100 MCQs IMO Grade 7 Practice Questions
IMO Grade 7 Math Practice Questions (100 MCQs with Answer Key)
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| 100 Maths Practice Questions for IMO Grade 7 with Answer Key and All Sections Covered |
If you are preparing for the International Mathematics Olympiad (IMO) for Class 7, consistent practice is the key to success. The IMO exam tests not just formulas, but logical thinking, pattern recognition, and real-life mathematical application.
In this post, you’ll find a complete set of 100 carefully designed multiple-choice questions based on the latest IMO pattern. These questions cover logical reasoning, mathematical reasoning, everyday mathematics, and achievers-level problems.
This set is ideal for students who want to strengthen concepts and improve speed and accuracy.
Exam Pattern Covered
This practice set follows the standard IMO structure:
- Logical Reasoning
- Mathematical Reasoning
- Everyday Mathematics
- Achievers Section
Each section gradually increases in difficulty to help students build confidence step by step.
IMO practice questions class 7 100 MCQs
Find the missing figure in the given figure matrix (pattern: rotation of 90° clockwise each step).
Which option completes the matrix?
(A) Square rotated 90°
(B) Square rotated 180°
(C) Square rotated 270°
(D) Same as original
If ‘+’ means ‘÷’, ‘–’ means ‘×’, ‘×’ means ‘+’ and ‘÷’ means ‘–’, then evaluate:
320 ÷ 80 + 20 × 5 – 60 = ?
(A) 100
(B) 20
(C) 60
(D) –20
In a certain code language, TRAIN is written as USBJO. How is PLANE written?
(A) QMBOD
(B) QMBNF
(C) QMBOF
(D) QLBOF
Find the odd one out:
(A) 16
(B) 25
(C) 36
(D) 48
Complete the series:
3, 9, 27, 81, ?
(A) 162
(B) 243
(C) 324
(D) 729
Solve for x:
5x – 7 = 3x + 9
(A) 8
(B) 7
(C) 6
(D) 5
If 40% of 600 ÷ 50% of 400 = k : (k + 2), find k.
(A) 2
(B) 3
(C) 4
(D) 5
The sum of two numbers is 50 and their difference is 10. Find the larger number.
(A) 30
(B) 25
(C) 20
(D) 35
In the given figure, two parallel lines are cut by a transversal. If one angle is 65°, find its corresponding angle.
(A) 65°
(B) 115°
(C) 35°
(D) 125°
Find the value of:
(3/4) + (5/8)
(A) 1
(B) 11/8
(C) 9/8
(D) 7/8
A sum of ₹3000 is invested at 10% per annum for 2 years. Find the simple interest.
(A) ₹600
(B) ₹500
(C) ₹400
(D) ₹300
A shopkeeper sells an item for ₹1200 after giving a discount of ₹300. Find the marked price.
(A) ₹1500
(B) ₹1400
(C) ₹1600
(D) ₹1300
The temperature was –4°C in the morning. It decreased by 6°C and then increased by 8°C. What is the final temperature?
(A) –2°C
(B) –4°C
(C) –6°C
(D) 2°C
A train travels 60 km in 1 hour. How much distance will it cover in 3.5 hours?
(A) 180 km
(B) 200 km
(C) 210 km
(D) 240 km
Find the cost of 8 pens if one pen costs ₹15.
(A) ₹100
(B) ₹120
(C) ₹110
(D) ₹90
In a rectangle, P = 1/4 of the whole, Q = 1/2 of P, and R = 2 × Q. What fraction of the whole is R?
(A) 1/4
(B) 1/2
(C) 1/8
(D) 3/8
If a : b = 3 : 5 and b : c = 10 : 7, find a : b : c.
(A) 3 : 5 : 7
(B) 6 : 10 : 7
(C) 6 : 10 : 14
(D) 3 : 10 : 7
Solve:
2x + 5 = 3(x – 1)
(A) 8
(B) 7
(C) 6
(D) 5
Statement I: If a : b = c : d, then ad = bc
Statement II: If a : b = 2 : 3 and b : c = 3 : 4, then a : b : c = 2 : 3 : 4
(A) Both statements are true
(B) Statement I is true but Statement II is false
(C) Statement I is false but Statement II is true
(D) Both statements are false
A number is increased by 20% and then decreased by 20%. What is the net change?
(A) No change
(B) 4% decrease
(C) 4% increase
(D) 2% decrease
Find the missing number in the series:
5, 11, 23, 47, ?
(A) 91
(B) 95
(C) 99
(D) 103
If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’ and ‘÷’ means ‘+’, then evaluate:
144 + 12 – 6 × 3 ÷ 2 = ?
