Term 1 Year 10 Maths Revision

Expansion

100

3(2x-5)

6x-15

200

3(x-2) + 4x(x+1)

4x^2+7x-6

300

(x+2)(x+6)

x^2+8x+12

400

(x+4)(x-4)

x^2-16

500

(x+5)^2

x^2+10x+25

Factorisation

100

3(x+5) + x(x+5)

(x+5)(3+x)

200

9x^2-16

(3x+4)(3x-4)

300

x^2-8x+16

(x-4)^2

400

3x^2-27

3(x+3)(x-3)

500

2x^2+13x+18

(x+2)(2x+9)

Pythagoras

100

What is Pythagoras' Theoreum

a^2 + b^2 = c^2

200

Find c when:

a=13

b=8

c=SQR(233), approximately 15.26

300

Find b when:

a=15

c=17

b=8

400

Find c when:

a=3^2

b=SQR(2)^2

c=SQR(11), approximately 3.32

500

Find b when:

a=SQR(5)^2

c=SQR(7)^2

b=SQR(2), approximately 1.41

Trigonometry

100

What are the ratios for:

Sin

Cos

Tan

Sin=Opp/Hyp

Cos=Adj/Hyp

Tan=Opp/Adj

200

What are the fractions for Sin, Cos, and Tan when:

Hypotenuse=7

Opposite=5

Adjacent=3

Sin=5/7

Cos=3/7

Tan=3/5

300

Find the opposite length to 62 degrees when the adjacent length is 85km.

159.86km

400

Find the angle when the adjacent length is 6cm and the hypotenuse 9cm.

48.2 degrees

500

From a cliff 80m above sea level, a blue whale is observed at an angle of depression of 6 degrees.  How far away is the observer at the top of the cliff from the whale?

765m

Random Maths

100

(x^6) x (x^3)

x^9

200

Solve for x when:

3x + 2 = -7

-3

300

What is the formula to find the area of a circle

pi x radius ^2