CBSE Class 10 Mathematics Constructions MCQs

Practice MCQs for Class 10 Mathematics Chapter 12 Surface Areas and Volumes

Review structured MCQ sets for Class 10 Mathematics Chapter 12 Surface Areas and Volumes. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

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Question : In a figure, line segment of 8cm divides internally in the ratio 3 : 4. The correct figure is
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) (i) 
(b) (ii) 
(c) (iii) 
(d) Both (i) and (iii)
 
Answer : B
 
Question : To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that  BAX is an acute angle, then draw a ray BY parallel to AX and the points A1, A2, A3, ........ and B1, B2, B3 ..... are located at equal distances on ray AX and BY, respectively. Then the points joined are :
(a) A5 and B6 
(b) A6 and B5 
(c) A4 and B5 
(d) A5 and B4
 
Answer : A
 
Question : In a figure, the angle A'C'B is
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) 60° 
(b) 45° 
(c) 30° 
(d) 150
 
Answer : C
 
Question : A line segment AB of length 8.0 cm, A4C || A7B divides it in the ratio 4 : 3 internally
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) By Pythagoras theorem 
(b) By Mid -Point Theorem
(c) By Basic Proportionality Theorem 
(d) By Euclids Postulate
 
Answer : C
 
Question : To construct a triangle similar to a given ABC with its sides 8/5 of the corresponding sides of ABC, first draw a ray BX such that CBX is an acute angle and X lies on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is :
(a) 5 
(b) 8 
(c) 13 
(d) 3
 
Answer : B
 
Question : To construct a triangle similar to a given ABC, with its sides 3/7 of the corresponding sides of ABC, first draw a ray BX such that CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3 ..... on BX at equal distances and next step to join :
(a) B10 to C 
(b) B3 to C 
(c) B7 to C 
(d) B4 to C
 
Answer : C
 
Question : The angle between tangent at a point on a circle and the radius through the point is-
(a) 45° 
(b) 60° 
(c) 90° 
(d) 120°
 
Answer : C
 
Question : A tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm will be
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) 2.5 cm 
(b) 3.7 cm 
(c) 4.47 cm 
(d) 5.6 cm
 
Answer : C
 
Question : When a line segment of 6 cm is divided into 2 : 3 internally, the correct figure is
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) (i) 
(b) (ii) 
(c) (iii) 
(d) Both (ii) and (iii)
 
Answer : A
 
Question : In given figure, the correct option is
CBSE Class 10 Mathematics Constructions MCQs Set A
(a) △AB1C1 = (△ ABC) 
(b) △AB1C1 = 1/3 (△ ABC)
(c) △AB1C1 = 2/3 (△ ABC)
(d) △AB1C1 = 1/2△ABC
 
Answer : C
 

Question : To divide a line segment AB in the ratio 3 : 7, first a ray AX is drawn so that angle BAX is an acute angle and then at equal distances point are marked on the ray AX such that the minimum number of these point is
(a) 3
(b) 10
(c) 7
(d) 12

Question : To divide a line segment AB in the ratio 4 : 5, first a ray AX is drawn first such that angle BAX is an acute angle and then points A1, A2, A3, …. are located at equal distances on the ray AX and the point B is joined to
(a) A4
(b) A5
(c) A10
(d) A9

Question : To divide a line segment AB in the ratio 4 : 5, first a ray AX is drawn first such that angle BAX is an acute angle, then draw a ray BY parallel to AX and the points A1, A2, A3, …. And B1, B2, B3, … are located at equal distances on the ray AX and BY respectively, then the points joined are
(a) A5 and B6
(b) A6 and B5
(c) A4 and B5
(d) A5 and B4

Question : To construct a triangle similar to a given ΔABC with its sides 2 /5 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then, locate point A1, A2, A3,…. On BX at equal distance and next steps is to join
(a) A7 to C
(b) A2 to C
(c) A5 to C
(d) A4 to C

Question : To construct a triangle similar to a given ΔABC with its sides 2/ 5 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on rayBX is
(a) 3
(b) 5
(c) 8
(d) 2

Question : To construct a triangle similar to a given ΔABC with its sides 4/ 3 of the corresponding sides of ΔABC, first draw a ray BX such that angle CBX is an acute angle and X lies on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is
(a) 3
(b) 4
(c) 7
(d) none of these

Question : To draw a pair of tangents to a circle which are inclined to each other at an angle of 300, it is required to draw tangents at end points of those two radii of the circle, the angle between them, should be
(a) 1500
(b) 900
(c) 600
(d) 1200

Question : To draw a pair of tangents to a circle which are inclined to each other at an angle of 600, it is required to draw tangents at end points of those two radii of the circle, the angle between them, should be
(a) 1500
(b) 900
(c) 600
(d) 1200

Question : In a pair of set, squares, one if with angles are
(a) 300, 600, 900
(b) 300, 300, 450
(c) 750, 250, 800
(d) 650, 150, 1000

Question : In a pair of set, squares, the other is with angles
(a) 45°, 45°, 90° 
(b) 30°, 50°, 100° 
(c) 60°, 60°, 60° 
(d) none of these

Question : To construct a triangle we must know at least its ______ parts.
(a) two
(b) three
(c) one
(d) five
 
Question : For which of the following condition the construction of a triangle is not possible:
(a) If two sides and angle included between them is not given
(b) If two sides and angle included between them is not given
(c) If its three sides are given
(d) If two angles and side included between them is given
 
Question : Construction of a triangle is not possible if:
(a) AB + BC < AC
(b) AB + BC = AC
(c) both (a) and (b)
(d) AB + BC > AC
 
Question : With the help of ruler and compass it is not possible to construct an angle of
(a) 37.50
(b) 40.50
(c) 22.50
(d) 67.50
 
Question : The construction of a triangle ABC given that BC = 3 cm,
(a) 3.2 cm
(b) 3.1 cm
(c) 3 cm
(d) 2.8 cm
 
Question : The construction of a triangle ABC, given that BC = 6cm, < = 450 is not possible when the difference of AB and AC is equal to
(a) 6.9 cm
(b) 5.2 cm
(c) 5.0 cm
(d) 4.0 cm.
 
Question : Construction of a triangle is not possible if:
(a) AB – BC < AC
(b) AB – BC = AC
(c) both (a) and (b)
(d) AB – BC > AC
 
Question : To construct an angle of 15°, we
(a) bisect an angle of 60°
(b) bisect an angle of 30°
(c) bisect an angle of 45° 
(d) none of these
 
Question : To construct an angle of
CBSE Class 10 Mathematics Constructions MCQs Set A-
(a) bisect an angle of 60°
(b) bisect an angle of 30°
(c) bisect an angle of 45° 
(d) none of these
 
Question : To draw the perpendicular bisector of line segment AB, we open the compass
CBSE Class 10 Mathematics Constructions MCQs Set A

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