Perimeter, area and volume · Ages 9–10
What area is worksheet
Part of: Perimeter and area
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What area is worksheet
Perimeter, area and volume · Ages 9–10
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Taking one small square as the unit, how many small squares is this shape's area?
Answer:
2.A desk top holds exactly 6 storybooks of the same size laid flat, and each cover is 19 small squares big. How many small squares is the desk top?
Answer:
3.A desk top holds exactly 3 storybooks of the same size laid flat, and each cover is 15 small squares big. How many small squares is the desk top?
Answer:
4.A desk top holds exactly 4 storybooks of the same size laid flat, and each cover is 10 small squares big. How many small squares is the desk top?
Answer:
Part B: Choose, or true or false (2 marks each)
5.Taking one small square as the unit, which shape has the biggest area?
- A
- B
- C
- D
Choose the right picture
Answer:
6.A living room is 5 m long and 6 m wide. Which unit suits its floor area best?
- A. Metres
- B. Square metres
- C. Centimetres
- D. Square centimetres
Choose the right answer
Answer:
7.Sheet A is laid on sheet B. A covers B completely, with some of A sticking out. Which sheet has the bigger area?
- A. A
- B. The same
- C. Can't tell
- D. B
Choose the right answer
Answer:
8.A table top can be covered exactly by 12 red cards, or exactly by 22 blue cards. Each red card is bigger than each blue card.
True or false?
Answer:
9.A table top can be covered exactly by 6 red cards, or exactly by 28 blue cards. Each red card is bigger than each blue card.
True or false?
Answer:
10.A living room is 4 m long and 6 m wide. Which unit suits its floor area best?
- A. Metres
- B. Square centimetres
- C. Square metres
- D. Centimetres
Choose the right answer
Answer:
11.A table top can be covered exactly by 29 red cards, or exactly by 28 blue cards. Each red card is bigger than each blue card.
True or false?
Answer:
12.A living room is 8 m long and 6 m wide. Which unit suits its floor area best?
- A. Square metres
- B. Square centimetres
- C. Centimetres
- D. Metres
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.Tsz-hin's bedroom floor takes exactly 55 tiles, and Ka-lok's takes exactly 28 of the same tiles. By how many tiles do the floor areas differ?
Working:
Answer:
14.A wall takes exactly 8 big posters. Each big poster is the area of 6 small ones. How many small posters does the wall take exactly?
Working:
Answer:
15.A corridor floor is covered exactly by 11 rows of 10 tiles. With one tile as the unit, what is the floor's area?
Working:
Answer:
16.A wall takes exactly 3 big posters. Each big poster is the area of 4 small ones. How many small posters does the wall take exactly?
Working:
Answer:
17.May's bedroom floor takes exactly 54 tiles, and Tsz-hin's takes exactly 45 of the same tiles. By how many tiles do the floor areas differ?
Working:
Answer:
18.A corridor floor is covered exactly by 9 rows of 9 tiles. With one tile as the unit, what is the floor's area?
Working:
Answer:
Show the answers and working
What area is worksheet: Answers and working
Part A: Working out and filling in
1. 11 small squares
The area is how many small squares the shape takes up. Count column by column, then add.
Column by column: 3 + 4 + 4 = 11, so the area is 11 small squares.
2. 114 small squares
Each book takes 19 small squares and the desk holds 6 books: how do you find the total?
19 squares a book, so 6 books are 6 × 19 = 114 squares.
3. 45 small squares
Each book takes 15 small squares and the desk holds 3 books: how do you find the total?
15 squares a book, so 3 books are 3 × 15 = 45 squares.
4. 40 small squares
Each book takes 10 small squares and the desk holds 4 books: how do you find the total?
10 squares a book, so 4 books are 4 × 10 = 40 squares.
Part B: Choose, or true or false
5. A
Every shape uses the same small square: count each one column by column, then compare.
Count each shape's squares: the most is 11, the biggest area.
6. B. Square metres
First ask whether it's a length or an area you're measuring, then think how big a floor is.
A floor is big: square metres (squares 1 m a side) suit it best.
7. A. A
When sheets are laid together, notice which is covered completely and which sticks out.
A covers all of B with some to spare, so A has the bigger area.
8. True
For the same table top, the more cards it takes, the smaller each card is. See which is more, 12 or 22.
For the same table, the fewer cards it takes, the bigger each card. It takes 12 red or 22 blue; 12 is fewer than 22, so the kind that takes 12 has the bigger cards.
9. True
For the same table top, the more cards it takes, the smaller each card is. See which is more, 6 or 28.
For the same table, the fewer cards it takes, the bigger each card. It takes 6 red or 28 blue; 6 is fewer than 28, so the kind that takes 6 has the bigger cards.
10. C. Square metres
First ask whether it's a length or an area you're measuring, then think how big a floor is.
A floor is big: square metres (squares 1 m a side) suit it best.
11. False
For the same table top, the more cards it takes, the smaller each card is. See which is more, 29 or 28.
For the same table, the fewer cards it takes, the bigger each card. It takes 29 red or 28 blue; 28 is fewer than 29, so the kind that takes 28 has the bigger cards.
12. A. Square metres
First ask whether it's a length or an area you're measuring, then think how big a floor is.
A floor is big: square metres (squares 1 m a side) suit it best.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 27 tiles
Both rooms use the same tiles, so comparing the areas means comparing 55 and 28.
With the same tile as the unit, compare the counts: 27 apart.
14. 48 posters
Change the big posters into small ones first: one big poster is 6 small ones.
Each big poster is 6 small ones: 8 × 6 = 48.
15. 110 tiles
The tiles sit in 11 rows of 10, just like an array for multiplication.
10 a row, 11 rows: 11 × 10 = 110.
16. 12 posters
Change the big posters into small ones first: one big poster is 4 small ones.
Each big poster is 4 small ones: 3 × 4 = 12.
17. 9 tiles
Both rooms use the same tiles, so comparing the areas means comparing 54 and 45.
With the same tile as the unit, compare the counts: 9 apart.
18. 81 tiles
The tiles sit in 9 rows of 9, just like an array for multiplication.
9 a row, 9 rows: 9 × 9 = 81.
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