise -7x²+49x-42

-7(x-1)(x-6)

300

Solve for x: 6x²+5x−6=0 

x=2/3 and x=-3/2

400

Solve for x: 3x²+7x+2=0 

x=-1/3 and x=-2

500

A basketball is thrown from a platform 2 metres above the ground. The height h (in metres) of the ball above the ground after t seconds is given by the equation:

h(t)=−5t²+10t+2

a) After how many seconds does the ball hit the ground, HINT: use a calculator (300 points) 

b) What is the maximum height the ball reaches? (200 points) 

a) 2.18s

b) 7m 

Surds

100

Simplify √50

5√2

200

Simplify √40 + √20

5√5

300

Rationalise the denominator: 3/(3+√5)

(9-3√5)/4

400

Simplify 4/(3+√5) + 3/(3-√5)

(21-√5)/4

500

Mia is designing a triangular garden in the shape of a right-angled triangle. The two shorter sides of the garden measure:

• One side = 4√3metres

• Other side = 2√6 metres

She wants to calculate the area of the garden.

What is the exact area of the garden in simplest surd form?

3√2

Linear Algebra

100

Solve for x: 4(2x−3)=3(3x+1)+5 

x=-20

200

Solve for y: 5y+2=3(y−4)+10

y=-2

300

Find the equation of the line in the form y=mx+c passing through points (2,−1) and (−1,5)

y=-2x+3

400

Solve the system of equations: 

3x-2y=7

5x+y=4

x=15/13 y = -23/13

500

Find k such that the equations y=2x+3 and (k-2)x+2y=4 are perpendicular. 

k = 3

Trigonometry

100

A right-angled triangle has an angle of θ=30∘, and the hypotenuse is 10 cm.
Find the length of the side opposite θ. 

5cm

200

In a right-angled triangle, the side opposite angle θ is 6 cm, and the adjacent side is 8 cm.
Find the size of angle θ, correct to 1 decimal place.

36.9

300

In a right-angled triangle, one angle is 60∘, and the adjacent side to this angle is 5 cm.
Find the hypotenuse, correct to 2 decimal places.

10cm

400

A ladder leans against a wall. It reaches 4 metres up the wall and makes a 65∘angle with the ground.
How long is the ladder?

4.41m

500

In triangle ABC, angle A=40∘, angle B=60∘, and side a=12 cm.
Find the length of side b using the sine rule.

16.17cm

General Knowledge

100

What is the capital city of Greece?

Athens

200

Who painted the Mona Lisa 

Da Vinci 

300

What colour is "Buddha's Hand"

Yellow 

400

Which scientist developed the theory of general relativity?

Einstein

500

When is Chetan's Birthday

21/12/2004