Important Questions Class 7 Maths are mixed practice questions from the Ganita Prakash 2026-27 syllabus that test calculation, reasoning, patterns, geometry, data handling, fractions, decimals, integers, and algebra.
Students should practise questions that ask them to compare, explain, find mistakes, create examples, and solve the same problem through more than one method.
Class 7 Maths in the 2026-27 syllabus expects students to think, test, explain, and correct their own methods. Ganita Prakash Part I covers large numbers, arithmetic expressions, decimals, letter-numbers, lines, number play, triangles, and fractions. Part II moves into congruent figures, integer operations, common factors, common multiples, decimal operations, data handling, constructions, tilings, and simple equations. Important Questions Class 7 Maths gives students 50 solved questions in one continuous practice flow. The set includes calculation, comparison, error correction, pattern spotting, diagrams, and word problems for CBSE 2026 school exam preparation.
Key Takeaways
- Ganita Prakash 2026-27: Class 7 Maths has two parts with 15 chapters across numbers, geometry, data, and algebra.
- Challenge Practice: Students need reasoning-based questions where the method matters as much as the final answer.
- School Exam Focus: CBSE Class 7 Maths Important Questions can include calculations, word problems, diagrams, explanations, and mistake correction.
- Strong Revision: The best practice set mixes direct sums with “explain why”, “find the error”, and “compare without full calculation” tasks.
Important Questions Class 7 Maths Structure 2026
| Area |
Main Concepts |
Practice Focus |
| Numbers and Operations |
Large numbers, decimals, fractions, integers, HCF, LCM |
Accuracy, place value, signs, comparison |
| Geometry and Measurement |
Lines, triangles, congruence, constructions, tilings |
Drawing, angle logic, shape reasoning |
| Algebra and Data |
Letter-numbers, equations, mean, median, mode |
Substitution, steps, interpretation |
Class 7 Maths Important Questions With Answers
These Class 7 Maths Important Questions With Answers move in one continuous sequence. They cover Ganita Prakash Part I and Part II without restarting numbering under each chapter.
1. Which is greater: 8 crore or 80 million?
They are equal.
1 crore = 10 million
8 crore = 80 million
This question checks whether students can move between Indian and international place value systems. Such conversions are useful in large-number questions.
Answer: 8 crore = 80 million
2. Make the greatest 8-digit number using 0, 2, 4, 5, 6, 7, 8, 9 once each.
Place the largest digits from left to right.
9, 8, 7, 6, 5, 4, 2, 0
The zero should come at the end because it has the lowest value among the given digits.
Answer: 98,765,420
3. Make the smallest 8-digit number using 0, 2, 4, 5, 6, 7, 8, 9 once each.
The first digit must be the smallest non-zero digit.
2, 0, 4, 5, 6, 7, 8, 9
Zero cannot be placed first because then the number will become a 7-digit number.
Answer: 20,456,789
4. A student writes 30 + 5 × 4 = 140. Find the mistake.
The student grouped 30 + 5 first, although the expression has brackets around neither number.
Correct working:
30 + 5 × 4 = 30 + 20
= 50
Multiplication is treated as one term here, so 5 × 4 is solved before adding 30.
Answer: The correct value is 50.
5. Find the value of (30 + 5) × 4.
Solve the bracket first.
(30 + 5) × 4 = 35 × 4
= 140
This question shows how brackets can completely change the value of an expression.
Answer: 140
6. Without full calculation, compare 273 – 145 and 272 – 144.
Both expressions are equal.
The first expression starts 1 higher and subtracts 1 more. These changes balance each other.
273 – 145 = 128
272 – 144 = 128
Answer: 273 – 145 = 272 – 144
7. Without full calculation, compare 364 + 587 and 363 + 589.
The second expression is greater.
The first number decreases by 1, while the second number increases by 2. The total increases by 1.
Answer: 364 + 587 < 363 + 589
8. Remove brackets: 500 – (250 – 100).
A minus sign before brackets changes the signs inside.
500 – (250 – 100) = 500 – 250 + 100
= 350
This is a common arithmetic expression trap.
Answer: 350
9. Remove brackets: 100 – (15 + 56).
Change the signs inside the bracket.
100 – (15 + 56) = 100 – 15 – 56
= 29
Both terms inside the bracket become subtracted because of the minus sign outside.
Answer: 29
10. Create three expressions with value 24.
Examples:
12 + 12 = 24
4 × 6 = 24
48 ÷ 2 = 24
This type of question checks whether students can represent the same value in different ways.
