# 30 Maths Olympiad Questions for Class 7 with Answers
Are you looking for challenging Maths Olympiad questions for Class 7?
Welcome to Olympiad Digital's Class 7 Maths Olympiad Practice Test!
This free practice test contains 30 multiple-choice questions covering important Class 7 mathematics concepts.
These questions are designed to improve:
- Mathematical reasoning
- Problem-solving skills
- Calculation speed
- Logical thinking
- Conceptual understanding
- Application skills
- Higher-order thinking
Try to solve the questions yourself before checking the answers.
Let's begin!
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# 🧮 CLASS 7 MATHS OLYMPIAD PRACTICE TEST
## Question 1 – Integers
Find:
(-8) + 15 = ?
A. -23
B. -7
C. 7
D. 23
Answer: C. 7
Explanation:
15 - 8 = 7.
---
## Question 2 – Integers
Find:
(-12) - (-7) = ?
A. -19
B. -5
C. 5
D. 19
Answer: B. -5
Explanation:
(-12) - (-7)
= -12 + 7
= -5
---
## Question 3 – Integer Multiplication
Find:
(-6) × (-4) = ?
A. -24
B. -10
C. 10
D. 24
Answer: D. 24
Explanation:
The product of two negative numbers is positive.
---
## Question 4 – Fractions
Find:
3/4 + 5/8 = ?
A. 7/8
B. 9/8
C. 11/8
D. 13/8
Answer: C. 11/8
Explanation:
3/4 = 6/8
Therefore:
6/8 + 5/8 = 11/8.
---
## Question 5 – Fractions
Find:
5/6 - 1/3 = ?
A. 1/2
B. 2/3
C. 1/3
D. 5/9
Answer: A. 1/2
Explanation:
1/3 = 2/6
5/6 - 2/6 = 3/6 = 1/2.
---
## Question 6 – Decimals
Find:
4.75 + 2.6 = ?
A. 6.35
B. 7.35
C. 7.25
D. 8.35
Answer: B. 7.35
---
## Question 7 – Exponents
What is:
2⁵ = ?
A. 10
B. 16
C. 25
D. 32
Answer: D. 32
---
## Question 8 – Exponents
Which is equal to 3⁴?
A. 12
B. 27
C. 64
D. 81
Answer: D. 81
---
# 🔢 RATIONAL NUMBERS
## Question 9 – Rational Numbers
Which is the greatest?
A. -1/2
B. -3/4
C. 0
D. -1/4
Answer: C. 0
Explanation:
Zero is greater than all negative numbers.
---
## Question 10 – Rational Numbers
Which number lies between 1/2 and 3/4?
A. 1/4
B. 5/8
C. 7/8
D. 1
Answer: B. 5/8
---
# 🔤 ALGEBRA
## Question 11 – Algebraic Expressions
If x = 5, find:
3x + 7
A. 12
B. 15
C. 22
D. 25
Answer: C. 22
Explanation:
3(5) + 7 = 15 + 7 = 22.
---
## Question 12 – Algebra
Simplify:
5x + 3x
A. 8
B. 8x
C. 15x
D. 5x³
Answer: B. 8x
---
## Question 13 – Simple Equation
Solve:
x + 12 = 25
A. 11
B. 12
C. 13
D. 14
Answer: C. 13
---
## Question 14 – Simple Equation
Solve:
3x = 27
A. 6
B. 7
C. 8
D. 9
Answer: D. 9
---
## Question 15 – Algebra HOTS
If:
2x + 5 = 19
What is x?
A. 5
B. 6
C. 7
D. 8
Answer: B. 7
Explanation:
2x = 14
x = 7.
---
# 📐 LINES AND ANGLES
## Question 16 – Angles
An angle measuring 90° is called:
A. Acute angle
B. Right angle
C. Obtuse angle
D. Straight angle
Answer: B. Right angle
---
## Question 17 – Angles
Two angles are supplementary.
One angle is 65°.
What is the other angle?
A. 105°
B. 115°
C. 125°
D. 135°
Answer: B. 115°
Explanation:
Supplementary angles add up to 180°.
180° - 65° = 115°.
