CBSE Class 5 Mathematics Grandmother’s Quilt Worksheet Set 02

Fill in the Blanks

Question. Preetha and Adrit's grandmother stitched a rug with square patches; the total number of patches used is _____.
Answer: 90
Explanation: The quilt has 6 rows and 15 patches in each row. Multiplying 6 by 15 gives 6 × 15 = 90 square patches.

Question. The area of a rectangular plot having length 42 m and breadth 34 m is _____ square metres.
Answer: 1428
Explanation: Multiply the length by the breadth: 42 × 34 = 1428 square metres.

Question. A regular pentagon having all five sides equal to 4 cm has a boundary of _____ cm.
Answer: 20
Explanation: A pentagon has 5 sides. Since each side is 4 cm long, the perimeter is 5 × 4 = 20 cm.

Question. The breadth of a rectangular lawn with an area of 64 sq m and a length of 16 m is _____ m.
Answer: 4
Explanation: Divide the area by the length to find the missing side: 64 ÷ 16 = 4 metres.

Question. If a table is made of 54 unit squares and each square contains 2 green triangles, then _____ green triangles will cover the table.
Answer: 108
Explanation: Since 1 square tile holds 2 green triangles, 54 squares hold 54 × 2 = 108 triangles.

Question. A composite rectangle measuring 32 cm in length and 18 cm in width has an area of _____ sq cm.
Answer: 576
Explanation: Multiply the total length by total breadth: 32 cm × 18 cm = 576 square centimetres.

Question. The area of Table 1 covered completely by triangles without any gaps is _____ triangle units.
Answer: 20
Explanation: Exactly 20 identical triangle tiles fit together neatly without overlapping to cover the table surface.

Question. A square having side measure 6 cm has an area of _____ sq cm.
Answer: 36
Explanation: Area of a square = side × side = 6 × 6 = 36 square centimetres.

True or False

Question. Circular shapes can tile a flat floor completely without leaving any gaps.
Answer: False
Explanation: Round shapes cannot sit edge-to-edge without leaving diamond-shaped empty gaps between them.

Question. If you enlarge the area of a rectangle, its perimeter will always increase.
Answer: False
Explanation: A rectangle of 12 cm × 2 cm has an area of 24 and perimeter of 28. A rectangle of 7 cm × 4 cm has a bigger area of 28, but its perimeter shrinks to 22!

Question. A square of 3 cm by 3 cm and a triangle made of 6 full unit squares plus 6 half unit squares have identical areas.
Answer: True
Explanation: The square has 3 × 3 = 9 squares. The triangle has 6 full squares + 3 squares (from 6 halves) = 9 squares. Both equal 9 square units.

Question. Two distinct shapes can have the exact same area but different perimeters.
Answer: True
Explanation: You can rearrange the same 12 square tiles into a long thin strip (perimeter 26) or a compact block (perimeter 14).

Question. A regular six-sided figure with each side measuring 5 cm has a perimeter of 30 cm.
Answer: True
Explanation: Adding all 6 equal sides together gives 5 + 5 + 5 + 5 + 5 + 5 = 30 cm.

Question. A rectangle with length 12 cm and breadth 2 cm has a larger perimeter than a rectangle of 7 cm by 4 cm.
Answer: True
Explanation: The first rectangle's perimeter is 2 × (12 + 2) = 28 cm, while the second is 2 × (7 + 4) = 22 cm. 28 cm is larger than 22 cm.

Questions / Short Question Answers

Question. Preetha covers her desk made of 54 unit squares using large red triangles. If 2 red triangles cover 9 squares, how many red triangles are required to cover the whole desk?
Answer: 12 red triangles
Explanation: Find how many groups of 9 squares fit in 54: 54 ÷ 9 = 6 groups. Since each group uses 2 red triangles, she needs 6 × 2 = 12 red triangles.

Question. Why can circular tiles not be used to tile the top of a study table?
Answer: Circles leave empty spaces and gaps between them and cannot cover a flat region completely.
Explanation: Circles only touch at curved points, leaving holes between them that cannot be covered without overlapping.

Question. A student draws a rectangle with a perimeter of 26 cm. If the length is 8 cm, what is its breadth?
Answer: 5 cm
Explanation: Half of the perimeter is length + breadth = 26 ÷ 2 = 13 cm. Subtracting the length gives 13 − 8 = 5 cm.

Question. Compare the areas of Garden A (10 grid squares) and Garden B (12 grid squares). Which garden covers more space?
Answer: Garden B covers more space (by 2 square units).
Explanation: Garden B has 12 square units, while Garden A has only 10 square units. 12 is greater than 10.

Question. Two mats (a) and (b) both have a perimeter of 14 units. Mat (a) is 5 units by 2 units, while Mat (b) is 4 units by 3 units. How many square patches are needed for each mat?
Answer: Mat (a) needs 10 patches; Mat (b) needs 12 patches.
Explanation: Area = length × breadth. For Mat (a), 5 × 2 = 10 square patches. For Mat (b), 4 × 3 = 12 square patches.

Question. Find the total perimeter of a 6-sided hourglass figure made of two touching equilateral triangles, each with an outer side of 5 cm.
Answer: 30 cm
Explanation: The boundary is formed by 6 equal sides of 5 cm each: 6 × 5 = 30 cm.

Question. How do you calculate the area of a triangle drawn on a square grid that contains 6 full squares and 6 half squares?
Answer: Area = 9 square units
Explanation: Two halves make one whole square. So 6 half-squares equal 3 full squares. Adding the 6 full squares gives 6 + 3 = 9 square units.

Question. A runner jogs around a rectangular park with sides 12 cm and 4 cm on a map. What is the boundary length of this rectangle?
Answer: 32 cm
Explanation: Perimeter = 2 × (length + breadth) = 2 × (12 + 4) = 2 × 16 = 32 cm.

Vocabulary Activity - "Guess the Word"

Question. Guess the Word: I am the total distance around the edge of a closed shape. What am I?
Answer: Perimeter
Explanation: Perimeter is the length of the fence or path that runs all the way around a shape.

Question. Guess the Word: I am the total amount of flat space covered inside a boundary. What am I?
Answer: Area
Explanation: Area tells you how many square tiles fit over a surface to cover it completely.

Question. Guess the Word: I am a pattern of repeating flat shapes that fit together without leaving any gaps or overlaps. What am I?
Answer: Tiling (or Tessellation)
Explanation: Tiling is when shapes like squares or triangles cover a floor seamlessly without holes or overlapping edges.

Question. Guess the Word: I am a traditional blanket made by sewing together numerous small decorative fabric squares. What am I?
Answer: Quilt
Explanation: A quilt is a cozy blanket made from sewing together colorful patchwork pieces.

Question. Guess the Word: I am a 5-sided polygon whose perimeter is found by adding the lengths of all 5 equal edges. What am I?
Answer: Regular Pentagon
Explanation: A regular pentagon has five straight, equal sides and five equal corners.