1. Numbers and Number Types
Natural Numbers
Counting numbers starting from 1
Example: 1, 2, 3, 4, …
Whole Numbers
Natural numbers including zero
Example: 0, 1, 2, 3, …
Integers
Positive and negative whole numbers
Includes zero
Example: −3, −2, −1, 0, 1, 2, 3
Fractions
Written as a/b
Represents part of a whole
Example: 1/2, 3/4, 5/8
Decimals
Numbers with a decimal point
Example: 0.5, 2.75, 10.04
Percentages
Means “out of 100”
Written using the % symbol
Example: 25%, 50%, 75%
2. Basic Mathematical Operations
Addition (+)
Combines numbers together
Example: 4 + 6 = 10
Subtraction (−)
Finds the difference between numbers
Example: 9 − 4 = 5
Multiplication (×)
, Repeated addition
Example: 3 × 4 = 12
Division (÷)
Sharing equally
Example: 12 ÷ 3 = 4
Practice Questions – Mathematics
Section A: Numbers
1. Write 3 examples of integers.
2. Convert 0.75 to a fraction.
3. Convert 20% to a decimal.
Section B: Fractions & Percentages
1. Simplify: 6/12
2. Find 25% of 80
3. Convert 3/5 to a percentage.
Section C: Algebra
1. Solve: x + 7 = 15
2. Solve: 2x = 10
3. Substitute x = 4 into 3x + 2
Section D: Geometry
1. Find the area of a rectangle with length 6 cm and width 4 cm.
Answers
1. −2, 0, 5
2. 3/4
3. 0.20
4. 1/2
5. 20
6. 60%
7. x = 8
8. x = 5
9. 14
10. 24 cm²
Fractions, Decimals & Percentages
Natural Numbers
Counting numbers starting from 1
Example: 1, 2, 3, 4, …
Whole Numbers
Natural numbers including zero
Example: 0, 1, 2, 3, …
Integers
Positive and negative whole numbers
Includes zero
Example: −3, −2, −1, 0, 1, 2, 3
Fractions
Written as a/b
Represents part of a whole
Example: 1/2, 3/4, 5/8
Decimals
Numbers with a decimal point
Example: 0.5, 2.75, 10.04
Percentages
Means “out of 100”
Written using the % symbol
Example: 25%, 50%, 75%
2. Basic Mathematical Operations
Addition (+)
Combines numbers together
Example: 4 + 6 = 10
Subtraction (−)
Finds the difference between numbers
Example: 9 − 4 = 5
Multiplication (×)
, Repeated addition
Example: 3 × 4 = 12
Division (÷)
Sharing equally
Example: 12 ÷ 3 = 4
Practice Questions – Mathematics
Section A: Numbers
1. Write 3 examples of integers.
2. Convert 0.75 to a fraction.
3. Convert 20% to a decimal.
Section B: Fractions & Percentages
1. Simplify: 6/12
2. Find 25% of 80
3. Convert 3/5 to a percentage.
Section C: Algebra
1. Solve: x + 7 = 15
2. Solve: 2x = 10
3. Substitute x = 4 into 3x + 2
Section D: Geometry
1. Find the area of a rectangle with length 6 cm and width 4 cm.
Answers
1. −2, 0, 5
2. 3/4
3. 0.20
4. 1/2
5. 20
6. 60%
7. x = 8
8. x = 5
9. 14
10. 24 cm²
Fractions, Decimals & Percentages
