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Area and Multiplication Benchmark

A third-grade math assessment suite focusing on unit square area, rectilinear shapes, multiplication concepts, and the distributive property.

CJCarolyn Jordan

Unit Three Practice Test

Math.3rdGrade.Unit3.Practice-2 Name:

1. This square is one square unit.

= 1 square unit

Which of the figures below have areas of 15 square units? Select all that apply.

A.

B.

C.

D.

E.

3.MD.C.5a

2. Look at the equation shown.

35 ÷ = 7

Which equation could help find the unknown value?

A. 7 × = 35, and the unknown value is 7.

B. + 7 = 35, and the unknown value is 28.

C. 35 + 7 = , and the unknown value is 42.

D. 7 × = 35, and the unknown value is 5.

3.OA.B.6

3. 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

4. Marcus wants to buy a rug that has an area greater than 25 square feet but less than 32 square feet. Which rug should Marcus buy?

A. 8 ft 8 ft 4 ft 4 ft

B. 4 ft 4 ft 5 ft 5 ft

C. 7 ft 7 ft 4 ft 4 ft

D. 6 ft 6 ft 3 ft 3 ft

3.MD.C.7b

5. Look at the shape below.

Which shape has the same area as the shape shown?

A.

B.

C.

D.

3.MD.C.6

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 + 8 + 5 + 8

B. 5 + 8

C. 5 × 8

D. 5 × 8 × 5 × 8

3.MD.C.7a

7. Nadine wrote the problem shown below.

(7 × 6) + (7 × 4)

What is another way that Nadine can write this problem?

A. 14 + 10

B. 7 × 10

C. 13 × 8

D. 7 + 10

3.OA.B.5

8. Wendy wants to find the area of a playground. The playground has a blue section and a green section.

= 1 sq m

Which expression shows the area of the playground?

A. (5 × 3) + (5 × 6)

B. (9 × 5) + (3 × 5)

C. (5 + 3) × (5 + 6)

D. (9 + 5) × (3 + 5)

3.MD.C.7c

9. What is the area of this figure?

= 1 square unit

A. 14 square units

B. 12 square units

C. 10 square units

D. 2 square units

3.MD.C.5b

10. This figure is made by joining two rectangles.

6 m 3 m 2 m 4 m 7 m 2 m

Write the total area, in square meters, of the figure.

Area = square meters

3.MD.C.7d

11. What unknown number makes the equation true?

(6 × 5) × = 240

Write your answer in the box below.

3.NBT.A.3

12. Enter the unknown number that makes the equation true.

8 × 8 =

3.OA.C.7

13. Which expressions are equal to 4 × 3 × 7?

Select ALL that apply.

A. 4 × 7 × 3

B. 7 + 3 + 4

C. (3 × 4) × 7

D. (4 × 7) + (4 × 3)

E. (4 + 3) × (3 + 7)

3.OA.B.5

14. Which could be used to find the answer to 54 divided by 9?

54 ÷ 9 = ?

A. 9 × 9

B. 54 − 9

C. 54 + 9

D. 9 × 6

3.OA.B.6

15. Ms. Rivera 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 6 boxes of 40 books each.

D. She can pack 20 boxes of 9 books each.

E. She can pack 50 boxes of 50 books each.

3.NBT.A.3

16. What is the product?

9 × 3 = ?

A. 6

B. 12

C. 27

D. 93

3.OA.C.7

Unit Three Answer Key

Teacher Resource • Scoring Guide

Unit 3 Practice Test — Answer Key

Questions 1–8

Grade 3 Math Assessment

Quick Scan (1–8): 1: A, B, D | 2: D | 3: 24 sq units | 4: C | 5: D | 6: C | 7: B | 8: A

Question 1 3.MD.C.5a

Correct: A, B, D

Target area is 15 square units.

A: 5 × 3 = 15 sq units (Correct)
B: 3 × 5 = 15 sq units (Correct)
C: 4 × 4 = 16 sq units (1 too many)
D: 5 × 3 = 15 sq units (Correct)
E: 3 × 4 = 12 sq units (3 too few)

Award 1 pt for all 3 correct selections; no partial credit.

Question 2 3.OA.B.6

Correct: D

Equation: 35 ÷ □ = 7.

Multiplication is the inverse of division: 7 × 5 = 35, so 35 ÷ 5 = 7.

A: Incorrect fact: 7 × 7 = 49 ≠ 35.
B & C: Confuses division with subtraction or addition.

Focus: Division as an unknown-factor problem.

Question 3 3.MD.C.6

Correct: 24 (or 24 square units)

Decompose the shaded shape by horizontal rows:

Row 1: 2 units • Row 2: 4 units
Row 3: 6 units • Row 4: 6 units
Row 5: 4 units • Row 6: 2 units
Total = 2 + 4 + 6 + 6 + 4 + 2 = 24

Students can count unit squares directly or add row areas.

