STUDY EDUCATION - MP Board Solutions

NCERT Class 7 Maths Part 2 Chapter 7 Finding the Unknown Worksheet with Answers Class 7 Maths Part 2 Chapter 7 Worksheet Fill in the Blanks 1. A letter used to represent an unknown number is called a __________. Answer: Variable 2. The solution of x + 8 = 15 is __________. Answer: 7 3. The solution of 5a = 40 is __________. Answer: 8 4. The inverse operation of addition is __________. Answer: Subtraction 5. The inverse operation of multiplication is __________. Answer: Division Write True or False 6. An equation always contains an equal sign (=). Answer: True 7. Variables always have a fixed value. Answer: False 8. The solution of an equation makes both sides equal. Answer: True 9. Division is the inverse operation of multiplication. Answer: True 10. Every algebraic expression is an equation. Answer: False Short Answer Questions 11. Solve: x + 12 = 25 . Answer: x = 13 12. Solve: 3y = 27 . Answer: y = 9 13. Solve: m − 8 = 14 . Answer: m = 22 14. Solve: n ÷ 5...

NCERT Class 7 Maths Part 2 Chapter 6 Constructions and Tilings Worksheet with Answers Class 7 Maths Part 2 Chapter 6 Worksheet Fill in the Blanks 1. A compass is mainly used to draw __________ and arcs. Answer: Circles 2. A ruler is used to draw __________ lines. Answer: Straight 3. A tessellation covers a surface without __________ or overlaps. Answer: Gaps 4. A regular hexagon can __________ a plane. Answer: Tessellate 5. A square is a __________ polygon. Answer: Regular Write True or False 6. A regular pentagon can tessellate a plane by itself. Answer: False 7. Floor tiles are an example of tessellation. Answer: True 8. A compass is used to measure angles. Answer: False 9. Geometric constructions require accuracy. Answer: True 10. A circle can tessellate a plane without gaps. Answer: False Short Answer Questions 11. What is a geometric construction? Answer: A geometric construction is the accurate drawing of geometric figures using a ruler and compass. 12. Wha...

NCERT Class 7 Maths Part 2 Chapter 5 Connecting the Dots Worksheet with Answers Class 7 Maths Part 2 Chapter 5 Worksheet Fill in the Blanks 1. A line segment has __________ endpoints. Answer: Two 2. A ray has __________ endpoint. Answer: One 3. A polygon is a __________ figure made up of line segments. Answer: Closed 4. A pentagon has __________ sides. Answer: Five 5. A hexagon has __________ sides. Answer: Six Write True or False 6. A line has no endpoints. Answer: True 7. A circle is a polygon. Answer: False 8. A quadrilateral has four sides. Answer: True 9. A line segment extends endlessly in both directions. Answer: False 10. The perimeter of a polygon is the total length of all its sides. Answer: True Short Answer Questions 11. What is a line segment? Answer: A line segment is a part of a line with two endpoints. 12. What is a ray? Answer: A ray is a part of a line with one endpoint and extends infinitely in one direction. 13. How many sides does an octago...

NCERT Class 7 Maths Part 2 Chapter 4 Another Peek Beyond the Point Worksheet with Answers Class 7 Maths Part 2 Chapter 4 Worksheet Fill in the Blanks 1. The point where the x-axis and y-axis intersect is called the __________. Answer: Origin 2. The coordinates of the origin are __________. Answer: (0, 0) 3. The horizontal axis is called the __________. Answer: x-axis 4. The vertical axis is called the __________. Answer: y-axis 5. The point (4, 5) lies in the __________ quadrant. Answer: First Write True or False 6. The point (0, 0) is called the origin. Answer: True 7. The x-axis is vertical. Answer: False 8. The point (−3, 4) lies in the second quadrant. Answer: True 9. Every point on the y-axis has x-coordinate equal to 0. Answer: True 10. The point (5, −2) lies in the first quadrant. Answer: False Short Answer Questions 11. In which quadrant does the point (6, 3) lie? Answer: First Quadrant 12. In which quadrant does the point (−4, −7) lie? Answer: Third Qua...

