In Class 6 Maths, Chapter 8: Playing with Constructions, you will revise how to use tools like a ruler and compass to make figures such as circles, rectangles, and squares. You’ll solve multiple-choice questions with four options and answers to check your understanding of the key concepts and examples. Practice fill-in-the-blank questions which is just below MCQ. It will test your memory of definitions, properties, and important details.
Class 6 Maths Chapter 8 MCQ Playing with Constructions
Question 1: What tool is mainly used to draw circles in constructions?
a) Ruler
b) Protractor
c) Compass
d) Divider
Answer:
c) Compass
Question 2: All points that are at the same distance from a fixed point form a ___.
a) Line
b) Circle
c) Triangle
d) Polygon
Answer:
b) Circle
Question 3: The fixed point inside a circle is called its ___.
a) Diameter
b) Radius
c) Centre
d) Chord
Answer:
c) Centre
Question 4: The distance from the centre of a circle to any point on the circle is called the ___.
a) Radius
b) Diameter
c) Arc
d) Sector
Answer:
a) Radius
Question 5: Which of these is NOT a property of a rectangle?
a) Opposite sides are equal
b) All angles are 90°
c) All sides are equal
d) It has four sides
Answer:
c) All sides are equal
Question 6: Which property makes a square different from a rectangle?
a) Opposite sides are equal
b) All angles are 90°
c) All sides are equal
d) Four sides in total
Answer:
c) All sides are equal
Question 7: Which of the following is NOT a correct name for rectangle ABCD?
a) BCDA
b) CDAB
c) ACBD
d) DABC
Answer:
c) ACBD
Question 8: Rotating a square changes which of its properties?
a) Side lengths
b) Angles
c) Both
d) None
Answer:
d) None
Question 9: A square of side 6 cm has a perimeter of ___.
a) 12 cm
b) 18 cm
c) 24 cm
d) 36 cm
Answer:
c) 24 cm
Question 10: To construct a square, which two conditions must be satisfied?
a) Equal diagonals and unequal sides
b) Equal sides and all angles 90°
c) Parallel diagonals and equal sides
d) Unequal sides and equal angles
Answer:
b) Equal sides and all angles 90°
Question 11: The diagonals of a rectangle are always ___.
a) Equal
b) Unequal
c) Parallel
d) Perpendicular
Answer:
a) Equal
Question 12: The diagonals of a square are ___.
a) Equal and perpendicular
b) Unequal but perpendicular
c) Equal but not perpendicular
d) Unequal and not perpendicular
Answer:
a) Equal and perpendicular
Question 13: A diagonal of a rectangle divides it into two equal ___.
a) Squares
b) Circles
c) Triangles
d) Parallelograms
Answer:
c) Triangles
Question 14: To construct a rectangle, which minimum data is sufficient?
a) Only one side
b) Two adjacent sides
c) Only one angle
d) Only one diagonal
Answer:
b) Two adjacent sides
Question 15: Which construction is possible with a side and a diagonal given?
a) Triangle
b) Rectangle
c) Circle
d) Pentagon
Answer:
b) Rectangle
Question 16: A circle of radius 5 cm is drawn with a compass. What is the distance between the centre and any point on the circle?
a) 4 cm
b) 5 cm
c) 6 cm
d) Varies
Answer:
b) 5 cm
Question 17: The figure formed by joining all points equidistant from two given points is the ___.
a) Perpendicular bisector
b) Angle bisector
c) Median
d) Diagonal
Answer:
a) Perpendicular bisector
Question 18: Which of the following is required to construct a circle?
a) Centre and radius
b) Diameter and chord
c) Two radii
d) Tangent and secant
Answer:
a) Centre and radius
Question 19: The diagonals of a rectangle intersect each other at ___.
a) 30°
b) 45°
c) 60°
d) No fixed angle
Answer:
d) No fixed angle
Question 20: A diagonal of a square divides it into two ___ right-angled triangles.
a) Equal
b) Unequal
c) Isosceles
d) Scalene
Answer:
a) Equal
Question 21: Which instrument is mainly used to measure and draw right angles?
a) Divider
b) Compass
c) Protractor
d) Set square
Answer:
d) Set square
Question 22: In constructions, a rough diagram is useful because it helps in ___.
a) Measurement only
b) Estimating steps and planning
c) Final proof only
d) None of these
Answer:
b) Estimating steps and planning
Question 23: A square has sides of length 8 cm. Its diagonal length is ___.
a) 8 cm
b) 12 cm
c) 8√2 cm
d) 16 cm
Answer:
c) 8√2 cm
Question 24: Which of the following is true about diagonals of a square?
a) They bisect each other
b) They are perpendicular
c) They are equal
d) All of these
Answer:
d) All of these
Question 25: Which construction method avoids trial and error in locating points?
