Question 2 :
Which of the following is(are) binomial(s) with x and y as a variable?
Question 4 :
State true or false. In general, any expression containing one or more terms with non zero coefficients (and with variables having non-negative exponents) is called a polynomial.
Question 5 :
Identity (I) : $(a+b)^2 = a^2 + b^2 + 2ab$ Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ Put – b in place of b in Identity (I). Do you get Identity (II)?
Question 6 :
What will be the product of first monomial $-5y$ and second monomial $7x^2y$ ?
Question 7 :
Carry out the multiplication of the expression : $pq + qr + rp, 0$
Question 8 :
Is $(3x + 7)^2 – 84x = (3x – 7)^2$ ?
Question 10 :
The curved surface area of a cylinder is $2\pi(y^2−7y+12)$ and its radius is (y – 3). Find the height of the cylinder.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce6bf59b460d7261f01d.PNG' />
Refer to the above figure. What is the number of outcomes you can see on spinning this wheel ?
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8af59b460d7261ed96.JPG' />
In the above figure, a pie chart depicting the reason given by people who had injured their lower back is given. Find the number of people who injured their lower back if total 600 people were surveyed.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce5ef59b460d7261f00a.PNG' />
In the above figure, how many workers earn Rs 850 and more?
Question 14 :
Calculate the amount on Rs 8,000 for 1 year at 9% per annum compound half yearly.
Question 15 :
Calculate the compound interest on Rs 10,000 for 1 year at $8\%$ per annum compounded half yearly.
Question 16 :
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the amount he would be paying after $1\frac{1}{2}$ years if the interest is compounded annually.
Question 17 :
Vasudevan invested Rs 60,000 at an interest rate of $12\%$ per annum compounded half yearly. What amount would he get after 6 months?
Question 18 :
Vasudevan invested Rs 60,000 at an interest rate of $12\%$ per annum compounded half yearly. What amount would he get after 1 year?
Question 19 :
Two quantities are said to be in inverse proportion if an increase in one quantity causes a proportional ___________ in other.
Question 20 :
The number of workers and the time to complete a job is a case of direct proportion. True or false ?
Question 21 :
There are 20 grams of protein in 75 grams of sauted fish. How many grams of protein is in 225 gm of that fish?
Question 22 :
If a = – 1, b = 2, then find the value of $a^b\div b^{a}$
Question 23 :
State true or false: For any non-zero integer a, $a^{(-m)} = 1/a^m$
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd2f59b460d7261edf4.PNG' />
From the above figure, supply the missing information for diagram.
Question 28 :
State true or false: Very small numbers can be expressed in standard form using positive exponents.
Question 30 :
The solution of the equation ax + b = 0 is
Question 31 :
State whether the statement is TRUE or FALSE : If 6x = 18, then 18x = 54.
Question 33 :
If $5\ A\times A=399$ , then the value of A is
Question 34 :
If $\stackrel{\underline{\begin{matrix}P&Q\\\times&6\end{matrix}}}{\stackrel{\underline{\begin{matrix}Q&Q&Q\end{matrix}}}{}}$ , then find the value of P and Q.
Question 35 :
A road roller takes 750 complete revolutions to move once over to level a road. The area of the road if the diameter of a road roller is 84 cm and length is 1 m will be ?
Question 36 :
A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?
Question 38 :
A rectangular piece of paper 11 cm $\times$ 4 cm is folded without overlapping to make a cylinder of height 4 cm. What is the volume of this cylinder?
Question 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef6f59b460d7261f0e2.png' />
In the above image, diagram of the picture frame has outer dimensions = 24 cm $\times$ 28 cm and inner dimensions 16 cm $\times$ 20 cm. The area of each section of the frame, if the width of each section is same will be ?
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf74f59b460d7261f190.png' />
In the above number line, write the rational number labelled with a letter J.
Question 45 :
All squares are not parallelograms. Is it true or false ?
Question 46 :
A simple closed curve made up of only line segments is called a ______ .
Question 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03cf59b460d7261f2ac.png' />
In the above image, find the values of the unknowns x, y, z.
Question 48 :
If $a^2$ ends in 5, then $a^3$ ends in 25. Is it true or false ?
Question 49 :
The least number by which 72 be multiplied to make it a perfect cube is
Question 51 :
The cube root of 729 is 8. Is it true or false ?
Question 52 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd83f59b460d7261eee3.jpg' />
Which letter best represents the location of $\sqrt{25}$ on a number line?
Question 53 :
The positive square root of a number x is denoted by
Question 54 :
Find the least number that must be added to 1500 so as to get a perfect square.
Question 56 :
Evaluate the value of : $3p \times (4p^2 + 5p + 7)$
Question 61 :
Find the smallest number by which 128 must be divided to obtain a perfect cube.
Question 62 :
A perfect cube does not end with two zeros. Is it true or false ?
Question 68 :
State whether true or false. 417 + 174 + 741 is divisibe by 37.
Question 69 :
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Question 74 :
Find the square root of 8100 by the Prime Factorisation Method.
Question 75 :
By repeated subtraction of odd numbers starting from 1, find whether 36 is a perfect square or not? If it is, then find it's square root.
Question 76 :
Will the square of 1980 be an odd number or an even number?
Question 77 :
What is the least number which must be subtracted from 825 to get a perfect square?
Question 78 :
State true or false. A rhombus is a parallelogram in which adjacent sides are equal.
Question 79 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf22f59b460d7261f120.png' />
From the above figure, find the values of the unknowns $x$, $y$, $z$.
Question 82 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf1ef59b460d7261f11a.png' />
From the above given fig ,Find the measure of ∠P and ∠S if $\overline{SP}|| \overline{RQ}$ .
Question 84 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad278c526e972caf075.png' />
Can you name the diagonals in the above figure?
Question 85 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d02df59b460d7261f297.png' />
Classify the above image on the basis of following options.
Question 86 :
State true or false. In the division of a polynomial by a monomial, we carry out the division by dividing each term of the polynomial by the monomial.
Question 87 :
State true or false: $8mn^2$ and $5n^2m$ are like terms, which are like $4mn^2$
Question 88 :
Simplify: $(a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)$
Question 89 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $\left(4x,\ 3x^2\right)$
Question 93 :
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find the present age of the granddaughter.
Question 94 :
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new number becomes twice the other new number. What are the numbers?
Question 96 :
State true or false: $(5x + 8)^2 – 160x = (x – 8)^2$
Question 99 :
Using the Identity (III) : $(a+b)(a-b) = a^2 - b^2$ ,find $983^2 - 17^2$
Question 100 :
What is the result of the following divisions? $(2x^3 – 12x^2 + 16x) ÷ (x – 2) (x – 4)$
