Pack 1

Question 1

Area of a Triangle? (basic)

Answer 1

1/2 * base *height

Question 2

Area of a Triangle? (trigonometry)

Answer 2

1/2 * a * b * sin(C)

Question 3

Area of a Circle?

Answer 3

π*r^2

Question 4

If a triangle has a side opposite the angle of length 10cm, and the angle tan(2/3), how long is this adjacent side?

Answer 4

15cm

Question 5

If a triangle has a hypotenuse of 13cm, and an angle sin(12/13), what length will the adjacent side be?

Answer 5

5cm

Question 6

What is the equation of a circle?

Answer 6

(x-a)^2 + (y-b)^2 = r^2

Question 7

How can the equation of a straight line be written?

Answer 7

y=mx + c

y-y1 = m(x-x1)

Question 8

A circle has an equation (x+3)^2 + (y-2)^2 = 16, what are the coordinates of the center of the circle?
What is the radius of the circle?

Answer 8

(-3,2)

4

Question 9

When two lines cross, how would you find the co-ordinates at which they cross?

Answer 9

Simultaneous Equations of the two equations of the lines.

Question 10

What is the relationship between the gradient of a tangent to a circle and its diameter?

Answer 10

They are the negative reciprocal of each other

Question 11

How can you solve something in the form ax^2 + bx + c = 0?

Answer 11

Factorise
Complete the square
Quadratic Formula

Question 12

What is the quadratic formula?

Answer 12

x = (-b ± √(b2 − 4ac))/2a

Question 13

If they ask for something in the form x = a ± √(b), how do you find the answer?

Answer 13

Complete the square and continue on (with the equation equalling 0) to solve for x

Question 14

If they ask for something in the form a (x + b)^2 + c, how do you find the answer?

Answer 14

Complete the square and expand out the bigger brackets

Question 15

When dividing powers how do they combine? (eg. a^4 / a^3)

Answer 15

Subtract the powers (eg. a^4 / a^3 = a^1)

Question 16

When multiplying powers how do they combine? (eg. a^4 * a^3)

Answer 16

Add the powers (eg. a^4 * a^3 = a^7)

Question 17

The square root of “a” can be written “a” to the power of what?

Answer 17

1/2, a^1/2

Question 18

How can 9/(a^2) also be written as a power of a?

Answer 18

9(a^-2)

Question 19

How can (2^3)/√2 be simplified?

Answer 19

2^2.5

Question 20

If a point lies on the x - axis then which coordinate do we know?

Answer 20

We know it has a y value 0

x,0

Question 21

If a point lies on the y axis then which coordinate do we know?

Answer 21

We know it has a x value 0

0,y