Read and download free pdf of CBSE Class 10 Mathematics Probability Worksheet Set G. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 15 Probability in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests
Worksheet for Class 10 Mathematics Chapter 15 Probability
Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 15 Probability in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks
Class 10 Mathematics Worksheet for Chapter 15 Probability
Probability
More Question-
CONSTRUCTIONS
Key Points
1. Division of a line segment in the given ratio.
2. Construction of triangles:-
a. When three sides are given.
b. When two sides and included angle given.
c. When two angles and one side given.
d. Construction of a right angled triangle.
3. Construction of triangle similar to a given triangle as per given scale factor.
4. Construction of tangents to a circle.
EXPECTED LEARNING OUTCOMES
1. Correct use of Mathematical instruments.
2. Drawing a line segment and an angle as per the given data.
3. To divide the given line segment in the given ratio accurately.
4. Neatness and accuracy in drawing.
5. The concept of similar triangles.
6. To Construct a triangle as per the conditions given.
7. To construct similar triangle to a given triangle as per the given ratio.
8. To know that when the ratio is a proper fraction then the similar triangle lies inside the given
Triangle and when improper then the similar triangle lies outside the given triangle.
9. To construct tangents to a circle from an external point given.
CONCEPT MAP
CONSTRUCTIONS
DIVISION OF A LINE SEGMENT
CONSTRUCTION OF A TANGENT TO A CIRCLE
CONSTRUCT SIMILAR TRIANGLES AS PER GIVEN RATIO
KNOWLEDGE OF BASIC PROPORTIONALITY THEOREM
When given ratio is proper fraction the similar triangle lies inside the given triangle
Two triangles are similar if their corresponding sides are proportion
LEVEL – I
1. Draw a line segment AB=8cm and divide it in the ratio 4:3.
2. Divide a line segment of 7cm internally in the ratio 2:3.
3. Draw a circle of radius 4 cm. Take a point P on it. Draw tangent to the given circle at P.
4. Construct an isosceles triangle whose base is 7.5 cm and altitude is 4.2 cm.
5. Draw a line segment of length 9 cm. and divide it in seven equal parts.
LEVEL –II
1. Construct a triangle of sides 4cm, 5cm and 6cm and then a triangle similar to it whose sides are 2/3 of the corresponding sides of the first triangle. (CBSE 2013)
2. Construct a triangle similar to a given ΔABC such that each of its sides is 2/3rd of the corresponding sides of ΔABC. It is given that AB=5cm BC=6cm and AC=7cm. Also write the steps of construction.
3. Draw a pair of tangents to a circle of radius 4cm, which are inclined to each other at an angle of 600. (CBSE 2013)
4. Draw a circle of radius 5cm. From a point 8cm away from its centre construct the pair of tangents to the circle and measure their lengths.
5. Construct a triangle PQR in which QR=6cm, Q=600 and R=450. Construct another triangle similar to ΔPQR such that its sides are 5/6 of the corresponding sides of ΔPQR.
6. Draw a line segment AB= 7.5cm and locate a point P on AB such that AP= 3/7 AB. Give justification of the construction.
LEVEL-III
1. Draw a circle with centre O and radius 3.5cm. Take a horizontal diameter. Extend it to both sides to point P and Q such that OP=OQ=7cm. Draw tangents PA and QB, one above the diameter and the other below the diameter. Is PA||BQ.
2. Construct a Δ ABC in which AB = 6 cm, ∠A = 30° and ∠B = 60°. Construct another ΔAB’C’ similar to ΔABC with base AB’ = 8 cm. (CBSE 2015)
3. Draw a right triangle ABC in which B=900, AB=5cm, BC=4cm, then construct another triangle A’BC’ whose sides are 5/3 times the corresponding sides of ΔABC. Is the new triangle also a right triangle?
4. Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
5. Draw a line segment AB of length 7 cm. Using ruler and compasses, find a point P on AB such that AP/AB = 3/5. (CBSE 2011)
6. Construct an isosceles triangle whose base is 8 cm. and altitude 4 cm. and then construct another triangle whose sides are ¾ times the corresponding sides of the isosceles triangle. (CBSE 2011)
7. ABC is a right triangle in which AB=5.4 cm, BC= 7 cm and <B = 900.Draw BD perpendicular on AC and a circle through B, C, D. Construct a pair of tangents from A to this circle.
8. Construct a triangle ABC in which AB=5cm,<B=600and altitude CD=3 cm. Construct a triangle PQR similar to ΔABC such that each side of ΔPQR is 1.5 times that of the corresponding sides of ΔABC.
9. Construct a tangent to a circle of radius 3.5 from a point on the concentric circle of radius 6.5 cm and measure its length. Also, verify the measurement by actual calculation.
Self-Evaluation
1.Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.
2. Draw an isosceles triangle ABC in which AB=AC=6 cm and BC=5 cm. Construct a triangle PQR similar to ΔABC in which PQ=8 cm. Also justify the construction.
3.Two line segments AB and AC include an angle of 600where AB=5 cm and AC=7 CM. Locate points P and Q on AB and AC respectively such that AP=3/4 AB and AQ=1/4 AC. Join P and Q and measure the length PQ.
4. Draw a triangle ABC in which AB=4 cm, BC=6 cm and AC=9 cm. Construct a triangle similar to ΔABC with scale factor 3/2. Justify your construction.
5.Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 450.
6.Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre another circle of radius 2.5 cm. Construct tangents to each circle from the centre of the other circle.
Value Based Question
(1) Two trees are to be planted at two positions A and B in the middle of a park and the third tree is to be planted at a position C in such a way that AC: BC= 3:4. How it can be done? What value is indicated from the above action?
(2) Draw a circle of radius 5 cm. Draw tangents from the end points of its diameter. What do you observe?
Please click the link below to download CBSE Class 10 Mathematics Probability Worksheet Set G
CBSE Class 10 Mathematics Surface Area And Volume Worksheet |
Worksheet for CBSE Mathematics Class 10 Chapter 15 Probability
We hope students liked the above worksheet for Chapter 15 Probability designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.
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