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Curriculum-aligned learning paths for students in Classes 6-12.

CBSE
Class 8
Mathematics
Ganita Prakash Part I
A Square and A Cube
Question Bank

Question Bank - A Square and A Cube

Practice Hub

Question Bank: A Square and A Cube

Structured practice

Question Bank - A Square and A Cube

Q1.

What is the square of 5?

Single Answer MCQ
Q-00132846
View explanation
Q2.

Which of the following is a perfect square?

Single Answer MCQ
Q-00132847
View explanation
Q3.

The number 36 is the square of which integer?

Single Answer MCQ
Q-00132848
View explanation
Q4.

What is the next perfect square after 25?

Single Answer MCQ
Q-00132849
View explanation
Q5.

Which of the following numbers will have an even number of zeros in its square?

Single Answer MCQ
Q-00132850
View explanation
Q6.

If a number has 3 zeros at the end, how many zeros will its square have?

Single Answer MCQ
Q-00132851
View explanation
Q7.

What is the difference between the squares of 8 and 7?

Single Answer MCQ
Q-00132852
View explanation
Q8.

Which of the following represents a consecutive odd sum that yields a perfect square?

Single Answer MCQ
Q-00132853
View explanation
Q9.

Which is true about the square of an odd number?

Single Answer MCQ
Q-00132854
View explanation
Q10.

What is the square root of 64?

Single Answer MCQ
Q-00132855
View explanation
Q11.

If 15² = 225, what is 150²?

Single Answer MCQ
Q-00132856
View explanation
Q12.

How many perfect squares are between 1 and 30?

Single Answer MCQ
Q-00132857
View explanation
Q13.

Which number among the following is NOT a perfect square?

Single Answer MCQ
Q-00132858
View explanation
Q14.

Which of the following squares has exactly two digits?

Single Answer MCQ
Q-00132859
View explanation
Q15.

If a number ends with 5, what will the last digit of its square be?

Single Answer MCQ
Q-00132860
View explanation
Q16.

What pattern does the difference between consecutive perfect squares (n² - (n-1)²) follow?

Single Answer MCQ
Q-00132861
View explanation
Q17.

What is the square of 7?

Single Answer MCQ
Q-00132862
View explanation
Q18.

Which of the following is a perfect square?

Single Answer MCQ
Q-00132863
View explanation
Q19.

What is the cube of 3?

Single Answer MCQ
Q-00132864
View explanation
Q20.

Which of the following numbers is not a perfect cube?

Single Answer MCQ
Q-00132865
View explanation
Q21.

Which square number is found between 20 and 30?

Single Answer MCQ
Q-00132866
View explanation
Q22.

The square of which number gives 64?

Single Answer MCQ
Q-00132867
View explanation
Q23.

Which of the following is true about cube numbers?

Single Answer MCQ
Q-00132868
View explanation
Q24.

What is the next perfect square after 36?

Single Answer MCQ
Q-00132869
View explanation
Q25.

What is the value of 4^3?

Single Answer MCQ
Q-00132870
View explanation
Q26.

How many perfect squares are there between 1 and 30?

Single Answer MCQ
Q-00132871
View explanation
Q27.

Which number is both a perfect square and a perfect cube?

Single Answer MCQ
Q-00132872
View explanation
Q28.

Which of the following statements is true?

Single Answer MCQ
Q-00132873
View explanation
Q29.

What is the last digit of 12^2?

Single Answer MCQ
Q-00132874
View explanation
Q30.

Find the missing number: 1^3 + 2^3 + ___ = 9.

Single Answer MCQ
Q-00132875
View explanation
Q31.

If a number is a square, it cannot be which of the following?

Single Answer MCQ
Q-00132876
View explanation
Q32.

What must be added to 1^2 to get 9?

Single Answer MCQ
Q-00132877
View explanation
Q33.

What is the square of 7?

Single Answer MCQ
Q-00132878
View explanation
Q34.

Which of the following numbers is a perfect square?

Single Answer MCQ
Q-00132879
View explanation
Q35.

Which of the following can be the last digit of a perfect square?

Single Answer MCQ
Q-00132880
View explanation
Q36.

What is the cube of 4?

Single Answer MCQ
Q-00132881
View explanation
Q37.

If a number ends with a digit of 7, is it a perfect square?

