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10 questions from across CBSE Class 10 Maths, with solutions. The other 1,399 open when you sign in, free for 7 days.

Q1General· Basics

What is the length of the arc of a sector of a circle with radius

14 cm

and of central angle

9 0^{\circ}

Q2General· Exam-style

How many terms of the arithmetic progression

45, 39, 33, \dots

must be taken so that their sum is

180

? Explain the double answer.

Q3General· Basics

In the given figure, the quadrilateral

P QR S

circumscribes a circle.
Here

P A + C S

is equal to: $Question figure$

Q4Exercise 11.1· Basics

Write True or False and give reasons for your answer.

By geometrical construction, it is possible to divide a line segment in the ratio $2 + 3 : 2 - 3$
By geometrical construction, it is possible to divide a line segment in the ratio $3 : \frac{1}{3}$

Q5General· Basics

The coordinates of the vertex

A

of a rectangle

A B C D

whose three vertices are given as

B (0, 0)

C (3, 0)

and

D (0, 4)

are:

Q6General· Basics

The length of the shadow of a tower on the plane ground is

3

times the height of the tower. Find the angle of elevation of the sun.

Q7General· Basics

The hour-hand of a clock is

6 cm

long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is:

Q8General· Basics

If the pair of equations

3 x - y + 8 = 0

and

6 x - r y + 16 = 0

represent coincident lines, then the value of

r

is:

Q9General· Basics

If one zero of the polynomial

6 x^{2} + 37 x - (k - 2)

is the reciprocal of the other, then what is the value of

k

Q10General· Basics

Which of the following quadratic equations has sum of its roots equal to 4?