CBSE Class 6 Mathematics Playing with Constructions MCQs Set A

Question. What is the distance from the center of a circle to any point on the circle called?
(a) Diameter
(b) Radius
(c) Circumference
(d) Arc

Answer: B

Question. Which tool would you use to draw a perfect circle with a 5 cm radius?
(a) Ruler
(b) Compass
(c) Set square
(d) Protractor

Answer: B

Question. What tool is primarily used to draw circles?
(a) Ruler
(b) Protractor
(c) Divider
(d) Compass

Answer: D

Question. In the construction of a circle, the fixed point from which all points on the circle are equidistant is called the:
(a) Radius
(b) Circumference
(c) Center
(d) Diameter

Answer: C

Question. What tool is used to draw a perfect circle?
(a) Ruler
(b) Compass
(c) Protractor
(d) Divider

Answer: B

Question. All points on a circle are at the same distance from its ________.
(a) diameter
(b) centre
(c) chord
(d) tangent

Answer: B

Question. The fixed distance from the centre to any point on the circle is called the ________.
(a) diameter
(b) radius
(c) arc
(d) sector

Answer: B

Question. If the length of a rectangle is 10 cm and the breadth is 5 cm, what is the area?
(a) 20 cm²
(b) 30 cm²
(c) 50 cm²
(d) 100 cm²

Answer: C

Question. What is the total sum of angles in a rectangle?
(a) 180°
(b) 270°
(c) 360°
(d) 90°

Answer: C

Question. A rectangle can be constructed if we know
(a) One side and one diagonal
(b) Length of one side
(c) One angle and one side
(d) Two diagonals

Answer: A

Question. To draw a circle of radius 4 cm using instruments, you should set the compass opening by measuring 4 cm on the ________.
(a) protractor
(b) ruler/scale
(c) set square
(d) divider

Answer: B

Question. What is the shape of the curve drawn with a compass when the distance between the point and the pencil is fixed?
(a) Line
(b) Circle
(c) Square
(d) Triangle

Answer: B

Question. Which geometric tool is used to draw straight lines?
(a) Compass
(b) Divider
(c) Ruler
(d) Protractor

Answer: C

Question. In a rectangle, the opposite sides are equal and ________.
(a) adjacent sides are equal
(b) all angles are 60°
(c) all angles are 90°
(d) diagonals are perpendicular

Answer: C

Question. When drawing a rectangle, which of the following is true about its diagonals?
(a) They are always parallel.
(b) They bisect each other at right angles.
(c) They are equal in length.
(d) They form acute angles with each other.

Answer: C

Question. What is the perimeter of a rectangle with a length of 8 cm and a breadth of 5 cm?
(a) 16 cm
(b) 18 cm
(c) 26 cm
(d) 36 cm

Answer: C

Question. What is the diagonal of a square with side length 8 cm?
(a) 8 cm
(b) 16 cm
(c) 11.3 cm
(d) 12 cm

Answer: C

Question. Which property is true for both squares and rectangles?
(a) All sides are equal
(b) All diagonals are equal
(c) The sum of angles is 180°
(d) Opposite sides are equal and all angles are 90°

Answer: D

Question. In a square, which of the following is always true?
(a) Only opposite sides are equal
(b) All sides are equal and all angles are 90°
(c) Only adjacent sides are equal
(d) Angles are not equal

Answer: B

Question. In a rectangle, what are the measures of the four angles?
(a) 30°
(b) 60°
(c) 90°
(d) 120°

Answer: C

Question. A square is rotated by some angle about its centre. The rotated figure is:
(a) not a square
(b) a rectangle but not a square
(c) still a square
(d) a rhombus

Answer: C

Question. Which instrument is best for measuring the length of a diagonal?
(a) Ruler
(b) Compass
(c) Divider
(d) Protractor

Answer: A

Question. Which tool is used to draw arcs and circles?
(a) Divider
(b) Compass
(c) Protractor
(d) Set square

Answer: B

Question. Which of the following is a property of a rectangle?
(a) All sides are equal
(b) Opposite sides are equal
(c) Only one angle is 90°
(d) It has no diagonals

Answer: B

Question. Which name is not valid for a square with vertices in order P–Q–R–S?
(a) PQRS
(b) QRSP
(c) PRQS
(d) RSPQ

Answer: C

Question. To construct a square PQRS of side 6 cm, after drawing PQ = 6 cm, the next essential step is to draw a line through P that is ________ to PQ.
(a) parallel
(b) equal
(c) bisecting
(d) perpendicular

Answer: D

Question. What is the sum of the four angles of a rectangle?
(a) 90°
(b) 180°
(c) 270°
(d) 360°

Answer: D

Question. If you want to find a point that is equidistant from two given points, which tool would you use?
(a) Ruler
(b) Compass
(c) Protractor
(d) Set square

Answer: B

Question. What is the diagonal of a rectangle with a length of 6 cm and a breadth of 8 cm?
(a) 10 cm
(b) 12 cm
(c) 14 cm
(d) 16 cm

Answer: A

Question. Which property is common to both a square and a rectangle?
(a) All sides are equal
(b) Diagonals are perpendicular
(c) Opposite sides are equal
(d) All angles are 45°

Answer: C

Question. To construct a rectangle with sides 4 cm and 6 cm, you must ensure:
(a) opposite sides equal and all angles 90°
(b) all sides 6 cm
(c) diagonals equal to sides
(d) angles 60°

Answer: A

Question. To locate a point B that is 7 cm from D and lies on a given line l, an efficient method is to draw:
(a) a random arc anywhere
(b) a circle/arc of radius 7 cm centred at D and find its intersection with l
(c) a perpendicular bisector of an unknown segment
(d) a 60° ray

Answer: B

Fill in the Blanks

Question. The distance from the center of a circle to any point on the circle is called the _____.
Answer: Radius

Question. The sum of all angles in a rectangle is _____ degrees.
Answer: 360

Question. To draw a perpendicular line through a point on a line segment, you would typically use a _____.
Answer: Set square or a compass

True/False

Question. All the sides of a rectangle are of equal length.
Answer: False

Question. A rotated square is still a square as long as all sides remain equal and angles remain 90 degrees.
Answer: True