Free for every stage
Finding a starting stage
A placement check is a short test that covers a whole stage. It takes one sitting and tells you whether a student already knows the stage, belongs in it, or should start lower.
How to place a student
- Pick a stage to try. Use the grade guide below as a first guess. If in doubt, pick the lower stage.
- Print its placement check. Create a free account, add the student, and make the placement check for that stage. Placement checks are free for all 22 stages.
- Time it and mark it with the answer key, then enter the score and time in Math Ladder.
- Follow the result:
- Passed: the student already knows this stage. Try the next stage's placement check, or start the next stage.
- Not passed, but half or more right: start this stage at Step 1.
- Less than half right: this looks like a big jump. Try the placement check one stage lower.
Starting a little too easy is better than starting too hard. Early steps that are easy go quickly: a student who passes each checkpoint moves on after five sheets.
Grade guide
The grades are where each stage's skills are usually taught. Students who need fluency practice often start a stage or two below their grade, and that is fine.
| Stage | Skill | Usually taught in |
|---|---|---|
| 1 | Numbers to 10 | PreK to K |
| 2 | Numbers to 120 | K to 1 |
| 3 | Addition within 10 | K to 1 |
| 4 | Addition within 20 | Grade 1 |
| 5 | Subtraction within 20 | Grades 1 to 2 |
| 6 | Two-digit addition and subtraction | Grade 2 |
| 7 | Multi-digit addition and subtraction | Grades 2 to 3 |
| 8 | Multiplication facts | Grade 3 |
| 9 | Division facts | Grade 3 |
| 10 | Multi-digit multiplication | Grade 4 |
| 11 | Long division | Grades 4 to 5 |
| 12 | Factors and multiples | Grades 4 to 5 |
| 13 | Fraction concepts | Grades 4 to 5 |
| 14 | Adding and subtracting fractions | Grade 5 |
| 15 | Multiplying and dividing fractions | Grades 5 to 6 |
| 16 | Decimals | Grades 5 to 6 |
| 17 | Percents, ratios, and rates | Grades 6 to 7 |
| 18 | Integers and order of operations | Grades 6 to 7 |
| 19 | Expressions and equations | Grades 7 to 8 |
| 20 | Linear equations and systems | Grade 8 |
| 21 | Polynomials and factoring | Grades 8 to 9 |
| 22 | Radicals, quadratics, and rational expressions | Grade 9 |