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Class 10 Math Full Chapter Test | Chapter 10 Punjab Board 2027 Model Papers

10th class Math chapter 10 Full unit Test

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Chapter 10: Practical Geometry of Circle – Class 10 Mathematics Full Chapter Test is designed according to the latest Punjab Board 2027 Model Papers and examination pattern. This Class 10 Mathematics Chapter 10 Test covers important concepts of practical geometry of a circle, including chords, arcs, tangents, perpendicular bisectors, radius, diameter, construction of tangents and properties of circles. Students preparing for Punjab Boards Class 10 Mathematics 2027 can use this full chapter test for exam preparation, revision, self-assessment and board-style practice. The paper includes objective MCQs and subjective questions to help students strengthen their understanding of Chapter 10 and prepare effectively for the Class 10 Mathematics Annual Examination 2027.

Unit 10:

Total Time: 35 min
CHAPTER WISE CLASS TEST
(Test # 3)
Mathematics

Total Marks: 25
1 A B C D 4 A B C D 7 A B C D
2 A B C D 5 A B C D 8 A B C D
3 A B C D 6 A B C D
NOTE: Four possible answers A, B, C and D to each question are given. The choice which you think is correct, fill that circle in front of that question with Marker or Pen ink. Cutting or filling two or more circles will result in zero mark in that question.
TIME: 10 Min
OBJECTIVE
MARKS: 8
Q.1: (8)
1. A circle has only one:
(A) chord (B) centre (C) diameter (D) secant
2. The point where two tangents meet outside a circle forms:
(A) a semicircle (B) a diameter (C) a radius (D) an angle
3. Tangents drawn from a single external point to a circle are:
(A) Unequal in length (B) perpendicular to each other (C) equal in length (D) inside the circle
4. The angle between the radius and a tangent at the point of contact is:
(A) 30° (B) 60° (C) 90° (D) 120°
A B C D P Q R S O
Fig (A)
5. In figure (A), PQ is the right bisector of:
(A) AB (B) CD (C) RS (D) BC
6. In figure (C), chords of arc PQR are:
(A) PQ, PR (B) PD, OR (C) GF (D) DE
P Q R O D G F E
Figure (C)
7. In fig (B), AB is ______ on DP:
(A) = (B) > (C) ⟂ (D) <
1.4cm D P A B
Figure (B)
8. In fig (C), RTQ is a tangent at the end point of:
(A) circle (B) diameter (C) arc (D) AL
M P L A T R Q
Figure (C)
TIME: 25 Min
SUBJECTIVE
MARKS: 17
(PART – I)
Q.2. Write short answers to following questions. (6×2=12)
(i) What is the significance of the point where the two right bisectors of the chords of a circle meet?
(ii) What constraint is placed on the length of chords to complete a circle without finding its centre?
(iii) What are the two ways to complete a circle, when a part of its circumference is given?
(iv) What is the first step of construction a tangent of an arc when P is the middle point of arc?
P A Q R V
(v) In the given figure, once the angles are equalized, what line segment defines the required tangent?
P A Q R
(vi) What is the first step to draw a tangent to a given circle from a point P when P is on the circumference?
(PART – II)
Note: Attempt the following question.
Q.3. Draw tangent to ABC from a point P, when P is outside the arc. (5)

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