Worksheet Solutions: Shapes and Patterns

Multiple Choice Questions (MCQs)

Q1. Regular pentagons do not tessellate because:
a) Their sides are unequal
b) They leave gaps when fitted
c) They are not polygons
d) They have unequal angles
Answer: b) They leave gaps when fitted

Q2. Which of these shapes tessellates without leaving gaps?
a) Pentagon
b) Hexagon
c) Octagon
d) Circle
Answer: b) Hexagon

Q3. A rectangle is a special type of:
a) Square
b) Parallelogram
c) Rhombus
d) Trapezium
Answer: b) Parallelogram

Q4. In a kite, which sides are equal?
a) Opposite sides
b) Adjacent sides
c) Diagonal sides
d) No sides
Answer: b) Adjacent sides

Q5. Which triangle has all three sides equal?
a) Isosceles triangle
b) Equilateral triangle
c) Scalene triangle
d) Right triangle
Answer: b) Equilateral triangle

Q6. A dodecahedron has faces in the shape of:
a) Triangles
b) Squares
c) Pentagons
d) Hexagons
Answer: c) Pentagons

Fill in the blanks 

Q1. A shape with all sides equal and all angles equal is called a __________.
Answer: Square

Q2. A triangle with no equal sides is called a __________ triangle.
Answer: Scalene

Q3. Regular __________ tessellate because they can fit exactly around a point without gaps.
Answer: Triangles (equilateral triangles)

Q4. A quadrilateral whose opposite sides are equal is called a __________.
Answer: Parallelogram

Q5. A shape with six equal sides is called a __________.
Answer: Hexagon

Q6. A cube has __________ faces, __________ edges, and __________ vertices.
Answer: 6 faces, 12 edges, 8 vertices

Q7. In an isosceles triangle, __________ sides and __________ angles are equal.
Answer: two sides, two angles

Q8. A tangram is made up of __________ pieces.
Answer: seven

Solve the Following Questions

Q1:  Draw and color the next shape to complete the pattern 
(i) 
Ans:

(ii) 
Ans:

Q2: Make a pattern using following blocks:
(i)

Ans:

(ii)
Ans:

Q3: Draw the next figures that follow the patterns:
(i)
Ans:

(ii)
Ans:

Q4: Complete the pattern:

(a)

(b)

(c)

(d)

Ans: 
(a)