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Exercise 12.1 : Solutions of Questions on Page Number : 234 Question 1:  Get the algebraicexpressions 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 of numbers p and q. (v) Numbers x and y both squared and added. (vi) Number 5 added to three times the product of number m and n. (vii) Product of numbers y and z subtracted from 10. (viii)Sum of numbers a and b subtracted from their…

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Exercise 11.1 : Solutions of Questions on Page Number : 208 Q1 : The length and the 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 1 m2 of the land costs Rs 10,000. Answer : (i) Area = Length x Breadth = 500 x 300 = 150000 m2 (ii)Cost of 1 m2 land = Rs 10000 Cost of 150000 m2 land = 10000 x 150000 = Rs 1500000000 NCERT Solutions for Class 7 Maths Chapter 11 – Perimeter and Area Q2 : Find the…

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Exercise 10.1 : Solutions of Questions on Page Number : 196 Q1 : Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only. Answer : The steps of construction are as follows. (i)Draw a line AB. Take a point P on it. Take a point C outside this line. Join C to P. (ii)Taking P as centre and with a convenient radius, draw an arc intersecting line AB at point D and PC at point E. (iii) Taking C as centre and with the same radius…

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Exercise 9.1 : Solutions of Questions on Page Number : 182 Q1 : List five rational numbers between: (i) – 1 and 0 (ii) – 2 and – 1 (iii)  -4/5 and -2/3 (iv)  1/2 and 2/3 Answer : (i) – 1 and 0 -1 / 10 , -1 / 20 , -1 / 30 , -1 / 40 , -1 / 50 , (ii) – 2 and – 1 Five rational numbers are -11/6 , -10/6 , -9/6 , -8/6 , -7/6 (iii) -4/5 and -2/3 Five rational numbers are -35/45 , -34/45 , -33/45 ,-32/45 ,-31/45 (iv)   1/2 and 2/3 Five rational numbers are NCERT Solutions for Class 7 Maths Chapter…

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Exercise 8.1 : Solutions of Questions on Page Number : 157 Q1 : 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 hours Answer : (a) Rs 5 to 50 paise 1 rupee = 100 paise 5 rupee = 500 paise Hence, the required ratio is 10:1. (b) 15 kg to 210 g 1 kg = 1000 g 15 kg = 15000 g Hence, the required ratio is 500:7. (c) 9 m to 27 cm 1 m = 100 cm 9 m…

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Exercise 7.1 : Solutions of Questions on Page Number : 137 Q1 : 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 the other angle is ………………… (c) When we write ∠ A = ∠ B, we actually mean ………. Answer : (a) They have the same length (b) 70° (c) m ∠ A = m ∠ B NCERT Solutions for Class 7 Maths Chapter 7 – Congruence of Triangles Q2 : Give any two real-life examples for congruent shapes. Answer : (i)…

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Exercise 6.1 : Solutions of Questions on Page Number : 116 Q1 : In ΔPQR, D is the mid-point of . is __________. PD is __________. Is QM = MR? Answer : (i) Altitude (ii) Median (iii) No NCERT Solutions for Class 7 Maths Chapter 6 – The Triangle and its Properties Q2 : Draw rough sketches for the following: (a) In ΔABC, BE is a median. (b) In ΔPQR, PQ and PR are altitudes of the triangle. (c) In ΔXYZ, YL is an altitude in the exterior of the triangle. Answer : (a) (b) (c) Here, it can be…

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Exercise 5.1 : Solutions of Questions on Page Number : 101 Q1 : Find the complement of each of the following angles: Answer : The sum of the measures of complementary angles is 90º. (i) 20° Complement = 90° – 20° = 70° (ii) 63° Complement = 90° – 63° = 27° (iii) 57° Complement = 90° – 57° = 33° NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles Q2 : Find the supplement of each of the following angles: Answer : The sum of the measures of supplementary anglesis 180º. (i) 105° Supplement = 180°…

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Exercise 4.1 : Solutions of Questions on Page Number : 8 Q1 : Complete the last column of the table. S. No. Equation Value Say, whether the equation is satisfied. (Yes/No) (i) x + 3 = 0 x = 3 – (ii) x + 3 = 0 x = 0 – (iii) x + 3 = 0 x = – 3 – (iv) x – 7 = 1 x = 7 – (v) x – 7 = 1 x = 8 – (vi) 5x = 25 x = 0 – (vii) 5x = 25 x = 5 – (viii) 5x…

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Exercise 3.1 : Solutions of Questions on Page Number : 62 Q1 : Find the range of heights of any ten students of your class. Answer : 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 = 125 Range = Highest value – Lowest value = (146 – 125) cm = 21 cm NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Q2 : Organise the following marks in a class assessment, in a tabular…

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