Algebraic Expressions Exercise 12.1 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 of numbers p and q. (v) Numbers x and …
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Comparing Quantities Exercise 8.2 1). Convert the given fractional numbers to per cents. (a) 1/8 (b) 5/4 (c) 3/40 (d) 2/7 Solution: (a) 1/8 (b) 5/4 (c) 3/40 (d) 2/7 2). Convert the given decimal fractions to per cents. (a) 0.65 (b) 2.1 (c) 0.02 (d) 12.35 Solution: (a) 0.65 0.65 = …
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The Triangle and Its Properties Exercise 6.3 1). Find the value of the unknown x in the following diagrams: i). by angle sum property of a triangle mÐA + mÐB + mÐC = 1800 x + 500 + 600 = 1800 x + 1100 = 1800 x = 1800 – 1100 x = 700 …
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Lines and Angles Exercise 5.2 1). State the property that is used in each of the following statements? (i) If a || b, then ∠1 = ∠5. (ii) If ∠4 = ∠6, then a || b. (iii) If ∠4 + ∠5 = 180°, then a || b. Answer: (i) If a || b, then ∠1 = …
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Lines and Angles Exercise 5.1 1). Find the complement of each of the following angles: i) 200 ii). 630 iii). 570 Solution: i) 200 let the complementary of 200 be x. x + 20 = 90 x = 90 – 20 x = 70 ii). 630 let the complementary of 630 be x. x …
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Simple Equations Exercise 4.3 1). Solve the following equations: (a) 2 y + 5/2 = 37/2 (b) 5t + 28 = 10 (c) a/5 + 3 = 2 (d) q/4 + 7 = 5 (e) 5/2 x = –5 (f) 5/2 x = 25/4 (g) 7m+ 19/2 =13 (h) …
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Simple Equations Exercise 4.2 1). Give first the step you will use to separate the variable and then solve the equation: (a) x – 1 = 0 (b) x + 1 = 0 (c) x – 1 = 5 (d) x + 6 = 2 (e) y – 4 = – 7 …
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Simple Equations Exercise 4.1 1). Complete the last column of the table. Answer: S No. Equation Value Say, whether the Equation is satisfied (Yes/No) i x + 3 = 0 x = 3 No ii x + 3 = 0 x = 0 No iii x + 3 = 0 x = -3 Yes iv …
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Data Handling Exercise 3.4 1). Tell whether the following is certain to happen, impossible, can happen but not certain. (i) You are older today than yesterday. (ii) A tossed coin will land heads up. (iii) A die when tossed shall land up with 8 on top. (iv) The next traffic light seen will be …
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Data Handling Exercise 3.2 1). The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20. Find the mode and median of this data. Are they the same? The scores in ascending order is 5, 9, …
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