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Free Grade 8 The Real Number System Worksheets
1,135+ Texas TEKS-aligned practice questions on the real number system. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for the real number system worksheets for Grade 8? This page has 1,135+ TEKS-aligned practice questions on this exact topic. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.
Below: a sample of 8 questions with answers and explanations so you can see what's on the worksheet before you print. Each question has the correct choice marked and a one-line "why" so kids who get it wrong understand the fix.
√10 is between which pair of integers?
- 2 and 3
- 9 and 16
- 4 and 5
- 3 and 4 ✓
Why: 3² = 9 and 4² = 16. Since 9 < 10 < 16, √10 is between 3 and 4.
√103 is between which pair of integers?
- 11 and 12
- 100 and 121
- 10 and 11 ✓
- 9 and 10
Why: 10² = 100 and 11² = 121. Since 100 < 103 < 121, √103 is between 10 and 11.
Between which two consecutive integers does √57 lie?
- 49 and 64
- 8 and 9
- 6 and 7
- 7 and 8 ✓
Why: 7² = 49 and 8² = 64. Since 49 < 57 < 64, √57 is between 7 and 8.
Between which two consecutive integers does √75 lie?
- 8 and 9 ✓
- 64 and 81
- 7 and 8
- 9 and 10
Why: 8² = 64 and 9² = 81. Since 64 < 75 < 81, √75 is between 8 and 9.
Compare 9/2 and 4.55. Which is larger?
- They are equal
- 4.55 ✓
- 9/2
- Cannot tell
Why: 9/2 = 4.500. Comparing 4.500 and 4.55, the greater value is 4.55.
Compare 1/6 and 0.22. Which is larger?
- 0.22 ✓
- 1/6
- Cannot tell
- They are equal
Why: 1/6 = 0.167. Comparing 0.167 and 0.22, the greater value is 0.22.
Which is greater: 5/4 or 1.4?
- 1.4 ✓
- They are equal
- Cannot tell
- 5/4
Why: 5/4 = 1.250. Comparing 1.250 and 1.4, the greater value is 1.4.
Compare 2/8 and 0.35. Which is larger?
- 0.35 ✓
- 2/8
- Cannot tell
- They are equal
Why: 2/8 = 0.250. Comparing 0.250 and 0.35, the greater value is 0.35.
Common questions
Are these worksheets really free?
Yes. Free to print, free to practice online. No email, no sign-up, no paywall. We make money from optional paid features (toy redemption with real cents), not from the worksheets.
What TEKS standards does this cover?
This unit aligns to multiple Grade 8 math TEKS standards.
How many total questions are available?
1,135+ questions in our Grade 8 The Real Number System bank. Print as many 20-question worksheets as you like — each one pulls a fresh set so your kid doesn't see the same questions twice.
Where do these questions come from?
Generated by our AI pipeline, then quality-gated by two independent models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to a specific TEKS standard and modeled on real STAAR item shapes.