(A) 66
(B) 72
(C) 54
(D) 60
In a certain code language, LIGHT is written as MJHIU. How is SOUND written?
(A) TPVOE
(B) TPVNE
(C) TPVOD
(D) TOVOE
Find the odd one out:
(A) 64
(B) 125
(C) 216
(D) 250
Complete the series:
2, 6, 7, 21, 22, 66, ?
(A) 67
(B) 68
(C) 132
(D) 198
MATHEMATICAL REASONING
Solve for x:
7x + 5 = 3x + 29
(A) 4
(B) 5
(C) 6
(D) 7
If 25% of 800 ÷ 40% of 500 = k : (k + 1), find k.
(A) 1
(B) 2
(C) 3
(D) 4
The perimeter of a rectangle is 60 cm and its length is 20 cm. Find its breadth.
(A) 10 cm
(B) 15 cm
(C) 20 cm
(D) 25 cm
In parallel lines cut by a transversal, if one interior angle is 110°, find the corresponding angle.
(A) 70°
(B) 110°
(C) 90°
(D) 120°
Find the value of:
(7/12) – (1/4)
(A) 1/3
(B) 1/2
(C) 5/12
(D) 2/3
A sum of ₹4000 is invested at 5% per annum for 3 years. Find simple interest.
(A) ₹600
(B) ₹500
(C) ₹700
(D) ₹800
A shopkeeper marks an item at ₹1500 and gives a discount of 20%. Find the selling price.
(A) ₹1200
(B) ₹1300
(C) ₹1250
(D) ₹1100
The temperature was –6°C. It dropped by 4°C and then rose by 9°C. Final temperature?
(A) –1°C
(B) –2°C
(C) –3°C
(D) 1°C
A car travels 80 km in 2 hours. How far will it travel in 5 hours at the same speed?
(A) 160 km
(B) 180 km
(C) 200 km
(D) 220 km
Find the cost of 12 notebooks if one notebook costs ₹25.
(A) ₹250
(B) ₹275
(C) ₹300
(D) ₹320
In a figure, P = 1/5 of the whole, Q = 2 × P, and R = Q/2. What fraction of the whole is R?
(A) 1/5
(B) 2/5
(C) 1/10
(D) 3/5
If a : b = 4 : 7 and b : c = 14 : 9, find a : b : c.
(A) 4 : 7 : 9
(B) 8 : 14 : 9
(C) 8 : 14 : 18
(D) 4 : 14 : 9
Solve:
3(x + 2) = 2x + 11
(A) 3
(B) 4
(C) 5
(D) 6
Statement I: The product of two rational numbers is always rational
Statement II: The sum of two irrational numbers is always irrational
(A) Both statements are true
(B) Statement I is true but Statement II is false
(C) Statement I is false but Statement II is true
(D) Both statements are false
A number is increased by 25% and then decreased by 20%. What is the net change?
(A) No change
(B) 5% increase
(C) 5% decrease
(D) 10% increase
Find the missing number in the series:
7, 15, 31, 63, ?
(A) 95
(B) 111
(C) 127
(D) 135
If ‘+’ means ‘×’, ‘–’ means ‘+’, ‘×’ means ‘–’ and ‘÷’ means ‘÷’, then evaluate:
50 + 10 – 5 × 6 ÷ 3 = ?
(A) 40
(B) 50
(C) 60
(D) 70
In a certain code language, BRIGHT is written as CSJHIU. How is CLOUD written?
(A) DMPVE
(B) DMQVE
(C) DMPVF
(D) DMPUD
Find the odd one out:
(A) 9
(B) 27
(C) 81
(D) 100
Complete the series:
4, 6, 9, 13, 18, ?
(A) 22
(B) 23
(C) 24
(D) 25
MATHEMATICAL REASONING
Solve for x:
4x – 9 = 3x + 5
(A) 10
(B) 12
(C) 14
(D) 16
If 60% of 500 ÷ 25% of 400 = k : (k + 3), find k.
(A) 2
(B) 3
(C) 4
(D) 5
The sum of two numbers is 72 and their difference is 8. Find the smaller number.
(A) 32
(B) 30
(C) 28
(D) 34
In parallel lines, if one angle is 75°, find its co-interior angle.
(A) 75°
(B) 105°
(C) 90°
(D) 115°
Find the value of:
(5/6) + (7/12)
(A) 1
(B) 17/12
(C) 19/12
(D) 13/12
A sum of ₹2500 is invested at 8% per annum for 2 years. Find simple interest.
