CLASS 5 MATHS WORKSHEET LESSON 7

Mathematics Worksheet: Shapes and Patterns (Foundation Stage)

Based on NCERT Class 3/4, Chapter 7:
Questions develop shape sense, pattern recognition, reasoning, and real-world visualization. Click to check answers and see full worked solutions!

Concepts

• Name 3 different shapes you see in a woven mat.
  Show Answer

  Answer: Square, rectangle, strip

  Show Solution

  Solution: Most mats use square or rectangular patterns, and the strips themselves are rectangular.
• What do you call a 5-sided regular shape?
  Show Answer

  Answer: Regular pentagon

  Show Solution

  Solution: A polygon with five equal sides and angles.
• Which regular polygon can fill a surface with no gaps or overlaps?
  Show Answer

  Answer: Equilateral triangles, squares, regular hexagons

  Show Solution

  Solution: These three tessellate perfectly as shown in book patterns (Ref: Tessellation section).
• What is a kite in geometry?
  Show Answer

  Answer: A 4-sided figure with two pairs of adjacent sides equal.

  Show Solution

  Solution: A kite has two adjacent sides equal (not opposite), and looks like a flying kite.

Computational Skills

• If you weave a mat with a pattern "1 under, 1 over," how many strips will you use in the first five rows?
  Show Answer

  Answer: 5 strips

  Show Solution

  Solution: Each row uses one long strip; five rows need five strips total.
• Complete the pattern: Row 1: 2 over, 1 under, 2 over, 1 under. Row 2: 2 under, 1 over, 2 under, 1 over. What comes in Row 3?
  Show Answer

  Answer: 2 over, 1 under, 2 over, 1 under

  Show Solution

  Solution: The pattern repeats every two rows—odd rows match Row 1.
• Draw a square on grid paper. How many lines of symmetry does it have?
  Show Answer

  Answer: Four

  Show Solution

  Solution: Two diagonals and two center lines. (NCERT: Grid and folding paper investigations)
• Arrange: pentagon, triangle, hexagon, square in order of increasing number of sides.
  Show Answer

  Answer: Triangle, square, pentagon, hexagon

  Show Solution

  Solution: 3 (triangle) < 4 (square) < 5 (pentagon) < 6 (hexagon).

Problem Solving & Real World Modeling

• You have 2 triangle pieces and 2 square pieces. How many different shapes can you make?
  Show Answer

  Answer: At least 3 (parallelogram, bigger square, rectangle)

  Show Solution

  Solution: Try arranging them by matching sides—see book tangram tasks for ideas.
• If you place 6 regular hexagons around a point, will they leave any gap?
  Show Answer

  Answer: No, they fill perfectly (tessellate)

  Show Solution

  Solution: Six angles of 120° add to 720°, making a full circle (Ref: NCERT pattern).
• You want to tile a floor without gaps. Which shapes can you use from triangle, pentagon, square, hexagon, octagon?
  Show Answer

  Answer: Triangle, square, hexagon (not pentagon/octagon)

  Show Solution

  Solution: Only these tessellate (see NCERT for pattern illustration).
• How many faces does a cube have? How many faces can be seen from one side?
  Show Answer

  Answer: 6 faces on a cube; from one side, 3 at a time can be visible

  Show Solution

  Solution: Explore with real object or cube net. (See solid shapes activities)
• Challenge: Arrange 2 triangles, 1 square, and 1 hexagon in a single sequence using clues:
  Show Answer

  Answer: (Example from book clues) triangle, square, hexagon, triangle

  Show Solution

  Solution: Follow clues: triangle beside square, hexagon after square; arranging as per puzzle instructions.