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Getting ready for 12th grade math

Find a useful starting point before a new school year. Answer twelve questions, review the reasoning, and choose a manageable practice routine.

What this check covers

  • Simplifying rational expressions and keeping restrictions
  • Logarithms as exponents
  • Geometric sequences and finite sums
  • Function domains
  • Trigonometric ratios
  • Factoring and simplifying

Allow 15–25 minutes with paper for working. Use “Not sure yet” freely. Try without a calculator unless your normal learning support requires one. These are selected prerequisites, not the entire grade curriculum. High-school course order varies; our grade 11 check emphasizes Algebra 2 foundations and grade 12 emphasizes precalculus/calculus foundations.

Your next step

12th Grade entry check

12 questions · No time limit

Choose an answer or enter it as shown. You can include units. Select “Not sure yet” to mark a skill for practice. Results stay on this page unless you download them.

1 Simplify (x² − 16)/(x − 4), including restrictions.
2 Simplify 8x²/(4x), including restrictions.
3 Find log₂(32).
4 Solve log₅(x) = 2.
5 Find the fourth term of 5, 10, 20, … .
6 Find the sum of the first three terms of 3, 9, 27, … .
7 Which input is excluded from 1/(x − 2)?
8 For real √x, can x be −1?
9 A right triangle has opposite side 3 and hypotenuse 5. Find sine of the angle.
10 A right triangle has adjacent side 4 and hypotenuse 5. Find cosine of the angle.
11 For x ≠ 2, simplify (x² − 4)/(x − 2).
12 For x ≠ 0, simplify x³/x.