Playing with Numbers
23 solved questions from Class 6 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Solve the expression: 15 + 25 × 2. medium MCQ BODMAS Rule
- 2 Find the area of a rectangle with length 8 cm and breadth 5 cm. medium MCQ Area of Rectangle
- 3 What is the volume of a cube with edge 3 cm? medium MCQ Volume of Cube
- 4 Find the 10th term of AP: 2, 7, 12, ... medium MCQ Arithmetic Progression
- 5 Distance between points (0,0) and (6,8) is: medium MCQ Distance Formula
- 6 Find surface area of a sphere with radius 7 cm (π = 22/7). medium MCQ Surface Area of Sphere
- 7 If perimeter of a circle is equal to that of a square, find ratio of their areas. medium MCQ Areas Related to Circles
- 8 What is the nth term of an AP with first term a and common difference d? medium MCQ Arithmetic Progression
- 9 Coordinates of midpoint of line joining (x₁, y₁) and (x₂, y₂) is: medium MCQ Midpoint Formula
- 10 Find the value of (2⁰ + 3⁰) × 5⁰. medium MCQ Exponent Laws
- 11 What is the domain, range, or fundamental theorem introduced in 'Playing with Numbers' (Class 6 Mathematics)? medium MCQ Functions & Theorems
- 12 What is the derivative or integral formula associated with 'Playing with Numbers'? medium MCQ Calculus & Formulae
- 13 How do you find the solution set or optimum value in 'Playing with Numbers'? medium MCQ Problem Solving & Optimization
- 14 Calculate the value of 7^2 × 2^1 ÷ 7^1 + 3^2. hard MCQ 4 marks Exponent rules and order of operations
- 15 What is the value of 2^3 + 3^2 × 4^1? easy 1 mark Basic exponentiation and order of operations
- 16 If the perimeter of a circle is equal to that of a square, find the ratio of their areas. medium 2 marks Relationship between perimeter and area of circle and square
- 17 What is the value of 5^1 + 2^3 × 3^2? medium MCQ 2 marks Order of operations with exponents
- 18 Evaluate the expression 3^2 × 2^3 + 4^1. easy 1 mark Order of operations with exponents
- 19 Rewrite the expression 2^3 × 2^2 × 3^1 as a single power of 2 multiplied by a power of 3, and give its numeric value. medium 3 marks Combining exponents of like bases
- 20 Simplify the following expression step by step and give the final answer: (2^3 + 3^2) × (2^2 + 1^3) - 4^2. hard 4 marks Simplifying nested expressions with exponents
- 21 What is the value of 2^2 + 3^1 × 4^0? easy MCQ 1 mark Order of operations with exponents
- 22 Evaluate the expression (2^3 × 3^2) - (4^1 × 5^0) + (6^1 ÷ 2^1) and give its numerical value. hard 3 marks Order of operations
- 23 Simplify the expression (3^2 × 2^3) + 5^0 and give its numerical value. medium 2 marks Simplifying exponent expressions