NCERT Class 7 Maths Part 2 Chapter 3 Finding Common Ground Worksheet with Answers Class 7 Maths Part 2 Chapter 3 Worksheet Fill in the Blanks 1. HCF stands for __________. Answer: Highest Common Factor 2. LCM stands for __________. Answer: Least Common Multiple 3. The HCF of 18 and 24 is __________. Answer: 6 4. The LCM of 8 and 12 is __________. Answer: 24 5. The HCF of two co-prime numbers is __________. Answer: 1 Write True or False 6. The HCF of two numbers can never be greater than either number. Answer: True 7. The LCM of two numbers is always less than their HCF. Answer: False 8. Co-prime numbers have HCF equal to 1. Answer: True 9. Prime factorization can be used to find HCF and LCM. Answer: True 10. The LCM of two co-prime numbers is their product. Answer: True Short Answer Questions 11. Find the HCF of 20 and 30 . Answer: 10 12. Find the LCM of 15 and 20 . Answer: 60 13. Find the HCF of 24 and 36 . Answer: 12 14. Find the LCM of 9 and 6 . Answer: 1...

NCERT Class 7 Maths Part 2 Chapter 2 Operations with Integers Worksheet with Answers Class 7 Maths Part 2 Chapter 2 Worksheet Fill in the Blanks 1. Zero is neither __________ nor negative. Answer: Positive 2. The additive identity of integers is __________. Answer: 0 3. The additive inverse of −9 is __________. Answer: 9 4. (−8) × (−5) = __________. Answer: 40 5. (−42) ÷ 6 = __________. Answer: −7 Write True or False 6. The product of two negative integers is positive. Answer: True 7. The sum of a positive and a negative integer is always positive. Answer: False 8. Zero is an integer. Answer: True 9. The product of any integer and zero is zero. Answer: True 10. The quotient of two negative integers is negative. Answer: False Short Answer Questions 11. Find: −15 + 9 . Answer: −6 12. Find: 12 − (−8) . Answer: 20 13. Multiply: (−7) × 8 . Answer: −56 14. Divide: (−63) ÷ (−9) . Answer: 7 15. State the sign of the product of a positive integer and a negative int...

NCERT Class 7 Maths Part 2 Chapter 1 Geometric Twins Worksheet with Answers Class 7 Maths Part 2 Chapter 1 Worksheet Fill in the Blanks 1. Figures having the same shape and the same size are called __________ figures. Answer: Congruent 2. A square has __________ lines of symmetry. Answer: 4 3. A rectangle has __________ lines of symmetry. Answer: 2 4. Reflection produces a __________ image. Answer: Mirror 5. Translation means __________ a figure without turning it. Answer: Sliding Write True or False 6. All congruent figures are similar. Answer: True 7. A circle has infinitely many lines of symmetry. Answer: True 8. A scalene triangle has no line of symmetry. Answer: True 9. Rotation changes the size of a figure. Answer: False 10. Symmetry is commonly found in nature and architecture. Answer: True Short Answer Questions 11. What are congruent figures? Answer: Congruent figures have the same shape and the same size. 12. How many lines of symmetry does an equilater...

NCERT Class 7 Maths Part 2 Chapter 7 Finding the Unknown MCQ Questions with Answers Class 7 Maths Part 2 Chapter 7 MCQs 1. A variable is: A. A fixed number B. A letter representing an unknown value C. A mathematical operation D. A constant value Answer: B 2. Solve: x + 8 = 15 A. 5 B. 6 C. 7 D. 8 Answer: C 3. Solve: y − 9 = 12 A. 19 B. 20 C. 21 D. 22 Answer: C 4. Solve: 5a = 40 A. 6 B. 7 C. 8 D. 9 Answer: C 5. Solve: b ÷ 6 = 9 A. 45 B. 48 C. 54 D. 60 Answer: C 6. Solve: 3x + 4 = 19 A. 4 B. 5 C. 6 D. 7 Answer: B 7. Solve: 2m − 8 = 18 A. 12 B. 13 C. 14 D. 15 Answer: B 8. Solve: 7p = 63 A. 7 B. 8 C. 9 D. 10 Answer: C 9. Solve: n/5 = 11 A. 50 B. 55 C. 60 D. 65 Answer: B 10. Which operation is the inverse of addition? A. Multiplication B. Division C. Subtraction D. Squaring Answer: C 11. Which operation is the inverse of multiplication? A. Addition B. Division C. Subtraction D. Simplification Answer: B 12. Check whether x = 6 satisfies the equation x + 9 = 15. A. Yes B. No C. Cann...

