Top 10 5th Grade SBAC Math Practice Questions
TL;DR: If your fifth grader is taking Smarter Balanced this spring, these 10 practice questions are an honest read of where they stand. They match the SBAC’s adaptive style and the grade-5 standards the test leans on: decimals, fractions, volume, and the coordinate plane. Work through them together and you will quickly see which topics already feel solid and which ones still deserve a little more practice before test day rolls around.
Key takeaways:
- SBAC Math at grade 5 follows Common Core and is given in 14+ states.
- Computer-adaptive – items adjust to your child’s responses as they go.
- Total testing time around 2.5-3 hours, split across two days, including a Performance Task.
- No calculator at grade 5 – on-screen reference for volume formulas and conversions.
- Level 3 (“Met Standard”) is the grade-level target, around 2528 on the scale score.
1- A bag contains \(65\) cards. \(13\) of the cards are white. What fraction of the cards in the bag are white?
A. \(\frac{1}{5}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{6}\)
D. \(\frac{13}{52}\)
2- Which of the following expressions is equivalent to \(\frac{3}{11}\)?
A. \(11 \div 3\)
B. \(3 \div 11\)
C. \(3 \times 11\)
D. \(3 + 11\)
3- For which value of \(A\) is the equation \(A + 20 = 40\) true?
A. \(20\)
B. \(40\)
C. \(60\)
D. \(800\)
4- A car travels at an average speed of \(50\) miles per hour. How long does it take the car to travel \(425\) miles?
A. \(5\) hours
B. \(6\) hours
C. \(7.5\) hours
D. \(8.5\) hours
5- \(50\) is what percent of \(40\)?
A. \(75\%\)
B. \(80\%\)
C. \(125\%\)
D. \(150\%\)
6- The perimeter of the trapezoid below is \(52\). Its three known sides measure \(12\), \(18\), and \(14\), and its height equals the unknown fourth side. What is the area of the trapezoid?_________
7- The area of a circle is \(64 \pi\). What is the circumference of the circle?
A. \(8 π\)
B. \(16 π\)
C. \(32 π\)
D. \(64 π\)
8- A rope weighs 800 grams per meter of length. What is the weight in kilograms of 12.2 meters of this rope? (1 kilograms = 1000 grams)
A. 0.0976
B. 0.976
C. 9.76
D. 9760
9- Solve.
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} =?\)
A. \(\frac{9}{10}\)
B. \(\frac{2}{10}\)
C. 1
D. 2
10- How many \(\frac{1}{4}\) cup servings are in a package of cheese that contains \(6 \frac{1}{2}\) cups altogether?_________
Best 5th Grade SBAC Math Prep Resource for 2026
Answers:
1- A
There are 65 cards in the bag and 13 of them are white. Then, 13 out of 65 cards are white. You can write this as: \(\frac{13}{65}\).
To simplify this fraction, divide both numerator and denominator by 13. Then:
\(\frac{13}{65}=\frac{1}{5}\)
2- B
\(\frac{3}{11}\) means 3 is divided by 11. The fraction line simply means division or \(÷\). Therefore, we can write \(\frac{3}{11}\) as \(3 ÷ 11\).
3- A
Plug in 20 for A in the equations. Only option A works.
\(A+20=40\)
\(20+20=40\)
4- D
50 miles: 1 hour
425 miles: \(425 ÷ 50 = 8.5\) hours
5- C
Use percent formula:
\(part =\frac{percent}{100}× whole\)
\(50=\frac{percent}{100}× 40⇒ 50 = \frac{percent ×40}{100}⇒ 50 = \frac{percent ×4}{10}\)
multiply both sides by 10.
500 = percent \(×4\), divide both sides by 4.
125 = percent
6- 104
First, find the missing side of the trapezoid. The perimeter of the trapezoid below is 52. Therefore, the missing side of the trapezoid (its height) is: \(52-12-18-14=52-44=8\)
Area of a trapezoid: \(A = \frac{1}{2} h (b_{1} + b_{2}) = \frac{1}{2} (8) (12 + 14) = 104\)
7- B
Use the area and circumference of a circle formula.
