Think-Nth Math Lab

A place to do mathematics, not just read about it

Problems, challenges, short lessons and guides developed for the Think-Nth Math Lab. Free to use, whether or not you ever book with us.

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Students engaged in online mathematics learning

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Practice connected to what you are actually learning

Enrolled students get unlimited generated practice on any curriculum skill, plus targeted sets built by their educator. Every question comes from an approved Think-Nth template, is checked instantly, and feeds the next live session.

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Every question is generated fresh from the same checked engine our educators use for assigned practice.

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This week

Problem of the week

One problem, a hint when you want it, and the full reasoning when you are ready.

IntermediateLinear Algebra10 min

Rank in disguise

A = \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{pmatrix}

State the rank of A, then describe its null space and column space.

RankNull spaceRank–nullity theorem

Warm up

Short challenges

Sixty seconds each. Spot the mistake, estimate first, or check whether the graph is right.

Spot the mistakeFoundationHigh School60s

A student solves x² = 5x and concludes x = 5. What went wrong?

x^2 = 5x \;\Rightarrow\; x = 5

Topic: Quadratic equations

Estimate firstFoundationMiddle School30s

Without a calculator, is √72 closer to 8 or to 9?

Topic: Number sense

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Everything in the Math Lab

Problems, challenges, short lessons and guides developed for the Think-Nth Math Lab. Sections without published work say so plainly.