Class 7 Maths Chapter 1 Exercise 1.1 solutions provide step-by-step guidance to help students master fundamental concepts. The exercise covers a variety of problems designed to strengthen their understanding of key topics. Whether you're struggling or reviewing, these solutions will ensure you tackle each question with confidence.
Sample Questions and Answers:
Question: How do you calculate the perimeter of a rectangle? Answer: The perimeter of a rectangle is the sum of all its sides, calculated as 2 times the length plus 2 times the width.
Question: What is the formula for the area of a triangle? Answer: The area of a triangle is found using the formula: 1/2 times base times height.
Question: How do you convert fractions into decimals? Answer: Divide the numerator by the denominator to convert a fraction into a decimal.
Question: What are the steps to solve linear equations? Answer: Isolate the variable on one side of the equation by performing inverse operations on both sides.
Question: How do you simplify algebraic expressions? Answer: Combine like terms and perform basic operations such as addition, subtraction, and multiplication.
Question: What is the prime factorization of 30? Answer: The prime factorization of 30 is 2 × 3 × 5.
Question: How do you solve for x in the equation 3x + 5 = 11? Answer: Subtract 5 from both sides, then divide by 3 to get x = 2.
Question: What is the difference between an integer and a whole number? Answer: Whole numbers include all positive numbers and zero, while integers also include negative numbers.
Question: How do you add fractions with different denominators? Answer: Find a common denominator, convert the fractions, and then add the numerators.
Question: What is the greatest common divisor of 12 and 15? Answer: The greatest common divisor (GCD) of 12 and 15 is 3.
Question: How do you subtract decimals? Answer: Line up the decimal points, then subtract as you would whole numbers, and place the decimal point in the result.
Question: What is the product of 7 and 8? Answer: The product of 7 and 8 is 56.
Question: How do you divide a number by a fraction? Answer: Multiply the number by the reciprocal of the fraction.
Question: What is the difference between a square and a rectangle? Answer: A square has equal sides, while a rectangle has opposite sides that are equal in length.
Question: How do you find the median of a set of numbers? Answer: Arrange the numbers in order, and the median is the middle number.
Question: What are opposite angles? Answer: Opposite angles are equal in measure when two lines intersect.
Question: What is the probability of rolling an even number on a six-sided die? Answer: The probability is 3/6 or 1/2, as there are three even numbers (2, 4, 6) on a die.
Question: How do you find the sum of an arithmetic sequence? Answer: Use the formula: Sum = n/2 × (first term + last term).
Question: What is a percentage of a number? Answer: Multiply the number by the percentage (written as a decimal) to find the percentage of that number.
Question: How do you convert a decimal into a fraction? Answer: Write the decimal as a fraction with a denominator based on its place value, then simplify if needed.
Question: How do you calculate the area of a rectangle? Answer: Multiply the length by the width to find the area of a rectangle.
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