NCERT Class 7 Maths Part 2 Chapter 6 Constructions and Tilings MCQ Questions with Answers Class 7 Maths Part 2 Chapter 6 MCQs 1. Which instruments are mainly used for geometric constructions? A. Ruler and Compass B. Calculator and Scale C. Pencil and Eraser D. Divider and Marker Answer: A 2. A compass is mainly used to: A. Draw straight lines B. Draw circles and arcs C. Measure angles D. Find area Answer: B 3. A ruler is mainly used to: A. Draw circles B. Draw straight lines C. Measure angles only D. Draw curves Answer: B 4. A tessellation is a pattern that: A. Has gaps between shapes B. Has overlapping shapes C. Covers a surface without gaps or overlaps D. Uses circles only Answer: C 5. Which regular polygon can tessellate a plane by itself? A. Regular Pentagon B. Square C. Regular Octagon D. Regular Decagon Answer: B 6. Which of the following also tessellates a plane? A. Regular Hexagon B. Equilateral Triangle C. Both A and B D. Circle Answer: C 7. Can a regular pentagon tessel...

NCERT Class 7 Maths Part 2 Chapter 5 Connecting the Dots MCQ Questions with Answers Class 7 Maths Part 2 Chapter 5 MCQs 1. A line segment has: A. No endpoints B. One endpoint C. Two endpoints D. Three endpoints Answer: C 2. A ray has: A. No endpoint B. One endpoint C. Two endpoints D. Three endpoints Answer: B 3. A line has: A. No endpoints B. One endpoint C. Two endpoints D. Four endpoints Answer: A 4. The shortest distance between two points is: A. A curve B. A line segment C. A ray D. A circle Answer: B 5. A polygon is a: A. Curved figure B. Closed figure made of line segments C. Circular figure D. Open figure Answer: B 6. How many sides does a pentagon have? A. 4 B. 5 C. 6 D. 7 Answer: B 7. How many sides does a hexagon have? A. 5 B. 6 C. 7 D. 8 Answer: B 8. The sum of the interior angles of a triangle is: A. 90° B. 180° C. 270° D. 360° Answer: B 9. The sum of the interior angles of a quadrilateral is: A. 180° B. 270° C. 360° D. 540° Answer: C 10. A polygon with eight side...

NCERT Class 7 Maths Part 2 Chapter 4 Another Peek Beyond the Point MCQ Questions with Answers Class 7 Maths Part 2 Chapter 4 MCQs 1. The x-axis is: A. Vertical B. Horizontal C. Curved D. Slanting Answer: B 2. The y-axis is: A. Horizontal B. Vertical C. Circular D. Diagonal Answer: B 3. The point where the x-axis and y-axis intersect is called: A. Midpoint B. Vertex C. Origin D. Centre Answer: C 4. The coordinates of the origin are: A. (1, 1) B. (0, 0) C. (1, 0) D. (0, 1) Answer: B 5. The point (4, 3) lies in the: A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant Answer: A 6. The point (−5, 2) lies in the: A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant Answer: B 7. The point (−3, −6) lies in the: A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant Answer: C 8. The point (7, −2) lies in the: A. First quadrant B. Second quadrant C. Third quadrant D. Fourth quadrant Answer: D 9. Which point lies on the x-axis?...

NCERT Class 7 Maths Part 2 Chapter 3 Finding Common Ground MCQ Questions with Answers Class 7 Maths Part 2 Chapter 3 MCQs 1. HCF stands for: A. Highest Common Factor B. Highest Correct Fraction C. Higher Common Formula D. Highest Counting Figure Answer: A 2. LCM stands for: A. Least Common Method B. Lowest Common Multiple C. Least Common Multiple D. Largest Common Measure Answer: C 3. The HCF of 18 and 24 is: A. 3 B. 4 C. 6 D. 12 Answer: C 4. The LCM of 12 and 18 is: A. 24 B. 30 C. 36 D. 48 Answer: C 5. The HCF of two co-prime numbers is: A. 0 B. 1 C. 2 D. Their product Answer: B 6. The LCM of two co-prime numbers is: A. Their sum B. Their difference C. Their product D. 1 Answer: C 7. Which method is commonly used to find HCF? A. Prime factorization B. Long division C. Both A and B D. Estimation only Answer: C 8. The HCF of 20 and 30 is: A. 5 B. 10 C. 15 D. 20 Answer: B 9. The LCM of 9 and 6 is: A. 12 B. 18 C. 24 D. 54 Answer: B 10. Which of the following is always less than o...

