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7th grade math practice questions, with answers

Written by Dr. Evan J. Hasson, DC — a dad of three who built this curriculum for his own kids.

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 7

25 questions · answers marked25 questions · answers hidden

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NameDateScore / 25

1. Write 3/4 as a decimal.
1. A. 0.34
2. B. 0.43
3. C. 0.75 ← Answer
2. Simplify the expression 3(x + 4) - 2x as much as you can.
1. A. x + 12 ← Answer
2. B. x + 7
3. C. 5x + 12
4. D. x + 4
3. A map uses 1 inch = 4 miles. Two parks are 3.5 inches apart. How far apart are they?
1. A. 0.875 miles
2. B. 12 miles
3. C. 14 miles ← Answer
4. D. 7.5 miles
4. Find the circumference of a circle with a diameter of 10 inches. Use 3.14 for π.
1. A. 78.5 inches
2. B. 314 inches
3. C. 62.8 inches
4. D. 31.4 inches ← Answer
5. Evaluate the expression -8 + 5 and give the result.
1. A. -13
2. B. -3 ← Answer
3. C. 3
4. D. 13
6. A table shows x = 3, y = 12; x = 5, y = 20; x = 9, y = 36. What equation relates y to x?
1. A. y = x + 9
2. B. y = 12x
3. C. y = 4 + x
4. D. y = 4x ← Answer
7. What is the mean of the data 3, 5, 7, 9, 16?
1. A. 7
2. B. 8 ← Answer
3. C. 9
8. A bag has 3 red marbles and 5 blue marbles. One is picked without looking. What is the probability it is red?
1. A. 3/8 ← Answer
2. B. 1/3
3. C. 5/8
4. D. 3/5
9. Write 0.6 as a fraction in simplest form.
1. A. 3/5 ← Answer
2. B. 1/6
3. C. 6/100
4. D. 6/5
10. Solve the equation 4x + 6 = 30 for x.
1. A. x = 1.5
2. B. x = 24
3. C. x = 9
4. D. x = 6 ← Answer
11. A drawing uses 1 cm = 2 m. A pool is 12 m long. How long is it on the drawing?
1. A. 24 cm
2. B. 6 cm ← Answer
3. C. 10 cm
4. D. 14 cm
12. Two lines cross and one angle measures 65 degrees. What does the angle next to it on the straight line measure?
1. A. 295 degrees
2. B. 115 degrees ← Answer
3. C. 65 degrees
4. D. 25 degrees
13. Evaluate the expression -7 × (-4) and give the result.
1. A. -28
2. B. -11
3. C. 11
4. D. 28 ← Answer
14. What is 25% of 80?
1. A. 20 ← Answer
2. B. 25
3. C. 32
4. D. 55
15. The data 2, 4, 6, 8 have a mean of 5. How far is the value 8 from the mean?
1. A. 3 ← Answer
2. B. 5
3. C. 8
16. A spinner has 4 equal sections numbered 1 to 4. What is the probability of landing on 2 or 3?
1. A. 1/2 ← Answer
2. B. 1/4
3. C. 3/4
4. D. 2/3
17. Which fraction is equal to 25%?
1. A. 1/25
2. B. 2/5
3. C. 1/4 ← Answer
18. Write 6x + 18 as a product of a number and a sum.
1. A. 6(x + 18)
2. B. 6(x + 3) ← Answer
3. C. 3(x + 6)
19. Can side lengths of 3 inches, 4 inches and 8 inches form a triangle?
1. A. Yes, because every side is a different length
2. B. Yes, because the three sides add to more than 8
3. C. No, because 3 + 4 is less than 8 ← Answer
20. Find the volume of a box that is 6 cm long, 4 cm wide and 10 cm tall.
1. A. 240 cubic cm ← Answer
2. B. 20 cubic cm
3. C. 24 cubic cm
21. Evaluate the expression -36 ÷ 4 and give the result.
1. A. -32
2. B. -9 ← Answer
3. C. 9
22. The equation y = 5x gives the cost y in dollars of x movie tickets. How much do 7 tickets cost?
1. A. $35 ← Answer
2. B. $12
3. C. $5
23. A data set has a mean of 10. What is the absolute deviation of the value 3?
1. A. -7
2. B. 7 ← Answer
3. C. 13
24. Ravi wants the favorite pizza topping at his school. Which plan gives a random sample?
1. A. Picking 40 names at random from the school list ← Answer
2. B. Asking his 40 closest friends
3. C. Asking everyone in the pepperoni pizza line
25. Write 0.08 as a percent.
1. A. 80%
2. B. 0.8%
3. C. 0.08%
4. D. 8% ← Answer

UpOnly Learning · uponlylearning.com · free to print and photocopy for your own studentsMath — Grade 7

UpOnly Learning · uponlylearning.com · Math Grade 7

From the workbook

A real page of Math · Grade 7

Choose Your Tools: Multi-Step Rational Number Problems

The student will solve multi-step real-world problems with positive and negative rational numbers given in different forms (whole numbers, fractions, decimals and percents), convert between forms to make the work easier, and use estimation to judge whether an answer is reasonable. · 40 min

Warm-up — say this

“Good problem solvers guess the size of the answer first. Then they do the exact work, and then they ask whether the two agree.”

Worked example

Maya earns $14.40 per hour. She works 3 1/2 hours on Saturday and 2.25 hours on Sunday. She spends 1/3 of her earnings on a gift. How much does she have left?

Answer: Total hours: 3.5 + 2.25 = 5.75. Earnings: 5.75 × 14.40 = $82.80. Spent on the gift: 82.80 ÷ 3 = $27.60. Left: 82.80 - 27.60 = $55.20. Check by estimate: 6 hours at $14 is $84, and two-thirds of that is $56, which is close.

A mistake students make

Take 10% off and then 5% off, and that is the same as 15% off.

How the book fixes it

The second percent applies to the smaller price. On $100, 10% off gives $90, and 5% off $90 is $85.50. A single 15% discount gives $85. Combined discounts take off a little less than the sum.

Note to the parent

Ask for the estimate before the answer, every time. A student who says about $7 first will notice right away if the exact answer comes out to $70.

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.

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Grade 7, other subjects

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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.

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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 7. 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.