Free · Grades 5–6 · 3 sections · 17 questions
Negative numbers, solving for x, and the order that keeps both honest.
The answer key prints on a separate page.
Negatives break an assumption that has held for years: that subtracting makes things smaller and adding makes them bigger. 10 − 18 does not stop at zero, and −20 + 9 moves toward zero while looking like an addition. The first section is there to test whether the number line has replaced the assumption.
Equations follow because solving one is the same move in reverse — whatever was done to x gets undone, and undoing an addition means subtracting, including when the result is negative. A child who is fine with x + 28 = 30 and stuck on x + 30 = 10 has not met an equation problem; they have met the first section again.
Order of operations & powers On the paper: Order of operations · Powers of ten · Exponents. Open this test 
Number theory unit test On the paper: Greatest common factor · Least common multiple · Factors · Word problems. Open this test 
Ratios & percents On the paper: Ratios · Percents · Word problems. Open this test