# Free CBSE Class X Maths Constructions Worksheets

Download free printable Constructions Worksheets to practice. With thousands of questions available, you can generate as many Constructions Worksheets as you want.

## Sample CBSE Class X Maths Constructions Worksheet Questions

1.

By geometrical construction, it is possible to divide a line segment in the ratio $\fn_cm&space;\sqrt{2}&space;:&space;1/\sqrt{3}$

1.

TRUE

2.

FALSE

2.

A pair of tangents can be constructed to a circle inclined at an angle of $\fn_cm&space;150^{\circ}$

1.

TRUE

2.

FALSE

3.

By geometrical construction, it is possible to divide a line segment in the ratio $\fn_cm&space;\sqrt{2}&space;:&space;1/\sqrt{2}$

1.

TRUE

2.

FALSE

4.

To divide a line segment PQ in the ratio a : b (a, b are positive integers), draw a ray PX so that $\fn_cm&space;\angle&space;QPX$ is an acute angle and then mark points on ray PX at equal distances such that the minimum number of these points is_____.

1.

a

2.

a - b

3.

5.

To construct a triangle similar to a given $\fn_cm&space;\triangle&space;ABC$ with its sides 3/7 of the corresponding sides of $\fn_cm&space;\triangle&space;ABC$, first draw a ray BX such that $\fn_cm&space;\angle&space;CBX$ 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 is to join______.

1.

B10 to C

2.

B7 to C

3.

B3 to C

4.
6.

To construct a triangle similar to a given $\fn_cm&space;\triangle&space;ABC$ with its sides 3/4 of the corresponding sides of $\fn_cm&space;\triangle&space;ABC$ draw a ray BX such that $\fn_cm&space;\angle&space;CBX$ is an acute angle and X is 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_____.

1.

3

2.

7

3.

4

4.

7.

To divide a line segment AB in the ratio 4 : 5, draw a ray AX such that $\fn_cm&space;\angle&space;BAX$ 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_______.

1.

A6 and B5

2.

A4 and B5

3.

A5 and B4

8.

To divide a line segment PQ in the ratio 3:2, a ray PX is drawn first such that $\fn_cm&space;\angle&space;QPX$ is an acute angle and then points P1 , P2 , P3 , .... are located at equal distances on the ray PX and the point Q is joined to_____.

1.

P5

2.

P2

3.

P3

4.

9.

To divide a line segment AB in the ratio 4:5, first a ray AX is drawn so that $\fn_cm&space;\angle&space;BAX$ is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is______.

1.

8

2.

9

3.

4

4.

10.

To draw a pair of tangents to a circle which are inclined to each other at an angle of $\fn_cm&space;45^{\circ}$, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is_______.

1.

$\fn_cm&space;45^{\circ}$

2.

$\fn_cm&space;125^{\circ}$

3.

$\fn_cm&space;145^{\circ}$

4.

$\fn_cm&space;135^{\circ}$

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