Download Maths Summer Assignment classes 6 to 9

Name
: …………………………………………………………..………………………………………..
Roll No.
Modi Public School, Siliguri.
Summer Holiday Assignment - Mathematics – Class 6
Choose the correct alternative from 1 to 18.
1. Which is greatest?
a. 234
b. 543
c. 657
d. 456
2. Which is smallest?
a. 4567
b. 3456
c. 2345
d. 1234
3. What is 100 – 1?
a. 9
b. 99
c. 999
d. 9999
4. What is the place value of 5 in ‘4567’?
a. 50
b. 5
c. 500
d. 5000
5. What is the sum of 567 and 843?
a. 567
b. 843
c. 1410
d. 1500
6. What is the predecessor of 1998?
a. 1997
b. 1996
c. 1995
d. 1994
7. What is the successor of 1999?
a. 1998
b. 2000
c. 2001
d. 2002
8. 540 ___ 504
a. >
b. <
c. =
d. none of these
9. 78654 _____ 87654
a. >
b. <
c. =
d. none of these
10. What is opposite of ’50 km of south’?
a. 50 km of north
b. 50 km of east
c. 50 km of west d. none of these
11. Which is the right form of integer ‘20°C above 0°C’?
a. -20
b. 20
c. -30
d. 30
12. Which number is to the right of the other on the number line? 0, -1
a. 0 is on the left of 1
b. 0 is on the right of 1
c. 0 is on the right of -1
d. 0 is on the left of -1
13. (– 11) + (– 12) = ______
a. -1
b. 23
c. 1
d. -23
14. (– 4) + (+ 3) = _____
a. -1
b. 1
c. -7
d. 7
15. -1 _____ 0
a. >
b. <
c. =
d. none of these
16. Sum of (– 9) and 15.
a. -24
b. 24
c. -6
d. 6
page 1 of 2
………………
Summer Holiday Assignment - Mathematics – Class 6
17. Subtract (-12) from 7.
a. 19
b. -19
c. -5
d. 5
18. What is opposite of ‘loss of Rs700’?
a. profit of Rs 700
b. loss of Rs 300
c. profit of Rs 500
d. loss of Rs 400
Fill in the blanks (19 to23)
19. (-24) + _____ = 0
20. The subtraction of an integer is the same as the addition of its ___________.
21. The collection of _________ can be written as..., –5, –4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5...
22. Farther a number from zero on the left, ________ is its value.
23. Fill in the blanks with >, < or = sign.
a. (– 3) + (– 6) ______ (– 3) – (– 6)
b. (– 21) – (– 10) _____ (– 31) + (– 11)
24. Which integers lie between – 6 and – 1? Which is the largest integer and the smallest integer among
them?
25. Represent the following numbers as integers with appropriate signs.
a. A submarine is moving at a depth, eight hundred metre below the sea level.
b. A deposit of rupees two hundred.
Page 2 of 2
Name
: …………………………………………………………..………………………………………..
Roll No.
………………
Modi Public School, Siliguri.
Summer Holiday Assignment – Mathematics [Integer, Fraction and Decimal] – Class 7
1. Fill this multiplication table:
X
-2
8
-5
3
6
-7
4
-6
5
40
2
-8
-24
-7
2. Start with the given number and perform the operation in the order shown by the arrows.
5
+8
+(-3)
+10
×5
×2
×5
÷100
3. Sum of the two integers is -231. If one of the integers is 345, find the other.
Page 1 of 2
500
Summer Holiday Assignment – Mathematics [Integer, Fraction and Decimal] – Class 7
4. Find the difference.
1. 1
2.
1
-
2
=
2
7
5. 4
1
-
6.
2
9. 3
1
5
6
1
-
5
=
6
13. 5
8
2
17. 3
1
-
5
2
1
3
2
2
18.
5
=
-
2
3
8.
2
1
5
3
3
-
4
=
12.
9
7
3
-
8
16.
=
4
3
=
3
4
2
=
9
=
2
-
1
3
19.
4
3
-
=
=
6
=
2
15.
3
-
3
=
2
=
1
11.
1
7
14.
1
2
4
-
2
3
-
2
5
=
5
=
7
4.
1
-
7.
10.
3
=
3
=
8
3.
2
4
-
4
20.
6
4
=
=
1
-
6
8
=
4
5. Add the following fractions.
1. 1
+
4
9
5. 1
2
+
+
6.
6
4
4
5
9. 3
1
+
+
5
10.
=
2
7.
+
9
4
3
2
11.
=
3
+
5
6
1
10
+
3
12.
1
=
12
1
=
3
=
4
=
4
2
4
+
8.
+
6
2
=
8
=
2
4.
3
+
10
6
6
=
6
=
9
3.
1
=
2
4
2.
5
3
+
2
=
9
6. Simplify using distributive property
a) (-9) x 42 + (-9) x 8
b) 49x (-43) + 49 x(-7)
7. Find
8. Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges and 4
kg 150 g bananas. Who bought more fruits?
