Perimeter, area and volume · Ages 9–10

Counting squares for area worksheet

Part of: Perimeter and area

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Perimeter, area and volume · Ages 9–10

Numsprite
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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Each square on the paper is 1 cm². What is the area of the shape in cm²?
Answer:
2.Each square on the paper is 1 cm². What is the area of the shape in cm²?
Answer:
3.At least how many more squares must be added to fill this shape out into a rectangle (none subtracted)?
Answer:

4.Each square on the paper is 1 cm². What is the shape's area?
- A. 9 cm²
- B. 16 cm²
- C. 8 cm²
- D. 7 cm²
Choose the right answer
Answer:
5.Each square on the paper is 1 cm². Which shape has an area of exactly 7 cm²?
- A
- B
- C
- D
Choose the right picture
Answer:
6.A shape on squared paper (each square 1 cm²) is 6 whole squares and 6 half squares. What is its area?
- A. 6 cm²
- B. 9 cm²
- C. 12 cm²
- D. 18 cm²
Choose the right answer
Answer:
7.Each square on the paper is 1 cm². The shape's area is 10 cm².
True or false?
Answer:
8.Each square on the paper is 1 cm². Which shape has an area of exactly 6 cm²?
- A
- B
- C
- D
Choose the right picture
Answer:
9.Each square on the paper is 1 cm². The shape's area is 14 cm².
True or false?
Answer:
10.Each square on the paper is 1 cm². Which shape has an area of exactly 8 cm²?
- A
- B
- C
- D
Choose the right picture
Answer:
11.A shape on squared paper (each square 1 cm²) is 19 whole squares and 2 half squares. What is its area?
- A. 23 cm²
- B. 20 cm²
- C. 19 cm²
- D. 21 cm²
Choose the right answer
Answer:
12.Each square on the paper is 1 cm². The shape's area is 18 cm².
True or false?
Answer:

13.Chi-keung covers this shape on squared paper exactly with square stickers 1 cm a side. How many stickers does it take?
Working:
Answer:
14.A park's flower bed is drawn on squared paper, each square standing for 1 m². What is the bed's area in m²?
Working:
Answer:
15.A lawn is drawn on squared paper, each square standing for 1 m². Turf costs $18 a square metre. How much does turfing the whole lawn cost?
Working:
Answer:
16.Tsz-ching covers this shape on squared paper exactly with square stickers 1 cm a side. How many stickers does it take?
Working:
Answer:
17.A lawn is drawn on squared paper, each square standing for 1 m². Turf costs $26 a square metre. How much does turfing the whole lawn cost?
Working:
Answer:
18.May covers this shape on squared paper exactly with square stickers 1 cm a side. How many stickers does it take?
Working:
Answer:

Show the answers and working

Counting squares for area worksheet: Answers and working

1. 8 cm²
Area counts squares. Count column by column, then add the columns.
Column by column: 2 + 1 + 2 + 3 = 8 squares, so 8 cm².
2. 14 cm²
Count the whole squares first, then the halves; two halves make 1 square.
13 whole squares and 2 halves, two halves to a square: 14 cm².
3. 6
Find the tallest column first. In the rectangle, every column gets filled up to that height.
The smallest rectangle is 4 wide and 5 tall: 4 × 5, less the squares already there, is 6.

4. C. 8 cm²
Area counts squares, not edges. Count column by column and add.
Column by column: 2 + 1 + 2 + 3 = 8 squares, so the area is 8 cm².
5. C
Count each shape's squares column by column and see which comes to exactly 7.
Count each shape's squares: the one with exactly 7 is the answer.
6. B. 9 cm²
The 6 whole squares stay as they are. Think how many whole squares the 6 halves make.
6 halves make 6 ÷ 2 squares; add the 6 whole ones.
7. True
Area counts squares, not edges. Count the squares column by column and compare with 10.
Area counts squares: 10 of them; 16 is the number of edge pieces, the perimeter.
8. C
Count each shape's squares column by column and see which comes to exactly 6.
Count each shape's squares: the one with exactly 6 is the answer.
9. False
Area counts squares, not edges. Count the squares column by column and compare with 14.
Area counts squares: 8 of them; 14 is the number of edge pieces, the perimeter.
10. D
Count each shape's squares column by column and see which comes to exactly 8.
Count each shape's squares: the one with exactly 8 is the answer.
11. B. 20 cm²
The 19 whole squares stay as they are. Think how many whole squares the 2 halves make.
2 halves make 2 ÷ 2 squares; add the 19 whole ones.
12. False
Area counts squares, not edges. Count the squares column by column and compare with 18.
Area counts squares: 10 of them; 18 is the number of edge pieces, the perimeter.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 13 stickers
Each sticker covers exactly 1 square, so count the shape's squares, column by column.
Each sticker is one square: count the squares, 13.
14. 8 m²
Count the whole squares first, then the halves; two halves together make 1 m².
The whole squares plus the halves, two to a square: 8 m².
15. 126 dollars
Count the squares to find the lawn's area first, then use the $18 per square metre.
Counting gives 7 m², and 7 × 18 = $126.
16. 14 stickers
Each sticker covers exactly 1 square, so count the shape's squares, column by column.
Each sticker is one square: count the squares, 14.
17. 208 dollars
Count the squares to find the lawn's area first, then use the $26 per square metre.
Counting gives 8 m², and 8 × 26 = $208.
18. 10 stickers
Each sticker covers exactly 1 square, so count the shape's squares, column by column.
Each sticker is one square: count the squares, 10.

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