Single Answer MCQ
Q-00132882
View explanation
Q38.

Which pattern is true for the squares of odd numbers?

Single Answer MCQ
Q-00132883
View explanation
Q39.

What is the next perfect square after 9?

Single Answer MCQ
Q-00132884
View explanation
Q40.

Which of the following equations is correct?

Single Answer MCQ
Q-00132885
View explanation
Q41.

What is the units digit of 25^2?

Single Answer MCQ
Q-00132886
View explanation
Q42.

If n is a natural number, what is the formula for the cube of n?

Single Answer MCQ
Q-00132887
View explanation
Q43.

Which of the following pairs are both cubes?

Single Answer MCQ
Q-00132888
View explanation
Q44.

Which number is closest to being a perfect square: 24, 25, 26, or 27?

Single Answer MCQ
Q-00132889
View explanation
Q45.

What is the volume of a cube with a side length of 3?

Single Answer MCQ
Q-00132890
View explanation
Q46.

Which number cannot be expressed as the sum of two cubes?

Single Answer MCQ
Q-00132891
View explanation
Q47.

Given that x is a cube, what could be the last digit of x?

Single Answer MCQ
Q-00132892
View explanation
Q48.

Which of the following statements about squares is true?

Single Answer MCQ
Q-00132893
View explanation
Q49.

What is the smallest cube greater than 20?

Single Answer MCQ
Q-00132894
View explanation
Q50.

What is the perfect square of 9?

Single Answer MCQ
Q-00132895
View explanation
Q51.

Which of the following numbers is a perfect cube?

Single Answer MCQ
Q-00132896
View explanation
Q52.

What is the cube root of 64?

Single Answer MCQ
Q-00132897
View explanation
Q53.

Which of the following is a perfect square?

Single Answer MCQ
Q-00132898
View explanation
Q54.

If the area of a square is 144 square units, what is the length of one side?

Single Answer MCQ
Q-00132899
View explanation
Q55.

Which expression represents the volume of a cube with side length 'a'?

Single Answer MCQ
Q-00132900
View explanation
Q56.

What is the next perfect square after 36?

Single Answer MCQ
Q-00132901
View explanation
Q57.

The cube of which number equals 729?

Single Answer MCQ
Q-00132902
View explanation
Q58.

Which statement about perfect cubes is true?

Single Answer MCQ
Q-00132903
View explanation
Q59.

If x is a perfect square, which of the following must also be a perfect square?

Single Answer MCQ
Q-00132904
View explanation
Q60.

How many positive perfect cubes are there less than 1000?

Single Answer MCQ
Q-00132905
View explanation
Q61.

Which of the following is not a property of perfect squares?

Single Answer MCQ
Q-00132906
View explanation
Q62.

What is the value of 3^3?

Single Answer MCQ
Q-00132907
View explanation
Q63.

Which number is a perfect cube and also a perfect square?

Single Answer MCQ
Q-00132908
View explanation
Q64.

If a number is both a perfect square and a perfect cube, what is it called?

Single Answer MCQ
Q-00132909
View explanation
Q65.

Find a perfect square between 20 and 30.

Single Answer MCQ
Q-00132910
View explanation
Q66.

What is the cube of 3?

Single Answer MCQ
Q-00132911
View explanation
Q67.

Which of the following numbers is a perfect cube?

Single Answer MCQ
Q-00132912
View explanation
Q68.

How many unit cubes make up a cube with edge length 2?

Single Answer MCQ
Q-00132913
View explanation
Q69.

The value of 5^3 is?

Single Answer MCQ
Q-00132914
View explanation
Q70.

If x^3 = 27, what is x?

Single Answer MCQ
Q-00132915
View explanation
Q71.

Which of the following has the last digit as 3 in their cube?

Single Answer MCQ
Q-00132916
View explanation
Q72.

What is the smallest perfect cube greater than 50?

Single Answer MCQ
Q-00132917
View explanation
Q73.

How many numbers lie between 2^3 and 3^3?

Single Answer MCQ
Q-00132918
View explanation
Q74.

Which one of the following is NOT a cube?

Single Answer MCQ
Q-00132919
View explanation
Q75.

Calculate the number of unit cubes in a cube with edge length 5.

Single Answer MCQ
Q-00132920
View explanation
Q76.