a) Using only ruler
b) Using compass and arcs
c) Freehand drawing
d) Estimation only
Answer:
b) Using compass and arcs
Question 26: A rectangle has length 6 cm and breadth 4 cm. Its diagonals are of length ___.
a) 6 cm
b) 7 cm
c) √52 cm
d) √36 cm
Answer:
c) √52 cm
Question 27: Which quadrilateral has all sides equal but angles not equal to 90°?
a) Square
b) Rectangle
c) Rhombus
d) Parallelogram
Answer:
c) Rhombus
Question 28: A perpendicular bisector divides a line segment into ___ equal parts.
a) Two
b) Three
c) Four
d) Five
Answer:
a) Two
Question 29: If a rectangle is constructed with sides 5 cm and 12 cm, its diagonal will be ___.
a) 12 cm
b) 13 cm
c) 14 cm
d) 15 cm
Answer:
b) 13 cm
Question 30: The diagonals of a square divide it into ___ congruent right-angled triangles.
a) Two
b) Three
c) Four
d) Eight
Answer:
c) Four
Question 31: Which construction requires the use of arcs from both ends of a line segment?
a) Drawing parallel lines
b) Bisecting a line
c) Drawing a tangent
d) Constructing a triangle
Answer:
b) Bisecting a line
Question 32: A circle drawn with radius 6 cm will have a diameter of ___.
a) 6 cm
b) 12 cm
c) 18 cm
d) 24 cm
Answer:
b) 12 cm
Question 33: To construct a rectangle from a side and a diagonal, which method is best?
a) Compass with arcs
b) Freehand sketching
c) Measuring by estimation
d) Using only a ruler
Answer:
a) Compass with arcs
Question 34: The diagonals of a rectangle bisect each other into ___ equal parts.
a) Two
b) Three
c) Four
d) Six
Answer:
c) Four
Question 35: Which of the following shapes can always be constructed on dot grids?
a) Squares and rectangles
b) Only triangles
c) Only circles
d) Only parallelograms
Answer:
a) Squares and rectangles
Question 36: The point where diagonals of a square meet is called the ___.
a) Centre
b) Radius
c) Midpoint
d) Intersection
Answer:
a) Centre
Question 37: Which shape can be divided into three identical squares?
a) Square
b) Rectangle
c) Triangle
d) Rhombus
Answer:
b) Rectangle
Question 38: Which construction uses two intersecting arcs to find a point equidistant from two points?
a) Drawing a triangle
b) Constructing a circle
c) Constructing a perpendicular bisector
d) Drawing a tangent
Answer:
c) Constructing a perpendicular bisector
Question 39: If the side of a square is 10 cm, its diagonal is ___.
a) 10 cm
b) 12 cm
c) 14.14 cm
d) 15 cm
Answer:
c) 14.14 cm
Question 40: Which of these figures always has equal diagonals?
a) Rhombus
b) Rectangle
c) Parallelogram
d) Kite
Answer:
b) Rectangle
Fill in the blanks on Playing with Constructions Class 6
1. A circle is the collection of all points at the same ___ from a fixed point.
Answer:
distance
2. The fixed point inside a circle is called its ___.
Answer:
centre
3. The distance from the centre of a circle to any point on the circle is called the ___.
Answer:
radius
4. The instrument used to draw a circle is called a ___.
Answer:
compass
5. A polygon in which all sides and all angles are equal is called a ___ polygon.
Answer:
regular
6. The diagonals of a rectangle are always ___ in length.
Answer:
equal
7. The diagonals of a square are ___ and ___ to each other.
Answer:
equal, perpendicular
8. A diagonal of a rectangle divides it into two equal ___.
Answer:
triangles
9. A diagonal of a square divides it into two equal ___ right-angled triangles.
Answer:
isosceles
10. A perpendicular bisector divides a line segment into ___ equal parts.
Answer:
two
11. A square of side 5 cm has a perimeter of ___ cm.
Answer:
20
12. A rectangle of length 8 cm and breadth 6 cm has diagonals of length ___ cm.
Answer:
10
13. The diagonals of a rectangle ___ each other.
Answer:
bisect
14. The diagonals of a square bisect each other at ___ angles.
Answer:
right
15. A rhombus has all sides equal but its angles are not necessarily ___.
Answer:
90°
16. The point where the diagonals of a square or rectangle intersect is called the ___.
Answer:
centre
17. To construct a rectangle, we need the measure of two ___ sides.
Answer:
adjacent
18. A square with side 7 cm has a diagonal length of ___ cm.
Answer:
7√2
19. The shape formed by joining all points equidistant from two fixed points is the ___ of the line segment joining them.
Answer:
perpendicular bisector
20. A rectangle has ___ equal diagonals but a rhombus has diagonals that are ___.
Answer:
equal, unequal
21. A square is a rectangle with all sides ___.
Answer:
equal
22. Figures like squares and rectangles can be easily drawn on ___ grids.
Answer:
dot
