Class 6 Maths Chapter 8 MCQ

NCERT CLASS 6 | MATHEMATICS | GANITA PRAKASH

Chapter 8 – Playing with Constructions MCQs

1. Which instrument is used to draw circles?
A. Ruler
B. Compass
C. Protractor
D. Set square
Answer: B. Compass

2. What is the shape formed by all points that are at the same distance from a fixed point?
A. Square
B. Triangle
C. Circle
D. Rectangle
Answer: C. Circle

3. What is the fixed point at the centre of a circle called?
A. Radius
B. Centre
C. Diameter
D. Chord
Answer: B. Centre

4. What is the distance between the centre of a circle and any point on it called?
A. Diameter
B. Circumference
C. Radius
D. Arc
Answer: C. Radius

5. If the radius of a circle is 4 cm, what is the distance from its centre to any point on the circle?
A. 2 cm
B. 4 cm
C. 8 cm
D. 16 cm
Answer: B. 4 cm

6. Which part of a compass is kept fixed while drawing a circle?
A. Pencil
B. Ruler
C. Pointed tip
D. Both legs
Answer: C. Pointed tip

7. What is a curve, as described in the chapter?
A. Only a straight line
B. A shape that can be drawn on paper with a pencil
C. Only a circle
D. A closed square
Answer: B. A shape that can be drawn on paper with a pencil



8. In the Wavy Wave construction, what length is taken for the central line AB?
A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm
Answer: C. 8 cm

9. In the Wavy Wave construction, what is the radius required to draw the first half circle?
A. 2 cm
B. 4 cm
C. 6 cm
D. 8 cm
Answer: A. 2 cm

10. In the Wavy Wave construction, what is the length of AX?
A. 2 cm
B. 3 cm
C. 4 cm
D. 8 cm
Answer: C. 4 cm

11. Which two instruments are mainly used for geometrical constructions in this chapter?
A. Compass and ruler
B. Protractor and divider
C. Scale and calculator
D. Set square and calculator
Answer: A. Compass and ruler



12. How many sides does a rectangle have?
A. 3
B. 4
C. 5
D. 6
Answer: B. 4

13. What are the corner points of a rectangle called?
A. Radii
B. Vertices
C. Centres
D. Diagonals
Answer: B. Vertices

14. In rectangle ABCD, which pair represents opposite sides?
A. AB and BC
B. BC and CD
C. AB and CD
D. AB and AD
Answer: C. AB and CD

15. What is the measure of each angle of a rectangle?
A. 45°
B. 60°
C. 90°
D. 180°
Answer: C. 90°



16. Which property is true for a rectangle?
A. All sides are equal
B. Opposite sides are equal
C. All angles are 60°
D. Only one angle is 90°
Answer: B. Opposite sides are equal

17. Which property is true for a square?
A. Only opposite sides are equal
B. All sides are equal
C. All angles are 60°
D. No sides are equal
Answer: B. All sides are equal

18. What is the measure of each angle of a square?
A. 45°
B. 60°
C. 90°
D. 120°
Answer: C. 90°

19. Which of the following is a property common to both squares and rectangles?
A. All sides are equal
B. All angles are 90°
C. All sides are unequal
D. Opposite angles are 45°
Answer: B. All angles are 90°

20. Can a rotated square still be called a square?
A. No, never
B. Yes, because its properties remain unchanged
C. Only if it is horizontal
D. Only if it is vertical
Answer: B. Yes, because its properties remain unchanged

21. What happens to the lengths and angles of a square when it is rotated?
A. They become unequal
B. They change completely
C. They remain unchanged
D. The angles become 45°
Answer: C. They remain unchanged

22. How should the corners be arranged when naming a rectangle?
A. In any random order
B. In order of travel around the rectangle
C. Only clockwise
D. Only anticlockwise
Answer: B. In order of travel around the rectangle

23. Which of the following is NOT a valid name for the square shown in the chapter?
A. SPQR
B. RSPQ
C. QRSP
D. PQSR
Answer: D. PQSR

24. What is the first step in constructing a square of side 6 cm?
A. Draw a circle
B. Draw a line segment of 6 cm
C. Draw a diagonal
D. Draw a triangle
Answer: B. Draw a line segment of 6 cm

25. What angle is formed by a perpendicular line with the base of a square?
A. 30°
B. 45°
C. 60°
D. 90°
Answer: D. 90°

26. In the construction of square PQRS, what is the length of side PQ?
A. 4 cm
B. 5 cm
C. 6 cm
D. 8 cm
Answer: C. 6 cm

27. In a square, if one side is 6 cm, what is the length of the opposite side?
A. 3 cm
B. 4 cm
C. 6 cm
D. 12 cm
Answer: C. 6 cm

