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Unit 3: Find the structure

Divisibility, primes and factors

Read this before the quizzes

Divisibility rules

Primes and the square-root test

Counting factors

Divisibility

Factor count

Primes

Answers and why: divisibility, primes and factors

HCF, LCM and word problems

HCF and LCM from the primes

Which one does the story want?

Three ropes and the fence post

Same time again

Equal pieces

Answers and why: HCF, LCM and word problems

Remainders and cycles

Remainders add and multiply

Units digits and power cycles

Negative remainders

Remainder of a sum

Units digit

Power remainder

Answers and why: remainders and cycles

Parity, consecutive integers and squares

Parity

Consecutive integers

Squares and cubes

Consecutive odd integers

Square and cube

Answers and why: parity, consecutive integers and squares

Slips, formula cards and your pace

Ten slips to watch for

The formula cards

Your pace for this unit

Mission: factorise a number a day

Smallest digit

A comparison that depends

Answers and why: slips and formula cards

Self-check: can you do it?

Number properties. This unit has one move: find the structure of the number before you compute.

Quantitative Aptitude Unit 3: Number properties

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