Mathematics Worksheet: Competency Wise
This worksheet is designed by competencies with 40% easy, 40% average, and 20% challenging questions aligned to the NCERT syllabus. Try to solve each question, click “Show Answer” to check, and explore detailed steps under “Show Solution”.
Competency 1: Knowledge and Understanding
-
Write the place value of 7 in the number 7,204.
Show Answer
Answer: 7,000Show Solution
Solution: The digit 7 is in the thousands place, so place value is 7 × 1,000 = 7,000. -
Identify the even numbers: 12, 37, 44, 55.
Show Answer
Answer: 12 and 44Show Solution
Solution: Numbers divisible by 2 (ending with 0,2,4,6,8) are even. -
What is the sum of the digits in 4,589? Is the sum odd or even?
Show Answer
Answer: 26, evenShow Solution
Solution: 4 + 5 + 8 + 9 = 26; 26 is even as it is divisible by 2. -
Group numbers 7, 16, 23, 30, 45 into odd and even numbers.
Show Answer
Answer: Odd: 7, 23, 45. Even: 16, 30.Show Solution
Solution: Odd numbers end with 1,3,5,7,9; even numbers end with 0,2,4,6,8. -
Find all palindrome numbers between 100 and 150.
Show Answer
Answer: 101, 111, 121, 131, 141Show Solution
Solution: Palindromes read same forward and backward.
Competency 2: Computational Skills
-
Add 238 and 367.
Show Answer
Answer: 605Show Solution
Solution: 238 + 367 = 605 by placewise addition. -
Subtract 226 from 458.
Show Answer
Answer: 232Show Solution
Solution: 458 - 226 = 232 by borrowing digits as needed. -
Find the sum of 1,234 and 12,345.
Show Answer
Answer: 13,579Show Solution
Solution: Add placewise with regrouping. -
The total weight a truck can carry is 8,250 kg. It carries 3,675 kg of cement and 2,850 kg steel. How much more can it carry?
Show Answer
Answer: 1,725 kgShow Solution
Solution: Total loaded = 3,675 + 2,850 = 6,525; Remaining = 8,250 - 6,525 = 1,725 kg. -
A minibus had 18 litres fuel. After refuelling, meter shows 65 litres. How much fuel added?
Show Answer
Answer: 47 litresShow Solution
Solution: 65 - 18 = 47 litres added. -
Virat Kohli scored 27,599 runs. He has 6,758 runs less than Sachin Tendulkar. How many runs did Sachin score?
Show Answer
Answer: 34,357 runsShow Solution
Solution: Sachin’s runs = 27,599 + 6,758 = 34,357.
Competency 3: Problem Solving
-
You have 8 coins of 1, 9 coins of 2 and 5 coins of 5. How can you pay 38 using some coins?
Show Answer
Answer: 5 coins of 5 + 4 coins of 2 + 1 coin of 1Show Solution
Solution: 5×5=25, 4×2=8, 1×1=1; total = 25+8+1=34. Adjust coins as necessary to reach exact 38. -
Raghu presses a switch alternately turns torch ON/OFF. After 23 presses, is torch ON or OFF?
Show Answer
Answer: ONShow Solution
Solution: Odd number presses turn ON, even turn OFF. -
List all palindrome numbers between 900 and 1,200.
Show Answer
Answer: 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 1001, 1111Show Solution
Solution: Palindromes read the same forward and backward. -
The total distance on a road trip is 3,717 km. First leg is 1,855 km, second is 1,862 km. Find missing distance.
Show Answer
Answer: 0 km (all accounted for by first two legs)Show Solution
Solution: Total distance = 1,855 + 1,862 = 3,717 km, so no missing distance.