9. A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover
in 10 litres of petrol?
10. Find the area of rectangle whose length is 5.7cm and breadth is 3 cm.
Name
: …………………………………………………………..………………………………………..
Roll No.
………………
Modi Public School, Siliguri.
Summer Holiday Assignment – Mathematics [Linear Equation, Rationaland Quadrilateral] – Class 8
Choose the correct alternative from the following:
1. Write the rational number that is equal to its negative.
a. 0
b. 1
c. -1
d. 2
2. Write the additive inverse of 2 /3.
a. 2 /3
b. 1
c. -2/3
d. 0
3. Find the multiplicative inverse of -13.
a. -13
b. 13 c. 12
d. -1/13
4. Solve: 3x = 2x + 18
a. 6
b. 9
c. 18
d. 0
5. Solve:
a. 3/2
b. ½
c. ¼
d. none of these
6. Find the measure of each exterior angle of a regular polygon of 15 sides.
a. 30º
b. 36º
c. 12º
d.
7. Find the angle measure x in the following figure:
a. 30º
b. 45º
c. 60º
d. 90º
8. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
a. 3
b. 4
c. 6
d. 8
9. State the name of a regular polygon of 3 sides.
a. triangle b. quadrilateral
c. pentagon d. hexagon
10. Find x + y + z + w.
a. 180º
b. 540º
c. 360º
d. 720º
Fill in the blanks:
1. The __________________of a parallelogram bisect each other.
2. The sum of the measures of the external angles of any polygon is _________.
3. The ________________ in a parallelogram are supplementary.
4. The diagonals of a _____________ are of equal length.
5. A _________________is both ‘equiangular’ and ‘equilateral’.
Page 1 of 2
Summer Holiday Assignment – Mathematics [Linear Equation, Rationaland Quadrilateral] – Class 8
Solve the following questions:
1. The difference between two whole numbers is 66. The ratio of the two numbers is 2:5. What are the
two numbers?
2. The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is
added to the original number, we get 143. What can be the original number?
3. The perimeter of a rectangle is 13 cm and its width is
cm. Find its length. Arjun is twice as old as
Shriya. Five years ago his age was three times Shriya’s age. Find their present ages.
4. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
5. The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their ages
will add to 66 years. Find their present ages.
Solve the following linear equations
1.
2.
3.
4.
5.
Page 2 of 2
Name
: …………………………………………………………..………………………………………..
Roll No.
………………
Modi Public School, Siliguri.
Summer Holiday Assignment – Mathematics [Polynomial and Real number] – Class 9
1. Simplified value of
(A) 25
2.
(D) 5
If (x+2) is a factor of 2x + 5x2- x- k, then value of k is
(B) -24
(C) -6
(D) 24
The value of p for which x+p is a factor of x2+px+3-p is
(A) 1
4.
(C) 1
3
(A) 6
3.
(B) 3
(B)
-1
(C) 3
(D) -3
The coefficient of x in the expansion of (x+2) 3 is
(A) 1
5. 0.
(B) 6
(C) 8
(D) 12
inthe form of p /q is
(A) 9/ 5
(B) 5 /10
(C) 5/9
(D) 10/ 5
6. Which of the following polynomials has (x+2) as a factor?
(A) 4x3-13x+6
(B) x3+x2+x+4
(C) 4x3+13x-25
(D) -2x3+x2-x-19
7. The factors of (2x-3y)3+(3y-4z)3+8(2z-x)3 are :
(A) 2x × 3y × 4z
(B) 2(2x-3y)(3y-4z)(2z-x)
(C) 6(2x-3y)(3y-4z) (2z-x)
(D) 3(2x-3y)(3y-4z)(2z-x)
8. The value of the polynomial x2-x-1 at x=-1 is
(A) -3
(B) 1
(C) -1
(D) 0
9. Which of the following polynomials has -3 as a zero?
(A) x-3
(B) x2-9
(C) x2-3x (D) x2+3
10. Which of the following expressions is a polynomial?
(A) x+1/ x
+x+x2
(B)
11. Simplify: 3
-
x+x3+3x2
(C)
(D) x-2 +3x
-
12. Factorise (i) 8 a3- b3-12a2b + 6ab2(ii) F (12x2-7x+1).
Page 1 of 2
Summer Holiday Assignment – Mathematics [Polynomial and Real number] – Class 9
13. Expand(i)
(ii) Evaluate using suitable identity (999)3
14. Find the remainder when (x-3) divides the polynomial x2-
x+3
.
then find the value of ‘a’?
15. If (x-1) is the factor of the polynomial
16. Simplify
17.
18.Using remainder theorem, find the remainder when x3+3x2+ 3x + 1 is divided by(x - ).
19. If (x+ y + z) = 0, then prove that (x3+y3+z3) = 3xyz.
20. Using suitable identity evaluate (-28)3+(9)3+(19)3
Page 2 of 2