CBSE Class 10 Mathematics Probability And Constructions Worksheet Set 01

Practice Worksheets for Class 10 Mathematics: Chapter 02 Polynomials

Access printable practice worksheets for Chapter 02 Polynomials designed to align with the 2026-27 academic syllabus for Class 10 Mathematics. These structured exercises help students evaluate their conceptual understanding and improve exam readiness.

Practice Chapter 02 Polynomials Worksheets for Class 10 Mathematics

Navigate directly to the printable exercises for Chapter 02 Polynomials using the digital viewer below. Each practice set allows students to isolate specific topics for thorough review and uninterrupted practice alongside standard textbooks.

PROBABILITY & CONSTRUCTIONS
 
1 1,000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Sunil has purchased one lottery ticket, what is the probability of winning a prize?
 
→ 0.005
 
2 Out of 17 boys and 13 girls of a class, one student is to be selected. Find the probability of selecting a girl.
 
→ 13/30
 
3 If a letter is chosen at random from the word TRIANGLE, what is the probability that it is a vowel?
 
→ 3/8
 
4 Two friends were born in the year 2000. What is the probability that they have the same birthday?
 
→ 1/366
 
5 From a group of two boys and three girls are selected at random. Find the probability: (i) Both selected children are girls.(ii) The selected group consists of one boy and one girl. (iii) At least one boy is selected.
 
→ 3/10
3/5
7/10
 
6 In a non-leap year, find the probability of getting 53 Tuesdays?
 
→ 1/7
 
7 One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that:
 
I. The card drawn is red
II. The drawn is red and queen
III. The card drawn is spade or a club
IV. The card drawn is jack, queen, king or an ace
V. The card drawn is ace of hearts
 
→ ½
1/26
½
4/13
1/52
 
8 A bag contains 5 red balls, 8 green balls and 7 white balls. One ball is drawn at random from the bag. Find the probability of getting:
 
(i) A white ball or a green ball. (ii) Neither a green ball nor a red ball
 
→ ¾
7/20
 
9 Two dice are thrown simultaneously. What is the probability (i) 5 will not come up on either of them? (ii) 5 will come up on at least one? (iii) 5 will come up on both dice?
 
→ 25/30
11/36
1/36
 
10 17 cards numbered 1,2 ,3,...,16,17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is: (i) Odd. (ii) Divisible by 3Divisible by 2 and 3 both
 
→ 9/17
5/17
2/17
 
Constructions
    
1 Draw a line AB=12 cm and divide it in the ratio = 3:5. Measure the 2 parts.
 
2 Construct a triangle similar to a given ABC such that each of its sides is 2/3rd of the corresponding side of the ABC. It is given that AB=4cm, BC=5cm and AC=6cm, also write the steps of construction.
 
3 Draw any triangle ABC. Construct another triangle A’B’C’ similar to the triangle ABC with each side equal to 4/5th the corresponding side of the triangle ABC. Write the steps of construction.
 
4 Construct a triangle ABC in which BC=6.5cm, AB=4.5cm and ABC=60 degree. Construct a triangle similar to this triangle whose sides are 3/4th of the corresponding sides of the triangle ABC.
 
5 Construct a triangle in which CA=6cm angle BAC=45 0, then construct a triangle similar to the given triangle whose sides are 6/5 times of the corresponding sides of the triangle ABC.
 
6 Draw a right triangle ABC, in which angle B=90, AB=4cm, BC=5cm. Then construct another triangle A’B C’ whose sides are 5/3 times the corresponding sides of triangle ABC.
 
7 Construct a triangle PQS such that PQ=4.5cm PS=4cm and SQ=5.4cm. Construct another triangle P’Q’S’ similar to the triangle PQS with side S’Q=7.2cm.
 
8 Draw a circle of radius 3 cm. From a point 5cm away from the centre of the circle, draw 2 tangents to the circle. Find the length of the tangents.
 
9 Draw a line segment AB of length 7cm. Taking A as centre, Draw a circle of radius 3cm and taking B as centre, Draw another circle of radius 2.5cm. construct tangents to each circle from the centre of other circle.
 

 

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Chapter 02 Polynomials Practice Sheet and Solutions for Class 10 Mathematics

Download Practice Sheet: Chapter 02 Polynomials (Class 10 Mathematics)

Review targeted practice exercises for Class 10 Mathematics Chapter 02 Polynomials. Curated to match official CBSE guidelines, these downloadable PDF sheets support daily revision and core concept reinforcement.

Concept Clarification for Chapter 02 Polynomials

Each worksheet is structured around standard CBSE textbooks, allowing students to check their working steps and correct mistakes early in their revision.

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Are these Mathematics Class 10 worksheets based on the 2026-27 competency-based pattern?

Yes, our CBSE Class 10 Mathematics Probability And Constructions Worksheet Set 01 includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.

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Yes, we have provided detailed solutions for CBSE Class 10 Mathematics Probability And Constructions Worksheet Set 01 to help Class 10 and follow the official CBSE marking scheme.

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Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.

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