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Question 1.Carry out the following additions of rational numbers: ii. 12/3 +24/5 iii. 11/17 + 13/19 iv. 23/11 + 13/77 Question 2.Carry out the following subtractions involving rational numbers. ii. 13/36 – 2/40 iii. 12/3 – 35/6 iv. 41/2 – 31/3 Question 3.Multiply the following rational numbers. Question 4.Write the multiplicative inverse of. Question 5.Carry … Read more

Question 1.∠ACD is an exterior angle of ∆ABC. The measures of ∠A and ∠B are equal. If m∠ACD = 140°, find the measures of the angles ∠A and ∠B. Solution:Let the measures of ∠A be x°.m∠A = m∠B = x°∠ACD is the exterior angle of ∆ABC∴ m∠ACD = m∠A + m∠B∴ 140 = x + … Read more

Question 1.Lines AC and BD intersect at point P. m∠APD = 47° Find the measures of ∠APB, ∠BPC, ∠CPD. Solution:∠APD and ∠APB are angles in a linear pair.∴m∠APD + m∠APB = 180°∴47 + m∠APB = 180∴47 + m∠APB – 47 = 180 – 47 ….(Subtracting 47 from both sides)∴m∠APB = 133°m∠CPD = m∠APB = 133° … Read more

Question 1.Draw the pairs of angles as described below. If that is not possible, say why.i. Complementary angles that are not adjacent.ii. Angles in a linear pair which are not supplementary.iii. Complementary angles that do not form a linear pair.iv. Adjacent angles which are not in linear pair.v. Angles which are neither complementary nor adjacent.vi. … Read more

Question 1.Name the pairs of opposite rays in the figure alongside. Solution: Question 2.Are the ray PM and PT opposite rays? Give reasons for your answer.Solution:No.Ray PM and Ray PT do not form a straight line and hence are not opposite rays. Intext Questions and Activities Question 1.Observe the adjacent figure and answer the following … Read more

Question 1.Write the measures of the supplements of the angles given below:i. 15°ii. 85°iii. 120°iv. 37°v. 108°vi. 0°vii. a°Solution:i. Let the measure of the supplementary angle be x°.∴ 15 + x = 180∴ 15 + x – 15 = 180 – 15….(Subtracting 15 from both sides)∴ x = 165∴ The measures of the supplement of … Read more

Question 1.The measures of some angles are given below. Write the measures of their complementary angles.i. 40°ii. 63°iii. 45°iv. 55°v. 20°vi. 90°vii. x°Solution:i. Let the measure of the complementary angle be x°.∴ 40 + x = 90∴ 40 + x – 40 = 90 – 40….(Subtracting 40 from both sides)∴ x = 50∴ The measure … Read more

Question 1.Observe the figure and complete the table for ∠AWB. Points in the interior Points in the exterior Points on the arms of the angles Solution: Points in the interior point C, point R, point N, point X Points in the exterior point T, point U, point Q, point V, point Y Points on the … Read more

Question 1.Choose the right option.i. The HCF of 120 and 150 is __(A) 30(B) 45(C) 20(D) 120Solution:(A) 30 Hint:120 = 2 x 2 x 2 x 3 x 5150 = 2 x 3 x 5 x 5∴ HCF of 120 and 150 = 2 x 3 x 5 = 30 ii. The HCF of this … Read more

Question 1.Find the LCM:i. 12, 15ii. 6, 8, 10iii. 18, 32iv. 10, 15, 20v. 45, 86vi. 15, 30, 90vii. 105, 195viii. 12,15,45ix. 63,81x. 18, 36, 27Solution:i. 12, 15 ∴ LCM of 12 and 15 = 3 x 2 x 2 x 5= 60 ii. 6, 8, 10∴ LCM of 6, 8 and 10 = 2 … Read more