3B · Chapter 13 · consolidation
Practice A
Original cumulative chapter practice to consolidate taught ideas.
Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.
Assessment · 18 questions
Questions
Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.
- A1
A rectangular garden covers 2 rows of 5 equal unit squares. Find its area.
Reveal explanation
Answer: 10 square units
There are 2 rows of 5 equal square units: 5 × 2 = 10 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A2
A tiled mat is 6 square units across and 4 square units down. How many unit squares cover it?
Reveal explanation
Answer: 24 square units
There are 4 rows of 6 equal square units: 6 × 4 = 24 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A3
A rectangle is 3 unit squares across and 2 unit squares down. What is its area?
Reveal explanation
Answer: 6 square units
There are 2 rows of 3 equal square units: 3 × 2 = 6 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A4
A 7-by-5 rectangle has a 4-by-3 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 23 square units
Whole rectangle: 7 × 5 = 35. Missing corner: 4 × 3 = 12. Remaining: 35 − 12 = 23.
Square-unit grid; count only visible squares without gaps or overlap. - A5
A rectangular garden covers 5 rows of 6 equal unit squares. Find its area.
Reveal explanation
Answer: 30 square units
There are 5 rows of 6 equal square units: 6 × 5 = 30 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A6
A tiled mat is 6 square units across and 6 square units down. How many unit squares cover it?
Reveal explanation
Answer: 36 square units
There are 6 rows of 6 equal square units: 6 × 6 = 36 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A7
A rectangle is 6 unit squares across and 6 unit squares down. What is its area?
Reveal explanation
Answer: 36 square units
There are 6 rows of 6 equal square units: 6 × 6 = 36 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A8
A 3-by-6 rectangle has a 1-by-5 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 13 square units
Whole rectangle: 3 × 6 = 18. Missing corner: 1 × 5 = 5. Remaining: 18 − 5 = 13.
Square-unit grid; count only visible squares without gaps or overlap. - A9
A rectangular garden covers 6 rows of 3 equal unit squares. Find its area.
Reveal explanation
Answer: 18 square units
There are 6 rows of 3 equal square units: 3 × 6 = 18 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A10
A tiled mat is 5 square units across and 3 square units down. How many unit squares cover it?
Reveal explanation
Answer: 15 square units
There are 3 rows of 5 equal square units: 5 × 3 = 15 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A11
A rectangle is 9 unit squares across and 5 unit squares down. What is its area?
Reveal explanation
Answer: 45 square units
There are 5 rows of 9 equal square units: 9 × 5 = 45 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A12
A 6-by-4 rectangle has a 4-by-1 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 20 square units
Whole rectangle: 6 × 4 = 24. Missing corner: 4 × 1 = 4. Remaining: 24 − 4 = 20.
Square-unit grid; count only visible squares without gaps or overlap. - A13
A rectangular garden covers 6 rows of 8 equal unit squares. Find its area.
Reveal explanation
Answer: 48 square units
There are 6 rows of 8 equal square units: 8 × 6 = 48 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A14
A tiled mat is 8 square units across and 4 square units down. How many unit squares cover it?
Reveal explanation
Answer: 32 square units
There are 4 rows of 8 equal square units: 8 × 4 = 32 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A15
A rectangle is 5 unit squares across and 5 unit squares down. What is its area?
Reveal explanation
Answer: 25 square units
There are 5 rows of 5 equal square units: 5 × 5 = 25 square units.
Square-unit grid; count only visible squares without gaps or overlap. - A16
A 3-by-2 rectangle has a 2-by-1 corner removed. Find the remaining area in square units.
Reveal explanation
Answer: 4 square units
Whole rectangle: 3 × 2 = 6. Missing corner: 2 × 1 = 2. Remaining: 6 − 2 = 4.
Square-unit grid; count only visible squares without gaps or overlap. - A17
A student says a rectangle with area 20 square units must have perimeter 20 units. Explain why this is not generally true using a 5-by-4 example.
Reveal explanation
Answer: Perimeter 18 units
The area is 5 × 4 = 20 square units, but its perimeter is 2 × (5+4) = 18 units. Area and perimeter measure different things.
- A18
A 4-by-4 rectangle and a 1-by-16 rectangle have the same area. Must they have the same perimeter?
Reveal explanation
Answer: No
Both areas are equal, but different side dimensions usually give different boundary lengths.