Kalvy

Free lessons for NSW Selective, OC and NAPLAN

Short concept pages with worked examples, written for primary school students in Australia preparing for the NSW Selective High School Placement Test, the Opportunity Class (OC) test, and NAPLAN in Years 3 and 5. Read one, then practise it.

Free to read, no account needed. An account is only for practising and keeping track of how you are going.

Mathematical ReasoningMeasurementMedium

Year 6

Area and perimeter without mixing them up

Perimeter is the distance around the outside. Area is the space covered. The units tell you which one you are working with.

Mathematical ReasoningFractionsMedium

Year 6

Comparing fractions confidently

When denominators differ, rewrite the fractions so they share a denominator, or compare each one to a landmark such as one half.

Mathematical ReasoningFractionsMedium

Year 6

Equivalent fractions

Different fractions can name exactly the same amount. Multiplying or dividing the top and bottom by the same number keeps the value unchanged.

Mathematical ReasoningNumber and Place ValueMedium

Year 6

Place value to millions

Every digit has a value that depends on where it sits. Once you can name those places, big numbers stop feeling big.

Mathematical ReasoningData and ProbabilityMedium

Year 6

Reading column graphs carefully

Check the scale before you read any bar. Most mistakes in data questions come from assuming each gridline is worth one.

Mathematical ReasoningMeasurementMedium

Year 6

Speed, distance and time

Speed is how much ground you cover in a chunk of time. Once you can see how the three fit together, you can always find the one you are missing.

Mathematical ReasoningMulti-Step ProblemsMedium

Year 6

Two-step word problems

Write down what you know, decide what the question actually asks, then plan the two steps before calculating anything.

Mathematical ReasoningAdvanced

Year 6

Year 5 cheat sheet: what to know by heart

One page of the facts, formulas and shortcuts a Year 5 student sitting a selective or scholarship paper should be able to recall without working them out.

Exam strategies

Ready to practise?

Practice questions, full mock papers and progress tracking for NSW Selective, OC and NAPLAN.

Create a free account