Summer Vacation Homework Class 8 Math
Dear Students and Dear Parents of CBSE Board, Are You looking for Summer Vacation holiday homework for Class 8 Math? If yes, you are on the right page. We have given here Summer Vacation Homework for Class 8 2024 – 25 session. We have given here several questions including several task and activities.
Summer Vacation Work Sheet Math Class 8 :
(1) White the Divisibility rules. From 1 to 20 with 3 examples for each divisibility.
(2) Solve:
(a) 8x = 20 + 3x
(b) 3x + 5/2x + 1 = 1/3
(c) x + 6/4 + x – 3/5 = 5x – 4/8
(d) 2x/3 + 1 = 7x/15 + 3
(e) 5x + 7/2 = 3/2 x – 14
(f) x = 4/5 (x + 10)
(3) Fill in the blanks :
(i) In a linear equation, the _____ power of variable appearing in the equation is one.
(ii) A term of an equation can be transposed to the other side by changing its ____.
(iii) A linear equation has always ____ Solution.
(iv) Shifting of a number or term from one side to other side of the equation is called _____.
(v) If a and b are positive integers, then the solution of theequation (ax + b = 0) has to be always _____.
(4) INSTRUCTIONS :
(i) Write neatly on A4 Size Sheets
(ii) Make near Borders on each page
(iii) Make a neat cover page with the following details:-
(a) School Name – ARMY PUBLIC SCHOOL, BINNAGURI
(b) Title- DIVISIBILITY RULES
(c) Submitted by:-
(i) Student name
(ii) Class
(iii) Roll number
(iv) Session – 2024- 25
(d) Teacher’s name
(e) Staple the sheets along the left margin to make it a booklet.
(5) Select the rational numbers from the list which are also the integers.
9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, -1/1, -2/1, -3/2, -4/2, -5/2, -6/2
(6) Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
(a) X = – 1/2 y = 3/4 & z = 1/4 .
(6) A train travels 1445/2 km in 17/2 hours. Find the speed of the train in Km/h.
(7) Arrange the numbers 1/4, 13/16, 8/5 in the descending order.
(8) Find 10 rational numbers between 1/5 and 2.
(9) Find the product of additive inverse and multiplicative inverse of – 1/3.
(10) Does 5/10 lie between 1/2 and 1.
(11) Write the rational number 10.11 in the from p/q format.
(12) Explain the statement with examples – “all the integers are rational numbers, but not all rational numbers are integers”.
(13) Show the the positions of these numbers on different Number lines –
(a) 5/7
(b) 12/19
(c) -13/9
(14) The sum of two numbers is 95. If one number exceeds the other by 15, find the numbers.
(15) I have a total of Rs 300 in coins of denominations Rs 1, Rs 2 and Rs 5. The number of Rs 2 coins is three times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
(16) Solve: 5x – 2(2x – 7) = 2(3x – 1) + 7/2
(17) The perimeter of a rectangular pool is 154m. Its length is 2m more than twice its breadth. What are the length and breadth of the pool?
(18) Instructions:-
- Write in a separate notebook maintained for holiday homework and other additional questions and exercises
- Print a copy of the questions and attach it to the notebook.
(19) What are the values of the interior and exterior angles of a regular polygon with 47 sides?
(20) Prove that the sum of all interior angles of a hexagon is 720°. (Hint: divide the hexagon into 3 triangles)
(21) Differentiate between concave and convex polygon with the help of figures.
(22) Give an example of a quadrilateral which is not a regular polygon butit’s interior angles are same.
(23) Can a regular polygon have 13.5° as its exterior angle. Justify your answer.
(24) Activity – 1
Complete the Grid 1 by following the direction of arrows
(25) Activity – 2
Move from start to finish by moving along the path indicated by the correct calculations. Shade your path.
(i) Write properties such as Closure, Commutative, Associative and Distributive for multiplication in Rational number.
(ii) Differentiate between properties of (Parallelogram, Rectangle) and (Square, Rhombus) with diagram using a chart paper.
(iii) What do you mean by Linear equations in two variables, write types of linear equations (with example).
(iv) Write difference between Rational number and Fraction with examples. Instructions : Prepare a separate folder to present your homework .use A4 sheet only.
(26) Draw well labeled and coloured chart for properties of polygon on A4 sheet. Learn all properties of polygon.
(27) Solve and find weather closure property on rational number is verified or not.
(i) -7/12 + +5/8
(ii) 2/3 + (5/6 + 7/12)
(28) Solve by using distributive property
(i) 2/3 × (-5/7 + 7/12)
(ii) (-2/3 + -5/6) × 12
(29) Write general formula and Verify associative property on Rational number
(i) a = 3/7 b = -6/11 c = -8/21
(ii) a = -4/5b = 3/7 c = 15/16
(30) Write difference between additive identity and additive inverse. Explain with some example.
(31) Write difference between multiplicative identity and multiplicative inverse. Explain with some example.
(32) Solve the following work sheet on linear equation
(i) 9 3/4 = y – 1 1/3
(ii) 5x/3 + 2/5 = 1
(iii) 1/2x + 7x – 6 = 77x + 1/4
(iv) 6z + 1/2 + 1 = 7x -3/3)
(v) (1 – 2x)/7 – (2 – 3x)/8 = 3/2 + x/4
(vi) 1 – 9y/19 – 3y) = 5/8
(vii) (ax + b) = O find value of x.
(viii) 5x/3 – 4 = 2x/5
(ix) 0.2x + 5/3.5x -3 = 2/5
(x) 0.4(3x-1)= 0.5x + 1
(33) Watch a documentary of any mathematician & explore or review how it can be related to topics of maths.
(34) Form different patterns of maths jewellery using match sticks/quill paper or any art material showcasing different types of quadrilaterals.
(35)
TOPIC |
INFORMATION TO BE GATHERED |
ACTIVITY TO BE DONE |
Mensuration and Ratio | Find the standard size of any one of the playgrounds (Example: – volleyball court, basketball court, swimming pool, etc.) | • Draw a model of the playground by reducing it to the ratio of 1:100.
• Find the area and the perimeter of this model. |
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