NCERT Class 7 Maths Part 2 Chapter 2 Operations with Integers MCQ Questions with Answers Class 7 Maths Part 2 Chapter 2 MCQs 1. Which of the following is an integer? A. 3.5 B. −8 C. 2/3 D. 4.7 Answer: B 2. The sum of −12 and 7 is: A. 19 B. −5 C. 5 D. −19 Answer: B 3. Evaluate: 15 + (−20) A. 5 B. −5 C. 35 D. −35 Answer: B 4. Evaluate: −9 + (−6) A. −15 B. 15 C. −3 D. 3 Answer: A 5. Find: 8 − (−4) A. 4 B. −12 C. 12 D. −4 Answer: C 6. Find: −14 − 5 A. −19 B. 19 C. −9 D. 9 Answer: A 7. Multiply: (−6) × 7 A. 42 B. −42 C. −13 D. 13 Answer: B 8. Multiply: (−9) × (−5) A. −45 B. 45 C. −14 D. 14 Answer: B 9. Divide: (−56) ÷ 8 A. 7 B. −7 C. −8 D. 8 Answer: B 10. Divide: (−81) ÷ (−9) A. −9 B. 9 C. −8 D. 8 Answer: B 11. The additive identity of integers is: A. 1 B. 0 C. −1 D. 10 Answer: B 12. The additive inverse of −18 is: A. −18 B. 18 C. 0 D. 36 Answer: B 13. The product of any integer and zero is: A. 1 B. The same integer C. 0 D. Undefined Answer: C 14. The product of two negative in...

NCERT Class 7 Maths Part 2 Chapter 1 Geometric Twins MCQ Questions with Answers Class 7 Maths Part 2 Chapter 1 MCQs 1. Congruent figures have: A. Different shapes and sizes B. Same shape and same size C. Same shape but different sizes D. Different shapes but same size Answer: B 2. Similar figures have: A. Same shape only B. Same size only C. Different shape and size D. Same shape and same size only Answer: A 3. Which shape has four lines of symmetry? A. Rectangle B. Square C. Triangle D. Pentagon Answer: B 4. A rectangle has how many lines of symmetry? A. 1 B. 2 C. 3 D. 4 Answer: B 5. An equilateral triangle has: A. 1 line of symmetry B. 2 lines of symmetry C. 3 lines of symmetry D. 4 lines of symmetry Answer: C 6. A circle has: A. No line of symmetry B. One line of symmetry C. Two lines of symmetry D. Infinitely many lines of symmetry Answer: D 7. Reflection produces a: A. Mirror image B. Bigger figure C. Smaller figure D. Curved figure Answer: A 8. Rotation means: A. Sliding a...

NCERT Class 7 Maths Part 2 Chapter 7 Finding the Unknown Extra Questions with Answers Class 7 Maths Part 2 Chapter 7 Extra Questions with Answers Q1. What is a variable? Answer: A variable is a letter used to represent an unknown value. Q2. Solve: x + 8 = 15 Answer: x = 7 Q3. Solve: y − 9 = 12 Answer: y = 21 Q4. Solve: 5a = 40 Answer: a = 8 Q5. Solve: b ÷ 6 = 9 Answer: b = 54 Q6. Solve: 3x + 4 = 19 Answer: x = 5 Q7. Solve: 2m − 8 = 18 Answer: m = 13 Q8. Solve: 7p = 63 Answer: p = 9 Q9. Solve: n/5 = 11 Answer: n = 55 Q10. What is the first step in solving a linear equation? Answer: Isolate the variable by performing inverse operations. Q11. Which operation is the inverse of addition? Answer: Subtraction. Q12. Which operation is the inverse of multiplication? Answer: Division. Q13. Check the solution of x = 6 for x + 9 = 15. Is it correct? Answer: Yes, because 6 + 9 = 15. Q14. Why do we use equations in mathematics? Answer: Equations help us find unknown values and solve re...

NCERT Class 7 Maths Part 2 Chapter 6 Constructions and Tilings Extra Questions with Answers Class 7 Maths Part 2 Chapter 6 Extra Questions with Answers Q1. What is a geometric construction? Answer: A geometric construction is the accurate drawing of geometric figures using a ruler and compass. Q2. Which instruments are mainly used for geometric constructions? Answer: A ruler and a compass. Q3. What is a tessellation (tiling)? Answer: A tessellation is a pattern of shapes covering a surface without gaps or overlaps. Q4. Which regular polygons can tessellate the plane by themselves? Answer: Equilateral triangles, squares, and regular hexagons. Q5. Can a regular pentagon tessellate a plane by itself? Answer: No. Q6. What is the first step in constructing a line segment? Answer: Draw a straight line and mark the required length. Q7. Why is a compass used in constructions? Answer: To draw circles and arcs with accurate radii. Q8. What is the purpose of a ruler in constructions? Answe...

