Class 7 CBSE Maths Sample Paper 2026 with Solutions

Step 1: In the Indian System, commas are placed after the hundreds, then after every two digits.

Step 2: The number 7,05,00,210 has groups: 210 (hundreds), 00 (thousands), 05 (lakhs), 7 (crores).

Step 3: Therefore, it is read as Seven crore, five lakh, two hundred ten.

Step 1: In the Indian System, the number 8,05,07,013 is read by grouping digits from the right: 013 (ones period), 07 (thousands period), 05 (lakhs period), 8 (crores period).

Step 2: So, 8,05,07,013 is read as Eight crore five lakh seven thousand thirteen.

Step 1: A 7-digit number in the Indian system has places: Crores, Ten Lakhs, Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones.

Step 2: The Ten Lakhs place is the 6th digit from the right. It must be 6.

Step 3: To make the number largest, fill the Crores place (7th digit) with the largest digit, 9. Then, fill all remaining unspecified places (Lakhs, Ten Thousands, Thousands, Hundreds, Tens, Ones) with 9, as repetition is allowed.

Step 4: This results in the number 9,699,999 which is 96,99,999 in the Indian system.

Step 1: The order of operations (BODMAS) provides a standard rule set for performing calculations.

Step 2: Following this specific order ensures that everyone evaluates an expression in the same way, thus leading to one unique and correct result, preventing ambiguity.

Step 1: Perform division: 18 ÷ 2 = 9.

Step 2: Perform multiplication: 5 × 3 = 15.

Step 3: Substitute these values into the expression: 9 + 15 - 7.

Step 4: Perform addition and subtraction from left to right: 24 - 7 = 17.

Step 1: First, solve the innermost bracket: `(6 ÷ 2) = 3`.

Step 2: Substitute this back: `[(-15) × (-4)] ÷ (-12) - {(-3) × [18 - 3]}`.

Step 3: Solve the next innermost bracket: `[18 - 3] = 15`.

Step 4: The expression becomes: `[(-15) × (-4)] ÷ (-12) - {(-3) × 15}`.

Step 5: Perform multiplications: `(-15) × (-4) = 60` and `(-3) × 15 = -45`.

Step 6: The expression is now: `60 ÷ (-12) - {-45}`.

Step 7: Perform the division: `60 ÷ (-12) = -5`.

Step 8: Finally, solve the subtraction: `-5 - (-45) = -5 + 45 = 40`.

Step 1: In the number 7.348, the digit '7' is in the units place.

Step 2: The digit '3' is in the tenths place, meaning 3/10.

Step 3: The digit '4' is in the hundredths place, meaning 4/100.

Step 4: The digit '8' is in the thousandths place, meaning 8/1000.

Step 1: The decimal number 7.08 means 7 ones, 0 tenths, and 8 hundredths.

Step 2: Therefore, the correct expanded form is 7 + 0/10 + 8/100.

Step 3: Rohan's representation 7 + 8/10 would correspond to 7.8, not 7.08.

Step 4: So, the correct representation of the decimal part is 8/100.

Step 1: First, convert 0.75 to a fraction: 0.75 = 3/4.

Step 2: Option A: 3/4 + 0.001 = 0.75 + 0.001 = 0.751. Difference from 0.75 is |0.751 - 0.75| = 0.001.

Step 3: Option B: 0.749. Difference from 0.75 is |0.749 - 0.75| = |-0.001| = 0.001.

Step 4: Option C: 1 - 0.2505 = 0.7495. Difference from 0.75 is |0.7495 - 0.75| = |-0.0005| = 0.0005.

Step 5: Option D: 6/8 - 0.0001 = 3/4 - 0.0001 = 0.75 - 0.0001 = 0.7499. Difference from 0.75 is |0.7499 - 0.75| = |-0.0001| = 0.0001.

Step 6: Comparing the differences: A (0.001), B (0.001), C (0.0005), D (0.0001). The smallest difference is 0.0001, which corresponds to Option D.

Step 1: A variable is a symbol, usually a letter, that represents an unknown quantity or a quantity that can change.

Step 2: Unlike a constant, which has a fixed value, a variable's value can vary.