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Match the two columns:

$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) The radius of a circle is 8 cm and}& \text{(p) 23 cm}\\ \text{the length of one of its chords is 12 cm.}& \\ \text{the distance of the chord form the centre is}& \\ \text{(B) Two parallel chords of length 30 cm}& \text{(q) 5.196 cm}\\ \text{And 16 cm. are drawn on the opposite sides}& \\ \text{of the centre}\text{of a circle of radius 17 cm.}& \\ \text{The distance between the chords}& \\ \text{(C) The length of a chords which is at a distance of}& \text{(r) 5.291 cm}\\ \text{4 cm from the centre of the circle of radius 6 cm is}& \\ \text{(D) An equilateral triangle of side 9 cm is inscribed}& \text{(s) 8.94 cm}\\ \text{In a circle. The radius of the circle is}& \\ \text{Choose the correct option:}& \end{array}$

Can
you match the following?

(a)
Something that lives for one year-biennial

(b)
Something that lives for about two years-perennial

(c)
Something that lives for more than two years-annual

If you have two lawns - one in front of your house and the other at the back, in the shape of a rectangle, find the perimeter if its lengths and breadth s are given as follows:
i. l = 10 cm, b = 8 cm
ii. l = 18 cm, b = 12 cm

Find the area of the hexagon given below:

In Fig. ABCD is a trapezium in which AB||DC. E is the mid-point of AD. A line l through E is parallel to AB show that l bisects the side BC.[3 MARKS]

If radius of the base of a right circular cone is increased by 15% keeping the height same, the volume of the cone will increase by

In the given figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that $\angle COD={105}^{\circ }$ and $\angle OXC=x^{\circ }$.







What is the measure of $x$?

Draw a triangle with sides 4 centimetres, 5 centimetres and 6 centimetres and draw its circum-circle.

An equilateral triangle ABC of side 4 cm is inscribed in a circle which is centered at O, as shown below. Then the radius of this circle is

Statements:

All Ds are As.

All As are Cs.

Conclusions:

I. All Ds are Cs.

II. Some Ds are As.

The scientific notation of 1650000 is given by .

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have?

$\Delta$ ABC is an isosceles triangle with AB = AC. Side BA is produced to D such that AB = AD. Prove that $\angle$BCD is right angle. [4 MARKS]

The value of $\sin$ 60${}^{\circ }$ is

Which of the following is a cubic polynomial?

Match the following decimal forms to their correct $\frac{p}{q}$ form.

A two digit number is such that the sum of itself and the number obtained when its digits are reversed is 55. Using the given data, write the simplest equation possible in two variables.

In the given figure, AB is a chord of a circle with centre O and AB is produced to C such that BC = OB. Also, CO is joined and produced to meet the circle in D. If $\angle ACD={25}^{\circ }$ then $\angle AOD$ = ?

(a) ${50}^{\circ }$

(b) ${75}^{\circ }$

(c) ${90}^{\circ }$

(d) ${100}^{\circ }$

Lines PQ and RS are parallel. It is given that $\angle RSP={52}^{\circ }$, then find $\angle SPQ$.

$\text{It is given that}\Delta ABC\cong \Delta FDE\text{in which AB = 5 cm,}\angle B={40}^{\circ },\angle A={80}^{\circ }\text{and FD = 5 cm. Then, which of the following is true?}\left(a\right)\angle D={60}^{\circ }\left(b\right)\angle E={60}^{\circ }\left(c\right)\angle F={60}^{\circ }\left(d\right)\angle D={80}^{\circ }$