---
## Question 18 – Angles
Two complementary angles add up to:
A. 45°
B. 90°
C. 180°
D. 360°
Answer: B. 90°
---
# 🔺 TRIANGLES
## Question 19 – Triangle
The sum of the angles of a triangle is:
A. 90°
B. 180°
C. 270°
D. 360°
Answer: B. 180°
---
## Question 20 – Triangle HOTS
Two angles of a triangle are 55° and 65°.
Find the third angle.
A. 50°
B. 55°
C. 60°
D. 70°
Answer: C. 60°
Explanation:
Third angle = 180° - (55° + 65°)
= 180° - 120°
= 60°.
---
# 📊 COMPARING QUANTITIES
## Question 21 – Percentage
What is 25% of 200?
A. 25
B. 40
C. 50
D. 75
Answer: C. 50
---
## Question 22 – Percentage
A shirt costs ₹800.
It is sold at a discount of 10%.
What is the discount?
A. ₹40
B. ₹60
C. ₹80
D. ₹100
Answer: C. ₹80
---
## Question 23 – Ratio
The ratio of boys to girls is 3:2.
If there are 18 boys, how many girls are there?
A. 10
B. 12
C. 14
D. 16
Answer: B. 12
Explanation:
3 parts = 18
1 part = 6
2 parts = 12.
---
# 📏 PERIMETER AND AREA
## Question 24 – Perimeter
A rectangle is 12 cm long and 7 cm wide.
Find its perimeter.
A. 19 cm
B. 28 cm
C. 38 cm
D. 84 cm
Answer: C. 38 cm
---
## Question 25 – Area
A rectangle has length 15 cm and breadth 6 cm.
What is its area?
A. 21 cm²
B. 42 cm²
C. 90 cm²
D. 180 cm²
Answer: C. 90 cm²
---
## Question 26 – Area HOTS
A square has an area of 144 cm².
What is the length of each side?
A. 10 cm
B. 11 cm
C. 12 cm
D. 14 cm
Answer: C. 12 cm
---
# 📊 DATA HANDLING
## Question 27 – Data Handling
The marks obtained by five students are:
12, 15, 18, 10, 15
What is the mode?
A. 10
B. 12
C. 15
D. 18
Answer: C. 15
Explanation:
15 occurs most frequently.
---
## Question 28 – Data Handling
Find the mean of:
10, 20, 30, 40
A. 20
B. 25
C. 30
D. 35
Answer: B. 25
Explanation:
(10 + 20 + 30 + 40) ÷ 4
= 100 ÷ 4
= 25.
---
# 🧠 OLYMPIAD HOTS
## Question 29 – Number Puzzle
A number is multiplied by 3 and then 5 is added.
The result is 26.
What is the number?
A. 5
B. 6
C. 7
D. 8
Answer: B. 7
Explanation:
3 × 7 + 5 = 26.
---
## Question 30 – FINAL CHALLENGE
A rectangular garden is 20 m long and 12 m wide.
A path is made around the entire boundary.
If one complete round of the boundary is considered, how far does a person walk?
A. 32 m
B. 54 m
C. 64 m
D. 240 m
Answer: C. 64 m
Explanation:
Perimeter = 2 × (20 + 12)
= 2 × 32
= 64 m.
---
# 🏆 COMPLETE ANSWER KEY
| Q. | Answer | Q. | Answer |
|---|---|---|---|
| 1 | C | 16 | B |
| 2 | B | 17 | B |
| 3 | D | 18 | B |
| 4 | C | 19 | B |
| 5 | A | 20 | C |
| 6 | B | 21 | C |
| 7 | D | 22 | C |
| 8 | D | 23 | B |
| 9 | C | 24 | C |
| 10 | B | 25 | C |
| 11 | C | 26 | C |
| 12 | B | 27 | C |
| 13 | C | 28 | B |
| 14 | D | 29 | B |
| 15 | B | 30 | C |
---
# 📊 CHECK YOUR SCORE
Give yourself 1 mark for every correct answer.
### 🏆 27–30 — MATHS OLYMPIAD CHAMPION
Excellent!
Your mathematical concepts and problem-solving skills are very strong.
### 🌟 23–26 — EXCELLENT
Very good performance.
Keep practising challenging questions.
### 👍 18–22 — VERY GOOD
You have a strong foundation.
Review the questions you got wrong.
