SEAGReady
MeasurementP6 level15 questions in the full course

Area by Counting SquaresSEAG Practice Questions

Finding the area of shapes by counting unit squares on a grid, understanding that area measures the space inside a shape.

Where your child meets this in real life: Understanding floor tiles, counting squares on graph paper to compare sizes

What your child needs to know

SEAGReady breaks area by counting squares into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Whole Unit Squares

    Count whole unit squares to find the area of rectangles and simple rectilinear shapes on a grid

  2. 2

    Combining Partial Squares

    Find the area of shapes with diagonal edges by identifying and combining half squares

Try these SEAG-style questions

Three free sample questions from our area by counting squares course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Leah draws a rectangle on squared paper that is 3 squares wide and 4 squares tall. How many unit squares are inside her rectangle?

A shaded 4 by 3 rectangle divided into twelve equal unit squares.
Answer choices for question 1
Question 2Confidence builder

Erin draws a right-angled triangle on a 4 by 4 square grid. She counts 6 whole squares and 4 half squares inside it. What is the area of the triangle?

A shaded right triangle contains six whole unit squares and four half squares along its diagonal.
Answer choices for question 2
Question 3Confidence builder

Poppy marks a small right-angled flower bed on a 2 by 2 square grid. It contains 1 whole square and 2 half squares. What is its total area?

A shaded right triangle contains one whole unit square and two half squares.
Answer choices for question 3

Try the lesson: Whole Unit Squares

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Hannah is designing a mosaic pattern. She draws a rectangle on squared paper that is 4 squares wide and 3 squares tall.

How many unit squares are inside her rectangle?

Area = ? square units

Understand what area means
1

Area is the space INSIDE the shape

Step 1 of 4

Prefer to read? See every step written out

Hannah is designing a mosaic pattern. She draws a rectangle on squared paper that is 4 squares wide and 3 squares tall.

How many unit squares are inside her rectangle?

  1. 1

    Understand what area means

    • Area is the space INSIDE the shape
    • Each small square is 1 square unit
  2. 2

    Count the squares systematically

    • Count row by row: 4 squares in each row
    • There are 3 rows4 + 4 + 4 = 12

The rectangle has an area of 12 square units.

The key insight: Area counts the squares INSIDE the shape, not along the edges!

Common mix-up: Adding 4 + 3 + 4 + 3 = 14. That adds the outside edge lengths and finds the perimeter. Area counts the 12 unit squares inside the rectangle.

Mistakes to watch for

These are the misconceptions we see most often in area by counting squares, including the ones our practice questions are specifically designed to catch.

  • Counting the squares around the edge (perimeter) instead of inside
  • Missing squares or counting the same square twice
  • Not understanding that half squares can be combined
15 questions on this topic alone

Master area by counting squares and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

Start free

Free to start · no card needed