Top 10 5th Grade MCAS Math Practice Questions
TL;DR: If your fifth grader is taking MCAS this spring, these 10 practice questions are the perfect quick check. They mirror Next-Gen MCAS’s mix of selected response and constructed response, including the extended-response item that catches a lot of kids off guard. Work through them together, talk through the reasoning behind any misses, and you will see exactly which topics still deserve a little more attention before test day arrives.
Key takeaways:
- Next-Gen MCAS Math at grade 5 follows the Massachusetts Curriculum Frameworks (CCSS-aligned).
- Around 40 items across two sessions on separate days, about 60-75 minutes each.
- Mix of selected response, multi-select, drag-and-drop, short response, and one extended-response item per session.
- No calculator at grade 5 – on-screen reference sheet has volume formulas and conversions.
- “Meeting Expectations” is the grade-level target, around 500 on the 440-560 scale.
1- A bag contains \(65\) cards numbered from \(1\) to \(65\). \(13\) of the cards are white and the rest are blue. If a card is drawn at random, what is the probability that the card is white?
A. \(\frac{1}{5}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{2}\)
2- Which of the following is equivalent to \(\frac{3}{11}\)?
A. \(11 \div 3\)
B. \(3 \div 11\)
C. \(3 \times 11\)
D. \(11 – 3\)
3- What value of \(A\) makes the equation \(A+20=40\) true?
A. \(20\)
B. \(40\)
C. \(60\)
D. \(2\)
4- A car drives at a constant speed of \(50\) miles per hour. How many hours does it take to drive \(425\) miles?
A. \(7\)
B. \(7.5\)
C. \(8\)
D. \(8.5\)
5- \(50\) is what percent of \(40\)?
A. \(80\%\)
B. \(100\%\)
C. \(125\%\)
D. \(150\%\)
6- The perimeter of a trapezoid is \(52\) cm. Its parallel sides (bases) are \(12\) cm and \(14\) cm, and one of its non-parallel sides is \(18\) cm. What is the area of the trapezoid in \(cm^2\)? ______
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 in 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 MCAS 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 means division or \(÷\). Therefore, we can write \(\frac{3}{11}\) as \(3 ÷ 11\).
3- A
Plug 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 the 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 formula for the area and circumference of a circle.
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 MCAS Math test?
The Best Books to Ace the MCAS Math Test
Recommended EffortlessMath Books
For MCAS-targeted prep at fifth grade, Mastering Grade 5 Math covers every Massachusetts Curriculum Frameworks topic with worked examples and built-in practice. For extra word-problem reps, see Mastering Grade 5 Math Word Problems.
Frequently Asked Questions
What’s on the 5 grade MCAS Math test?
MCAS (Massachusetts Comprehensive Assessment System) Math at grade 5 follows the Massachusetts Curriculum Frameworks for Mathematics (the state’s adaptation of Common Core) 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.
How many questions are on MCAS Math?
Grade 5 MCAS Math has roughly 40 items split across two sessions, given on separate days. Each session runs about 60-75 minutes. Most students finish well before time runs out – MCAS is not strictly timed at grades 3-8.
Is MCAS paper-based or computer-based?
Next-Generation MCAS is fully online for most Massachusetts students. Paper testing is available as a documented accommodation. Have your child practice on a Chromebook or tablet so the interface isn’t new on test day.
What question types appear on MCAS Math?
Multiple choice (selected response), multi-select, drag-and-drop, equation builder, short response (1-3 points), and one extended-response item per session where your child writes out reasoning. Constructed-response items count for roughly 25-30% of the total points.
Is a calculator allowed?
No – calculators aren’t allowed on grade 5 MCAS Math. Your child needs solid recall of basic facts and operations. A reference sheet is available on screen at grade 5 (and some grade 4 items) with formulas like area, perimeter, and volume.
What’s a passing score?
MCAS reports four levels: Exceeding Expectations, Meeting Expectations, Partially Meeting Expectations, and Not Meeting Expectations. “Meeting Expectations” is the state’s grade-level target. The grade-5 Math cut for Meeting is around 500 on the scale score (which runs 440-560).
When is MCAS given?
Next-Gen MCAS for grades 3-8 is given each spring, typically May through early June. Your district sets the exact schedule. The two math sessions usually happen within a one- or two-week stretch.
How is the extended-response item scored?
Extended-response items are scored 0-4 by trained scorers using a rubric. Partial credit is awarded for clear work even if the final answer is wrong, so encourage your child to show every step and write a sentence explaining their thinking.
How should we study for MCAS Math?
Three habits help most: (1) 15-20 minutes of focused practice four or five days a week, (2) one full-length practice test under realistic conditions a couple of weeks before testing, and (3) reviewing every missed item with your fifth grader to spot real gaps in understanding.
Where can my child get more MCAS practice?
EffortlessMath has grade-5 MCAS 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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