Sensim Math · Depth

Your kid finished the worksheet in five minutes. Now what?

Depth is where strong students slow down and think — the same topics school is teaching, one level deeper. Multi-step, no formula to copy, built to be reasoned through.

✓ Free to solve · no account needed

Aligned to the Common Core, standard by standard.

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Stage 4 · Grades 4–10 Competition

Timed contest prep — AMC 8 & AMC 10.

competition.sensimlab.com →
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Stage 3 · Beyond the curriculum Reasoning

Logic, patterns, invariants — thinking no textbook unit teaches.

Explore Reasoning →
You are here 2
Stage 2 · Grades 2–6 Depth

The school curriculum, one level deeper — where speed stops being enough.

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Stage 1 · K–6 Arithmetic

Fast, accurate fundamentals.

arithmetic.sensimlab.com →

One ladder, from fluency to competition. The rungs are connected underneath — every problem here knows what it rests on and what it grows into.

The product, in one problem

What a Depth problem feels like

Try it yourself, right here — no signup, and no need to sit your kid down yet. If it makes you pause and think, it will do the same for them.

Pick your child's grade
Try one · Grade 3
Guess-and-check a legs problem
On Naomi's farm there are 10 animals in all, some cows and some chickens. When she counts all the legs of the cows and chickens, there are 32 legs in total. How many more cows than chickens are there?

Where to start

Start from what you already know

One thing you've noticed about your child is enough to find the right problems.

“She's doing fractions at school right now.”

Match what school is teaching

Pick the topic on this week's homework — get the set that runs one level under the surface of it.

“He knows his facts, but word problems fall apart.”

Start from the struggle

Pick what you're seeing at homework time — each pattern maps to a problem family built to work on exactly that.

“Where do kids usually start here?”

Follow the well-worn path

Our picks for Grade 4 — from the first rung to the deepest. (Real usage rankings will replace these as data accumulates.)

Not sure where to start? There's an optional 10-minute check-up.

Five problems, picked to locate a starting point. No score, no ranking, no signup — it ends with a suggestion, not a grade. And you can skip it forever: everything below works without it.

Take the check-up

For parents

The math is free. What you pay for is visibility.

Your child never hits a paywall — problems, hints, and every topic stay open. The paid plan is for you: a clear picture of where they stand and what comes next.

Hints that teach, not tell

When your child gets stuck, Depth doesn't show the answer. It offers a ladder — each rung a smaller nudge toward thinking it through themselves.

1 A question that redirects attention
2 A way to organize the work
3 The method — still not the number
…and the answer itself is never a rung.

Depth for Parents

  • Mastery map across every skill — solid, shaky, and untouched
  • A weekly email: what they worked on, where they slowed down
  • Suggested next path, recalculated as they solve
See pricing →

Kids' side stays 100% free — with or without a subscription.

For the explorers

Prefer to browse? The whole catalog is open. →

427 problem types · 4,528 generated practice variants across 46 archetypes — numbers change on every visit, so answers can't be memorized.

Numbers & Place Value
51 problem types
Operations & Word Problems
79 problem types
Patterns & Reasoning
80 problem types
Fractions & Decimals
34 problem types
Measurement & Time
18 problem types
Geometry & Figures
90 problem types
Perimeter & Area
39 problem types
Data & Graphs
36 problem types