Easy & Fun Learning for Kids
✏️ IGCSE Maths Tutorial – Learn Maths the Fun Way
Welcome to our Maths Tutorial page! Here, children learn maths step by step with simple explanations, examples, and friendly teaching methods.
Our IGCSE Maths Tutorial is specially designed for students from Grade 1 to Grade 10. Each lesson focuses on clear understanding, practice, and confidence building.
Maths tutorials are explained in an easy and child-friendly language so students can enjoy learning without fear. Concepts are broken down into small steps, making learning smooth and effective.
📚 What Will You Learn in Maths Tutorials?
- ✔ Numbers, addition, subtraction, multiplication & division
- ✔ Fractions, decimals, and percentages
- ✔ Algebra basics and equations
- ✔ Geometry, shapes, and measurements
- ✔ Word problems and logical thinking
🌟 Why Our Maths Tutorial is Perfect for Children
✔ Simple explanations for young minds
✔ Step-by-step teaching style
✔ Based on latest IGCSE curriculum
✔ Helps improve confidence and accuracy
✔ Useful for students, parents, and teachers
🧮 Maths Tutorials by Class
Choose your class and start learning maths step by step:
Exercise 8.2 – Fractions and the Correct Order of Operations
Question (a)
2 1/8 + (1 1/2 − 1/4)
Working:
1 1/2 − 1/4
= 64 − 14
= 54
= 1 1/4
2 1/8 + 1 1/4
= 2 1/8 + 1 28
= 3 3/8
Answer: 3 3/8
Question (b)
3 + 2/3 × 4/5
Working:
2/3 × 4/5
= 2 × 43 × 5
= 815
3 + 815
= 3 815
Answer: 3 8/15
Question (c)
2² ÷ 3/5 − 1 5/6
Working:
2² = 4
4 ÷ 35
= 4 × 53
= 203
1 5/6 = 116
203 = 406
406 − 116
= 296 = 4 5/6
Answer: 4 5/6
Exercise 8.3 – Multiplying Fractions
Rule: While multiplying fractions, cancel common factors first, then multiply.
Example
Calculate: 34 × 20
Working:
20 = 4 × 5
34 × 4 × 5
(Cancelling 4)
3 × 5
= 15
Answer: 15
Question 1: Copy and complete the working
(a)
32 × 12
Working:
12 = 3 × 4
32 × 3 × 4
(Cancelling 3)
12 × 4
= 6
Answer: 6
(b)
35 × 20
Working:
20 = 5 × 4
35 × 5 × 4
(Cancelling 5)
3 × 4
= 12
Answer: 12
(c)
56 × 18
Working:
18 = 6 × 3
56 × 6 × 3
(Cancelling 6)
5 × 3
= 15
Answer: 15
Question 2: Work out these multiplications
(a)
14 × 18
Working:
18 = 6 × 3
14 × 6 × 3
= 64 × 3
= 184
= 4 12
Answer: 4 1/2
(b)
38 × 10
Working:
10 = 5 × 2
38 × 5 × 2
= 308
= 3 34
Answer: 3 3/4
Remember
✔ Always cancel common factors first
✔ Multiply the remaining numbers
✔ Convert the final answer into a mixed number if required
✔ Write steps neatly in exams
Exercise 8.4 – Dividing Fractions
Rule
When we divide by a fraction, we turn the fraction upside down and multiply.
Focus – Question 1
Match each division with the correct multiplication.
A. 12 ÷ 34 = 12 × 43
B. 12 ÷ 35 = 12 × 53
C. 12 ÷ 14 = 12 × 41
D. 12 ÷ 53 = 12 × 35
E. 12 ÷ 43 = 12 × 34
Focus – Question 2
(a) 12 ÷ 23
Working:
= 12 × 32
= 6 × 2 × 32
(Cancelling 2)
= 6 × 3
= 18
Answer: 18
(b) 18 ÷ 34
= 18 × 43
= 6 × 3 × 43
(Cancelling 3)
= 6 × 4
= 24
Answer: 24
Practice – Question 6
(a)
34 ÷ 45
= 34 × 54
= 1516
Answer: 15/16
(b)
56 ÷ 15
= 56 × 51
= 256
= 4 16
Answer: 4 1/6
Question 9 – Statement Check
Sofia says: “If I divide a proper fraction by a different proper fraction, the answer will always be a proper fraction.”
Explanation:
This statement is incorrect because dividing by a proper fraction means multiplying by its reciprocal, which is greater than 1.
Challenge – Question 11
(a)
(1 − 34) ÷ (1 − 27)
= 14 ÷ 57
= 14 × 75
= 720
Answer: 7/20
Remember
✔ Always change division to multiplication
✔ Flip the second fraction (reciprocal)
✔ Cancel common factors
✔ Show neat steps in exams
Exercise 8.5 – Making Calculations Easier
Focus – Question 1
Work out the answer to each calculation. Some working has been shown.
(a)
( 12 + 1.5 )² + 9
= ( 12 + 1 12 )²
= ( 2 )²
= 4
= 4 + 9 = 13
Answer: 13
(b)
( 2 35 − 0.6 )³ − 3
0.6 = 35
= ( 2 35 − 35 )³
= ( 2 )³
= 8 − 3 = 5
Answer: 5
(c)
5² − ( 4 14 + 0.75 )
0.75 = 34
= 5² − ( 4 14 + 34 )
= 25 − 5
= 20
Answer: 20
Focus – Question 2
Work out these calculations. Use the same strategy as Question 1.
(a)
10 × ( 2.5 + 5 12 )
2.5 = 2 12
= 10 × 8 = 80
Answer: 80
(b)
( 3.3 + 5 710 )²
3.3 = 3 310
= ( 9 )²
= 81
Answer: 81
Practice – Question 5
Work out the volume of this cuboid.
Length = 20 cm, Width = 2.5 cm, Height = 3.5 cm
Volume = l × w × h
= 20 × 2.5 × 3.5
= 175 cm³
Answer: 175 cm³
Practice – Question 6
(a)
0.44 × 5²
0.44 = 44100
= 44100 × 25
= 11
Answer: 11
Practice – Question 8
The diagram shows a triangle. Work out the area.
Area = 12 × base × height
= 12 × 3.6 × 49
= 0.8 m²
Answer: 0.8 m²
Practice – Question 9
Work out the area of each circle.
(a)
π = 227, radius = 3.5 cm
Area = πr²
= 227 × 3.5²
= 38.5 cm²
Answer: 38.5 cm²
Formula Question
(a)
r = 3.5 cm, h = 12 cm, π = 227
V = 13 × 227 × 3.5² × 12
= 154 cm³
Answer: 154 cm³
Remember
✔ Change decimals to fractions when helpful
✔ Use brackets and powers first
✔ Simplify step by step
✔ Write neat working for full marks