(A) ₹300
(B) ₹400
(C) ₹350
(D) ₹320
A shopkeeper marks an item at ₹2000 and gives a discount of 15%. Find the selling price.
(A) ₹1700
(B) ₹1600
(C) ₹1800
(D) ₹1750
The temperature was –8°C. It increased by 5°C and then decreased by 3°C. Final temperature?
(A) –6°C
(B) –5°C
(C) –4°C
(D) –3°C
A bike travels 90 km in 3 hours. How far will it travel in 7 hours?
(A) 180 km
(B) 200 km
(C) 210 km
(D) 220 km
Find the total cost of 15 pens if one pen costs ₹12.
(A) ₹160
(B) ₹170
(C) ₹180
(D) ₹190
In a figure, P = 1/6 of the whole, Q = 3 × P, and R = Q/3. What fraction of the whole is R?
(A) 1/6
(B) 1/3
(C) 1/2
(D) 1/9
If a : b = 5 : 8 and b : c = 16 : 9, find a : b : c.
(A) 5 : 8 : 9
(B) 10 : 16 : 9
(C) 10 : 16 : 18
(D) 5 : 16 : 9
Solve:
4(x – 1) = 2x + 6
(A) 4
(B) 5
(C) 6
(D) 7
Statement I: The difference of two integers is always an integer
Statement II: The quotient of two integers is always an integer
(A) Both statements are true
(B) Statement I is true but Statement II is false
(C) Statement I is false but Statement II is true
(D) Both statements are false
A number is increased by 50% and then decreased by 40%. What is the net change?
(A) 10% increase
(B) 10% decrease
(C) No change
(D) 20% decrease
Find the missing number in the series:
6, 13, 27, 55, ?
(A) 99
(B) 101
(C) 111
(D) 113
If ‘+’ means ‘÷’, ‘–’ means ‘+’, ‘×’ means ‘–’ and ‘÷’ means ‘×’, then evaluate:
180 + 60 – 12 × 4 ÷ 6 = ?
(A) 30
(B) 36
(C) 24
(D) 18
In a certain code language, TABLE is written as UBCMF. How is CHAIR written?
(A) DIBJS
(B) DIBIR
(C) DJBIS
(D) DIBKR
Find the odd one out:
(A) 121
(B) 144
(C) 169
(D) 196
(E) 225
Complete the series:
1, 4, 9, 16, 25, ?
(A) 30
(B) 35
(C) 36
(D) 40
MATHEMATICAL REASONING
Solve for x:
6x + 4 = 2x + 20
(A) 2
(B) 3
(C) 4
(D) 5
If 30% of 900 ÷ 45% of 600 = k : (k + 2), find k.
(A) 1
(B) 2
(C) 3
(D) 4
The sum of two numbers is 90 and their difference is 20. Find the larger number.
(A) 50
(B) 55
(C) 60
(D) 65
In parallel lines cut by a transversal, if one angle is 120°, find the co-interior angle.
(A) 60°
(B) 120°
(C) 90°
(D) 180°
Find the value of:
(9/10) – (3/5)
(A) 1/2
(B) 3/10
(C) 1/5
(D) 2/5
A sum of ₹3500 is invested at 12% per annum for 2 years. Find simple interest.
(A) ₹700
(B) ₹840
(C) ₹900
(D) ₹1000
A shopkeeper marks an item at ₹2500 and gives a discount of 10%. Find the selling price.
(A) ₹2250
(B) ₹2200
(C) ₹2300
(D) ₹2400
The temperature was –10°C. It increased by 7°C and then decreased by 5°C. Final temperature?
(A) –8°C
(B) –7°C
(C) –6°C
(D) –5°C
A bus travels 120 km in 3 hours. How far will it travel in 6 hours at the same speed?
(A) 200 km
(B) 220 km
(C) 240 km
(D) 260 km
Find the total cost of 18 pencils if one pencil costs ₹8.
(A) ₹134
(B) ₹144
(C) ₹152
(D) ₹160
In a figure, P = 1/8 of the whole, Q = 4 × P, and R = Q/2. What fraction of the whole is R?
(A) 1/4
(B) 1/2
(C) 1/8
(D) 3/8
If a : b = 6 : 11 and b : c = 22 : 13, find a : b : c.
(A) 6 : 11 : 13
(B) 12 : 22 : 13
(C) 12 : 22 : 26
(D) 6 : 22 : 13
Solve:
5(x + 2) = 3x + 16
(A) 2
(B) 3
(C) 4
(D) 5
Statement I: The sum of two integers is always an integer
Statement II: The product of two rational numbers is always rational
(A) Both statements are true
(B) Statement I is true but Statement II is false
(C) Statement I is false but Statement II is true
(D) Both statements are false
A number is increased by 10% and then increased again by 20%. What is the net increase?
