6th grade math practice that opens the door to algebra

Free, no-login math practice for 6th graders. Percentages, dividing fractions by fractions, ratios and proportions, and the first one-step pre-algebra equations.

Sixth grade is when math starts feeling like the algebra it’s preparing kids for. Ratios, percentages, and dividing fractions arrive on top of the foundations laid in 5th. Variables and one-step equations enter the picture for the first time. Kids who finished 5th grade fluent on fractions sail into 6th; kids who didn’t spend the year compensating, and start to feel “bad at math” for what is really a fluency gap.

What 6th graders learn in math

Common Core 6th grade (CCSS.Math.6.RP, 6.NS, 6.EE) expects:

• Ratios and proportions (CCSS 6.RP) — the foundational middle-school topic.
• Percentages (CCSS 6.RP.A.3.c) — percent of a quantity, finding the whole, part of a quantity.
• Dividing fractions by fractions (CCSS 6.NS.A.1) — the famous “flip and multiply.”
• Multi-digit operations and standard algorithms with whole numbers, fractions, and decimals at fluency.
• Variables, expressions, and one-step equations (CCSS 6.EE) — the gateway to algebra.
• Negative numbers on the number line; absolute value.

The Num Drill plan for 6th grade

Q1 (Aug–Oct): foundations check + percentages

• Day-one audit: fractions level 5–6, division level 5, multiplication level 4–5. Repair what’s shaky.
• Percentages levels 1–3 — the headline new 6th-grade skill. See the percentage practice page.

Q2–Q3 (Oct–Mar): pre-algebra and proportional reasoning

• Percentages levels 4–5 at fluency.
• Pre-algebra levels 1–2 (one-step equations) introduced. See the pre-algebra practice page.
• Fractions level 6 (all four operations with mixed numbers) for ongoing maintenance.
• Long division level 6 (2-digit divisors) at fluency — this is the 6th-grade target per CCSS 6.NS.B.2.

Q4 (Mar–Jun): two-step equations and 7th-grade prep

• Pre-algebra levels 3–4 (two-step equations, including negative coefficients).
• Percentages level 6 for students preparing for AMC 8 or accelerated tracks.

Total daily time: about 5 minutes. The 6th-grade pattern: one percentage quiz + one pre-algebra or fractions quiz, alternating daily, with periodic returns to the foundational ops.

The pre-algebra connection

Pre-algebra in 6th grade is mostly one-step equations (e.g. 3x = 27, x − 7 = 12). The arithmetic underneath is pure 4th- and 5th-grade fluency — if a child has to think hard about “what times 3 is 27?”, the algebra layer collapses on top of the arithmetic gap. Num Drill’s pre-algebra levels 1–2 drill exactly this kind of inverse-arithmetic problem; see the pre-algebra practice page for the level structure.

Common parent questions about 6th-grade math

The single biggest 6th-grade stall pattern: kids who can compute a percentage when given the formula but freeze on the “find the whole” type (“15 is 25% of what number?”). That’s the algebraic move, and it predicts how pre-algebra is going to land. Drill percentages level 3+ in mixed order to force kids to identify the question type before reaching for a procedure.

Related reading: percentage practice · pre-algebra practice · fractions practice · 5th grade math practice