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Question 1.Draw line l. Take any point P on the line. Using a set square, draw a line perpendicular to line l at the point P.Solution:Step 1: Step 2:line PQ ⊥ line l Question 2.Draw a line AB. Using a compass, draw a line perpendicular to AB at point B.Solution:Step 1: Step 2: Step 3:line … Read more

Question 1.Draw ₹XYZW and answer the following:i. The pairs of opposite angles.ii. The pairs of opposite sides.iii. The pairs of adjacent sides.iv. The pairs of adjacent angles.v. The diagonals of the quadrilateral.vi. The name of the quadrilateral in different ways.Solution: i. a. ∠XYZ and ∠XWZb. ∠YXW and ∠YZW ii. a. side XY and side WZb. … Read more

Question 1.Observe the figures below and find out their names: Solution:i. Pentagon (5 sides)ii. Hexagon (6 sides)iii. Heptagon (7 sides)iv. Octagon (8 sides) Intext Questions and Activities Question 1.Observe the figures given below and say which of them are quadrilaterals. (Textbook pg. no. 81)Solution:Is a quadrilateral: (i) Question 2.Draw a quadrilateral. Draw one diagonal of … Read more

Question 1.Observe the figures below and write the type of the triangle based on its angles: Solution:i. right angledii. Obtuse anglediii. acute angled Question 2.Observe the figures below and write the type of the triangle based on its sides:Solution:i. equilateralii. scaleneiii. isosceles Question 3.As shown in the figure, Avinash is standing near his house. He … Read more

Question 1.At a rate of 10 p.c.p.a., what would be the interest for one year on Rs 6000?Solution:Principal Amount = Rs 6000Rate of Interest = 10 p.c.p.a.Let interest on principal Rs 6000 be Rs x.By taking ratio of the interest to the principal for both, we obtain an equation x 10 ∴ The interest for … Read more

Question 1.Cost price Rs 1600, selling price Rs 2800.Solution:Sanju bought goods worth Rs 1600 and sold them for Rs 2800. What was his profit in percentage?Cost price = Rs 1600, Selling price = Rs 2800Profit = Selling price – Cost price= 2800 – 1600= Rs 1200Let Sanju make profit of x%. ∴ x = 75%∴ … Read more

Question 1.Maganlal bought trousers for Rs 400 and a shirt for Rs 200 and sold them for Rs 448 and Rs 250 respectively. Which of these transactions was more profitable?Solution:Cost price of trousers = Rs 400Selling price of trousers = Rs 448Profit = Selling price – Cost price= 448 – 400 = Rs 48Let Maganlal … Read more

Question 1.From a wholesaler, Santosh bought 400 eggs for Rs 1500 and spent Rs 300 on transport. 50 eggs fell down and broke. He sold the rest at Rs 5 each. Did he make a profit or a loss? How much?Solution:Cost price of 400 eggs = Rs 1500Transportation cost = Rs 300∴ Total cost price … Read more

Question 1.The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was. Ex. Cost price (in Rs) Selling price (in Rs) Profit or Loss How much? i. 4500 5000 ii. 4100 4090 iii. 700 799 iv. 1000 920 Solution: … Read more

Question 1.Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored?Solution:Total marks of the examination = 800Marks scored by Shabana = 736Suppose Shabana scored A% marks. ∴ A = 92%∴ Shabana scored 92% marks. Question 2.There are 500 students in the school in Dahihanda village. If 350 of them … Read more