Math topics for ages 11–12
Number sense first, then the arithmetic and the shapes, measures and data work that school actually examines. Each topic ends in a Practice Zone that builds a fresh question set every visit.
The step up to secondary thinking — abstraction, formal terms and questions with more than one defensible answer.
21 topics · 126 hands-on stations · 1 free to try
The Line Goes Both Ways
An integer is any whole number — positive, negative or zero — with no fraction part. Negatives are not a piece of maths trickery; they measure real things that live below a natural zero.
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A road with zero in the middle. Numbers grow as you walk right and shrink as you walk left, so −6 sits further left, and is lower, than −2.
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Winter temperature in Leh, a bank balance after a loan, a basement floor in a lift, a diver below sea level. Each has a genuine zero with a genuine "below".
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−7 and +7 stand the same distance from zero but in opposite directions. That distance, always positive, is the number's magnitude.
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Almost everyone says −7 is bigger than −3, because 7 beats 3. On the line −7 is further left, so it is smaller. A debt of ₹7 is worse than a debt of ₹3.
This is one station of 6 in the trail, and finishing the trail earns an Explorer badge. See the whole trail →
Free printable worksheet
Ten questions from Integers and Negatives on one page, with an answer key at the bottom — a PDF you can print for homework, a car journey or a classroom. No account needed and nothing to sign up for.
⬇️ Download the Integers and Negatives worksheet (PDF)See the whole trail →
A few of the Math topics at this age
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The number line runs both ways, and two minuses really do make a plus
🧭 The Line Goes Both Ways · ↔️ Crossing Zero · ➖ The Two Minuses, Explained · 🔮 Predict the Sign · 🥶 Coldest to Warmest · 🎯 Practice Zone
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Factors, HCF and LCM
Every number has a unique prime fingerprint — and it answers HCF and LCM instantly
🔬 Every Number Has a Fingerprint · 🏗 Factorising 180 · 🧩 Number to Fingerprint · 🎯 HCF and LCM from Primes · 🔭 Fingerprint Explorer · 🎯 Practice Zone
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Fractions, All Four Ways
Add, subtract, multiply, divide — and finally understand why you flip and multiply
📐 One Rule Per Operation · 🧱 Adding with Different Bottoms · 📏 How Many Fit Inside? · 🔄 Why You Flip and Multiply · 🎲 All Four, Mixed Up · 🎯 Practice Zone
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Decimals and Rounding
What sits after the point, why some fractions never end, and how to round honestly
🔎 What Lives After the Point · 📍 Where Does It Land? · ⚖️ The Boundary Cases · ✖️ Multiplying and Dividing · 🔗 Fraction to Decimal · 🎯 Practice Zone
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Ratio and Proportion
Comparing quantities side by side — and the fraction trap that catches everyone
🚧 A Ratio Is Not a Fraction · 💰 Sharing in a Ratio · 🥤 The Squash Mixer · 🔀 Direct or Inverse? · ✂️ Simplify the Ratio · 🎯 Practice Zone
…and 16 more Math topics for ages 11–12 inside the app, each one a full trail of hands-on stations. Create a free account to explore them.
Math at other ages
Math, ages 5–6 Math, ages 7–8 Math, ages 9–10 Math, ages 13–14
Other subjects for ages 11–12
Analytical
General Knowledge
Science
EQ
English
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