Washington Grade 5 SBA math review should help students become accurate with multi-digit operations, fractions, decimals, volume, coordinate grids, and multi-step word problems. Grade 5 is also the year when students are expected to explain reasoning more clearly, so written work matters.
OSPI identifies the Smarter Balanced math assessment as part of Washington’s state testing system for Grades 3-8 and 10. Washington’s testing portal describes the summative Smarter Balanced assessments as including a computer adaptive test and a performance task. That means students should practice both direct calculation and longer problem solving.
ViewMath is an independent publisher and is not affiliated with or endorsed by OSPI, Smarter Balanced, Cambium Assessment, or any Washington state assessment program. For official resources, visit OSPI Mathematics Assessment and the Washington assessment portal.
Washington Grade 5 SBA Math Topics
| Topic | What Students Should Practice | Common Trouble Spot |
|---|---|---|
| Whole number operations | Multi-digit multiplication and division | Forgetting place value in long division |
| Fractions | Add, subtract, multiply, compare, and interpret fractions | Adding denominators instead of finding common denominators |
| Decimals | Read, compare, round, add, subtract, multiply, and divide decimals | Misaligning decimal points |
| Measurement | Convert units and solve volume problems | Confusing area with volume |
| Geometry | Classify shapes and use coordinate grids | Reversing x- and y-coordinates |
| Data and word problems | Use tables, graphs, and multi-step reasoning | Stopping after the first operation |
Grade 5 SBA Practice Questions
Operations and Decimals
1. Find 487 x 36.
2. Divide 2,856 by 7.
3. Find 4.62 + 18.9 + 0.735.
4. Round 7.486 to the nearest tenth.
Fractions
5. Find 2/3 + 5/6.
6. Find 3/4 x 2/5.
7. A ribbon is 5/6 yard long. Jay uses 1/3 yard. How much ribbon is left?
8. Which is greater: 7/10 or 2/3?
Measurement, Geometry, and Data
9. A rectangular prism is 8 cm long, 5 cm wide, and 4 cm tall. What is its volume?
10. Plotting point A requires moving 6 units right and 3 units up from the origin. What are the coordinates of A?
11. A table shows that a plant grew 2 inches in Week 1, 3 inches in Week 2, 1 inch in Week 3, and 4 inches in Week 4. What was the total growth?
12. A store sold 125 notebooks on Monday and 178 notebooks on Tuesday. Each notebook costs $2. How much money did the store collect from notebook sales on both days?
Answer Key with Explanations
1. 487 x 36 = 487 x 30 + 487 x 6 = 14,610 + 2,922 = 17,532.
2. 2,856 / 7 = 408.
3. Align decimal points: 4.620 + 18.900 + 0.735 = 24.255.
4. The hundredths digit is 8, so 7.486 rounds to 7.5.
5. 2/3 = 4/6. 4/6 + 5/6 = 9/6 or 1 1/2.
6. 3/4 x 2/5 = 6/20 = 3/10.
7. 1/3 = 2/6. 5/6 – 2/6 = 3/6 or 1/2 yard.
8. 7/10 = 21/30 and 2/3 = 20/30, so 7/10 is greater.
9. Volume = 8 x 5 x 4 = 160 cubic centimeters.
10. The coordinates are (6, 3).
11. 2 + 3 + 1 + 4 = 10 inches.
12. Total notebooks: 125 + 178 = 303. Money collected: 303 x 2 = $606.
Extra SBA-Style Practice with Worked Answers
13. A garden has 3 rows with 8 plants in each row. Each plant needs 0.5 liter of water. How many liters of water are needed for all the plants?
Answer: First find the number of plants: 3 x 8 = 24. Then multiply by the water per plant: 24 x 0.5 = 12 liters. This is a two-step problem, so stopping at 24 would not answer the question.
14. Find 5/8 – 1/4.
Answer: Rename 1/4 as 2/8. Then 5/8 – 2/8 = 3/8. The denominator stays 8 because the pieces are the same size after renaming.
15. A box is 6 inches long, 4 inches wide, and 3 inches high. What is the volume?
Answer: Volume = length x width x height = 6 x 4 x 3 = 72 cubic inches. Use cubic units, not square units, because volume fills space.
16. Which point is 4 units right and 7 units up from the origin?
Answer: The point is (4, 7). The first coordinate shows movement left or right, and the second coordinate shows movement up or down.
Four-Week Study Guide
| Week | Focus | Practice Goal |
|---|---|---|
| Week 1 | Whole numbers and decimals | Build accuracy with multiplication, division, decimal place value, and rounding. |
| Week 2 | Fractions | Practice common denominators, fraction multiplication, and fraction word problems. |
| Week 3 | Measurement and geometry | Review volume, conversions, coordinate grids, and shape properties. |
| Week 4 | Mixed SBA practice | Use timed sets, performance-task-style questions, and an error log. |
How to Use an Error Log
After each practice set, students should write the problem number, topic, reason for the mistake, and corrected solution. A useful error note is specific: “I added denominators” is better than “fraction mistake.” The goal is to make the same error easier to catch next time.
Common Grade 5 SBA Mistakes to Watch
- Answering the first step only: Multi-step problems often ask for the final cost, total amount, or remaining quantity after two operations.
- Adding denominators: In fraction addition and subtraction, students need common denominators; they should not add the denominators together.
- Dropping place value in decimals: Writing 4.62 + 18.9 + 0.735 vertically without extra place-value zeros often leads to misaligned digits.
- Mixing area and volume: Area uses square units and covers a surface. Volume uses cubic units and fills a prism.
- Reversing coordinates: Students should say “x before y” every time they plot or name a point.
A strong review session does not need to be long. Fifteen careful minutes with corrected work is usually better than a full page of unchecked problems. For Washington Grade 5 students, alternate one focused skill day with one mixed-review day so students learn both the topic and the habit of choosing the right strategy.
ViewMath Washington Grade 5 Books
ViewMath Washington Grade 5 resources include topic review, worksheets, quizzes, practice tests, and answer explanations for students preparing for grade-level math standards and SBA-style practice.
Browse the full collection at ViewMath Washington Grade 5 Math.
ViewMath practice questions are original and are not official SBA items.
