Integers
20 solved questions from Class 7 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Evaluate the expression (-12) × 8 + (-12) × 2 using a suitable property. easy MCQ 1 mark Distributive property of multiplication over addition for integers
- 2 In a class test containing 15 questions, 4 marks are given for every correct answer and (-2) marks are given for every incorrect answer. Sunita attempts all questions and gets 9 correct answers. What is her total score? medium 3 marks Application of addition and multiplication of integers in daily life problems
- 3 An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach a depth of -350 m? hard 4 marks Subtraction and division of integers in context of height and depth
- 4 Solve the expression: 15 + 25 × 2. medium MCQ BODMAS Rule
- 5 Find the area of a rectangle with length 8 cm and breadth 5 cm. medium MCQ Area of Rectangle
- 6 What is the volume of a cube with edge 3 cm? medium MCQ Volume of Cube
- 7 Find the 10th term of AP: 2, 7, 12, ... medium MCQ Arithmetic Progression
- 8 Distance between points (0,0) and (6,8) is: medium MCQ Distance Formula
- 9 Find surface area of a sphere with radius 7 cm (π = 22/7). medium MCQ Surface Area of Sphere
- 10 If perimeter of a circle is equal to that of a square, find ratio of their areas. medium MCQ Areas Related to Circles
- 11 What is the nth term of an AP with first term a and common difference d? medium MCQ Arithmetic Progression
- 12 Coordinates of midpoint of line joining (x₁, y₁) and (x₂, y₂) is: medium MCQ Midpoint Formula
- 13 Find the value of (2⁰ + 3⁰) × 5⁰. medium MCQ Exponent Laws
- 14 What is the domain, range, or fundamental theorem introduced in 'Integers' (Class 7 Mathematics)? medium MCQ Functions & Theorems
- 15 What is the derivative or integral formula associated with 'Integers'? medium MCQ Calculus & Formulae
- 16 How do you find the solution set or optimum value in 'Integers'? medium MCQ Problem Solving & Optimization
- 17 What is the sum of all integers from −4 to 4 inclusive? medium MCQ 3 marks Sum of symmetric integers
- 18 A hot‑air balloon starts 40 m above ground level. It descends at a constant rate of 5 m/s. How many seconds will it take for the balloon to reach a depth of 30 m below ground level? hard 4 marks Negative distances and rates
- 19 Compute the result of (−5 + 8) × (−3). easy 2 marks Integer addition and multiplication
- 20 Find all integer pairs (x, y) that satisfy x + y = 12 and xy = 35. hard 4 marks Solving simultaneous equations with integers