Answer: 12 + 12, 4 × 6, and 48 ÷ 2
11. Identify the terms in 39 – 2 × 6 + 11.
Rewrite subtraction as addition of the inverse.
39 – 2 × 6 + 11 = 39 + (–2 × 6) + 11
The terms are separated after writing subtraction as addition.
Answer: The terms are 39, –2 × 6, and 11.
12. Find the value of 48 – 10 × 2 + 16 ÷ 2.
Evaluate multiplication and division terms first.
48 – 10 × 2 + 16 ÷ 2
= 48 – 20 + 8
= 36
Students should avoid solving strictly from left to right without noticing multiplication and division.
Answer: 36
13. Which is greater: 3.40 or 3.4?
They are equal.
A zero at the end of the decimal part keeps the value unchanged.
3.40 = 3.4
Answer: 3.40 = 3.4
14. Arrange in increasing order: 4.09, 4.9, 4.009, 4.90.
Write each number with three decimal places.
4.009, 4.090, 4.900, 4.900
So the order is:
4.009 < 4.09 < 4.9 = 4.90
Answer: 4.009 < 4.09 < 4.9 = 4.90
15. A student says 0.8 is greater than 0.75 because 75 is greater than 8. Correct the thinking.
Compare equal decimal places.
0.8 = 0.80
0.80 > 0.75
The answer is correct, but the reason should use decimal place value, not whole-number comparison.
Answer: 0.8 > 0.75
16. Write an expression for “7 more than three times x”.
Three times x is 3x.
Seven more gives:
3x + 7
This is a basic letter-number question from algebra.
Answer: 3x + 7
17. If x = 5, find 4x – 3.
Substitute x = 5.
4x – 3 = 4 × 5 – 3
= 20 – 3
= 17
Answer: 17
18. Write two different expressions that have value 20 when x = 4.
Examples:
5x = 5 × 4 = 20
3x + 8 = 3 × 4 + 8 = 20
This is a good Class 7 Maths Reasoning Questions type because it asks students to create expressions, not only solve them.
Answer: 5x and 3x + 8
19. Find the missing number: 6a = 42.
Divide by 6.
a = 42 ÷ 6
a = 7
Answer: a = 7
20. Can two different straight lines on a flat sheet meet at more than one point?
Two different straight lines on a flat sheet meet at one point when they intersect.
If they share many points, they become the same line.
Answer: Two different straight lines meet at one point.
21. Can the sum of three odd numbers be even?
The sum of three odd numbers is odd.
Example:
3 + 5 + 7 = 15
Two odd numbers make an even number, but adding one more odd number makes the result odd.
Answer: The sum is odd.
22. Find the next three numbers: 1, 1, 2, 3, 5, 8, ___, ___, ___.
Each new number is the sum of the previous two numbers.
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
Pattern questions like this are useful Class 7 Maths Challenge Questions.
Answer: 13, 21, 34
23. Can a triangle have sides 2 cm, 3 cm, and 8 cm?
For a triangle, the sum of two smaller sides must be greater than the third side.
2 + 3 = 5
5 < 8
So these lengths cannot make a triangle.
Answer: These lengths do not form a triangle.
24. A triangle has angles in the ratio 2 : 3 : 4. Find the angles.
Sum of angles in a triangle is 180°.
Total parts:
2 + 3 + 4 = 9
One part:
180° ÷ 9 = 20°
Angles:
2 × 20° = 40°
3 × 20° = 60°
4 × 20° = 80°
Answer: 40°, 60°, and 80°
25. Find the missing angle if two angles of a triangle are 47° and 68°.
Sum of angles in a triangle is 180°.
47° + 68° = 115°
180° – 115° = 65°
Answer: 65°
26. Which is greater: 3/5 of 20 or 2/3 of 18?
Calculate both values.
3/5 × 20 = 12
2/3 × 18 = 12
Both values are equal, even though the fractions and numbers are different.
Answer: Both are equal.
27. Find 4/5 ÷ 2/3.
Divide by multiplying with the reciprocal.
4/5 ÷ 2/3 = 4/5 × 3/2
= 12/10
= 6/5
Answer: 6/5
28. Find 5/6 – 1/3.
Convert to like denominators.
1/3 = 2/6
5/6 – 2/6 = 3/6
= 1/2
Answer: 1/2
29. Which is greater: 2/3 or 3/5?
Cross multiply.
2 × 5 = 10
3 × 3 = 9
Since 10 > 9:
2/3 > 3/5
Answer: 2/3
30. A student says 1/4 + 1/4 = 2/8. Find the mistake.
The denominator stays the same when adding like fractions.
