Curriculum›4B›Chapter 11

Chapter 11: Practice examination

37 questions · 79 points

Independent exam: solutions are on a separate page; do not open until finished. Include units and explain reasoning. There is no mandatory time limit.
Question 1 · perimeter · 2 points

A rectangle measures 12 cm by 7 cm. Find its perimeter.

Question 2 · composite area · 2 points

An outer 7-by-5 rectangle has a 4-by-3 rectangular corner removed. Find the remaining area in square units.

Outer 7×5; missing 4×3
Question 3 · composite perimeter · 2 points

A 13-by-5 rectangle has a 8-by-3 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 4 · inverse area · 2 points

A rectangular garden has area 44 m² and width 4 m. Find its length.

Question 5 · reasoning · 3 points

A 13-by-7 rectangle has a 8-by-5 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure. Explain why your units and method are appropriate.

Question 6 · perimeter · 2 points

A rectangle measures 4 cm by 11 cm. Find its perimeter.

Question 7 · composite perimeter · 2 points

A 12-by-7 rectangle has a 2-by-2 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 8 · composite perimeter · 2 points

A 8-by-6 rectangle has a 1-by-4 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 9 · inverse area · 2 points

A rectangular garden has area 77 m² and width 7 m. Find its length.

Question 10 · perimeter · 2 points

A rectangle measures 11 cm by 3 cm. Find its perimeter.

Question 11 · composite area · 2 points

An outer 11-by-8 rectangle has a 3-by-2 rectangular corner removed. Find the remaining area in square units.

Outer 11×8; missing 3×2
Question 12 · perimeter · 2 points

A rectangle measures 11 cm by 8 cm. Find its perimeter.

Question 13 · area · 2 points

A rectangle has 4 rows of 3 unit squares. What is its area?

4 rows, 3 columns
Question 14 · area · 2 points

A rectangle has 3 rows of 3 unit squares. What is its area?

3 rows, 3 columns
Question 15 · inverse area · 2 points

A rectangular garden has area 48 m² and width 4 m. Find its length.

Question 16 · reasoning · 3 points

A rectangle has sides 6 m and 6 m. A student gives area 36 m² as its perimeter. Explain the correction. Explain why your units and method are appropriate.

Question 17 · inverse area · 2 points

A rectangular garden has area 54 m² and width 6 m. Find its length.

Question 18 · inverse area · 2 points

A rectangular garden has area 36 m² and width 6 m. Find its length.

Question 19 · area · 2 points

A rectangle has 5 rows of 9 unit squares. What is its area?

5 rows, 9 columns
Question 20 · inverse area · 2 points

A rectangular garden has area 121 m² and width 11 m. Find its length.

Question 21 · area · 2 points

A rectangle has 5 rows of 8 unit squares. What is its area?

5 rows, 8 columns
Question 22 · area · 2 points

A rectangle has 6 rows of 7 unit squares. What is its area?

6 rows, 7 columns
Question 23 · reasoning · 3 points

An outer 11-by-8 rectangle has a 5-by-4 rectangular corner removed. Find the remaining area in square units. Explain why your units and method are appropriate.

Outer 11×8; missing 5×4
Question 24 · composite area · 2 points

An outer 8-by-9 rectangle has a 4-by-4 rectangular corner removed. Find the remaining area in square units.

Outer 8×9; missing 4×4
Question 25 · area · 2 points

A rectangle has 6 rows of 8 unit squares. What is its area?

6 rows, 8 columns
Question 26 · composite perimeter · 2 points

A 13-by-9 rectangle has a 1-by-2 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 27 · reasoning · 3 points

A rectangle has 4 rows of 8 unit squares. What is its area? Explain why your units and method are appropriate.

4 rows, 8 columns
Question 28 · inverse area · 2 points

A rectangular garden has area 80 m² and width 8 m. Find its length.

Question 29 · composite perimeter · 2 points

A 13-by-5 rectangle has a 9-by-1 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 30 · composite area · 2 points

An outer 9-by-9 rectangle has a 4-by-4 rectangular corner removed. Find the remaining area in square units.

Outer 9×9; missing 4×4
Question 31 · composite perimeter · 2 points

A 8-by-6 rectangle has a 2-by-2 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 32 · composite area · 2 points

An outer 10-by-8 rectangle has a 5-by-5 rectangular corner removed. Find the remaining area in square units.

Outer 10×8; missing 5×5
Question 33 · composite perimeter · 2 points

A 14-by-10 rectangle has a 12-by-1 corner notch removed (the notch touches the top-right corner). Find the perimeter of the L-shaped figure.

Question 34 · perimeter · 2 points

A rectangle measures 7 cm by 8 cm. Find its perimeter.

Question 35 · reasoning · 3 points

A floor covers 54 square tiles in 6 equal columns. How many rows? Explain why your units and method are appropriate.

Question 36 · perimeter · 2 points

A rectangle measures 9 cm by 6 cm. Find its perimeter.

Question 37 · composite area · 2 points

An outer 9-by-7 rectangle has a 7-by-5 rectangular corner removed. Find the remaining area in square units.

Outer 9×7; missing 7×5