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Class 6 Area on Grids — practice questions with answers

Mensuration · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. On a grid, each small square is 1 square unit. The shaded shape fully covers 6 small squares. What is its area?
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Answer: A) 6 square units
Each fully covered square counts as 1 square unit. 6 covered squares = 6 square units.
2. An L-shaped figure on a grid is made of a 3-by-3 square with a 1-by-1 corner square removed. What is its area?
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Answer: B) 8
Big square = 3 x 3 = 9 squares. Remove 1 corner square: 9 - 1 = 8 square units.
3. On a grid, Aman shades a rectangle of area 30 square units with breadth 6 units. What is its length?
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Answer: A) 5 units
Length = Area / breadth = units.
4. A shaded figure on a grid is made of a 4-by-4 square with two opposite corner unit-squares removed (1 square at each removed corner).
What is the area of the remaining shaded figure?
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Answer: A) 14
Square = 4 x 4 = 16 squares. Remove 2 corner squares: 16 - 2 = 14 square units.
5. On a grid, a large 6-by-6 square is divided by both diagonals into 4 equal triangles.
Deepa shades exactly 3 of these triangles.
What is the shaded area in square units?
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Answer: B) 27
Big square = 6 x 6 = 36. Each of the 4 triangles = . Three triangles = 3 x 9 = 27 square units.
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