1/4 + 1/4 = 2/4
= 1/2
The student added the denominators, which is incorrect for like fractions.
Answer: The correct answer is 1/2.
Class 7 Maths Hard Questions With Answers
Hard questions in Class 7 Maths usually hide the test inside a small detail: a sign, a decimal place, a missing condition, or a shape property. These Class 7 Maths Hard Questions With Answers help students practise careful thinking for CBSE 2026 school exams.
31. Are two rectangles with the same area always congruent?
Same area can still come from different side lengths.
Example:
6 cm × 2 cm = 12 cm²
4 cm × 3 cm = 12 cm²
Both rectangles have the same area, but their side lengths are different. Congruent figures must have the same shape and size.
Answer: Same area does not guarantee congruence.
32. Are two circles with the same radius congruent?
Yes, two circles with the same radius have the same size and shape.
If one circle is placed exactly over the other, they match completely.
Answer: Yes, they are congruent.
33. Explain why –4 × –3 = 12.
Multiplying two negative integers gives a positive product.
–4 × –3 = 12
One way to understand this is that a negative of a negative gives a positive. Integer sign rules are important in Class 7 Maths Exam Questions 2026.
Answer: 12
34. Find –7 × 6.
A negative multiplied by a positive gives a negative product.
–7 × 6 = –42
Answer: –42
35. Find –48 ÷ 6.
A negative divided by a positive gives a negative quotient.
–48 ÷ 6 = –8
Answer: –8
36. Find the HCF of 24 and 36.
Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Highest common factor = 12
Answer: 12
37. Find the LCM of 12 and 18.
Prime factorise both numbers.
12 = 2 × 2 × 3
18 = 2 × 3 × 3
LCM = 2 × 2 × 3 × 3 = 36
Answer: 36
38. Two bells ring every 12 minutes and 18 minutes. When will they ring together again?
Find the LCM of 12 and 18.
LCM = 36
The bells will ring together after the first common multiple of their time intervals.
Answer: They will ring together after 36 minutes.
39. Is 0.7 × 0.8 greater than or less than 0.7?
Multiplying by a number less than 1 reduces the value.
0.7 × 0.8 = 0.56
Since 0.56 < 0.7, the product is less than 0.7.
Answer: 0.7 × 0.8 < 0.7
40. Find 4.8 ÷ 0.6.
Multiply both numbers by 10.
4.8 ÷ 0.6 = 48 ÷ 6
= 8
This avoids decimal confusion.
Answer: 8
41. A student says 0.6 × 0.3 = 1.8. Find the mistake.
The student ignored decimal places.
6 × 3 = 18
0.6 × 0.3 = 0.18
Since both numbers are less than 1, the product should also be less than 0.6.
Answer: The correct answer is 0.18.
42. Find the mean of 4, 6, 8, 10.
Mean = sum ÷ number of observations.
Mean = (4 + 6 + 8 + 10) ÷ 4
= 28 ÷ 4
= 7
Answer: 7
43. Find the median of 3, 7, 9, 11, 15.
The data is already arranged.
Middle value = 9
Median is the middle observation when data is arranged in order.
Answer: 9
44. Find the mode of 2, 3, 3, 4, 5, 5, 5, 6.
Mode is the value that appears most often.
5 appears three times.
Answer: 5
45. Can the mean of a data set be absent from the data?
Yes.
Example:
Data: 1, 2, 6
Mean:
(1 + 2 + 6) ÷ 3 = 3
3 is absent from the data.
Answer: Yes, the mean can be absent from the data.
46. Why do regular pentagons fail to tile a flat surface perfectly?
A regular pentagon has each interior angle equal to 108°.
Around a point:
108° × 3 = 324°
108° × 4 = 432°
A full turn is 360°, so pentagons leave gaps or overlap.
Answer: Their angles do not fit exactly around a point.
47. Solve: 2x + 5 = 17.
Subtract 5 from both sides.
2x + 5 = 17
2x = 12
x = 6
Answer: x = 6
48. Solve: 3y – 4 = 20.
Add 4 to both sides.
3y – 4 = 20
3y = 24
y = 8
Answer: y = 8
49. I think of a number, double it, add 6, and get 30. Find the number.
Let the number be x.
2x + 6 = 30
2x = 24
x = 12
This is one of the simplest forms of Class 7 Maths Word Problems using equations.
Answer: 12
50. Create two different equations with solution x = 5.
Examples:
x + 3 = 8
2x = 10
Both give x = 5.
This question checks whether students can create equations, not only solve given ones.
Answer: x + 3 = 8 and 2x = 10