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The area of the base of the prism is 2 $c{m}^2$. Calculate the height of the prism if its volume = 50 $c{m}^3$ ?

$\text{The surface area of a cuboid is 758}c{m}^2.\text{Its length and breadth are 14 cm and 11 cm respectively. Find its height.}$

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the avearge marks of the girls?

On what sum of money will the compound interest for 2 years at 5 per cent per annum amount to Rs. 768.75 ?

On simplification of $3\{x-2(y-\overline{x-2y}\left)\right\}$, we get,

$\text{If}{x}^{140}+2x^{151}+k\text{is divisible by}x+1,\text{then the value of ‘k’ is:}$

The rational number between $\frac{1}{4}$ and $\frac{1}{3}$ is .

Question 1 (ii)

Classify $(3+\sqrt{23})-\sqrt{23}$ as rational or irrational.

If $A=\left[\begin{array}{ccc}2& 1& -1\\ 4& x& 6\\ 0& 1& 3\end{array}\right]$ is a singular matrix, then the value of $x$ is



[1 mark]

The volume of water in a cuboidal container of dimensions 50 cm, 20 cm and 30 cm will be

Question 8

If cot A = $\frac{4}{3}$, check whether $\frac{(1-ta{n}^{2}A)}{(1+ta{n}^{2}A)}=co{s}^{2}A-si{n}^{2}A$ or not.

$\text{The capacity of cugoidal tank is 50000 litres of water.Find the breadth of tank if its length and depth are respectively 10 m and 2.5 m.}(Given,1000litres=1m^3.)$

Which of the following points lie on the y-axis?

Write 2x=3 as an equation in two variables

Distance between $\sqrt{2}$ & -$\sqrt{2}$ on the number line approximately is _____________.

The value of 2.$\overline{45}$ + 0.$\overline{36}$ is

(a)$\frac{67}{33}$

(b)$\frac{24}{11}$

(c)$\frac{31}{11}$

(d)$\frac{167}{110}$

The Decimal point shifted 5 places to the left and then 2 places to the right. What is the number now if the original number was 456789.102

The solution of the pair of linear equations x + 2y = 5, 7x + 3y = 13 is ________.

The decimal expansion of pi is:

Find the factors of the polynomial $(x^3+12x^2+48x+64)$
using synthetic division.

If a straight line y = 2x + k passes through the point (1, 2), then the value of k is equal to _____ .

Match the following with the values of 'x'.

रोटी बनाने के लिए कितना कुछ काम करना पड़ता है जैसे सानना, बेलना आदि। पता करो और लिखो कि इन्हें बनाने के लिए क्या करना पड़ता है –

(क) चाय बनाने के लिए।

(ख) सब्ज़ी बनाने के लिए।

(ग) दाल बनाने के लिए।

(घ) हलवा बनाने के लिए।

(ङ) लस्सी बनाने के लिए।

Which of the following figures,you find polygons on the same base and between the same parallels?

If the radius of the incircle of a triangle with its sides $5k,6k$ and $5k$ is $6$, then $k$ is equal to:

The measure of an angle which is its own complement is
(a) ${30}^{\circ }$
(b) ${60}^{\circ }$
(c) ${90}^{\circ }$
(d) ${45}^{\circ }$

The marks obtained in physics by 10 students is:-

23, 19, 22, 25, 23, 17, 21, 23, 20, 14

What is the mode of the given data?

The sides of a triangular plot are in the ratio of 16: 8 : 10 and its perimeter is 340 m. Find its area in $m^2$ [4 MARKS]

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Lines PQ and RS intersect at O. If$\angle POR:\angle ROQ=5:7$. Then $\angle POS$ =

Which of the following congruencies could be the test for the construction of triangles where there is base length given, one of the base angles is given and the difference between the other two sides of the triangle are given?