Area Mastery Test Form A Math.3rdGrade.Unit3.Review — Form A
Name:
This square is one square unit.
= 1 square unit
Which of the figures below have areas of 16 square units? Select all that apply.
A.
B.
C.
D.
E.
3.MD.C.5a
Look at the equation shown.
\( 32 \div \square = 8 \)
Which equation could help find the unknown value?
A. \( 8 \times \square = 32 \), and the unknown value is 8.
B. \( \square + 8 = 32 \), and the unknown value is 24.
C. \( 32 + 8 = \square \), and the unknown value is 40.
D. \( 8 \times \square = 32 \), and the unknown value is 4.
3.OA.B.6
Use this diagram to solve the problem.
Write the area, in square units, of the shaded shape.
square units
= 1 square unit
3.MD.C.6
Marcus wants to buy a rug that has an area greater than 30 square feet but less than 35 square feet. Which rug should Marcus buy?
A. 9 ft
4 ft
4 ft
9 ft
B. 8 ft
4 ft
4 ft
8 ft
C. 6 ft
4 ft
4 ft
6 ft
D. 10 ft
4 ft
4 ft
10 ft
3.MD.C.7b
Look at the shape below.
Which shape has the same area as the shape shown?
A.
B.
C.
D.
3.MD.C.6
This figure is tiled with square units.
Which expression could be used to find the area of this figure in square units?
A. 5 + 6 + 5 + 6
B. 5 + 6
C. 5 × 6
D. 5 × 6 × 5 × 6
3.MD.C.7a
Maya wrote the problem shown below.
\( (7 \times 4) + (7 \times 6) \)
What is another way that Maya can write this problem?
A. 14 + 10
B. 7 × 10
C. 11 × 10
D. 7 + 10
3.OA.B.5
Carlos wants to find the area of a garden. The garden has a flower section and a vegetable section.
= 1 sq m
Which expression shows the area of the garden?
A. (5 × 4) + (5 × 5)
B. (9 × 5) + (4 × 5)
C. (5 + 4) × (5 + 5)
D. (9 + 5) × (4 + 5)
3.MD.C.7c
What is the area of this figure?
= 1 square unit
A. 12 square units
B. 10 square units
C. 8 square units
D. 3 square units
3.MD.C.5b
This figure is made by joining two rectangles.
3 m 6 m 2 m 5 m 2 m 8 m
Write the total area, in square meters, of the figure.
Area =
square meters
3.MD.C.7d
What unknown number makes the equation true?
\( (4 \times 5) \times \square = 160 \)
Write your answer in the box below.
3.NBT.A.3
Enter the unknown number that makes the equation true.
\( 8 \times 8 = \)
3.OA.C.7
Which expressions are equal to \( 4 \times 3 \times 6 \)? Select ALL that apply.
A. \( 4 \times 6 \times 3 \)
B. \( 6 + 3 + 4 \)
C. \( (3 \times 4) \times 6 \)
D. \( (4 \times 6) + (4 \times 3) \)
E. \( (4 + 3) \times (3 + 6) \)
3.OA.B.5
Which could be used to find the answer to 36 divided by 4?
\( 36 \div 4 = {?} \)
A. \( 4 \times 4 \)
B. \( 36 - 4 \)
C. \( 36 + 4 \)
D. \( 4 \times 9 \)
3.OA.B.6
Ms. Diaz is packing 180 books in boxes. Which ways can she pack all of the books? Choose ALL that are correct.
A. She can pack 2 boxes of 90 books each.
B. She can pack 3 boxes of 60 books each.
C. She can pack 9 boxes of 30 books each.
D. She can pack 60 boxes of 3 books each.
E. She can pack 90 boxes of 90 books each.
3.NBT.A.3
What is the product?
\( 9 \times 3 = {?} \)
A. 12
B. 24
C. 27
D. 93
3.OA.C.7
Area Mastery Test Form B Math.3rdGrade.Unit3.Review — Form B
Name:
This square is one square unit.
= 1 square unit
Which of the figures below have areas of 18 square units? Select all that apply.
A.
B.
C.
D.
E.
3.MD.C.5a
Look at the equation shown.
\( 28 \div \square = 4 \)
Which equation could help find the unknown value?
A. \( 4 \times \square = 28 \), and the unknown value is 4.
B. \( \square + 4 = 28 \), and the unknown value is 24.
C. \( 28 + 4 = \square \), and the unknown value is 32.
D. \( 4 \times \square = 28 \), and the unknown value is 7.
3.OA.B.6
Use this diagram to solve the problem.
Write the area, in square units, of the shaded shape.
square units
= 1 square unit
3.MD.C.6
Jordan wants to buy a banner that has an area greater than 25 square feet but less than 30 square feet. Which banner should Jordan buy?
A. 8 ft
3 ft
3 ft
8 ft
B. 7 ft
4 ft
4 ft
7 ft
C. 6 ft
5 ft
5 ft
6 ft
D. 9 ft
4 ft
4 ft
9 ft
3.MD.C.7b
Look at the shape below.
Which shape has the same area as the shape shown?
A.
B.
C.
D.
3.MD.C.6
This figure is tiled with square units.
Which expression could be used to find the area of this figure in square units?
A. 3 + 8 + 3 + 8
B. 3 + 8
C. 3 × 8
B. 3 × 8 × 3 × 8
3.MD.C.7a
Derrick wrote the problem shown below.
\( (8 \times 5) + (8 \times 2) \)
What is another way that Derrick can write this problem?
A. 16 + 7
B. 8 × 7
C. 15 × 7
D. 8 + 7
3.OA.B.5
Elena wants to find the area of a patio. The patio has a blue tile section and a green tile section.
