9.Evaluate. 8 Simplify i) ( ) 0 ii)( ) 2 2 iii)

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1 MODERN SCHOOL FARIDABAD CLASS VIII ASSISGNMENT (MATHEMATICS) EXPONENTS AND POWERS 1 Evaluate: (5-1 x 8 2 ) / ( 2-3 x 10-1 ). 2. Find the value of 'm' for which 6 m / 6-3 = 6 5? 3. Evaluate [(1/2) -1 - (1/3) -1 ] Compare 7x 10-6 and 129 x The size of a plant cell is m. express it in standard form. 6. If the thickness of a paper sheet is cm, find the thickness of 100 sheets. Express the answer in standard form. 7. Find the value of: 8 Simplify i) ( ) 0 ii)( ) 2 2 iii) 9.Evaluate UNDERSTANDING QUADRILATERALS 1. The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides have the polygon? 2. The measures of two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of the angles of the parallelogram. 3. An angle of a parallelogram measures 70. Find the measure of the remaining three angles. 4. One angle of a quadrilateral is 111 and the remaining three angles are equal. Find three angles. 5. What is the ratio of the interior angles of a pentagon and a decagon? 6.One angle of a parallelogram is of measure 70. Find the measures of the remaining angles of the parallelogram. 7. Find x, y, z in the given parallelogram ABCD. 8. The adjacent figure HOPE is a parallelogram. Find the angle measure x, y and z. State the properties you use to find them.

2 9. Find value of x and y in the following figures. (i) where ABCD is a parallelogram. (ii) where PQRS is a rhombus. 10 In a quadrilateral ABCD, DO and CO are the bisectors of D and C respectively. Prove that LINEAR EQUATION IN TWO VARIABLES 1. What should be subtracted from thrice the rational number -8/3 to get 5/2? 2. A is twice old as B. Five years ago A was 3 times as old as B. Find their present ages. 3. Perimeter of a rectangle is 13cm. if its width is 11/4 cm, find its length. 4. The present of Sita s father is three times the present age of Sita. After six years sum of their ages will be 69 years. Find their present ages. 5. The digits of a two-digit number differ by 3. If digits are interchanged and the resulting number is added to the original number, we get 121. Find the original number. 6 Sanjay will be 3 times as old as he was 4 years ago after 18 years. Find his present age. 7. If the sum of two numbers is 30 and their ratio is 2/3 then find the numbers. 8. The numerator of a fraction is 2 less than the denominator. If one is added to its denominator, it becomes 1/2 find the fraction 10. Show that x = 4 is a solution of the equation x + 7 8x/3 = 17/6 5x/8 11. Find x for the equation: (2 + x)(7 x)/(5 x)(4 + x) = Divide 40 into two parts such that 1/4th of one part is 3/8th of the other. CLASS VIII ASSISGNMENT (MATHEMATICS) DIRECT AND INVERSE VARIATION 1. 6 pipes are required to fill a rank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used? 2. There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provisions last, if 25 more students join the group? 3. If 15 workers can build a wall in 48 hours. How many workers will be required to do the same work in 30 hours? 4. The principal sanctioned a certain amount to the librarian to purchase some Mathematics books for the school library. She could buy 80 books casting Rs 90 each from the local book seller. There she approached to the publisher who offered her a 20% discount, Find the number of copies of Mathematics books which she could buy from the publisher for the sanctioned money. 5. A mixture of paint is prepared by mixing 1 part of green pigments with 6 parts of the base. In the following table, find the parts of base needed to be added.

