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6th grade math practice questions, with answers
25 questions with the answers, free to print and free to photocopy for your own students. Questions taken from the curriculum itself rather than generated — fractions, area and perimeter, time, rounding, comparing — the reasoning a grade actually covers, not only the number facts.
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Math — Grade 6
25 questions · answers marked25 questions · answers hidden
- 1. Evaluate 3^4.
- A. 7
- B. 12
- C. 64
- D. 81 ← Answer
- 2. Solve x + 7 = 12.
- A. 19
- B. 7
- C. 12/7
- D. 5 ← Answer
- 3. Find the area of a triangle with base 10 m and height 6 m.
- A. 60 square meters
- B. 16 square meters
- C. 32 square meters
- D. 30 square meters ← Answer
- 4. Work this out carefully and find 3 ÷ 1/4.
- A. 12 ← Answer
- B. 7
- C. 3/4
- D. 1/12
- 5. Work this out carefully and find 156 ÷ 12.
- A. 12
- B. 13 ← Answer
- C. 14
- D. 132
- 6. What is the opposite of -9?
- A. -9
- B. 0
- C. 9 ← Answer
- D. 18
- 7. A class has 12 girls and 9 boys. What is the ratio of girls to boys?
- A. 3:4
- B. 12:9 ← Answer
- C. 12:21
- D. 9:12
- 8. Which of these is a statistical question?
- A. How many pets does Maria have?
- B. What is the capital of Ohio?
- C. How old is our teacher?
- D. How many pets does each student in our school have? ← Answer
- 9. Evaluate 5^3.
- A. 15
- B. 25
- C. 125 ← Answer
- D. 625
- 10. Solve 6y = 42.
- A. 7 ← Answer
- B. 36
- C. 48
- D. 252
- 11. Find the area of a parallelogram with base 9 ft and height 4 ft.
- A. 36 square feet ← Answer
- B. 26 square feet
- C. 13 square feet
- D. 18 square feet
- 12. Work this out carefully and find 1 ÷ 1/4.
- A. 3/4
- B. 4 ← Answer
- C. 5
- D. 1/4
- 13. Work this out carefully and find 8.4 - 2.65.
- A. 5.15
- B. 5.75 ← Answer
- C. 5.85
- D. 6.25
- 14. Find |-12|.
- A. -12
- B. 0
- C. 12 ← Answer
- D. 24
- 15. A class has 12 girls and 9 boys. What is the ratio of boys to all students?
- A. 12:21
- B. 9:3
- C. 9:12
- D. 9:21 ← Answer
- 16. Find the mean of 4, 8, 6, 5, 7.
- A. 5
- B. 6 ← Answer
- C. 7
- D. 30
- 17. Evaluate 2^5.
- A. 10
- B. 16
- C. 25
- D. 32 ← Answer
- 18. Which value of x makes x + 11 = 16 true?
- A. 4
- B. 5 ← Answer
- C. 11
- D. 27
- 19. Find the volume of a cube with edge 4 cm.
- A. 96 cubic cm
- B. 12 cubic cm
- C. 16 cubic cm
- D. 64 cubic cm ← Answer
- 20. Work this out carefully and find 1/2 ÷ 4.
- A. 1/8 ← Answer
- B. 8
- C. 1/4
- D. 2
- 21. Work this out carefully and find the GCF of 24 and 36.
- A. 4
- B. 6
- C. 12 ← Answer
- D. 72
- 22. Find |7|.
- A. -7
- B. 0
- C. 7 ← Answer
- D. 14
- 23. A car travels 150 miles in 6 hours at a steady speed. What is its unit rate?
- A. 24 miles per hour
- B. 900 miles per hour
- C. 144 miles per hour
- D. 25 miles per hour ← Answer
- 24. Find the median of 7, 2, 9, 3, 8.
- A. 2
- B. 5.8
- C. 7 ← Answer
- D. 9
- 25. Evaluate 10^3.
- A. 30
- B. 100
- C. 1,000 ← Answer
- D. 10,000
A real page of Math · Grade 6
Math in Code: Writing and Evaluating Expressions
The student will write and evaluate numerical expressions with whole-number exponents, write expressions with variables from words, evaluate them for given values using the order of operations, and use properties to write equivalent expressions. · 40 min
“Today you'll learn to write math in a kind of code, using letters and exponents. Then you'll crack the code to find the answers.”
Evaluate 12 + 3 × (5 - 1)^2 ÷ 4.
Answer: 24. Parentheses: 5 - 1 = 4. Exponent: 4^2 = 16. Multiply and divide left to right: 3 × 16 = 48, then 48 ÷ 4 = 12. Add: 12 + 12 = 24.
4^3 means 4 × 3 = 12.
Write out the factors: 4^3 = 4 × 4 × 4 = 64. The exponent tells how many times the base is used as a factor, not what to multiply by.
When your student evaluates an expression, ask them to rewrite it with the number in parentheses first, like 3(4) + 5. This small habit prevents many order of operations and sign mistakes.
That is one topic of many. The free questions above check a skill; this is the part that teaches it.
Practice checks. Our math workbooks teach.
These questions check a skill. The workbook teaches it.
- TeachesA 40-minute lesson per topic that tells you what to say.
- ExplainsWorked examples and the common mistakes, with fixes.
- ReviewsAnswers with short explanations, and fresh questions.
- PlansEvery topic in teaching order, matched to the standards.
Other grades
Grade 6, other subjects
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Questions parents ask
Are these math worksheets really free?
Yes. All 25 questions and their answers are on this page, free to print and free to photocopy for your own students. Printing needs only a free account. No card.
Can a teacher or a tutor use these with a class?
Yes. Print and photocopy them for the students you teach. The only thing we ask is that you do not republish them as your own or sell them.
Where are the answers?
Marked beside each question on this page, so it prints as its own answer key. For a clean copy, click Hide answers before you print; click Show answers again to print your answer key.
What grade are these for?
Grade 6. Every other grade from kindergarten to grade 8 has its own page, linked at the foot of this one. If your student finds these hard, try the grade below — that is normal and it is not a problem.
What do the paid workbooks add?
These questions check a skill. The workbook teaches it: a forty-minute lesson that tells you what to say, two worked examples, the two mistakes students actually make on that skill and how to correct each one, and an explanation beside every answer rather than a bare key.