If a cube has a volume of 729 cm³, what is the length of an edge?

Single Answer MCQ
Q-00132921
View explanation
Q77.

Which is the largest one-digit cube number?

Single Answer MCQ
Q-00132922
View explanation
Q78.

What is the last digit of 9^3?

Single Answer MCQ
Q-00132923
View explanation
Q79.

Find the smallest positive integer that is both a square and a cube.

Single Answer MCQ
Q-00132924
View explanation
Q80.

How many perfect cubes are there between 1 and 1000?

Single Answer MCQ
Q-00132925
View explanation
Q81.

If the cube of a number is 1000, what is the number?

Single Answer MCQ
Q-00132926
View explanation
Q82.

A number n gives n³ = 512. What is n?

Single Answer MCQ
Q-00132927
View explanation
Q83.

What is the square of 5?

Single Answer MCQ
Q-00132928
View explanation
Q84.

Which of the following is a perfect square?

Single Answer MCQ
Q-00132929
View explanation
Q85.

What is the square root of 64?

Single Answer MCQ
Q-00132930
View explanation
Q86.

If a number is a perfect square, which of the following must be true?

Single Answer MCQ
Q-00132931
View explanation
Q87.

Which of the following integers has the cube of 27?

Single Answer MCQ
Q-00132932
View explanation
Q88.

Which of the following numbers is not a perfect cube?

Single Answer MCQ
Q-00132933
View explanation
Q89.

What is the cube root of 125?

Single Answer MCQ
Q-00132934
View explanation
Q90.

If 289 is a square number, what is its square root?

Single Answer MCQ
Q-00132935
View explanation
Q91.

How many perfect squares are between 1 and 100?

Single Answer MCQ
Q-00132936
View explanation
Q92.

Which of the following numbers is both a perfect square and a perfect cube?

Single Answer MCQ
Q-00132937
View explanation
Q93.

What is the largest perfect square less than 50?

Single Answer MCQ
Q-00132938
View explanation
Q94.

Is 126 a perfect square? Justify your answer.

Single Answer MCQ
Q-00132939
View explanation
Q95.

What is the cube root of the cube of 4?

Single Answer MCQ
Q-00132940
View explanation
Q96.

How many perfect cubes are between 1 and 1000?

Single Answer MCQ
Q-00132941
View explanation
Q97.

If n^2 = 144, what is n?

Single Answer MCQ
Q-00132942
View explanation
Q98.

If the square of a number is equal to the sum of two consecutive odd numbers, which number could it be?

Single Answer MCQ
Q-00132943
View explanation
Q99.

Which ancient civilization first compiled lists of perfect squares and cubes?

Single Answer MCQ
Q-00132958
View explanation
Q100.

The Sanskrit word for square, used in ancient texts, is known as what?

Single Answer MCQ
Q-00132959
View explanation
Q101.

What does the term 'Ghana' refer to in Sanskrit?

Single Answer MCQ
Q-00132960
View explanation
Q102.

In the context of square numbers, Aryabhata defined a square figure as what?

Single Answer MCQ
Q-00132961
View explanation
Q103.

What mathematical concept does 'mula' refer to in ancient Indian mathematics?

Single Answer MCQ
Q-00132962
View explanation
Q104.

Which operation is indicated by the term 'varga-mula' in ancient texts?

Single Answer MCQ
Q-00132963
View explanation
Q105.

What interesting property does the number 1729 have according to Ramanujan?

Single Answer MCQ
Q-00132964
View explanation
Q106.

Which term represents the concept of cube root in ancient Indian texts?

Single Answer MCQ
Q-00132965
View explanation
Q107.

What do prime factorization methods reveal about perfect squares?

Single Answer MCQ
Q-00132966
View explanation
Q108.

Why is the number 36 classified as a perfect square?

Single Answer MCQ
Q-00132967
View explanation
Q109.

Which of the following observations can be made about perfect cubes regarding their factors?

Single Answer MCQ
Q-00132968
View explanation
Q110.

Why can cubes end with two zeros?

Single Answer MCQ
Q-00132969
View explanation
Q111.

In estimating cube roots, what is a significant factor?

Single Answer MCQ
Q-00132970
View explanation
Q112.

How did Ramanujan's approach to numbers differentiate him?

Single Answer MCQ
Q-00132971
View explanation
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