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Basic Geometric Ideas Quiz - CBSE Class 7 Mathematics

Free practice quiz: Basic Geometric Ideas (CBSE Class 7 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 19 multiple-choice questions on Basic Geometric Ideas, and 19 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Polygons and Their Names

  • A polygon is a closed figure made only of line segments. Segments are sides; corners where sides meet are vertices.
  • Polygons are named by number of sides: quadrilateral has 4, hexagon 6, octagon 8. Learn prefixes like penta, hepta, deca.
  • A regular polygon has all sides equal AND all angles equal. Open figures or curved figures are not polygons.
Angle sum of an n-sided polygon
\[(n-2)\times 180^\circ\]
Each angle of a regular n-gon
\[\frac{(n-2)\times 180^\circ}{n}\]

Common mistake: Thinking equal sides alone make a polygon regular. A rhombus has equal sides, but its angles may differ, so it is not regular.

Angles and Types of Triangles

  • Acute angle is less than a right angle; obtuse is between a right and straight angle; reflex is more than straight.
  • A triangle's angles always add up to a straight angle. So a triangle can never have two right or obtuse angles.
  • By sides: scalene has no equal sides, isosceles has two equal sides, equilateral has all sides equal.
Triangle angle sum
\[\angle A + \angle B + \angle C = 180^\circ\]
Straight angle
\[180^\circ\]
Complete angle
\[360^\circ\]

Common mistake: Listing shapes like 'circle' or 'square' as angle types. Angle types are only acute, right, obtuse, straight, reflex and complete.

Types of Quadrilaterals

  • Trapezium has exactly a single pair of parallel sides. Parallelogram has both pairs of opposite sides parallel.
  • Rhombus: all sides equal, opposite angles equal. Rectangle: all angles right angles. Square: all sides and all angles equal.
Angle sum of a quadrilateral
\[\angle A + \angle B + \angle C + \angle D = 360^\circ\]

Common mistake: Mixing up rhombus and square. Both have equal sides, but only a square must have all angles as right angles.

Parts of a Circle

  • Radius joins the centre to a point on the circle. Diameter is a chord passing through the centre.
  • A chord joins any two points on the circle. A tangent touches the circle at exactly a single point.
  • Circumference is the distance around the circle. An arc is a part of the circle.
Diameter and radius
\[d = 2r\]
Circumference
\[C = 2\pi r = \pi d\]

Common mistake: Thinking every chord passes through the centre. Only the diameter does, and it is the longest chord.

Faces, Edges, Vertices of Solids

  • Faces are flat surfaces, edges are lines where two faces meet, vertices are corners where edges meet.
  • Cubes and cuboids (rectangular prisms) have the same counts of faces, edges and vertices; only their shapes differ.
Euler's formula for polyhedra
\[F + V - E = 2\]

Common mistake: Confusing edges with vertices. Count corners for vertices and count line segments for edges.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. Which of the following is a closed figure formed by three line segments?

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    Answer: C. Triangle

    A triangle is a closed figure formed by three line segments.

  2. How many vertices does a cube have?

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    Answer: C. 8

    A cube has 8 vertices.

  3. What do you call a line that touches the circle at only one point?

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    Answer: A. Tangent

    A tangent is a line that touches a circle at exactly one point.

  4. How many faces does a rectangular prism have?

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    Answer: C. 6

    A rectangular prism has 6 faces.

  5. What is a chord?

    Show answer

    Answer: B. A line segment joining any two points on a circle

    A chord is a line segment joining any two points on a circle.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. How many sides does a pentagon have?
  2. What is the line segment from the center to any point on the circle called?
  3. What is the name for a 7-sided polygon?
  4. Which of these is not a type of angle?
  5. Which shape has all sides equal and angles equal?
  6. A quadrilateral with one pair of parallel sides is called what?
  7. What is a polygon with 10 sides called?
  8. The distance around a circle is known as what?
  9. An angle less than 90 degrees is called what?
  10. What is the name given to a point where two sides of an angle or polygon meet?
  11. If a quadrilateral has all sides equal and opposite angles equal, what is it called?
  12. A triangle with all three sides of different lengths is called?
  13. What is the maximum number of obtuse angles a triangle can have?
  14. Which of the following best describes a regular polygon?

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