Download mody school, lakshmangarh holiday homework class viii subject

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