EOY Review

Probability

100

Find the probability of rolling an even number on a fair die

1/3

200

Probability of flipping 3 coins and them all being heads

1/8

300

50 students were surveyed on whether they spoke English at their home. 64% of students responded Yes. How many responded No?

18 students

400

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?

12% of students don't have either

500

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

Indicies

100

Simplify:
3x*x²

3x³

200

Simplify:
(2x⁴)²

4x⁸

300

Solve:
x⁶/x⁴=49

x=7

400

How many significant figures are in these
1. 0.0006
2. 362000
3. 2541

1. 1
2. 3
3. 4

500

Convert these numbers into scientific notation:

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

Algebra

100

Find x:
2x+4=14

x=5

200

Find x:
(4+3x)/2=11

x=6

300

Factorise:
4x²+8x

4x(x+2)

400

Expand and solve:
4(x+3)=24

x=2.5

500

Expand:
1. (3x+2)(x+4)
2. (2x+5)(3-4x)

1. 3x²+14x+8
2. -8x²-14x+15

Trigonometry

100

I have the adjacent and hypotenuse. Which trigonometric function can I use?

Cosine

200

Length of hypotenuse of a right angle triangle with side lengths 3 and 4

5

300

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)

400

What's the length of the longest diagonal in a box 8m x 7m x 11m

sqrt(234)

500

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)

Measurement

100

Area of a square 7 meters long

49m²

200

Area of a triangle with base of 5cm and height of 12cm

30cm²

300

Find the surface area and volume of a cube 5 meters long

Surface Area: 150m²
Volume: 125m³

400

Calculate the surface area of a rectangular prism with dimensions 3m x 2m x 5m

62m²

500

Calculate the surface area to 2 decimal points of a cylinder 7m tall with a 2m radius (pi=3.14)

113.04m²