SURATGARH THERMAL DAV PUBLIC SCHOOL, STPS TOWNSHIP-335805
Holiday Home Work (Summer)
Class : VIII,
1.
2.
3.
4.
5.
Subject : Maths
CHAPTER : - I
Find the smallest no. by which the number 1100 must be multiple or divided so
that the product (or quotient) becomes a perfect square.
Find the least no. of 5 digits which is a perfect square.
Find the square root of 1.7 and 0.9 correct to three places of decimal.
Find square root by long division method.
(a) 477.4225
(b) 0.00008281
(c) 9998.001
Find
𝟖𝟏 + 𝟎. 𝟖𝟏 + 𝟎. 𝟎𝟎𝟖𝟏 X 𝟏𝟎𝟎𝟎𝟎
6. Find 𝟑𝟕. 𝟎𝟖𝟖𝟏 & also( 𝟑𝟕𝟎𝟖𝟖𝟏 +
𝟑𝟕𝟎𝟖. 𝟖𝟏 ) ( 𝟑𝟕. 𝟎𝟖𝟖𝟏 + 𝟎. 𝟑𝟕𝟎𝟖𝟖𝟏 )
𝟏
7. The area of a square field is 30 m2. Calculate the length of side of the square.
𝟒
8. What must be added to 452664 to make it a perfect square?
9. Find the length of a side of a square playground whose area is equal to a
rectangular field of dimension 72m & 338m.
10.Find the least no. which must be subtracted from 18265 to make it a perfect
square. Also find the square root of resulting no.
CHAPTER :- II
CUBE AND CUBE ROOT
1. Is 8000 a perfect cube? What is that no. whose cube is 8000?
2. What is the smallest no. to be multiplied to 784 to make it a perfect
cube ? Find the cube root of number obtained?
3. What is the smallest no. to be divided from 8788, so that resultant no.
is a perfect cube?
4. The volume of a cube is 17.576 cm3. Find the length of an edge of the
cube?
5. Find cube root of the following.
(a) 2
𝟗𝟑
(b) 4.096
𝟏𝟐𝟓
6. Find (i)
(ii)
(c) - 0.001
(d) ∛𝟕𝟓 X ∛𝟒𝟓
𝟑
( −𝟑𝟑𝟕𝟓 X ∛𝟔𝟒 ) / ( ∛𝟏𝟕𝟐𝟖 X ∛𝟏𝟐𝟓 )
∛𝟓𝟏𝟐
𝟑
+
−𝟐𝟏𝟔
∛𝟐𝟏𝟗𝟕
∛𝟓𝟖𝟑𝟐
𝟑
(iii)
(∛𝟖𝟏 + −𝟏𝟗𝟐 + ∛𝟑𝟕𝟓 ) / ∛𝟐𝟒
7. Find volume of a cube whose surface area is 150 m2.
---------------------------------xxx-------------------------------