Area of a circle = \(πr^2 ⇒ 64π = πr^2 ⇒ r= 8\)
Circumference of a circle = \(2πr ⇒ C = 2×8×π ⇒ C =16π\)
8- C
1 meter of the rope = 800 grams 12.2 meter of the rope = \(12.2 × 800 =9,760 \)grams = 9.76 kilograms
9- C
\(\frac{1}{2} + \frac{4}{5} – \frac{3}{10} = \frac{(5×1)+(2×4)-(1×3)}{10} =\frac{10}{10}=1\)
10- 26
To solve this problem, divide \(6\frac{1}{2}\) by \(\frac{1}{4}\).
\(6\frac{1}{2}÷\frac{1}{4}=\frac{13}{2}÷\frac{1}{4}=\frac{13}{2}×\frac{4}{1}=26\)
Looking for the best resource to help you succeed on the 5th Grade SBAC Math test?
The Best Books to Ace the 5th Grade SBAC Math Test
Recommended EffortlessMath Books
For SBAC-focused prep at fifth grade, the SBAC Grade 5 Math Workbook walks through every Smarter Balanced topic, and Mastering Grade 5 Math covers the same grade-5 standards with worked examples and practice.
Frequently Asked Questions
What’s on the 5 grade SBAC Math test?
The Smarter Balanced (SBAC) Math test at grade 5 follows the Common Core State Standards and covers multi-digit operations with whole numbers and decimals, fractions with unlike denominators, volume of rectangular prisms, the coordinate plane (Quadrant I), converting measurement units, and multi-step word problems. Items are grouped into Concepts and Procedures, Problem Solving, Communicating Reasoning, and Modeling and Data Analysis claims.
How many questions are on SBAC Math?
Grade 5 SBAC Math has roughly 30 computer-adaptive items in the main section plus a Performance Task (typically 4-6 connected items). Total testing time is usually 2.5 to 3 hours, split across two sessions on separate days.
How does the computer-adaptive part work?
The test adjusts to your child’s responses – get one right and the next item is harder; miss one and the next is easier. By the end, the algorithm has narrowed in on a precise ability estimate. Encourage your child to read each item carefully; you can’t go back to review most items.
What’s the Performance Task?
The Performance Task is a longer, multi-part problem set built around a real-world scenario. Your child reads source material, then answers several questions tied to it – some multiple choice, some short response, often one extended response. It’s where students show modeling and reasoning skills.
Is a calculator allowed?
No – calculators aren’t allowed on grade 5 SBAC Math. An online formula reference sheet is available for some items at grade 5 (volume formulas, conversions), but most computation is on your child.
What states use SBAC?
California, Connecticut, Delaware, Hawaii, Idaho, Michigan (M-STEP uses SBAC items), Montana, Nevada, North Dakota, Oregon, South Dakota, Vermont, Washington, and a few US territories. Each state may rename the test (CAASPP in California, for example) but the underlying items come from Smarter Balanced.
What’s a passing score?
SBAC reports four achievement levels (1-4). Level 3 (“Met Standard”) is the grade-level target; Level 4 is “Exceeded Standard.” The grade-5 Math cut for Level 3 is around 2485 (grade 4) or 2528 (grade 5) on the scale score.
When is the test given?
SBAC is given in the spring testing window (usually March through May, set by each state). Your school will publish the schedule a few weeks ahead. Most students finish across two non-consecutive days.
How should we study for SBAC Math?
Three habits help most: (1) 15-20 minutes of focused practice on most school days, (2) one timed practice test under realistic conditions a couple of weeks before testing, and (3) walking through every missed problem together to find real gaps. Practice using a computer so the fifth grader is comfortable with the interface.
Where can my child get more SBAC practice?
EffortlessMath has grade-5 SBAC practice tests, topic-by-topic worksheets, and full study guides. The Related Lessons section below links to step-by-step explanations of the trickiest grade-5 skills.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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