3 6. Jagmeet has a road map with a scale of 1 cm = 20 km. He drives on a road for 72 km. What would be his distance covered in the map? 7. In a PG House, the food provision for 20 persons is for 10 days. How long would the food provision last if there were 5 more persons in that PG house? 8.A contractor estimates that 5 persons complete a task in 4 days. If he uses 4 persons instead of 5, how long should they take to complete the task? 9 A school has 9 periods a day each of 50 minutes duration. How many period will there be, if the duration of every period is reduced by 5 minutes? 10. In a model of a ship. the mast is 9 cm high, while the mast of the actual ship is 12 m high.. If the length of the model ship is 21 cm, then how long is the actual ship? PRACTICAL GEOMETRY 1.Construct a rhombus whose diagonals are 4.8 cm and 6.3 cm. 2. Draw a parallelogram whose adjacent sides are 2.8 cm and 3.8 cm. 3. Draw a rectangle whose adjacent sides are 4.5 cm and 2.3 cm. 4. Construct a quadrilateral ABCD, where AB = 4.3 cm, BC = 5.2 cm, CD = 6.5 cm, B = 105 and C = Construct a quadrilateral PQRS where PQ = 5.4 cm, P = 60. Q = 105, R = 75 and S = Draw a rectangle whose adjacent sides are 3 cm and 5 cm. 7. Construct a quadrilateral ABCD, where AB= 4.3 cm, BC= 5.2 cm, CD= 6.5 cm, B= 105 and C= 60. ALGEBRAIC EXPRESSION AND IDENTITIES 1. Simplify the following (i) (p + q) 2 (p q) 2 + p 2 q 2 (ii) (2m 8n) 2 + (2m + 8n) 2 (iii) (4m + 5n) 2 + (5m + 4n) 2 + (4m + 5n) (4m -5n) 2. Using identities, evaluate. a) b) 999² c) d) 2.1 x a) If a -1/a =4, find the value of a 2 + 1/a 2 b) If p +q =13 and pq =22, then p 2 + q 2 4. Verify the identity (x + a)(x + b) = x 2 + (a + b)x + ab for a = 2, b = 3 and x = 4. (3) FACTORISATION 1. Factorise: 54x x 3 30x 4 2. Regroup the terms and factorise: z xy xyz 3. Factorise: 100x 2 80xy + 16y 2 4. Factorise: 16x 4 y 4 5. Factorise: x 2 + 6x Factorise: 49y Divide 10(x 3 y 2 x 2 + x 2 y 3 z 2 + x 2 y 2 z 3 ) by 5x 2 y 2 z Simplify: 12(y 2 + 7y + 10) 6(y + 5) 9. Simplify: 4x 2 y 2 (3z 24), 36xy(z 8) 10. Divide: 81x 3 (50x 2 98) by 27x 2 (5x + 7) 11. By which of the following a 4 b 4 be divided to get quotient (a 2 + b 2 ) (a b) and, remainder as Is (a 1) (b 1) the factorisation of (ab a b +1) or (ab a + b 1)? 13. Factorise : 27x 3 21x x Factorise: (i) p 2 8p Divide 63(p 4 + 5p 3 24p 2 ) by 9p(p + 8). COMPOUND INTEREST 1.

4 CLASS VIII ASSISGNMENT (MATHEMATICS) INTRODUCTION TO GRAPHS 1.The graph shows the temperature of a patient recorded before noon. Read it and answer the following questions. (i) What was patients temperature at 9 a.m.? (ii) What the highest temperature of the patient? (iii) When was the patient's temperature lowest? (iv) During which period, the patient's temperature remained constant? 2. The graph shows the yearly sales figure of a shoe manufacturing company.

5 (i) What were the sales in 2000? (ii) In which year the sales were maximum? (iii) What is the difference between the sales in the year 2003 and 2005? 3. Draw a linear graph for the following data: Month May June July August Rainfall. (in cm) Plot the points on a graph: A(4. 9); B(6, 0); C(7, 7); D(2, 4) 5. Plot the points A(4, 3). B(4, 0), (4, ï ½2), (4, 6) and join them. Do they lie on the same line? MENSURATION If each side of a cube is doubled, how many times will its surface area increase? 2. Find the height of a cuboid whose base area is 180 cm 2 and volume is 900 cm A cuboid is of dimensions (60*50*30)cm.How many small cubes with side 6 cm can be placed in the given cuboid? 4. Find the height of the cylinder whose volume is 1.54 m 3 and diameter of base is 140 cm. 5. Find the area of trapezium where length of parallel sides are 15 cm and 25 cm and the third side measures 12 cm. 6.. In a building there are 24 cylindrical pillars with each having a radius 28 cm and height 4 m. Find the cost of painting the curved surface area of all pillars at the rate of Rs. 8 per meter square.. 7. If each side of a cube is doubled, how many times will its volume increase? 8. A rectangular sheet of paper is having measures 11 cm* 4 cm. it is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder. 9 A box is in the form of cuboid of dimensions (80*30*40) cm. The base the side faces and back faces are to be covered with a coloured paper. Find the area of paper needed. 10. The lateral surface area of a hollow cylinder is 4224 cm 2. It is cut along its height and formed a rectangular sheet of width 33 cm. find the perimeter of rectangular sheet. 11. A roller takes 750 complete revolutions to move once over a level of road. Find the area of road if the diameter of the roller is 84 cm and length is 1 m.

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