### 💪 12–17 — GOOD START
Keep practising important concepts.
### 📚 BELOW 12 — KEEP PRACTISING
Don't worry!
Mistakes are part of learning.
Revise the concepts and try the test again.
---
# 🎯 IMPORTANT CLASS 7 MATHS OLYMPIAD TOPICS
Students should practise:
- Integers
- Fractions and Decimals
- Exponents and Powers
- Rational Numbers
- Algebraic Expressions
- Simple Equations
- Lines and Angles
- Comparing Quantities
- Triangles
- Perimeter and Area
- Data Handling
- Symmetry
- Visualising Solid Shapes
- Mathematical Reasoning
- HOTS Questions
---
# 🧠 HOW TO PREPARE FOR CLASS 7 MATHS OLYMPIAD
## 1. Understand the Concept
Don't simply memorise formulas.
Understand why the formula works.
## 2. Practise Different Question Types
Olympiad questions often require application rather than direct recall.
## 3. Improve Calculation Speed
Practise basic calculations regularly.
## 4. Learn From Mistakes
Maintain a small "Mistake Book".
Write down:
- Question
- Your wrong answer
- Correct answer
- Reason for the mistake
## 5. Practise HOTS
Try questions that require more than one step.
---
# ⏰ 20-MINUTE DAILY MATHS PLAN
### 5 Minutes
Revise one concept.
### 5 Minutes
Solve 5 basic questions.
### 5 Minutes
Solve 2 challenging questions.
### 5 Minutes
Review mistakes.
---
# 🏆 GOLDEN RULE
## UNDERSTAND → PRACTISE → THINK → SOLVE → CHECK
Don't rush.
Accuracy comes first.
Speed improves with practice.
---
# 👨👩👧 PARENT TIP
Instead of asking:
"How many questions did you solve?"
Ask:
"How did you solve it?"
"Can you solve it another way?"
"Why is your answer correct?"
"What mistake did you make?"
These questions help develop mathematical thinking.
---
# 🧠 CHALLENGE YOURSELF
Try these without looking at the answers:
### Challenge 1
Find the next number:
2, 6, 12, 20, 30, ___
### Challenge 2
Solve:
5x - 7 = 18
### Challenge 3
A triangle has angles 45° and 75°.
Find the third angle.
### Challenge 4
Find 15% of ₹600.
### Challenge 5
A square has a perimeter of 48 cm.
Find its area.
---
# 📈 TRACK YOUR PROGRESS
| Test | Score | Accuracy |
|---|---:|---:|
| Test 1 | 18/30 | 60% |
| Test 2 | 21/30 | 70% |
| Test 3 | 24/30 | 80% |
| Test 4 | 27/30 | 90% |
| Test 5 | 30/30 | 100% |
Your goal:
## FROM 60% → 70% → 80% → 90% → 100%
---
# 🌟 MORE OLYMPIAD RESOURCES FROM OLYMPIAD DIGITAL
### CLASS 7
👉 30 Science Olympiad Questions for Class 7
👉 30 Reasoning Olympiad Questions for Class 7
👉 50 Class 7 Mixed Olympiad Mock Test
### CLASS 6
👉 30 Maths Olympiad Questions for Class 6
👉 30 Science Olympiad Questions for Class 6
👉 30 Reasoning Olympiad Questions for Class 6
👉 50 Class 6 Mixed Olympiad Mock Test
### CLASS 5
👉 30 Maths Olympiad Questions for Class 5
👉 30 Science Olympiad Questions for Class 5
👉 30 Reasoning Olympiad Questions for Class 5
👉 50 Class 5 Mixed Olympiad Mock Test
### PREPARATION GUIDES
👉 How to Start Olympiad Preparation from Class 1
👉 How to Prepare for Olympiad Exams at Home
👉 Olympiad Exam Syllabus for Classes 1–12
👉 Olympiad Books and Study Resources
---
# 📚 FINAL THOUGHTS
Mathematics is not about memorising hundreds of formulas.
It is about understanding patterns, making connections and solving problems logically.
Keep practising.
Keep questioning.
Keep improving.
Remember:
### 🧮 LEARN
### 🧠 THINK
### ✏️ SOLVE
### 🔍 CHECK
### 🏆 IMPROVE
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