A Square and A Cube
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Square Numbers
SubtopicSquare Numbers under A Square and A Cube for Grade 8 CBSE.
Preview questions (no answers)
- 1.
A perfect square ending in 0 must have:
A.At least one zero
B.An even number of zeros
C.An odd number of zeros
D.Exactly one zero
- 2.
Which of these is the square of 17?
A.269
B.279
C.289
D.259
- 3.
The value of is:
A.40
B.400
C.200
D.4000
- 4.
What is the units digit of the square of 111?
A.1
B.2
C.3
D.0
- 5.
Find the smallest number that should be multiplied with to make it a perfect square.
A.B.C.D. - 6.
If is a square number, then the next immediate square number is:
A.B.C.D. - 7.
The number of digits in the square root of is:
A.B.C.D. - 8.
If , find the value of up to three decimal places.
A.B.C.D. - 9.
The number of zeros at the end of the square of is:
A.B.C.D. - 10.
Without adding, find the sum of: .
A.B.C.D.
Download the worksheet for A Square and A Cube - Square Numbers to practice offline. It includes additional chapter-level practice questions.
Cubic Numbers
SubtopicCubic Numbers under A Square and A Cube for Grade 8 CBSE.
Preview questions (no answers)
- 1.
What is the smallest natural number by which must be multiplied to make it a perfect cube?
A.5
B.10
C.25
D.125
- 2.
Find the cube root of .
A.30
B.300
C.3
D.90
- 3.
What is the volume of a cube with a side length of cm?
A.100 cm³
B.30 cm³
C.1000 cm³
D.10000 cm³
- 4.
Find the value of .
A.0.06
B.6
C.0.6
D.0.006
- 5.
If the edges of two cubes are in the ratio , what is the ratio of their volumes?
A.B.C.D. - 6.
Find the cube root of .
A.B.C.D. - 7.
What is the smallest number by which must be multiplied to make it a perfect cube?
A.B.C.D. - 8.
Find the smallest natural number by which must be divided so that the quotient is a perfect cube.
A.B.C.D. - 9.
If , find the value of .
A.B.C.D. - 10.
Evaluate: .
A.B.C.D.
Download the worksheet for A Square and A Cube - Cubic Numbers to practice offline. It includes additional chapter-level practice questions.
A Pinch of History
SubtopicA Pinch of History under A Square and A Cube for Grade 8 CBSE.
Preview questions (no answers)
- 1.
What is the value of ?
A.B.C.D. - 2.
Which of these is a perfect square ending in ?
A.B.C.D. - 3.
What is the cube of ?
A.B.C.D. - 4.
In a Pythagorean triplet , if , the triplet is:
A.B.C.D. - 5.
How many perfect squares are there between and (inclusive)?
A.2
B.3
C.4
D.5
- 6.
If the unit digit of a number is , then the unit digit of its cube is:
A.0
B.5
C.2
D.1
- 7.
What is the cube of ?
A.0.1
B.0.01
C.0.001
D.1.0
- 8.
A number is multiplied by itself times to get . The square root of is . What is the value of ?
A.B.C.D. - 9.
Find the smallest square number which is divisible by each of the numbers and .
A.B.C.D. - 10.
The digit at the units place of the square of a number is . The digit at the units place of the cube of the same number is also . What is the units digit of the number?
A.B.C.or
D.
Download the worksheet for A Square and A Cube - A Pinch of History to practice offline. It includes additional chapter-level practice questions.