Tia ate 3/4 of her sandwich at lunch. Sam ate 3/8 of a sandwich that was the same size. Which statement is true?

3/4 > 3/8, because fourths are larger than eighths.

3/8 > 3/4, because 8 is greater than 4.

3/4 = 3/8, because both have 3 parts.

3/4 < 3/8, because fourths are smaller than eighths.

Kai ran 5/8 of a lap around the track. Lina ran 5/6 of a lap around the same track. Which statement is true?

5/6 > 5/8 because sixths are larger parts than eighths.

5/6 < 5/8 because 8 is greater than 6.

5/6 = 5/8 because both have 5 parts.

5/8 > 5/6 because eighths are larger parts than sixths.

STAAR Grade 3 Math

Free STAAR Grade 3 Math Practice Questions

10 sample questions for the STAAR Grade 3 Math, with the correct answer and an explanation for each. No account needed. Try each one before you open the answer.

Sections covered on the exam: Number and Operations, Algebraic Reasoning, Geometry and Measurement, Data Analysis, Personal Financial Literacy.

Question 1 · Number and Operations
The city library has 45,308 books on its shelves. Which shows 45,308 written in expanded notation?
- A.40,000 + 5,000 + 30 + 8
- B.4,000 + 500 + 30 + 8
- C.40,000 + 5,000 + 300 + 8
- D.40,000 + 5,000 + 300 + 80
Show answer and explanation
Answer: C. 40,000 + 5,000 + 300 + 8
45,308 has 4 ten thousands, 5 thousands, 3 hundreds, 0 tens, and 8 ones. The 0 holds the tens place, so the 3 is worth 300 and the 8 is worth 8. In expanded notation, 45,308 = 40,000 + 5,000 + 300 + 8.
Question 2 · Number and Operations
Mr. Hall set up chairs for the class play in the array shown. Which equation does the array represent?
- A.4 + 7 = 11
- B.4 × 8 = 32
- C.3 × 7 = 21
- D.4 × 7 = 28
Show answer and explanation
Answer: D. 4 × 7 = 28
The array has 4 rows with 7 chairs in each row. Equal rows can be shown with multiplication. The equation is 4 × 7 = 28.
Question 3 · Number and Operations
Tia ate 3/4 of her sandwich at lunch. Sam ate 3/8 of a sandwich that was the same size. Which statement is true?
- A.3/8 > 3/4, because 8 is greater than 4.
- B.3/4 > 3/8, because fourths are larger than eighths.
- C.3/4 = 3/8, because both have 3 parts.
- D.3/4 < 3/8, because fourths are smaller than eighths.
Show answer and explanation
Answer: B. 3/4 > 3/8, because fourths are larger than eighths.
Both fractions have 3 parts, so compare the size of the parts. A whole cut into 4 equal parts has larger pieces than a whole cut into 8 equal parts. So 3/4 > 3/8, because fourths are larger than eighths.
Question 4 · Algebraic Reasoning
Mr. Reed set up 4 rows of chairs with 6 chairs in each row for a library story time. Which arrangement uses the same number of chairs?
- A.5 rows of 5 chairs
- B.2 rows of 10 chairs
- C.4 rows of 7 chairs
- D.3 rows of 8 chairs
Show answer and explanation
Answer: D. 3 rows of 8 chairs
Mr. Reed used 4 × 6 = 24 chairs. 5 × 5 = 25, 2 × 10 = 20, and 4 × 7 = 28. Only 3 × 8 = 24, so 3 rows of 8 chairs uses the same number.
Question 5 · Geometry and Measurement
The reading carpet in Room 12 is a rectangle with an area of 42 square feet. The carpet is 7 feet long. How many feet wide is the carpet?
- A.35 feet
- B.49 feet
- C.14 feet
- D.6 feet
Show answer and explanation
Answer: D. 6 feet
The area of a rectangle is length × width. So 7 × width = 42. Since 7 × 6 = 42, the carpet is 6 feet wide.
Question 6 · Number and Operations
The city zoo had 46,208 visitors last month. What is the value of the digit 6 in this number?
- A.600
- B.60,000
- C.6,000
- D.6
Show answer and explanation
Answer: C. 6,000
The 6 in 46,208 is in the thousands place. Its value is 6 × 1,000. The value of the digit 6 is 6,000.
Question 7 · Number and Operations
The array shows how the band members stood for a picture at a community parade. Which equation represents the array?
- A.5 + 6 = 11
- B.5 × 7 = 35
- C.4 × 6 = 24
- D.5 × 6 = 30
Show answer and explanation
Answer: D. 5 × 6 = 30
The array has 5 rows with 6 band members in each row. Equal rows mean multiplication. 5 × 6 = 30 band members.
Question 8 · Number and Operations
Kai ran 5/8 of a lap around the track. Lina ran 5/6 of a lap around the same track. Which statement is true?
- A.5/6 < 5/8 because 8 is greater than 6.
- B.5/6 > 5/8 because sixths are larger parts than eighths.
- C.5/6 = 5/8 because both have 5 parts.
- D.5/8 > 5/6 because eighths are larger parts than sixths.
Show answer and explanation
Answer: B. 5/6 > 5/8 because sixths are larger parts than eighths.
Both fractions have 5 parts of the same whole. When the whole is cut into 6 parts, each part is larger than when it is cut into 8 parts. So 5/6 > 5/8 because sixths are larger parts than eighths.
Question 9 · Algebraic Reasoning
A farmer packs 6 boxes with 4 melons in each box. Which expression has the same value as 6 × 4?
- A.6 + 4 + 4
- B.5 × 5
- C.8 × 4
- D.3 × 8
Show answer and explanation
Answer: D. 3 × 8
6 × 4 = 24. Check each expression: 3 × 8 = 24, 6 + 4 + 4 = 14, 5 × 5 = 25, and 8 × 4 = 32. So 3 × 8 has the same value as 6 × 4.
Question 10 · Geometry and Measurement
A community garden has two rectangular flower beds. One bed is 8 feet long and 5 feet wide. The other bed is 6 feet long and 3 feet wide. What is the total area of the two flower beds?
- A.22 square feet
- B.44 square feet
- C.40 square feet
- D.58 square feet
Show answer and explanation
Answer: D. 58 square feet
Find the area of each bed: 8 × 5 = 40 square feet and 6 × 3 = 18 square feet. Add the areas: 40 + 18 = 58. The total area is 58 square feet.

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