Question 4 3.MD.C.7b

Correct: C

Condition: 25 < Area < 32 square feet.

A: 8 × 4 = 32 sq ft (Not < 32)
B: 4 × 5 = 20 sq ft (Too small; < 25)
C: 7 × 4 = 28 sq ft (25 < 28 < 32)
D: 6 × 3 = 18 sq ft (Too small)

Requires comparing area products to inequality bounds.

Question 5 3.MD.C.6

Correct: D

Count given shape: 2 + 3 + 3 + 2 = 10 square units.

A: 6 × 2 = 12 units (Too large)
B: 3 × 3 = 9 units (Too small)

C: U-shape = 7 + 2 + 2 = 11 units

D: 5 × 2 = 10 units (Equal area)

Shapes can look different while having identical areas.

Question 6 3.MD.C.7a

Correct: C

The figure has 5 rows of 8 unit squares.

A: Finds perimeter (5 + 8 + 5 + 8 = 26).
B: Incomplete perimeter (side + side).
C: 5 × 8 = 40 (Area formula).
D: Multiplies all four side lengths.

Common misconception: confusing perimeter with area.

Question 7 3.OA.B.5

Correct: B

Distributive Property over addition:

(7 × 6) + (7 × 4) = 7 × (6 + 4) = 7 × 10 = 70.

A: Adds 7+7 and 6+4 incorrectly.
C & D: Wrong operations or incorrect terms.

Standard: Apply properties of operations to multiply.

Question 8 3.MD.C.7c

Correct: A

Blue: 5 rows × 3 cols = 5 × 3.
Green: 5 rows × 6 cols = 5 × 6.

Total area = (5 × 3) + (5 × 6).

Decomposes a 5 × 9 rectangle into two smaller parts.

Standard: Tiling area using the distributive property.

Page 1 of 2 • Unit 3 Assessment Answer Key

Teacher Resource • Scoring Guide

Unit 3 Practice Test — Answer Key

Questions 9–16

Grade 3 Math Assessment

Quick Scan (9–16): 9: B (12) | 10: 46 sq m | 11: 8 | 12: 64 | 13: A, C | 14: D | 15: A, B, D | 16: C (27)

Question 9 3.MD.C.5b

Correct: B (12 square units)

Top block: 3 × 2 = 6 sq units.
Bottom block: 6 × 1 = 6 sq units.
Total area: 6 + 6 = 12 square units.

Distractor D (2) counts shapes rather than area.

Question 10 3.MD.C.7d

Correct: 46 (or 46 square meters)

Decompose into 2 rectangles:
• Left: 6 m × 3 m = 18 sq m
• Right: 4 m × 7 m = 28 sq m
Total area: 18 + 28 = 46 square meters.

Award 1 pt for exact numeric answer 46.

Question 11 3.NBT.A.3

Correct: 8

Step 1: Simplify: (6 × 5) = 30.
Step 2: Solve 30 × □ = 240.
Since 3 × 8 = 24, 30 × 8 = 240.

Assesses multiplying 1-digit by multiples of 10.

Question 12 3.OA.C.7

Correct: 64

Fact fluency: 8 × 8 = 64.
Strategy: (8 × 5) + (8 × 3) = 40 + 24 = 64.

Core benchmark multiplication fact.

Question 13 3.OA.B.5

Correct: A, C

Target: 4 × 3 × 7 = 84.
• A: 4 × 7 × 3 = 84 (Commutative)
• C: (3 × 4) × 7 = 84 (Associative)

Award 1 pt for both A and C; no partial credit.

Question 14 3.OA.B.6

Correct: D (9 × 6)

To solve 54 ÷ 9 = ?, think 9 × ? = 54.
The matching multiplication fact is 9 × 6.

Division related to multiplication fact families.

Question 15 3.NBT.A.3

Correct: A, B, D

Target: 180 books.
• A: 2 × 90 = 180 • B: 3 × 60 = 180
• D: 20 × 9 = 180. (C = 240, E = 2500)

Award 1 pt for all 3 correct selections (A, B, D).

Question 16 3.OA.C.7

Correct: C (27)

9 × 3 = 27.
A = 6 (9 − 3), B = 12 (9 + 3), D = 93 (digits joined).

Diagnostic distractors isolate operation slips.

Domain & Standard Breakdown Total: 16 points

Operations & Alg. Thinking 3.OA.B.5, 3.OA.B.6, 3.OA.C.7 Questions: 2, 7, 12, 13, 14, 16 (6 pts)

Number & Operations (Base 10) 3.NBT.A.3 (Multiples of 10) Questions: 11, 15 (2 pts)

Measurement & Data 3.MD.C.5a/b, 3.MD.C.6, 3.MD.C.7a-d Questions: 1, 3, 4, 5, 6, 8, 9, 10 (8 pts)

Page 2 of 2 • Unit 3 Assessment Answer Key

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