Hiking Group 0 1 2 3 4 5 0 2 4 6 8 10 12 14 Hours, x Miles, y The graph shows the number of miles, y, a hiking group walked in x hours. Which statement describes the relationship shown in the graph?

The number of miles is 3 times the number of hours.

The number of miles is 3 more than the number of hours.

The number of hours is 3 times the number of miles.

The number of miles increases by 1 for each hour.

STAAR Grade 5 Math

Free STAAR Grade 5 Math Practice Questions

10 sample questions for the STAAR Grade 5 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
A box of books in the school library weighs 23.507 kilograms. Which shows 23.507 written in expanded notation?
- A.20 + 3 + 0.5 + 0.007
- B.20 + 3 + 0.5 + 0.07
- C.2 + 3 + 0.5 + 0.007
- D.20 + 3 + 0.05 + 0.007
Show answer and explanation
Answer: A. 20 + 3 + 0.5 + 0.007
23.507 has 2 tens, 3 ones, 5 tenths, 0 hundredths, and 7 thousandths. The 7 is in the thousandths place, so its value is 0.007, not 0.07. In expanded notation, 23.507 = 20 + 3 + 0.5 + 0.007.
Question 2 · Number and Operations
A bakery started the day with 20 kilograms of flour. Each loaf of bread uses 0.75 kilogram of flour. The bakery baked 18 loaves. How many kilograms of flour were left?
- A.7.5
- B.13.5
- C.19.25
- D.6.5
Show answer and explanation
Answer: D. 6.5
First find the flour used: 18 × 0.75 = 13.5 kilograms. Then subtract from the starting amount: 20 − 13.5 = 6.5. There were 6.5 kilograms of flour left.
Question 3 · Number and Operations
There are 30 students going on a field trip. Each student chooses one place to visit. Exactly 2/5 of the students chose the science museum. How many students chose the science museum?
- A.12
- B.6
- C.18
- D.75
Show answer and explanation
Answer: A. 12
Find 2/5 of 30 by multiplying 30 × 2/5. One fifth of 30 is 30 ÷ 5 = 6, so two fifths is 2 × 6 = 12. Twelve students chose the science museum, or 12.
Question 4 · Algebraic Reasoning
The graph shows the number of eggs, y, used to make x batches of pancakes for a community center breakfast. Which rule matches the points on the graph?
- A.y = x + 4
- B.y = x + 6
- C.y = 2 × x
- D.y = 3 × x
Show answer and explanation
Answer: D. y = 3 × x
The points are (2, 6), (4, 12), and (6, 18). Each y-value is 3 times its x-value: 3 × 2 = 6, 3 × 4 = 12, and 3 × 6 = 18. The rule y = x + 4 works only for (2, 6). The rule is y = 3 × x.
Question 5 · Geometry and Measurement
Field Trip Schedule
Activity Time
Science museum 1 hour 50 minutes
Lunch 45 minutes
Park 2 hours 20 minutes
The table shows how long a class spent at each stop on a field trip. What is the total amount of time the class spent at these three stops?
- A.3 hours 55 minutes
- B.4 hours 15 minutes
- C.4 hours 55 minutes
- D.5 hours 15 minutes
Show answer and explanation
Answer: C. 4 hours 55 minutes
Add the hours: 1 + 2 = 3 hours. Add the minutes: 50 + 45 + 20 = 115 minutes. Since 60 minutes = 1 hour, 115 minutes = 1 hour 55 minutes. The total is 3 hours + 1 hour 55 minutes = 4 hours 55 minutes.
Question 6 · Number and Operations
At a city track meet, Marisol ran the 400-meter race in 52.384 seconds. What is the value of the digit 8 in her time?
- A.0.8
- B.0.08
- C.8
- D.0.008
Show answer and explanation
Answer: B. 0.08
The 8 is in the hundredths place, the second place to the right of the decimal point. Its value is 8 × 0.01, which is 0.08.
Question 7 · Number and Operations
Lucia had $50.00 to spend at a camping store. She bought a lantern for $18.79 and batteries for $6.45. How much money did she have left?
- A.$25.24
- B.$24.76
- C.$34.76
- D.$75.24
Show answer and explanation
Answer: B. $24.76
First add the costs: $18.79 + $6.45 = $25.24. Then subtract from $50.00: $50.00 − $25.24 = $24.76.
Question 8 · Number and Operations
A 15-kilometer race has a water station after 2/5 of the distance. How many kilometers from the start is the water station?
- A.15 2/5 kilometers
- B.37 1/2 kilometers
- C.3 kilometers
- D.6 kilometers
Show answer and explanation
Answer: D. 6 kilometers
Find 2/5 × 15. One fifth of 15 is 15 ÷ 5 = 3, so two fifths is 2 × 3. The water station is 6 kilometers from the start.
Question 9 · Algebraic Reasoning
The graph shows the number of miles, y, a hiking group walked in x hours. Which statement describes the relationship shown in the graph?
- A.The number of miles is 3 more than the number of hours.
- B.The number of hours is 3 times the number of miles.
- C.The number of miles increases by 1 for each hour.
- D.The number of miles is 3 times the number of hours.
Show answer and explanation
Answer: D. The number of miles is 3 times the number of hours.
The points are (1, 3), (2, 6), (3, 9), and (4, 12). Each y-value is 3 times its x-value, so the rule is y = 3 × x. The number of miles is 3 times the number of hours.
Question 10 · Geometry and Measurement
Movie night at a campground lasted 2 hours 10 minutes. The first movie lasted 1 hour 35 minutes. The second movie started right after the first and ended when movie night ended. How long was the second movie?
- A.1 hour 25 minutes
- B.75 minutes
- C.35 minutes
- D.3 hours 45 minutes
Show answer and explanation
Answer: C. 35 minutes
Change 2 hours 10 minutes to 1 hour 70 minutes, since 1 hour = 60 minutes. Subtract: 1 hour 70 minutes − 1 hour 35 minutes = 0 hours 35 minutes. The second movie was 35 minutes long.

Field Trip Schedule
Activity	Time
Science museum	1 hour 50 minutes
Lunch	45 minutes
Park	2 hours 20 minutes

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