28. Which instrument can be used to transfer a given length during construction?
A. Compass
B. Calculator
C. Protractor
D. Eraser
Answer: A. Compass

29. A rectangle has sides of lengths 4 cm and 6 cm. What are the lengths of its opposite sides?
A. 4 cm and 4 cm; 6 cm and 6 cm
B. All sides are 4 cm
C. All sides are 6 cm
D. 4 cm and 6 cm; 4 cm and 6 cm
Answer: A. 4 cm and 4 cm; 6 cm and 6 cm

30. Is it possible to construct a four-sided figure with all angles equal to 90° but opposite sides unequal?
A. Yes, always
B. No
C. Only with a compass
D. Only on dot paper
Answer: B. No

31. In the rectangle exploration, where can point X be placed?
A. Only at the centre
B. Anywhere along side AD
C. Only outside the rectangle
D. Only at point B
Answer: B. Anywhere along side AD

32. In the rectangle exploration, where can point Y be placed?
A. Anywhere along side BC
B. Only at point A
C. Only outside the rectangle
D. Anywhere along diagonal AC
Answer: A. Anywhere along side BC

33. What does XY represent in the rectangle exploration?
A. A side of the rectangle
B. A diagonal of the rectangle
C. The distance between points X and Y
D. The radius of a circle
Answer: C. The distance between points X and Y

34. If X and Y are placed at the same distance from A and B respectively, what is the length of XY compared with AB?
A. XY is twice AB
B. XY is half of AB
C. XY is equal to AB
D. XY is zero
Answer: C. XY is equal to AB

35. What shape is formed by the four-sided figure ABYX when X and Y are placed at equal distances from A and B?
A. Triangle
B. Rectangle
C. Circle
D. Pentagon
Answer: B. Rectangle

36. What is the farthest distance between X and Y in the rectangle exploration equal to?
A. AB
B. BC
C. AC or BD
D. AD only
Answer: C. AC or BD

37. A rectangle divided into three identical squares has what relationship between its length and breadth?
A. Length is equal to breadth
B. Length is twice the breadth
C. Length is three times the breadth
D. Breadth is three times the length
Answer: C. Length is three times the breadth

38. What is the first useful step when planning a geometrical construction?
A. Erase the figure
B. Draw a rough diagram
C. Measure every angle randomly
D. Draw a circle
Answer: B. Draw a rough diagram

39. What symbol is used in the chapter to represent equal sides in a figure?
A. +
B. ×
C. |
D. =
Answer: C. |

40. What is the side length of the rectangle used in the ‘Square within a Rectangle’ construction?
A. 6 cm
B. 8 cm
C. 10 cm
D. 12 cm
Answer: B. 8 cm

41. What is the breadth of the rectangle used in the ‘Square within a Rectangle’ construction?
A. 2 cm
B. 3 cm
C. 4 cm
D. 8 cm
Answer: C. 4 cm

42. How many diagonals does a rectangle have?
A. 1
B. 2
C. 3
D. 4
Answer: B. 2

43. What are the diagonals of rectangle PQRS?
A. PQ and QR
B. PR and QS
C. PS and QR
D. PQ and SR
Answer: B. PR and QS

44. What is the measure of each angle of a rectangle before it is divided by a diagonal?
A. 30°
B. 45°
C. 60°
D. 90°
Answer: D. 90°

45. When does a diagonal divide the opposite angles of a rectangle into equal parts?
A. When the rectangle becomes a square
B. When the rectangle is very long
C. When the rectangle is very narrow
D. When one side is zero
Answer: A. When the rectangle becomes a square

46. In the construction of a rectangle with one side 5 cm and diagonal 7 cm, what is drawn first?
A. A circle of radius 7 cm
B. A base of length 5 cm
C. A square of side 7 cm
D. A diagonal of 5 cm
Answer: B. A base of length 5 cm

47. In the same construction, what is the radius of the circle drawn with D as the centre to locate point B?
A. 3 cm
B. 5 cm
C. 6 cm
D. 7 cm
Answer: D. 7 cm

48. What does it mean for a point to be equidistant from two given points?
A. It is closer to the first point
B. It is closer to the second point
C. It is at the same distance from both points
D. It is at zero distance from both points
Answer: C. It is at the same distance from both points

49. In the House construction, what is the length of each border line?
A. 2 cm
B. 3 cm
C. 4 cm
D. 5 cm
Answer: D. 5 cm

50. Which method is used to locate a point that is 5 cm from both B and C in the House construction?
A. Drawing two perpendicular lines
B. Drawing arcs of radius 5 cm from B and C
C. Measuring only with a protractor
D. Drawing a rectangle
Answer: B. Drawing arcs of radius 5 cm from B and C

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