Area Mastery Key Form A Teacher Key Math.3rdGrade.Unit3.Review — Form A
Questions 1 – 8
Total Items 16 Questions
Standard Focus 3.MD & 3.OA & 3.NBT
Multi-Select Q1, Q13, Q15
Total Points 16 Points
1 Area of 16 square units 3.MD.C.5a
Solution: Choice A has \( 2 \times 8 = 16 \). Choice C has \( 4 \times 4 = 16 \). (Distractors: B = 15, D = 14, E = 18).
A, C
2 Division as unknown factor: \( 32 \div \square = 8 \) 3.OA.B.6
Solution: Multiplication is the inverse of division: \( 8 \times \square = 32 \), where the unknown is 4.
D
3 Area with partial units on grid 3.MD.C.6
Solution: Full inner rectangle is \( 2 \times 4 = 8 \). Top/bottom center squares add 4 (\( 8 + 4 = 12 \)). The 4 corner triangular half-squares equal 2 full squares (\( 4 \times 0.5 = 2 \)). Total area = \( 12 + 2 = 14 \).
14
4 Area constraint: \( > 30 \) and \( < 35 \) sq ft 3.MD.C.7b
Solution: A: \( 9 \times 4 = 36 \) (too large); B: \( 8 \times 4 = 32 \) (satisfies \( 30 < 32 < 35 \)); C: \( 6 \times 4 = 24 \); D: \( 10 \times 4 = 40 \).
B
5 Same area (9 square units) 3.MD.C.6
Solution: The given stepped shape has \( 2 + 3 + 4 = 9 \) square units. Shape B is a \( 3 \times 3 \) square with area \( 9 \). (A = 10, C = 8, D = 11).
B
6 Tiled rectangle area formula 3.MD.C.7a
Solution: Rectangle has 5 rows of 6 squares each: Area = \( \text{rows} \times \text{columns} = 5 \times 6 \). Choice A is perimeter.
C
7 Distributive Property: \( (7 \times 4) + (7 \times 6) \) 3.OA.B.5
Solution: Factor out the common factor of 7: \( 7 \times (4 + 6) = 7 \times 10 \).
B
8 Area of partitioned rectangle 3.MD.C.7c
Solution: Height is 5. Flower section is \( 5 \times 4 \), vegetable section is \( 5 \times 5 \). Combined area = \( (5 \times 4) + (5 \times 5) \).
A
Form A Answer Key • Page 1 of 2
Teacher Key Math.3rdGrade.Unit3.Review — Form A
Questions 9 – 16
9 Area of stacked rectangular figure 3.MD.C.5b
Solution: Top rectangle: 3 units wide by 2 units high = 6 sq units. Bottom base: 4 units wide by 1 unit high = 4 sq units. Total area = \( 6 + 4 = 10 \) square units.
B (10)
10 Decomposing rectilinear figures 3.MD.C.7d
Area Mastery Key Form B Teacher Key Math.3rdGrade.Unit3.Review — Form B
Questions 1 – 8
Total Items 16 Questions
Standard Focus 3.MD & 3.OA & 3.NBT
Multi-Select Q1, Q13, Q15
Total Points 16 Points
1 Area of 18 square units 3.MD.C.5a
Solution: Choice A has \( 3 \times 6 = 18 \). Choice C has \( 2 \times 9 = 18 \). (Distractors: B = 16, D = 15, E = 14).
A, C
2 Division as unknown factor: \( 28 \div \square = 4 \) 3.OA.B.6
Solution: The inverse multiplication problem is \( 4 \times \square = 28 \), where the unknown factor is 7.
D
3 Area with partial units on grid 3.MD.C.6
Solution: The bounding box is 4 units wide by 5 units high (\( 4 \times 5 = 20 \)). Each of the 4 corners has a half-unit triangle removed (\( 4 \times 0.5 = 2 \)). Total area = \( 20 - 2 = 18 \) square units.
18
4 Area constraint: \( > 25 \) and \( < 30 \) sq ft 3.MD.C.7b
Solution: A: \( 8 \times 3 = 24 \); B: \( 7 \times 4 = 28 \) (satisfies \( 25 < 28 < 30 \)); C: \( 6 \times 5 = 30 \) (not strictly less than 30); D: \( 9 \times 4 = 36 \).
B
5 Same area (10 square units) 3.MD.C.6
Solution: Count the squares in the shape: \( 2 + 4 + 4 = 10 \) square units. Shape A is a \( 2 \times 5 \) rectangle with area \( 10 \). (B = 9, C = 8, D = 12).
A
6 Tiled rectangle area formula 3.MD.C.7a
Solution: The figure has 3 rows and 8 columns of square units. Area = \( 3 \times 8 \).
C
7 Distributive Property: \( (8 \times 5) + (8 \times 2) \) 3.OA.B.5
Solution: Using the distributive property, \( (8 \times 5) + (8 \times 2) = 8 \times (5 + 2) = 8 \times 7 \).
B
8 Area of partitioned rectangle 3.MD.C.7c
Solution: Both sections have a height of 4. Blue is \( 4 \times 5 \), green is \( 4 \times 3 \). Total area = \( (4 \times 5) + (4 \times 3) \).
A
Form B Answer Key • Page 1 of 2
Teacher Key Math.3rdGrade.Unit3.Review — Form B
Questions 9 – 16
9 Area of stacked rectangular figure 3.MD.C.5b
Solution: Top rectangle: 2 units wide by 3 units high = 6 sq units. Bottom base: 6 units wide by 1 unit high = 6 sq units. Total area = \( 6 + 6 = 12 \) square units.
B (12)
10 Decomposing rectilinear figures 3.MD.C.7d
