Top 10 6th Grade MCAS Math Practice Questions

Top 10 6th Grade MCAS Math Practice Questions

TL;DR: If your sixth grader is sitting for MCAS Math in Massachusetts, these 10 practice questions cover what the test leans on hardest at this level: ratios, percents, fraction division, expressions and equations, and area on the coordinate plane. Each one comes with a full worked solution, so you can review the reasoning together step by step. A clean quick diagnostic to find which topics still need a little more attention before test day.

Key takeaways:

  • These 10 questions cover every MCAS Grade 6 reporting category.
  • Aligned with the 2017 Massachusetts Curriculum Framework for Mathematics (grade 6).
  • Each question has a worked solution that shows the steps, not just the final answer.
  • MCAS Grade 6 is computer-based with technology-stronger items (drag-and-drop, equation editor).
  • Two sessions, untimed – your child rarely runs out of time at grade 6.

Practice Quiz: Top 10 Grade 6 MCAS Math Practice Questions

Answer each question and press Submit to see your result right away.

1. Wren buys 3.5 pounds of cheese that costs $6.40 per pound. How much does she pay?
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2. Which shows 30 + 45 rewritten using the greatest common factor?
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3. A choir has 66 members. The ratio of boys to girls is 5:6. How many more girls than boys are in the choir?
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4. What is the value of k ÷ 4 + 7 when k = 20?
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5. A number line graph has an open circle at 2 and is shaded to the left. Which inequality does it show?
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6. A school garden covers 120 square feet. Tomatoes take up 30% of it. How many square feet are tomatoes?
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7. A rectangular prism has a volume of 180 cubic centimeters. Its length is 6 cm and its width is 5 cm. What is its height?
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8. What is |−15| − |6|?
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9. Which measure of center best describes the data 3, 4, 4, 5, 40?
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10. Each batch of Fenna's granola needs ⅔ cup of honey. She has 4 cups of honey. How many batches can she make?
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Answer each question and press Submit to see your result right away.

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Looking for the best resource to help you succeed on the Grade 6 MCAS Math test?

The Most Comprehensive Review for 6th-Grade Students

Recommended EffortlessMath Books

For a workbook that pairs with this page, Mastering Grade 6 Math walks your sixth grader through every grade-6 topic with worked examples and plenty of practice. For more story-problem reps, Mastering Grade 6 Math Word Problems is the matching word-problem book.

Frequently Asked Questions

What grades take MCAS?

Massachusetts students take MCAS English language arts and math each spring in grades 3 through 8 and again in grade 10, with science tests in grades 5 and 8 and in high school. That means your 6th grader takes the grade 6 math and ELA tests, usually in two untimed sessions on the computer. Your school sets the exact dates within the state window.

What is on the MCAS grade 6 math test?

Grade 6 MCAS math follows the Massachusetts Curriculum Framework and covers ratios and rates, the number system including fraction division, expressions and equations, geometry, and statistics. A typical item might ask how many boys are in a school of 765 when the boy-to-girl ratio is 4:5. Since 765 ÷ 9 = 85, there are 4 × 85 = 340 boys.

Is there a grade 6 MCAS math practice test?

Yes. The Massachusetts Department of Elementary and Secondary Education posts practice tests and released MCAS questions for grade 6 math, and they run in the same computer format as the real test. Short sets with worked solutions, like these ten questions, are handy for daily review. Try solving −60 = 115 − x: adding x and 60 to both sides gives x = 175.

Is there a grade 6 math MCAS reference sheet?

Yes. Massachusetts provides a grade 6 mathematics reference sheet with formulas students may use during the MCAS, such as area of triangles and parallelograms and volume of rectangular prisms. Download the current version from the state’s MCAS resources page and keep a copy beside your child during practice, so they know where each formula is without searching on test day.

How do I study for a 6th grade math test?

Make a short list of the topics on the test, then spend 20 minutes a day on the weakest one first. Work a few problems, check them right away, and redo any misses the next day. For an MCAS-style check, evaluate 6(2x − 3y) + (3 − 2x)² with x = 2 and y = −1: 6(7) + (−1)² = 42 + 1 = 43.

How can I get better at math in 6th grade?

Build habits rather than cramming. Practice a little every day, ask the teacher about anything confusing right away, and explain your steps out loud or on paper. In 6th grade, ratios, fraction division and equations connect to almost everything else, so mastering them pays off on the MCAS and in 7th grade. Rounding practice helps too: 215 ÷ 7 ≈ 30.7.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

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