Test Details

Algebraic Expressions, Identities and Factorisation,Square-Square Root and Cube-Cube Root

Jan 18, 7:00 PM

75 minutes

Jan 18, 8:27 PM

80.0 marks

MCQ

40 questions

RK SIR

मैं पिछले 5 सालों से गणित और साइंस छात्र छात्राओं को पढ़ा रहा हूं मेरे पढ़ाने से काफी छात्र अच्छे मार्क्स से पास होते जा रहे हैं अतः आप मेरे क्लास को ज्वाइन करें

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Math.Science

RK EDUCATION UP

Math.Science

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Question Text

Question 1 :
What is the least number that should be subtracted from 1385 to get a perfect square?

Question 2 :
Using prime factorisation, find which of the following is perfect squares.

Question 3 :
Find the area of a square field if its perimeter is 96 m.

Question 4 :
A number having 7 at its ones place will have 3 at the ones place of its cube. Is it true or false ?

Question 5 :
How many square metres of carpet will be required for a square room of side 6.5m to be carpeted?

Question 6 :
The positive square root of a number x is denoted by

Question 8 :
Number obtained when a number is multiplied by itself three times is called

Question 9 :
What would be a pythagorean triplet whose smallest number is 6?

Question 10 :
Using prime factorisation, find which of the following is perfect cube.

Question 11 :
State true or false: Squares and cubes of odd numbers are odd.

Question 13 :
Find the number of digits will square root of 24025 have?

Question 14 :
Which of the following is the square of an odd number?

Question 16 :
Find the greatest number of three digits that is a perfect square.

Question 19 :
The sides of a right triangle whose hypotenuse is 17 cm are

Question 20 :
Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m.

Question 21 :
Find the product of : $(a^2 ) × (2a^{22}) × (4a^{26})$

Question 23 :
Use the identities to find the product of $(2a^2 + 9) (2a^2 + 5)$

Question 24 :
Dividing 15 (y + 3) ($y^2$ – 16) by 5 ($y^2$ – y – 12) .

Question 25 :
State true or false. Multiplication of two algebraic expressions is again an algebraic expression.

Question 26 :
In general, any expression containing one or more terms with non-zero coefficients (and with variables having non- negative integers as exponents) is called a polynomial.Is it TRUE or FALSE?

Question 30 :
Obtain the volume of rectangular box with the following length, breadth and height respectively: $2p, 4q, 8r$

Question 34 :
Using the Identity (III) : $(a+b)(a-b) = a^2 - b^2$ ,find $983^2 - 17^2$

Question 35 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf064.PNG' /> In the above figure, the length and breadth of the rectangle has been changed from $l$ and $b$ to $l+5$ and $b-3$ respectively. What is the expression for the area of the new rectangle ?

Question 36 :
Subtract $b (b^2 + b – 7)$ + 5 from $3b^2 – 8$ and find the value of expression obtained for b = – 3.

Question 37 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc1cf59b460d7261ed0c.png' /> From the above image, find the value of x from the given square if area of the square is 625 square units.

Question 39 :
What will be the product of first monomial $7x^2y$ and second monomial $7x^2y$ ?

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