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Compute the value of ${20}^2+{30}^2$

Construct, if possible, a quadrilateral ABCD given AB = 6 cm, BC = 3.7 cm, CD = 5.7 cm, AD = 5.5 cm and BD = 6.1 cm. Give reasons for not being able to construct it, if you cannot.

Refer to the following figure:

D and C are equidistant from O.

If any point P is is located such that $△ODP$ is congurent to $△OCP$, then P lies on the ________.

Parallelogram with one side 7 centimetres; diagonals 10 centimetres and 8 centimetres.

Factorise by taking common:

4a²-8abc

Does the answer stop at 4a(a-2bc)? Has it been factorised?

What is the minimum value of x which satisfies the inequation ${\left(3\right)}^2<{(-3)}^x$ ?

Question 68(ii)

Find the SP, if

MP = Rs. 1300 and discount = 1.5%

If $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100,$ then $n(A^{\prime }\cap B^{\prime })=$ ___.

Find the area of the following field. All dimensions are in metres.

$\text{Given below is the result of an annual examination of a class, showing the percentage of students in each category.}$

$\begin{array}{cccc}\text{First division}& \text{Second division}& \text{Third division}& \text{Failed}\\ 25\%& 45\%& 20\%& 10\%\end{array}$

$\text{Represent the above data by a pie chart.}$

Find $x$, if $4^{2x}=\frac{1}{32}$.

1. 62

Match the values with the corresponding laws of exponents.

If $(x-\frac{1}{x})=6$, then $(x^2+\frac{1}{x^2})=?$

(a) $36$
(b) $38$
(c) $32$
(d) $36\frac{1}{36}$

Let $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100$, then $n(A^c\cap B^c)$ equals to

Question 2(iv)

Find the product:

$(p^2-q^2)(2p+q)$

1. 16.25

A cylindrical bell of radius r and height h has a density $\rho$. The mass of the bell is:

Find the area of a trapezium with the parallel sides 24 centimetres and 18 centimetres long and the distance between them, 16 centimetres.

The geometrical representation of a linear equation is a

Consider the figure: This is a regular die opened up.

Find two numbers whose product is a 1 digit number and the sum is a two digit number

On the number line given below, which rational number is indicated by the point E?

On dividing $x^4-2x^2-9x-9$ by a polynomial g(x), the quotient is $(x^2-x-4)\text{and the remainder is (3-2x).}\text{Find g(x)}$

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Find the missing term in the table for $y=-3x$.

Find the names of some polyhedral crystals.

The area (in $\text{sq.units}$) enclosed by the curve $|x^2+y^2+8y|<9$ is equal to