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.

Language ConventionsPunctuationMedium

Years 3 to 6

Apostrophes that behave

Apostrophes do exactly two jobs: they show letters are missing, or they show something belongs to someone.

Mathematical ReasoningMeasurementMedium

Years 4 to 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

Years 4 to 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 ReasoningCounting and NumbersBasic

Kindergarten to Year 2

Counting without losing your place

How to count a big group of things and get the same answer every time.

Mathematical ReasoningFractionsMedium

Years 4 to 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.

ReadingReading for MeaningBasic

Kindergarten to Year 2

Finding the answer in the words

Some answers are written down and some you work out from clues. Knowing which is which.

Thinking SkillsAnalysing ArgumentsAdvanced

Years 5 to 6

Finding the conclusion in an argument

The conclusion is the point the speaker wants you to accept. Everything else in the passage exists to support it.

ReadingMain Idea and PurposeMedium

Years 3 to 6

Finding the main idea

The main idea is what the whole text is mostly about, not the most interesting detail in it.

ReadingMaking InferencesMedium

Years 3 to 6

Making inferences from clues

An inference is a conclusion the writer implies but never states. Good inferences point at specific words in the text.

Mathematical ReasoningAdding and Taking AwayBasic

Kindergarten to Year 2

Making ten

Why ten is the number worth knowing by heart, and how it makes adding easier.

Mathematical ReasoningShapes and PatternsBasic

Kindergarten to Year 2

Naming shapes by counting sides

A shape’s name comes from how many straight sides it has, so counting is all you need.

Mathematical ReasoningNumber and Place ValueMedium

Years 3 to 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.

WritingNarrative WritingMedium

Years 3 to 6

Planning a narrative in five minutes

A short plan protects you from running out of story halfway through. Decide the problem and the ending before you write a word.

Mathematical ReasoningData and ProbabilityMedium

Years 3 to 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.

Thinking SkillsLogical DeductionMedium

Years 4 to 6

Solving deduction puzzles with a grid

When clues describe who has what, a small grid turns a confusing paragraph into a handful of ticks and crosses.

Language ConventionsLetters and SoundsBasic

Kindergarten to Year 2

Sounding out a word you have never seen

Break the word into sounds, say them in order, then push them together.

Mathematical ReasoningMeasurementMedium

Years 3 to 10

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

Years 4 to 6

Two-step word problems

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

Language ConventionsEveryday WordsBasic

Kindergarten to Year 2

Words you cannot sound out

A short list of very common words that have to be learned by sight, and how to learn them.

Mathematical ReasoningAdvanced

Years 5 to 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

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