HOLIDAY HOME WORK
CLASS VII
Maths
1. Add the following rational numbers:
(i) -2/5 and 4/5
(ii) -6/11 and -4/11 (iii) -11/8 and 5/8 (iv) -7/3 and 1/3 (vi) 5/6 and -1/6
(vii) -17/15 and -1/15
2. Add the following rational numbers:
(i) 3/4 and -3/5 (ii) 5/8 and-7/2 (iii) -8/9 and 11/6 (iv) -5/16 and 7/24 (v) 7/-18 and 8/27 (vi) 1/-12 and 2/-15
(vii) -1 and 3/4 (viii) 2 and -5/4 (ix) 0 and -2/5
3. Verify the following:
(i) -12/5 + 2/7 = 2/7 + -12/7
(ii) -5/8 + -9/13 = -9/13 + -5 /8
(iii) 3 + -7/12 = -7/12 + 3
(iv) 2/-7 + 12/-35 = 12/-35 + 2/-7
4. Verify the following:
(i) (3/4 + -2/5) + -7/10 = 3/4 + (-2/5 + -7/10)
(ii) (-7/11 + 2/-5) + -13/22 = -7/11 + (2/-5 + -13/22)
(iii) -1 + (-2/3 + -3/4) = (-1 + -2/3) + -3/4
5. Fill in the blanks.
(i) (-3/17) + (-12/5) = (-12/5) + (_____ )
(ii) -9 + (-21/8) = (_____ ) + (-9)
(iii) (-8/13 + 3/7) + (-13/4) = (_____ ) + [3/7 + (-13/4)]
(iv) -12 + (7/12 + -9/11) = (-12 + 7/12) + (_____ )
(v) 19/-5 + (-3/11 + -7/8) = {19/-5 + (_____ )} + -7/8
(vi) -16/7 + _____ = _____ + -16/7 = -16/7
6. Find the additive inverse of each of the following:
(i) 1/3
(ii) 23/9
(iii) -18 (iv) -17/8
(viii) 0
(ix) 19/-6
(v) 15/-4
(vi) -16/-5
(x) -8/ -7
7. Subtract:
(i) 3/4 from 1/3
(ii) -5/6 from 1/3
(iii) -8/9 from -3/5
(v) -18/11 from 1
(vi) -13/9 from 0
(vii) -32/13 from -6/5
(iv) -9/7 from -1
(viii) -7 from -4/7
8. Using the rearrangement property find the sum:
(i) 4/3 + 3/5 + -2/3 + -11/5
(ii) -8/3 + -1/4 + -11/6 + 3/8
(iii) -13/20 + 11/14 + -5/7 + 7/10
(iv) -6/7 + -5/6 + -4/9 + -15/7
9. The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
10. The sum of two rational numbers is -1/2. If one of the numbers is 5/6 find the other.
11. What number should be added to -5/8 so as to get -3/2?
12. What number should be added to -1 so as to get 5/7?
13. What number should be subtracted from -2/3 to get -1/6?
14. (i) Which rational number is its own additive inverse?
(ii) Is the difference of two rational numbers a rational number?
(iii) Is addition commutative on rational numbers?
(vii) -3/11
(iv) Is addition associative on rational numbers?
(v) Is subtraction commutative on rational numbers?
(vi) Is subtraction associative on rational numbers?
(vii) What is the negative of a negative rational number?
15. Find the supplement of each of the following angles:
a. 700
b. 1200
c. 1350
d. 900
16. Find the complement of each of the following angles:
a. 350
b. 720
c. 450
d. 850
17. Find the value of x in each of the following figures.
a. Figures given in the class.
b.
c.
d.
Practice Questions
1. Express ¾ as a rational number with denominator
a.36
b. - 60
2. Express each of the following rational numbers to the lowest form. a. 132/ -428 b. -32/ -56
3. Write each of the following rational numbers in the standard form:
a. -15/ -35 b. 299/ -161
c. -63/ -210
d. 68/ -119
e. -195/275
4. Draw the number line and represent the following rational numbers on it:
a. 2/3
b. 3/4
5. Which of the two rational numbers in each of the following pairs of rational numbers is greater?
b. 5/-8 or -7/12
6. Add the following rational numbers
a. -3 and 3/5
b. -7/27 and 11/18
c.31/-4 and -5/8
(d) -8/9 and 11/6 (e) -5/16 and 7/24
7. Find the value and express as a rational number in standard form:
a.10/3 ÷ -35/12
b. -6÷ (-8/17)
a. 5/9 or -3/-8
8. The product of two rational numbers is -8/9.If one of the numbers is -4/15, find the other.
9. By what number should we multiply -8/13 so that the product may be 24?
10. Simplify each of the following and express the result as a rational number in standard form:
a. -16/21 x 14/5
b. 7/6 x -3/28
c. -19/36 x 16
d. -13/9 x 27/-26
11. Verify the following:
(i) -12/5 + 2/7 = 2/7 + -12/7
(ii) -5/8 + -9/13 = -9/13 + -5 /8
12. Find the additive inverse of each of the following:
(i) 1/3
(ii) 23/9 (iii) -18
(iv) -17/8
13. Find the additive inverse of each of the following:
(i) 1/3
(ii) 23/9 (iii) -18
(iv) -17/8
14. 7. Subtract:
(i) 3/4 from 1/3
(ii) -5/6 from 1/3 (iii) -8/9 from -3/5
(iv) -9/7 from -1
15. Using the rearrangement property find the sum:
(i) 4/3 + 3/5 + -2/3 + -11/5
(ii) -8/3 + -1/4 + -11/6 + 3/8
(iii) -13/20 + 11/14 + -5/7 + 7/10
(iv) -6/7 + -5/6 + -4/9 + -15/7
16. The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
17. The sum of two rational numbers is -1/2. If one of the numbers is 5/6 find the other.
18. What number should be added to -5/8 so as to get -3/2?
19. What number should be added to -1 so as to get 5/7?
20. What number should be subtracted from -2/3 to get -1/6?
21. (i) Which rational number is its own additive inverse?
(ii) Is the difference of two rational numbers a rational number?
(iii) Is addition commutative on rational numbers?
(iv) Is addition associative on rational numbers?
(v) Is subtraction commutative on rational numbers?
(vi) Is subtraction associative on rational numbers?
(vii) What is the negative of a negative rational number?
Social Science
1. Make a diagram of interior of the earth and show the various layers in proper colour.
2. Draw and label the structure of the atmosphere.
3. Collect the pictures of the Mughal Emperors Akbal and Shah Jahan and mention the achievements of each one of them.
4. Write down the names of the Prime Ministers from free India to till now.
5. Learn the given chapters from History, Geography and Civics for U.T.