Probability
Find the probability of rolling an even number on a fair die
1/3
Simplify:
3x*x2
3x3
Find x:
2x+4=14
x=5
I have the adjacent and hypotenuse. Which trigonometric function can I use?
Cosine
Area of a square 7 meters long
Probability of flipping 3 coins and them all being heads
1/8
Simplify:
(2x4)2
4x8
Find x:
(4+3x)/2=11
x=6
Length of hypotenuse of a right angle triangle with side lengths 3 and 4
5
50 students were surveyed on whether they spoke English at their home. 64% of students responded Yes. How many responded No?
18 students
Solve:
x6/x4=49
x=7
Factorise:
4x2+8x
4x(x+2)
Length of hypotenuse of a right angle triangle with side lengths 7 and 12. (You can leave the answer in square-root form)
sqrt(193)
Surface Area: 150m2
Volume: 125m3
50 students were surveyed about whether they have an XBox or PlayStation, 26 said they have XBox and 24 said they have PlayStation. 6 students said they have both. What percentage of students don't have either?
How many significant figures are in these
1. 0.0006
2. 362000
3. 2541
1. 1
2. 3
3. 4
Expand and solve:
4(x+3)=24
x=2.5
What's the length of the longest diagonal in a box 8m x 7m x 11m
sqrt(234)
Calculate the surface area of a rectangular prism with dimensions 3m x 2m x 5m
62m2
Draw a tree diagram of a coin flip and a die roll, and then work out the probability of getting heads and rolling a prime number.
Probability: 1/4
1. 4350
2. 0.042
3. 14000
4. 0.00402
1. 4.35*103
2. 4.2*10-2
3. 1.4*104
4. 4.02*10-3
Expand:
1. (3x+2)(x+4)
2. (2x+5)(3-4x)
1. 3x2+14x+8
2. -8x2-14x+15
I am 44 meters away from a 23 meter tall pillar with a light bulb on the top. My eyes are 1 meter from the ground and am looking at the light bulb. What angle would I be looking at. (give answer as simplified formula)
tan-1(0.5)
Calculate the surface area to 2 decimal points of a cylinder 7m tall with a 2m radius (pi=3.14)
113.04m2