Cubes And Cube Roots Exercise 6.2 1). Find the cube root of each of the following numbers by prime factorisation method. (i) 64 (ii) 512 (iii) 10648 (iv) 27000 (v) 15625 (vi) 13824 (vii) 110592 (viii) 46656 (ix) 175616 (x) 91125 Solution: (i) 64 64 = 2 X 2 …
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Cubes And Cube Roots Exercise 6.1 1). Which of the following are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 Solution: (i) 216 216 = 2 X 2 X 2 X 3 X 3 X 3 216 = 2 X 2 X 2 X 3 X …
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Squares And Square Roots Exercise 5.4 1). Find the square root of each of the following numbers by Division method. (i) 2304 (ii) 4489 (iii) 3481 (iv) 529 (v) 3249 (vi) 1369 (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900 Solution: (i) 2304 √2304 …
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Squares And Square Roots Exercise 5.3 1). What could be the possible ‘one’s’ digits of the square root of each of the following numbers? (i) 9801 (ii) 99856 (iii) 998001 (iv) 657666025 Solution: (i) 9801 The possible one’s digit of the square root of 9801 may be 1 or 9. …
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Squares And Square Roots Exercise 5.2 1). Find the square of the following numbers. (i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46 Solution: (i) 32 32 = 30 + 2 (a+b)2 = a2 + 2ab + b2 322 = (30 + 2)2 = (30)2 + 2 X …
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Squares And Square Roots Exercise 5.1 1). What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555 Solution: (i) 81 The …
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Data Handling Exercise 4.2 1). List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together Solution: (a) Spinning a wheel Possible outcomes = { A, B, C, D, E } (b) Tossing two coins together Possible outcomes = { HH, HT, TH, TT } …
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Data Handling Exercise 4.1 1). A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey. From this pie chart answer the following: (i) If 20 people liked classical music, how many young people …
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Understanding Quadrilaterals Exercise 3.4 1). State whether True or False. (a) All rectangles are squares (b) All rhombuses are parallelograms (c) All squares are rhombuses and also rectangles (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums. Answer: …
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Understanding Quadrilaterals Exercise 3.3 1). Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = …… (ii) Ð DCB = …… (iii) OC = …… (iv) m Ð DAB + m Ð CDA = …… Answer: (i) AD = BC The opposite sides of a parallelogram are congruent. (ii) …
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