Types of data
Mean, Median, Mode and Range
Probability
Algebra
Scientific notation and ratios
Fractions, Venn diagrams and index laws
100
Classify the following type of data
Favourite sport
Nominal / Categorical
Categories with no order.
100
Calculate the median of this data
Data: 5, 8, 9, 4, 8, 7, 10
Order the data: 4, 5, 7, 8, 8, 9, 10
Median = middle value(s) = 8
100
A fair die is rolled
What is the probability of rolling a 3?
P(3) = favourable outcomes ÷ total outcomes = 1/6
100
Simplify by collecting like terms
10x − 5 + 2x + 8
12x + 3
100
Write in scientific notation
980000
980000 = 9.8 × 10⁵
100
Simplify
a) x³ × x⁵
b) a⁷ ÷ a²
a) x³ × x⁵ = x³⁺⁵ = x⁸
b) a⁷ ÷ a² = a⁷⁻² = a⁵
200
Number of students absent today
Discrete
A counted number.
200
Calculate the mode of the data
Data: 5, 8, 9, 4, 8, 7, 10
Order the data: 4, 5, 7, 8, 8, 9, 10
Mode = most frequent value = 8
200
A fair die is rolled, what is the probability of rolling an even number?
Even numbers are 2, 4, 6, so
P(even) = 3/6 = 1/2
200
Solve for x
x + 8 = 15
x + 8 = 15
x + 8 -8 = 15 -8
x = 7
200
Write in scientific notation
0.000072
0.000072 = 7.2 × 10⁻⁵
200
Simplify
(x³)²
(x³)² = x³×² = x⁶
300
Hair colour
Nominal / Categorical
Categories with no order.
300
Identify the outlier in the data set below
12, 18, 20, 16, 18,46, 21, 18
46
300
A bag contains:
- 4 red marbles
- 5 blue marbles
- 3 green marbles
- What is the probability of selecting a red marble?
Total marbles = 4 + 5 + 3 = 12
P(red) = 4/12 = 1/3
300
solve for x
4x + 6 = 30
4x + 6 = 30
4x + 6 - 6= 30 - 6
4x ÷ 4 = 24 ÷ 4
x = 6
300
Write in standard form
4.5 × 10³
4.5 × 10³ = 4.5 × 1000 = 4500
300
Simplify
a) 12:18
b) 2.0:3.5
a) 12:18, divide both parts by 6 = 2:3
b) 2.0:3.5 - multiply both sides by 10 to remove decimal
20:35, divide both parts by 5 = 4:7
400
Customer satisfaction: Poor, Fair, Good, Excellent
Ordinal / Categorical
Categories with a clear order.
400
What is an outlier?
"Outliers" are values that " lie out side" most of the other values.
400
A bag contains:
- 4 red marbles
- 5 blue marbles
- 3 green marbles
What is the probability of selecting a red or blue marble?
Red or blue = 4 + 5 = 9, so
P(red or blue) = 9/12 = 3/4
400
7x − 9 = 33
7x − 9 +9= 33 + 9
7x/7 = 42/7
x = 6
400
Write in standard form
7.2 × 10⁻⁴
7.2 × 10⁻⁴ = 0.00072
400
Simplify
1/3 + 1/6
1/3 + 1/6
= 2/6 + 1/6
= 3/6
= 1/2
500
Mass of cats
Numerical - Continuous
500
Calculate the mean of the data
Data: 5, 8, 9, 4, 8, 7, 10
Order the data: 4, 5, 7, 8, 8, 9, 10
Mean = total ÷ number of values = 51 ÷ 7 = 7.28571
500
A bag contains balls numbered 1–15.
What is the probability of selecting an even number?
Total outcomes = 15
Even numbers: 2, 4, 6, 8, 10, 12, 14, so P(even) = 7/15
500
5(2x − 3) + 7 = 3(x + 5)
Expand both sides: 10x - 15 + 7 = 3x + 15
Simplify: 10x - 8 = 3x + 15
Subtract 3x: 7x - 8 = 15
Add 8: 7x = 23
Divide by 7:
x = 23/7 or 3 2/7
500
Write in standard form
9.1 × 10⁵
9.1 × 10⁵ = 910000
500
Draw a Venn diagram of the following information
In a class of 30 students:
- 18 play soccer
- 12 play basketball
- 5 play both