(A) 30%
(B) 32%
(C) 28%
(D) 25%
Find the missing number in the series:
8, 17, 35, 71, ?
(A) 120
(B) 135
(C) 143
(D) 155
If ‘+’ means ‘×’, ‘–’ means ‘÷’, ‘×’ means ‘+’ and ‘÷’ means ‘–’, then evaluate:
200 + 50 – 25 × 5 ÷ 5 = ?
(A) 55
(B) 65
(C) 45
(D) 75
In a certain code language, PLANT is written as QMBOV. How is HOUSE written?
(A) IPVTF
(B) IPVSE
(C) IPVTF
(D) IPUTF
Find the odd one out:
(A) 8
(B) 27
(C) 64
(D) 125
(E) 150
Complete the series:
10, 20, 40, 80, ?
(A) 120
(B) 140
(C) 160
(D) 180
Solve for x:
8x – 6 = 2x + 18
(A) 2
(B) 3
(C) 4
(D) 5
If 20% of 800 ÷ 40% of 500 = k : (k + 4), find k.
(A) 1
(B) 2
(C) 3
(D) 4
The sum of two numbers is 100 and their difference is 40. Find the smaller number.
(A) 20
(B) 30
(C) 40
(D) 50
In parallel lines cut by a transversal, if one angle is 85°, find the co-interior angle.
(A) 95°
(B) 85°
(C) 105°
(D) 90°
Find the value of:
(11/12) + (5/6)
(A) 15/12
(B) 21/12
(C) 19/12
(D) 17/12
A sum of ₹5000 is invested at 6% per annum for 2 years. Find simple interest.
(A) ₹500
(B) ₹600
(C) ₹700
(D) ₹800
A shopkeeper marks an item at ₹3000 and gives a discount of 25%. Find the selling price.
(A) ₹2000
(B) ₹2250
(C) ₹2400
(D) ₹2500
The temperature was –12°C. It increased by 8°C and then decreased by 4°C. Final temperature?
(A) –6°C
(B) –8°C
(C) –4°C
(D) –10°C
A train travels 150 km in 3 hours. How far will it travel in 5 hours at the same speed?
(A) 200 km
(B) 225 km
(C) 250 km
(D) 275 km
Find the total cost of 25 pens if one pen costs ₹12.
(A) ₹250
(B) ₹275
(C) ₹300
(D) ₹320
In a figure, P = 1/10 of the whole, Q = 5 × P, and R = Q/5. What fraction of the whole is R?
(A) 1/10
(B) 1/5
(C) 1/2
(D) 1/20
If a : b = 7 : 9 and b : c = 18 : 5, find a : b : c.
(A) 7 : 9 : 5
(B) 14 : 18 : 5
(C) 14 : 18 : 10
(D) 7 : 18 : 5
Solve:
6(x – 1) = 3x + 9
(A) 3
(B) 4
(C) 5
(D) 6
Statement I: The product of two integers is always an integer
Statement II: The quotient of two rational numbers is always rational
(A) Both statements are true
(B) Statement I is true but Statement II is false
(C) Statement I is false but Statement II is true
(D) Both statements are false
A number is decreased by 20% and then increased by 25%. What is the net change?
(A) No change
(B) 5% increase
(C) 5% decrease
(D) 10% increase
Answer Key
1-A, 2-D, 3-C, 4-D, 5-B, 6-A, 7-A, 8-A, 9-A, 10-A
11-A, 12-B, 13-A, 14-A, 15-B, 16-A, 17-B, 18-B, 19-B, 20-B
21-B, 22-D, 23-A, 24-D, 25-A, 26-C, 27-B, 28-A, 29-B, 30-A
31-A, 32-A, 33-A, 34-C, 35-C, 36-A, 37-B, 38-C, 39-B, 40-B
41-C, 42-B, 43-A, 44-D, 45-B, 46-C, 47-C, 48:A, 49:B, 50:D
51:B, 52:A, 53:A, 54:C, 55:C, 56:A, 57:B, 58:A, 59:B, 60:A
61:D, 62:B, 63:A, 64:E, 65:C, 66:C, 67:B, 68:B, 69:A, 70:B
71:B, 72:A, 73:A, 74:C, 75:B, 76:A, 77:B, 78:B, 79:A, 80:B
81:C, 82:B, 83:A, 84:E, 85:C, 86:C, 87:B, 88:B, 89:A, 90:B
91:B, 92:B, 93:B, 94:C, 95:C, 96:A, 97:B, 98:C, 99:A, 100:A
