Class 6 practice
Class 6 maths questions.
Maths questions for Class 6, at the level of students aged 9–11, each with its answer and a short explanation. Try each one before opening the answer.
A rectangular garden is 18 metres long and 12 metres wide. A path 1 metre wide runs all around its inside border. What is the path's area?
Level 4 of 5Show the answer
Answer: 56 sq m
The total area is 18 × 12 = 216 sq m. The inner lawn is 16 × 10 = 160 sq m. The path area is 216 - 160 = 56 sq m.
Farhan bought 20 notebooks at ₹25 each. He sold 12 notebooks at ₹30 each and the remaining at ₹20 each. What was his overall profit or loss?
Level 4 of 5Show the answer
Answer: Profit of ₹20
Total cost = 20 × ₹25 = ₹500. Selling price = (12 × ₹30) + (8 × ₹20) = ₹360 + ₹160 = ₹520. Profit = ₹520 - ₹500 = ₹20.
Rohan scored an average of 42 runs across 5 cricket innings. If he scores 60 runs in the next inning, what will his new average be?
Level 4 of 5Show the answer
Answer: 45 runs
Total runs in 5 innings = 42 × 5 = 210. Adding 60 gives 270 runs across 6 innings. New average = 270 ÷ 6 = 45 runs.
Priya walks at 4 kilometres per hour and reaches school in 45 minutes. How fast must she walk to cover the same distance in 30 minutes?
Level 4 of 5Show the answer
Answer: 6 km/h
Distance = 4 × (45 ÷ 60) = 3 kilometres. To cover 3 kilometres in 30 minutes (0.5 hours), required speed = 3 ÷ 0.5 = 6 km/h.
In a triangle, one angle measures 70 degrees. The other two angles are in the ratio 5 to 6. What is the measure of the smallest angle?
Level 4 of 5Show the answer
Answer: 50°
The sum of the other two angles is 180° - 70° = 110°. Divide 110° into 5 + 6 = 11 parts (10° each). The smallest angle is 5 × 10° = 50°.
Ananya read 3/8 of a book on Saturday and 2/5 of the remaining pages on Sunday. If 45 pages are still left, how many pages are in the book?
Level 4 of 5Show the answer
Answer: 120
Remaining after Saturday is 5/8 of the book. On Sunday she read 2/5 × 5/8 = 2/8. Total read is 5/8, so 3/8 equals 45 pages. The book has 120 pages.
A number gives a quotient of 13 and a remainder of 6 when divided by 9. What is the remainder when this number is divided by 8?
Level 4 of 5Show the answer
Answer: 3
The number is (13 × 9) + 6 = 117 + 6 = 123. Dividing 123 by 8 gives a quotient of 15 and a remainder of 3.
Three bells toll together at intervals of 9, 12, and 15 minutes respectively. After how many hours will they all toll together again?
Level 4 of 5Show the answer
Answer: 3 hours
Find the LCM of 9, 12, and 15. The prime factorization gives 2 × 2 × 3 × 3 × 5 = 180 minutes. In hours, 180 ÷ 60 = 3 hours.
Kabir poured 2.45 litres of water into an empty bucket. He then removed 680 millilitres. How many millilitres of water remain in the bucket?
Level 4 of 5Show the answer
Answer: 1,770 mL
Convert 2.45 litres to millilitres: 2.45 × 1,000 = 2,450 mL. Then subtract the water removed: 2,450 - 680 = 1,770 mL.
Meera spent two-fifths of her money on books and one-fourth on stationery. She has ₹210 left. How much money did Meera have at first?
Level 4 of 5Show the answer
Answer: ₹600
Meera spent 13/20 of her money in total. The remaining 7/20 equals ₹210. So, the total money is (210 ÷ 7) × 20 = ₹600.
- True or false?
A triangle can have two obtuse angles.
Level 4 of 5Show the answer
Answer: False
An obtuse angle is greater than 90 degrees. Two obtuse angles would add up to more than 180 degrees, which is impossible because triangle angles total 180 degrees.
- Fill in the blank.
The sum of four consecutive odd numbers is 56, so the largest of these numbers is ___.
Level 4 of 5Show the answer
Answer: 17
Dividing 56 by 4 gives an average of 14. The four consecutive odd numbers surrounding 14 are 11, 13, 15, and 17. Thus, the largest number is 17.
- Fill in the blank.
A rectangular frame of perimeter 50 centimetres and length 16 centimetres has a width of ___ centimetres.
Level 4 of 5Show the answer
Answer: 9
The perimeter is twice the sum of length and width. Half of 50 is 25 centimetres, so the width is 25 minus 16, which equals 9 centimetres.
- Fill in the blank.
If five identical notebooks cost 125 rupees, then eight such notebooks will cost ___ rupees.
Level 4 of 5Show the answer
Answer: 200
One notebook costs 125 divided by 5, which is 25 rupees. Therefore, eight notebooks cost 25 multiplied by 8, giving 200 rupees.
Which triangle classification is the odd one out?
Level 4 of 5Show the answer
Answer: Right-angled triangle
Equilateral, isosceles, and scalene triangles are classified by their side lengths. A right-angled triangle is classified by the measure of its angles.
Which solid shape is the odd one out?
Level 4 of 5Show the answer
Answer: Cube
A cube has only flat faces. The cone, cylinder, and sphere all have curved surfaces.
Six workers build a boundary wall in 10 days. Working at the exact same rate, how many days will 15 workers take?
Level 5 of 5Show the answer
Answer: 4 days
The total work requires 6 × 10 = 60 worker-days. Dividing this work among 15 workers takes 60 ÷ 15 = 4 days.
Rohan is thinking of a two-digit number. It is a multiple of both 6 and 8. The sum of its digits is 9. What is the number?
Level 5 of 5Show the answer
Answer: 72
Common multiples of 6 and 8 are 24, 48, 72, and 96. Among these, only 72 has digits that add up to 9 (7 + 2 = 9).
- True or false?
Every number that is divisible by both 4 and 6 is always divisible by 24.
Level 5 of 5Show the answer
Answer: False
The number 12 is divisible by both 4 and 6, but it cannot be divided evenly by 24. The lowest common multiple is 12, not 24.
- True or false?
Every rhombus has exactly four lines of symmetry.
Level 5 of 5Show the answer
Answer: False
A general rhombus has only two lines of symmetry along its diagonals. Only a square rhombus has four lines of symmetry.
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