Free Printable 7th Grade Homeschool Worksheet (with Answer Key)

Quick answer

Below is a free, printable 7th grade homeschool worksheet with 14 questions across math, English, science and history, plus a complete answer key. Press Print (or Ctrl/Cmd + P) and only the worksheet and key will print. It's aligned to California and Common Core 7th grade standards and takes about 45 to 60 minutes.

Max and Nib next to the title Free Printable 7th Grade Homeschool Worksheet

Your free 7th grade worksheet

This is a one-page-style sample of what our packets feel like: a little of each core subject, real 7th grade skills, and an answer key on its own page. Print it, hand it over, and see where your kid is.

Homeschool PacketsFree Sample · Grade 7
Name: ______________________Date: ____________

Nib says: “Fourteen questions. I believe in you. Mostly.”

Math

  1. Max walks ½ mile to the park in ⅙ of an hour. What is his speed in miles per hour?
  2. Nib sells pencils by the box. The table shows the cost.
    Boxes (x)258
    Cost in $ (y)717.5028
    a) Is the relationship proportional? b) What is the constant of proportionality? c) Write an equation.
  3. A $40 jacket's price goes up 20%, then the new price goes down 20%. What is the final price? Is it more, less, or the same as $40?
  4. Evaluate: a) (−8) + 15 − (−6)    b) (−3)(−4) ÷ (−2)
  5. Nib has 24 erasers and gives away 3 each day. Write and solve an equation to find how many days until Nib has 6 left.
  6. A circular garden has a diameter of 10 feet. Using π ≈ 3.14, find its circumference and its area.
  7. A bag holds 3 red, 5 blue and 2 green marbles. a) What is P(blue)? b) You draw one, put it back, and draw again. What is P(red, then green)?

English: read, then answer

Before about 1450, nearly every book in Europe was copied by hand. A single Bible could take a skilled scribe many months, so books were scarce and expensive, and most people never owned one. Then Johannes Gutenberg, a goldsmith in Mainz, developed a printing press with movable metal type. Workers could set a page of letters once and print it again and again.

The change was not instant, but it was enormous. Within a few decades, print shops had spread to cities across Europe. Pamphlets, maps and textbooks became cheaper. Ideas that once traveled at the speed of a scribe's pen could now reach thousands of readers. Some leaders worried about this. When anyone could print an argument, it was harder to control what people read and believed.

  1. What is the central idea of the passage?
  2. Give two pieces of evidence from the passage that support the central idea.
  3. What does scarce mean? Which clue in the sentence helped you?
  4. Write a paragraph: Was the printing press good for ordinary people? State a claim, support it with evidence from the passage, and respond to one opposing view.

Science

  1. In a sealed bag, 5 g of baking soda and 20 g of vinegar react and the bag puffs up. a) Is this a physical or chemical change? Give one piece of evidence. b) What is the total mass inside the bag after the reaction? Why?

History

  1. Put these in order, earliest first: Columbus reaches the Americas · Magna Carta is signed · Gutenberg's printing press · the Western Roman Empire falls.
  2. Under feudalism, what did a lord give a vassal, and what did the vassal owe in return?
Homeschool PacketsAnswer Key · Grade 7 Free Sample
  1. 3 mph. ½ ÷ ⅙ = ½ × 6 = 3.
  2. a) Yes: 7/2 = 17.5/5 = 28/8 = 3.5. b) k = 3.5 ($3.50 per box). c) y = 3.5x.
  3. $38.40, less than $40. $40 × 1.2 = $48; $48 × 0.8 = $38.40. The 20% decrease is taken from a bigger number, so it removes more than the increase added. (Overall change: 1.2 × 0.8 = 0.96, a 4% decrease.)
  4. a) 13 (−8 + 15 = 7; 7 + 6 = 13). b) −6 (12 ÷ −2).
  5. 24 − 3d = 6 → 3d = 18 → d = 6 days.
  6. Circumference = πd ≈ 3.14 × 10 = 31.4 ft. Area = πr² ≈ 3.14 × 5² = 78.5 sq ft.
  7. a) 5/10 = 1/2. b) 3/10 × 2/10 = 6/100 = 3/50.
  8. Sample: Gutenberg's printing press made books and ideas far cheaper and faster to spread, which changed Europe.
  9. Any two: books were copied by hand and took months; print shops spread across Europe within decades; pamphlets, maps and textbooks became cheaper; ideas could reach thousands of readers; leaders found it harder to control what people read.
  10. Rare / hard to get. Clue: “so books were scarce and expensive, and most people never owned one.”
  11. Look for: a clear claim; at least one piece of passage evidence; a response to an opposing view (for example, “Some leaders worried… but…”); complete sentences.
  12. a) Chemical change. Evidence: a gas forms (bubbles, the bag puffs up); a new substance is made. b) 25 g. In a sealed bag no matter escapes, so mass is conserved: atoms are rearranged, not created or destroyed.
  13. Western Roman Empire falls (476) → Magna Carta (1215) → Gutenberg's press (about 1450) → Columbus reaches the Americas (1492).
  14. The lord gave land (a fief) and protection; the vassal owed loyalty and military service.

