MATH · GRADES 1–10 · GO AT YOUR OWN PACE

Grade 10 math practice

A new set whenever you’re ready. Pick a grade and a skill, work it out, then see the thinking behind each answer.

These are selected skills using common US-style grade groupings, not a complete curriculum or placement test. School sequences vary. Choose the level that fits your learner.

Grade 10 · Example set

1 · Factoring quadraticsFind the larger solution of x² − 16x + 28 = 0.Answer: ____________________

2 · Arithmetic sequencesAn arithmetic sequence starts at 15 and adds 10 each time. What is term 8?Answer: ____________________

3 · Independent probabilityA bag has 4 red and 7 blue counters. Draw twice, replacing the first counter and mixing before the second draw. What is the probability of red both times?Answer: ____________________

4 · Factoring quadraticsFind the larger solution of x² − 15x + 14 = 0.Answer: ____________________

5 · Arithmetic sequencesAn arithmetic sequence starts at 10 and adds 3 each time. What is term 20?Answer: ____________________

6 · Independent probabilityA bag has 3 red and 8 blue counters. Draw twice, replacing the first counter and mixing before the second draw. What is the probability of red both times?Answer: ____________________

7 · Factoring quadraticsFind the larger solution of x² − 42x + 405 = 0.Answer: ____________________

8 · Arithmetic sequencesAn arithmetic sequence starts at 2 and adds 5 each time. What is term 8?Answer: ____________________

9 · Independent probabilityA bag has 6 red and 7 blue counters. Draw twice, replacing the first counter and mixing before the second draw. What is the probability of red both times?Answer: ____________________

10 · Factoring quadraticsFind the larger solution of x² − 34x + 264 = 0.Answer: ____________________

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Yes. Generate a fresh set to get new number combinations. A shared link reproduces the same questions. These use defined mathematical rules, not an AI chatbot.

Can I use equivalent fractions?

Yes. For example, 2/4 and 1/2 are both accepted for one half. Use a fraction for repeating decimals. Enter mixed numbers as 1 1/2.

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Answer key

1. 14
Factor: (x − 2)(x − 14) = 0. The solutions are 2 and 14; the larger is 14.

2. 85
Term n = first term + (n − 1) × difference. 15 + (8 − 1) × 10 = 85.

3. 16/121
With replacement the draws are independent. P(red twice) = 4/11 × 4/11 = 16/121.

4. 14
Factor: (x − 1)(x − 14) = 0. The solutions are 1 and 14; the larger is 14.

5. 67
Term n = first term + (n − 1) × difference. 10 + (20 − 1) × 3 = 67.

6. 9/121
With replacement the draws are independent. P(red twice) = 3/11 × 3/11 = 9/121.

7. 27
Factor: (x − 15)(x − 27) = 0. The solutions are 15 and 27; the larger is 27.

8. 37
Term n = first term + (n − 1) × difference. 2 + (8 − 1) × 5 = 37.

9. 36/169
With replacement the draws are independent. P(red twice) = 6/13 × 6/13 = 36/169.

10. 22
Factor: (x − 12)(x − 22) = 0. The solutions are 12 and 22; the larger is 22.

Grade 10 math practice

Grade 10 · Mixed practice · 10 questions

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Answer key