NCERT Solutions Class 7 Mathematics Chapter 15 Visualizing Solid Shapes

Exercise 15.1 Q.1) Identify the nets which can be used to make cubes (cut out copies of the nets and try it): Sol.3) No, this cannot be a net for a die. Because one pair of opposite faces will have 1 and 4 on  them and another pair of opposite faces will have 3 and 6…

NCERT Solutions Class 7 Mathematics Chapter 6 Triangle and its properties

  Exercise 6.1 Q.1) In Δ PQR, D is the mid-point of QR. PM is _______ PD is ________ Is QM = MR? Sol.1) Given: QD = DR ∴ PM is altitude. PD is median. No, 𝑄𝑀 ≠ 𝑀𝑅 as D is the mid-point of QR Q.2) Draw rough sketches for the following: (a) In Δ 𝐴𝐵𝐶, BE is a…

NCERT Solutions Class 7 Mathematics Chapter 4 Simple Equations

Exercise 4.1 Q.1) Complete the last column of the table Sol.1) (i) 𝑥 + 3 = 0 L.H.S. = 𝑥 + 3 By putting 𝑥 = 3, L.H.S. = 3 + 3 = 6 ≠ R.H.S. ∴ No, the equation is not satisfied. (ii) 𝑥 + 3 = 0 L.H.S. = 𝑥 + 3 By putting 𝑥 = 0, L.H.S. = 0 + 3 = 3 ≠ R.H.S. ∴ No, the equation is…

NCERT Solutions Class 7 Mathematics Chapter 10 Practical Geometry

Exercise 10.1 Q.1) Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only. Sol.1) To construct: A line, parallel to given line by using ruler and compasses. Steps of construction: (a) Draw a line-…

NCERT Solutions Class 7 Mathematics Chapter 11 Perimeter and Area

  Exercise 11.1 Q.1) The length and breadth of a rectangular piece of land are 500 𝑚 and 300 𝑚 respectively. Find: (i) Its area. (ii) The cost of the land, if 1𝑚2 of the land costs 𝑅𝑠. 10,000. Sol.1) Given: Length of a rectangular piece of land = 500 𝑚 and…

NCERT Solutions Class 7 Mathematics Chapter 5 Lines and angles

Exercise 5.1 Q.1) Find the complement of the following angles Sol.1) The sum of values of complementary angles is 90°. (i) 20° Complement = 90° – 20° = 70° (ii) 63° Complement = 90° – 63° = 27° (iii) 57° Complement = 90° – 57° = 33° Q.2) Find the supplement of the…

NCERT Solutions Class 7 Mathematics Chapter 1 Integers

  Exercise 1.1 Q.1) Following number line shows the temperature in degree Celsius °C at different places on a particular day a) Observe this number line and write the temperature of the places marked on it. b) What is the temperature difference between the hottest…

NCERT Solutions Class 7 Mathematics Chapter 2 Fractions and Decimals

  Exercise 2.1 Q.2) Arrange the following in descending order i) 2/9, 2/3, 8/21 ii) 1/5, 3/7, 7/10 Sol.2) i) 2/9, 2/3, 8/21 Let’s take LCM of 9,3,21 9 = 3 × 3 21 = 3 × 7 3 = 3 × 1 So, we can take two 3’s as a common…

NCERT Solutions Class 7 Mathematics Chapter 13 Exponents and Power

Exercise 13.1 Q.1) Find the value of: (i) 26 (ii) 93 (iii) 112 (iv) 54 Sol.1) (i) 26 2 × 2 × 2 × 2 × 2 × 2 = 64 (ii) 93 9 × 9 × 9 = 729 (iii) 112 11 × 11 = 121 (iv) 54 5 × 5 × 5 × 5 = 65 Q.2) Express the following in exponential form: (i) 6 × 6 × 6 × 6 (…

NCERT Solutions Class 7 Mathematics Chapter 3 Data Handling

Exercise 3.1 Q.1) Find the range of heights of any ten students of your class. Sol.1) Let the heights (in cm) of 10 students of our class be 125, 127, 132, 133, 134, 136,138, 141, 144, 146 Highest value among these observations = 146 Lowest value among these observations =…

NCERT Solutions Class 7 Mathematics Chapter 7 Congruence of Triangle

Exercise 7.1 Q.1) Complete the following statements: (a) Two line segments are congruent if __________. (b) Among two congruent angles, one has a measure of 70° ,the measure of other angle is __________. (c) When we write ∠ 𝐴 = ∠ 𝐵, we actually mean ___________…

NCERT Solutions Class 7 Mathematics Chapter 8 Comparing Quantities

Exercise 8.1 Q.1) Find the ratio of : a) Rs 5 to 50 paise b) 15 kg to 210 g c) 9 m to 27 cm d) 30 days to 36 hour Sol.1) To find ratios, both quantities should be in same unit. (a) Rs. 5 to 50 paise ⇒ 5 × 100 𝑝𝑎𝑖𝑠𝑒 𝑡𝑜 50 𝑝𝑎𝑖𝑠𝑒 [ Rs. 1 = 100 paise] ⇒ 500 paise…

NCERT Solutions Class 7 Mathematics Chapter 12 Algebraic Expressions

Exercise 12.1 Q.1) Get the algebraic expressions in the following cases using variables, constants and arithmetic operations: (i) Subtraction of z from y. (ii) One-half of the sum of numbers x and y. (iii) The number z multiplied by itself. (iv) One-fourth of the product…