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The length of a rope is 2 m and its diameter is 1 mm. Ratio of length of the rope to its diameter is ___ .

Roushan bought $15$ lamps for $Rs.225,$ the cost of $9$ such lamps is

Question 92 (ix)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$\frac{2p^2}{25}-32q^2$

Question 41

Answer True/False.

0 is a solution of the equation $x+1=0$.

2/3 x [-6/7+4/5]=[ 2/3 x 4/5] x (-6/7)

The diameter of Earth is $1,27,56,000m$. Express the number in the standard form.

If f(x) = 2x² - 8. Find f(8).

The purchase price of a camera is Rs. 1760. What is the total price if a tax of 7% is levied?

Which of the following pairs are reciprocals of each other?

Question 44

When the speed is kept fixed, time and distance vary inversely with each other.

Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and $\angle \text{DAB}={45}^{\circ }$. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also draw the diagonals AC and BD ; and let they interest at point O. Join O and P. Measure OP.

Ram have 10 apples and 4 bananas. What is the ratio of bananas to apples?

Match the values with the corresponding laws of exponents.

In how many years will $Rs.7200$ to $Rs.7938$ at $10\%$ per annum when compounded half-yearly.

At which point does 4x + 5y = 10 cut the y axis?

The expression obtained by multiplying $(7x-4x^2+2x^3-5)$ with $(3x-2)$ is:

Question 7

The sides of a triangle are 35cm, 54cm, and 61cm respectively. The length of its longest altitude.

Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the surface area of the new cube.

Simplify the expression $\frac{a^2{m}^2-2am-2a^{3}m+(a^{2}m{)}^2}{(2-am)}$ and hence identify which of the following is not a factor of the simplified expression.

Complete the table of
products.

Question 1 (i)

What could be the possible ‘one’s’ digit of the square root of following number:

9801

Q44)Which of the following pairs cannot occupy the seats on either side of B?

A die with six faces is marked with six numbers $1,2,3,4,5$ and $6$ respectively. This die is rolled three times and three positions are shown as :







Find the number opposite to $3.$

A cube of edge ‘4k’ is divided into ‘n’ equal cubes. Find the edge of the new cube.

$\text{Range of the function f(x)}=\frac{x^2+x+2}{x^2+x+1};xϵRis$

What are the possible values digits A and B can take for

$\left(\begin{array}{cc}1A& \\ -B& \\ B& \end{array}\right)$ to hold true.

If the sum of measure of angles $\angle B,\angle A$ and $\angle E$ is ${90}^o,$ find the measure of each individual angle, i.e., $\angle B,\angle A$ and $\angle E.$

Question 4 (iv)

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

825

In the following, you are given the product pq and the sum p + q, Determine p and q:

(i) pq = 18 and p + q = 11; (ii) pq = 32 and p + q = − 12; (iii) pq = − 24 and p + q = 2; (iv) pq = − 12 and p + q = 11; (v) pq = − 6 and p + q = − 5; (vi) pq = − 44 and p + q = − 7.