Class 7 practice
Class 7 maths questions.
Maths questions for Class 7, at the level of students aged 12–14, each with its answer and a short explanation. Try each one before opening the answer.
Find the value of x in the equation: 3x + 5 = 26.
Level 1 of 5Show the answer
Answer: 7
Subtract 5 from both sides to get 3x = 21. Dividing both sides by 3 gives x = 7.
Ananya mixes 2 cups of milk with 3 cups of water to make tea. What is the ratio of milk to the total mixture?
Level 1 of 5Show the answer
Answer: 2:5
The total volume is 2 + 3 = 5 cups. The ratio of milk to the total mixture is 2:5.
Asha wants to put a decorative border around a square noticeboard. Each side of the board is 25 cm long. What is the total length of border needed?
Level 1 of 5Show the answer
Answer: 100 cm
The perimeter of a square equals 4 times its side length. Multiplying 4 by 25 cm gives 100 cm.
Two angles are supplementary to each other. If one angle measures 65°, what is the measure of the other angle?
Level 1 of 5Show the answer
Answer: 115°
Supplementary angles add up to 180°. Subtracting 65° from 180° gives 115°.
- True or false?
The sum of all three interior angles of any triangle is always 180 degrees.
Level 1 of 5Show the answer
Answer: True
For any triangle on a flat plane, adding the three interior angles always equals 180 degrees.
Which metric unit is the odd one out?
Level 1 of 5Show the answer
Answer: Square metre
Millimetre, centimetre, and kilometre are units of length, whereas square metre is a unit of area.
A painter mixes blue and yellow paint in the ratio 3 : 5 to make green. If she uses 15 litres of yellow paint, how much blue paint does she need?
Level 2 of 5Show the answer
Answer: 9 litres
Since 5 parts equal 15 litres, each part is 3 litres. Blue paint requires 3 parts: 3 × 3 = 9 litres.
Ananya bought 6 notebooks for ₹150. How much will she pay for 10 such notebooks at the same rate?
Level 2 of 5Show the answer
Answer: ₹250
The cost of one notebook is ₹150 divided by 6, which is ₹25. Therefore, 10 notebooks cost 10 multiplied by ₹25, which is ₹250.
A circular ring has a radius of 7 centimetres. Taking pi as 22 divided by 7, what is the circumference of the ring?
Level 2 of 5Show the answer
Answer: 44 centimetres
Circumference equals 2 times pi times the radius. Multiplying 2 by 22 over 7 by 7 gives 44 centimetres.
Two parallel railway lines are crossed by a straight path. If one interior angle is 115 degrees, what is the measure of its consecutive interior angle?
Level 2 of 5Show the answer
Answer: 65 degrees
Consecutive interior angles sum to 180 degrees. Thus, 180 - 115 = 65 degrees.
Rohan thinks of a number, multiplies it by 4, and adds 7. If the final result is 35, what was his original number?
Level 2 of 5Show the answer
Answer: 7
Let the number be n. Then 4n + 7 = 35. Subtracting 7 gives 4n = 28, so dividing by 4 gives n = 7.
Tenzin rolls a standard six-sided die once. What is the probability of getting an even number?
Level 2 of 5Show the answer
Answer: 1/2
The even numbers are 2, 4, and 6. This gives 3 favourable outcomes out of 6, simplifying to 1/2.
Deepa spins a fair spinner divided into 8 equal sectors numbered from 1 to 8. What is the probability that the arrow lands on a prime number?
Level 2 of 5Show the answer
Answer: 1/2
The prime numbers from 1 to 8 are 2, 3, 5, and 7. This gives 4 favourable outcomes out of 8, which simplifies to 1/2.
Gurpreet deposited ₹4,000 at a simple interest rate of 5% per year. How much interest will he earn in 3 years?
Level 2 of 5Show the answer
Answer: ₹600
Simple interest equals (Principal × Rate × Time) / 100. Calculating (4,000 × 5 × 3) / 100 gives ₹600.
- True or false?
Expressing three-fifths as a percentage gives 60 percent.
Level 2 of 5Show the answer
Answer: True
To convert a fraction to a percentage, multiply it by 100. Three-fifths multiplied by 100 equals 60 percent.
- True or false?
A regular hexagon has exactly six lines of symmetry.
Level 2 of 5Show the answer
Answer: True
Every regular polygon has as many lines of symmetry as it has sides. A regular hexagon has six equal sides, so it has six lines of symmetry.
- Fill in the blank.
Priya scored 45 marks out of 60 in her mathematics test, which equals ___ percent.
Level 2 of 5Show the answer
Answer: 75
Divide 45 by 60 to get 0.75. Multiply 0.75 by 100 to find the percentage, which is 75.
- Fill in the blank.
On a standard six-sided die, the number of prime faces is ___.
Level 2 of 5Show the answer
Answer: 3
The numbers on a die are 1 through 6. The prime numbers are 2, 3, and 5, giving 3 prime faces.
- Fill in the blank.
Aarav buys a book for ₹250 and sells it at a profit of ₹50, making the selling price ₹___.
Level 2 of 5Show the answer
Answer: 300
Selling price equals cost price plus profit. Adding ₹50 to ₹250 gives ₹300.
Which statistical measure is the odd one out?
Level 2 of 5Show the answer
Answer: Range
Range is a measure of dispersion, whereas mean, median, and mode are measures of central tendency.
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