NCERT Class 7 Maths Part 2 Chapter 5 Connecting the Dots Extra Questions with Answers Class 7 Maths Part 2 Chapter 5 Extra Questions with Answers Q1. What is a line segment? Answer: A line segment is a part of a line with two endpoints. Q2. What is a ray? Answer: A ray is a part of a line that has one endpoint and extends infinitely in one direction. Q3. How many endpoints does a line have? Answer: A line has no endpoints. Q4. What is the shortest distance between two points? Answer: A line segment. Q5. What is a polygon? Answer: A closed figure made of three or more line segments. Q6. How many sides does a pentagon have? Answer: 5 sides. Q7. How many sides does a hexagon have? Answer: 6 sides. Q8. What is the sum of the interior angles of a triangle? Answer: 180°. Q9. What is the sum of the interior angles of a quadrilateral? Answer: 360°. Q10. Name a polygon with eight sides. Answer: Octagon. Q11. What is a vertex of a polygon? Answer: The point where two sides meet. Q12. ...

NCERT Class 7 Maths Part 2 Chapter 4 Another Peek Beyond the Point Extra Questions with Answers Class 7 Maths Part 2 Chapter 4 Extra Questions with Answers Q1. What is a coordinate plane? Answer: A coordinate plane is formed by two perpendicular number lines called the x-axis and y-axis. Q2. What is the point where the x-axis and y-axis intersect called? Answer: Origin (0, 0). Q3. What are the coordinates of the origin? Answer: (0, 0) Q4. Which axis is horizontal? Answer: The x-axis. Q5. Which axis is vertical? Answer: The y-axis. Q6. Write the coordinates of a point 4 units right and 3 units up from the origin. Answer: (4, 3) Q7. In which quadrant does the point (5, 2) lie? Answer: First quadrant. Q8. In which quadrant does the point (−3, 4) lie? Answer: Second quadrant. Q9. In which quadrant does the point (−2, −6) lie? Answer: Third quadrant. Q10. In which quadrant does the point (7, −5) lie? Answer: Fourth quadrant. Q11. What is the x-coordinate of the point (8, −2)? Answ...

NCERT Class 7 Maths Part 2 Chapter 3 Finding Common Ground Extra Questions with Answers Class 7 Maths Part 2 Chapter 3 Extra Questions with Answers Q1. What is the HCF of two numbers? Answer: The Highest Common Factor (HCF) is the greatest number that divides both numbers exactly. Q2. What is the LCM of two numbers? Answer: The Least Common Multiple (LCM) is the smallest common multiple of two or more numbers. Q3. Find the HCF of 12 and 18. Answer: 6 Q4. Find the LCM of 8 and 12. Answer: 24 Q5. What is the HCF of 20 and 30? Answer: 10 Q6. Find the LCM of 15 and 20. Answer: 60 Q7. Which method is commonly used to find the HCF? Answer: Prime factorization method or division method. Q8. Which method is commonly used to find the LCM? Answer: Prime factorization method or common division method. Q9. Can the HCF of two numbers be greater than either of the numbers? Answer: No. Q10. Is the LCM always greater than or equal to the given numbers? Answer: Yes. Q11. What is the HCF of tw...

NCERT Class 7 Maths Part 2 Chapter 2 Operations with Integers Extra Questions with Answers Class 7 Maths Part 2 Chapter 2 Extra Questions with Answers Q1. What are integers? Answer: Integers are whole numbers, their negatives, and zero. Q2. What is the sum of −8 and 5? Answer: −3 Q3. Find: 12 + (−18). Answer: −6 Q4. Find: −15 + (−9). Answer: −24 Q5. Subtract: 9 − (−4). Answer: 13 Q6. Find: −12 − 8. Answer: −20 Q7. Multiply: (−7) × 6. Answer: −42 Q8. Multiply: (−5) × (−8). Answer: 40 Q9. Divide: (−36) ÷ 6. Answer: −6 Q10. Divide: (−56) ÷ (−8). Answer: 7 Q11. What is the product of any integer and zero? Answer: 0 Q12. What is the additive inverse of −13? Answer: 13 Q13. What is the multiplicative identity of integers? Answer: 1 Q14. State the sign of the product of two negative integers. Answer: Positive Q15. Why are integers used in daily life? Answer: Integers are used to represent temperatures, profits and losses, elevations, bank balances, and scores above or below zer...