More packets like this, made for your child by name: homeschoolpackets.com

How should you use a free printable worksheet?

A worksheet like this is most useful as a check, not a lesson. Three ways to use it:

  1. Placement. Have your child try it cold. Questions they breeze through are solid; questions they skip or miss show you where to start. Our K–8 "what should my child know" checklist helps you go further back if needed.
  2. Review. Use it after a unit to see what stuck.
  3. A light day. Sick day, travel day, appointment day: one printed page keeps the streak going.

Check it together using the answer key. Have your child find their own mistakes first; it's faster and they remember it better.

What makes a good printable homeschool worksheet?

Plenty of free worksheets are busywork. Before you print a stack, check for these:

Look for Avoid
A clear grade level and the skill it practices "Fun" pages with no clear skill
A mix of easy, medium and stretch problems 40 identical drill problems
Word problems with a real context Only bare computation
Room to show work Cramped boxes for answers
An answer key with worked solutions No key, or answers only
Questions that ask "how do you know?" Only fill-in-the-blank recall

The best worksheets also connect to what came before. A one-off page can't do that, which is why free worksheets work best alongside a sequenced plan. See our 7th grade homeschool curriculum guide for a full-year order of topics.

Where can I find more free printable homeschool resources?

These are reputable, free and worth bookmarking:

Why do printable worksheets still work in a screen-heavy world?

Paper has some real advantages for kids this age:

  • It has an end. A page is done when it's done. That makes it easier to start.
  • It shows work. You can see how your kid got a wrong answer, not just that they did.
  • It's distraction-free. No notifications, no tabs.
  • It makes a record. A dated, completed page is proof of learning, handy for charter work samples or your own homeschool records.

Want a full packet made for your kid?

This free sample is a taste. A real Homeschool Packet goes deeper:

  • One subject at a time, with enough practice to actually master the skill
  • Your child's first name on every page and in the word problems
  • A Max & Nib comic on page 1 that calls your kid by name
  • A 36-week sequence, so every packet builds on the last, with review built in
  • A full answer key for you
  • Eight subjects: Math, English, Science, History/Social Studies, Spanish, Art, Coding and Life Skills

Plans: $7/month for one subject, $25/month for any four, $40/month for all eight. See plans or tell us about your learner to get started.

Struggling to get your kid to the table at all? Read how to motivate a homeschooler who hates worksheets.

Frequently asked questions

How do I print this worksheet?

Use your browser's Print command (Ctrl + P on Windows, Cmd + P on Mac, or Share then Print on a phone). The page is set up so only the worksheet and answer key print, without the article around it. Choose Save as PDF if you want a file.

What grade is this worksheet for?

It is written for 7th grade and aligned to California Common Core math and ELA standards, California's NGSS grade 7 science model, and California's 7th grade history course. Strong 6th graders and 8th graders who need review can use it too.

Are there free printable homeschool worksheets for every grade?

Yes, from many sources, but free worksheets are usually one-offs that don't build on each other. Use them for practice and review, and use a sequenced curriculum for the main path through the year.

Can I use this worksheet with more than one child?

Yes. Print as many copies as you like for your own family's use.

How is a Homeschool Packet different from this free sample?

A full packet is longer, focuses on one subject at a time, follows a 36-week sequence, carries your child's first name in the problems, opens with a Max & Nib comic strip, and comes with an answer key.