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A flooring tile has the shape of a rectangle whose dimensions are 10cm × 6cm. How many such tiles are required to cover a floor of area 30 × 50 cm²? (If required you can split the tiles in whatever way you want to fill up the corners).

If the sum of the interior angles of a convex polygon is (4 180^o). What kind of polygon is it?

Find the number whose square root is twice of its cubic root.

What is an axis?

What is the least number of planes that can / enclose a solid? What is the name of the solid.

(999)³

How many pairs of integers are there, satisfying the equation $x^2+y^2=25?$

A picnic spot is 55 km away from a school. The first stop is at 22 km from the school. What percentage of the distance is remaining to reach the destination?

A rectangle with length and breadth equal to 9 m and 4 m respectively has to be converted into a square having the same area. What will be the side of the square? (Give answer to two decimal places).

While finding the HCF, if you multiply and divide the polynomials with any number during the process___

An __ bisectors equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.

In the given figure, $O$ is the center of the circle. $OD=4\text{units}$ and $DC=10\text{units}.$ $OD$ bisects the cord $AB.$ If area of $△AOD$ is $10{\text{unit}}^2$, find the area of the quadrilateral $AOBC.$

Question 132

Solve the following question:

The area of a square plot is $101\frac{1}{400}{m}^2$. Find the length of one side of the plot.

Question 2(c):

Draw a rough sketch of a quadrilateral KLMN.

State: Two pairs of adjacent sides.

The cost of a car depreciates at the rate of $20\%$ every year. If its present worth is ₹315600, find the purchase value of the car, if it was purchased two years back.

Taking the set of natural numbers as the universal set, write down the complement of the following sets :

(i) {x : x is an even natural number}

(ii) {x : x is an odd natural number}

(iii) {x : x is a positive multiple of 3}

(iv) {x : x is a prime number}

(v) {x : x is a natural number divisible by 3 and 5}

(vi) {x : x is a perfect square}

(vii) {x : x is a perfect cube}

(viii) {x : x + 5 = 8}

(ix) {x : 2x + 5 = 9}

(x) {x : x $\ge$ 7}

(xi) {x : x $\in$ N and 2x + 1 > 10}

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them, of the other triangle. This condition is called

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

Solve the following equation :

20 = 6 + 2x

If the area of the rectangle is $9x^2-12x-32$, then the perimeter of the rectangle is .

Choose the correct option:

If a person moves either 1 unit in the direction of positive x-axis or 1 unit in the direction of positive y-axis per step, then the number of steps he requires to reach (10, 12) starting from the origin (0, 0) is ____________.

A. 10

B. 12

C. 22

D. 120

Find the greatest common factors (GCF / HCF) of the following polynomials :

$a^2{b}^3,a^3{b}^2$

$\sqrt{\sqrt{81}}$ =

Simplify ${\left(256\right)}^{\frac{-1}{2}}$.

A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

Question 92 (xxi)

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

$p^5-16p$

Find the largest perfect square factor of each of the following numbers:

(i) 48; (ii) 11280; (iii) 729; (iv) 1352.

If one angle of a parallelogram is ${24}^{\circ }$ less than twice the smallest angle then the largest angle of the parallelogram is

(a) ${68}^{\circ }$ (b) ${102}^{\circ }$

(c) ${112}^{\circ }$ (d) ${176}^{\circ }$

Question 5 (i)
Rationalize the denominator of $\frac{1}{\sqrt{7}}$ .

A polyhedron with 20 faces and 30 edges has ___ vertices.

In the given figure, if the bisectors of exterior angle $\angle BCE$ and $\angle CBD$ at I, then $\angle BIC=$___

Find $x$ in the following figure:

Question 174

A box contains 50 packets of biscuits each weighing 120g. How many can such boxes be loaded into a van, which cannot carry beyond 900 kg?

1. 11