Squares and square roots - test paper class 8 ICSE (Mathematics Test 2023 - 24)

 Mathematics test paper of chapter squares and square root for the students of class 8 of ICSE board. These are such question which can be utilized by any student of any board for the assessment of the learning.

Squares and square roots ICSE Board (J K Online Classes)

Mathematics Test (2023 - 24)

Class 8 (ICSE Board)

Chapter: Squares and square root

Total marks: 43 Marks

Total Time: 1 Hr 15 Min

(A) Fill in the blanks: (1 marks each)

1. There are ___________ natural numbers between the squares of 9 and 10.
2. If √(4096) = 64, then √(4096) + √(40.96) = ________

3. 9² - 8² = ______ + 8

4. 19² - _______ = 19 + 18

5. √(4) + √(0.04) + √(0.0004) = ________

(B) Find the square root of each of the following by Prime Factorisation method: (2 marks each)

1. 39204

2. 46656

3. 95481

(C) Find the square root of the following using the long division method: ( 2 marks each)

1. 177241

2. 1.024144

(D) Find the square root of each of the following correct to two decimal places: (2 marks each)

1. 6.4

2. 45

(E) Find the square root of each of the following: (3 marks each)

1.√(1 + ²⁵/₁₄₄ )

2. √(9) / √(0.09) + √(16) / √(0.16) + √(25) / √(0.25)

(F) Find the square of each of the following: (2 marks each)

1. 107

2. √(38.83)

3.  98

(G) Word Problems: (4 marks each)

1. Find the least number by which 10,368 should be (i) increased, (ii) decreased, (iii) multiplied, (iv) divided to make it s perfect square.

2. An army officer wishes to arrange 4,770 soldiers in the form of a square. After arranging he finds that nine soldiers are left out. Find the number of soldiers in each row.

3. Find the greatest five digit number which is a perfect square. Also, find its square root.

4. Find the least number by which 23,328 should be (i) multiplied, (ii) divided and (iii) decreased to make it a perfect square.

5. In a hall, the number of rows is equal to the number of chairs in each row. If the capacity of the hall is 1,296, find the number of chairs in each row.

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