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MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS Dynamic dear scholars, This is just a refreshing exercise for all of you to brush up your previous knowledge which will go a long way with you. Happy Working 1. Verify the property a × ( b + c ) = ( a × b ) + ( a × c ) a = - 3, b = 7, c = - 9 2. Verify the property (a × b) × c = a × ( b × c ) a = 5, b = - 8, c = - 7 3. Expand and simplify each expression w(6x+ 2w ) – 2w( 2w -9x) 2y(y+5x) + x(3x -4y) 4. Solve x+ (x+1) + (x+2) =66 (2x+3 ) + (3x – 1)= 102 5. Work out the value of y in each of these shapes. 6. The product of two numbers is 105. One of the numbers is (- 21), what is the other number? 7. Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages. 8. Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures. MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS 9.Divide $ 3000 in the ratio 3:4:5 $ 3302 in the ratio : 10. Arrange the following ratios in ascending order. 1:7 , 1:5 , 7:9 and 2:21 11. Two numbers are in the ratio 4:5 .If 6 and 5 are added to the first and second numbers respectively, the ratio becomes 5:6 . Find the numbers. 12. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? 13. Two numbers are respectively 20% and 50% more than a third number. Find the ratio of the two numbers ? 14. Plot the following points and write the name of the figure obtained by joining them in order: P(– 3, 2), Q (– 7, – 3), R (6, – 3), S (2, 2) 15. Write whether the following statements are True or False? Justify your answer. (i) (ii) (iii) (iv) Point (3, 0) lies in the first quadrant. Points (1, –1) and (–1, 1) lie in the same quadrant. A point whose x- coordinate is zero and y – coordinate is non zero will lie on the Y axis. Point (-2 , 0) lies on y-axis. MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS Activity( to be done according to your roll number) Roll No. Roll No. 1 to 5 Topic Roll No. 6 to 10 See what you eat Description: Take a small packet of wafers. List out its ingredients with their weights and calories. 1. Find out total calories consumption. 2. Convert the weight of each ingredient in mg, g and kg. 3. Why should we avoid junk food? Name any two healthy foods. Write Ratio of two common ingredients in 2 healthy foods & 2 unhealthy junk food. Family Survey Description: Collect data of number of family members of 10 neighbourhood families and find mean, mode and median. Write your observations, calculations and results in a separate notebook. Roll No. 11 to 15 Tangram activity Description: 1. Draw a big square on a piece of paper. Convert it into four small squares by folding the paper. Now we can see each part is 1/4 of the whole. Again you can divide figure into other parts as directed in the figure and decide the value of each part. 2. Now using these pieces create minimum 5 shapes in your scrap book. Reference MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS Roll No. 16 to 20 Triangle crossword puzzle. Description: Design the crossword puzzle on a card sheet and complete with the help of given clues : Across: 1. A triangle with all sides equal. 4. A triangle with unequal sides. 6. The sides of the right triangle other than hypotenuse. 8. The property which says h2 = p2 + b2 9. Distance of a vertex of a triangle to its opposite base. Down: 2. Side opposite to the right angle of a right triangle. 3. A triangle in which two sides are equal. 5. A line segment drawn perpendicular to one side of a triangle from its opposite vertex. 7. The line segment joining the midpoint of one side of a triangle to its opposite vertex. Roll No. 21 to 25 Album of symmetrical shapes Description: Line of symmetry is found in abundance everywhere around us. Collect samples of symmetrical figures found in nature, in your house, school etc. and prepare an album having 15-20 photographs. Roll No. 26 to 30 To verify that the sum of first n odd natural numbers is n2 Description: • Draw squares of sides 1 cm, 2 cm, 3 cm, 4 cm and 5 cm on scrap book and cut them. • Divide the squares into smaller squares of side 1x1 and shade each square with a different colour. • Count the number of squares in different colour bands and write the numbers at the corners as shown. 12= 1 22 = 1+3=4 32 = 1+3+5=9 42=1+3+5+7=16 5v=1+3+5+7+9=25 MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS Roll No. 31 to 35 Verification of (a+b) 2 = a2 + b2+ 2ab Description : Take a piece of card board. Draw a square a x a, another square b x b and, 2 rectangles a x b on it. Cut off figures as shown. Measure and write the area of various cut outs. Prove the identity. Roll No. 36 to 40 Verification of (a2-b2) = (a+b) (a-b) Description : Take a piece of cardboard. Draw the rectangles as shown. Measure and write the area of various cut outs. Prove the identity. Roll No. 41 to 45 Tessellation pattern Description : Design 5 different tessellations patterns in a scrap book as shown in the figure. (For help you may see the video link) https://www.youtube.com/watch?v=ENMeKmI0z14 Roll No. 46 to 51 Envelope Math Description : How to make a straight line look curved? With the help of the following link, draw atleast 2 designs. https://www.youtube.com/watch?v=uulfOWzIe9o MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS MODY SCHOOL, LAKSHMANGARH HOLIDAY HOMEWORK CLASS VIII SUBJECT : MATHEMATICS