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English > Maths > All > Official Sample Paper Standard Cbse 2022

Question

Level

Action

Let $$a$$ and $$b$$ be two positive integers such that $$a=p^3 q^4$$ and $$b=p^2 q^3$$, where $$p$$ ......

Level 1

Let $$p$$ be a prime number. The quadratic equation having its roots as factors of $$p$$ is
......

Level 1

If $$\alpha$$ and $$\beta$$ are the zeros of a polynomial $$f(x)=p x^2-2 x+3 p$$ and $$\alpha+\beta=......

Level 1

If the system of equations $$3 {x}+{y}=1$$ and $$(2 {k}-1) {x}+({k}-1) {y}=2 {k}+1$$ is inconsistent......

Level 1

If the vertices of a parallelogram $$P Q R S$$ taken in order are $${P}(3,4), {Q}(-2,3)$$ and $${R}(......

Level 1

In $$\triangle {ABC}\backsim \triangle {PQR}$$. If $${AM}$$ and $${PN}$$ are altitudes of $$\triangl......

Level 1

If $$x \tan 60^{\circ} \cos 60^{\circ}=\sin 60^{\circ} \cot 60^{\circ}$$, then $$x=$$
......

Level 1

If $$\sin \theta+\cos \theta=\sqrt{2}$$, then $$\tan \theta+\cot \theta=$$
......

Level 1

In the given figure, $${DE} \|| {BC}, {AE}=$$ a units, $${EC}={b}$$ units, $${DE}={x}$$ units and $$......

Level 1

Here $${ABCD}$$ is a trapezium with $${AD} || {BC}$$ and $${AD}=4 {~cm}$$. If the diagonals $${AC}$$......

Level 1

If two tangents inclined at an angle of $$60^{\circ}$$ are drawn to a circle of radius $$3 {~cm}$$, ......

Level 1

The area of the circle that can be inscribed in a square of $$6 {~cm}$$ is
......

Level 1

The sum of the length, breadth and height of a cuboid is $$6 \sqrt{3} {~cm}$$ and the length of its ......

Level 1

If the difference of Mode and Median of a data is 24 , then the difference of median and mean is
......

Level 1

The number of revolutions made by a circular wheel of radius $$0.25 {~m}$$ in rolling a distance of ......

Level 1

For the following distribution,
![](http://admin.getprephub.com/media/editor/sq16_202209291915194401......

Level 1

Two dice are rolled simultaneously. What is the probability that 6 will come up at least once?
......

Level 1

If $$5 \tan \beta=4$$, then $$\frac{5 \sin \beta-2 \cos \beta}{5 \sin \beta+2 \cos \beta}=$$
......

Level 1

Statement $$A$$ (Assertion): If product of two numbers is $$5780$$ and their $${HCF}$$ is $$17$$ , t......

Level 1

Statement $$A$$ (Assertion): If the co-ordinates of the mid-points of the sides $${AB}$$ and $${AC}$......

Level 1