Construction Questions for Class 6

# Construction Questions for Class 6

Construction Questions for Class 6

Maths worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of questions related to that particular topic is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the worksheets problems. Parents and teachers can also assess the students by giving them these worksheets to the students to solve.

Maths-formula brings such worksheets on constructions for you. By solving these worksheets, you can increase the understanding of the concepts learnt. These worksheets are prepared by experienced teachers and subject matter experts. If you can solve the 90% of the questions correctly, it means your preparation is very good.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these questions to the students to test them. Unit tests can also be prepared by the teachers using these questions.

Construction Questions for Class 6

1. Construct a ΔPQR. If PQ = 5.5 cm, QR = 7.5 cm and PQR = 90°.

2. Construct a circle with radius 4 cm and draw a tangent of 5.7 cm to it.

3. Construct a triangle ABC where AB = 4.2 cm, AC = 5.4 cm and BAC = 120°.

4. Draw a line segment of length 6.3 cm. Using ruler and compasses, bisect it and measure the length of each segment.

5. Draw a circle with radius 4.5 cm and draw its perpendicular bisector.

6. Construct a right-angled triangle ABC, with right angle at B, BAC = 60° and AB = 4.4 cm.

7. Draw a line AB and a construct a line CD parallel to it from point A below it using set squares.

8. Draw a line segment PQ = 9 cm. Draw a perpendicular bisector of PQ. Check the correctness of your construction.

9. Construct an incircle to an equilateral triangle with sides 5.7 cm.

10. Draw a triangle PQR, where PQ = 6.3 cm, QPR = 45° and PQR = 105°. From P, draw a perpendicular QR.

11. Draw a circle with diameter 10 cm and draw its perpendicular bisector.

12. Construct a circle with radius AB = 4.5 cm and centre A. Construct a tangent of 5.6 cm at B.

13. Draw a triangle ABC such that AB = 5.8 cm, BC = 7.6 cm and AC = 6.2 cm.

14. Use ruler and compasses to construct an angle measuring 135°.

15. Construct a triangle ABC with AB = 4.5 cm, BC = 5.9 cm and CA = 4.6 cm. Measure each angle.

16. Construct a right-angled triangle PQR in which PQ = 6.4 cm and QR = 5.2 cm.

17. Construct an isosceles triangle ABC where AB = 5.4 cm and A = 75° and B = 75°. Also, construct its circumcircle.

18. Draw a line segment PQ of length 6.4 cm and draw the perpendicular bisector and measure the length of each part.

19. Construct a ΔPQR, PQ = 4.6 cm, RPQ = 60° and RQP = 40°.

20. Construct a ΔABC. If B = 55°, C = 60° and BC = 5.6 cm.

21. Draw a line segment of length 7.6 cm and draw another line segment parallel to it at a distance of 6.3 cm.

22. Draw a line segment AB = 6.4 cm. Draw a perpendicular bisector of AB. Check the correctness of your answer.

23. Construct an angle measuring

a. 120°                           b. 75°                      c. 15°

24. Construct an angle PST = 45°.

25. Draw a line segment AB = 11 cm. Draw a line parallel to AB at a distance of 5 cm using set squares.

26. Draw an angle measuring 105° and also draw its bisector? What is the measure of the angle?

27. Draw a line segment AB = 6.8 cm and draw an CAB = 45° at A using compasses and also draw its bisector.

28. Construct a ΔXYZ where XY = 5.5 cm, YZ = 6.3 cm and ZX = 7.1 cm. Then, construct its

a. circumcircle                              b. incircle

29. Using ruler and compasses, construct the following angles and name the angles.

a. 60°                     b. 120°                   c. 90°

30. Draw a straight angle and name it AOB.

31. Using ruler and compasses, construct PQR = 90° and bisect it. Measure and write down the magnitude of each part.

32. Construct a ΔABC where AB = 5.8 cm, BC = 5.2 cm and BAC = 75°.

33. Construct a ΔPQR where QPR = 45°, PRQ = 60° and PR = 5.8 cm.

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