Math ya :D

Mental Maths

100

(45 + 55) / 2

50

200

120 / 0.5

240

300

15² - 20²

-175

400

sqrt(169) - 3⁴

-68 or -94

500

((35² - 8³ - 3²) / (5³)) / (sqrt(64))

+/- 1

Geometry

100

find the area of a triangle with a base of 10 units and a height of 5 units

25 u²

200

in a right triangle, if one side is 6 units and the hypotenuse is 10 units, find the length of the other side.

8

300

calculate the circumference of a circle with a radius of 7 units

14pi

400

find the volume of a cylinder with a radius of 4 units and a height of 10 units

160pi

500

an 8-unit-radius circular pizza is cut such that each slice forms 45^o angles. if one of slice is folded to make a cone, what is the volume of that cone (vol of cone = pi * r² * h/3) (calculator allowed)

8.31 u³

Trigometry

100

sin(30^o)

0.5

200

cos(45^o) - sin(45^o) + tan(45^o)

1

300

if cos(x) = 1/2, find x if 0^o < x < 360^o

60 and 300

400

( 3sin(30^o) * 2cos(60^o) ) / ( 4tan(45^o) )

3/8

500

if sinx = sqrt3/2 and cosx = 1/2, find (sinx + cosx)² + 3(tanx)²

10 + sqrt3/2

Probability

100

what is the probability of me getting heads on a coin twice

1/4

200

what is the probability of me getting a number higher than 3 on a dye, followed by a number higher than 4

1/6

300

a bag contains 5 red balls, 3 blue balls, and 2 green balls. If 2 balls are drawn at random, what is the probability that both are blue (no replacement) 

1/15

400

two six-sided dice are rolled. what is the probability that the sum of the numbers is 7

1/6

500

a deck of 52 playing cards is shuffled. what is the probability of drawing a red card or a face card (jack, queen, king)?

8/13

Algebra

100

8x + 2 = 18

2

200

6x + 3 = 4x + 9

3

300

4x² + 10x = 2x

0 , -2

400

16x² + 8 = 4x² + 200

+/- 4

500

x² + y = 20

2x - y = 4

when x is -6, y is -16

when x is 4, y is 4