Pickles AcademyStart for freeCounting squares – practice for Years 2–7
Sample questions on Counting squares with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.
- Subject
- Logic
- Year
- Years 2–7
- Curriculum area
- Counting
Question types: How many squares?
Rule: Counting squares
Count the squares by size: first the small 1×1 ones, then 2×2, 3×3… and add them all up.
In a 4 × 3 grid there are 3 × 2 = 6 squares of 2×2: a big square moves along one cell at a time.
Example: A 3 × 3 grid: 9 small + 4 of 2×2 + 1 big 3×3 = 14 squares.
Watch out: Don’t forget the big squares made of several cells, not just the smallest ones.
Sample questions
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Question 1 Easy
How many squares of all sizes are there in the picture?
Show the solution
Answer: 2How it works: 2 × 1×1 = 2
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Question 2 Normal
How many squares of all sizes are there in the picture?
Show the solution
Answer: 11How it works: 8 × 1×1 + 3 × 2×2 = 11
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Question 3 Hard
How many squares of all sizes are there in the picture?
Show the solution
Answer: 26How it works: 15 × 1×1 + 8 × 2×2 + 3 × 3×3 = 26
Keep practising in the app
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