Primary 6 Mathematics

Primary 6 applies everything from Primary 5 to harder, multi-step problems, and adds circles and averages — two topics that show up often in the PSLE's later papers.

More of Primary 5's toolkit, applied harder

  • Multi-step word problems that combine fractions, ratio and percentage in one question.
  • Finding unknown angles in figures built from several shapes at once.
  • Composite area and volume problems, including finding a missing dimension.

Circles: circumference and area

Circles are new at Primary 6, and the two formulas — circumference and area — look similar enough to get mixed up under exam pressure. The reliable habit is writing down which one the question is actually asking for before picking a formula, especially once semicircles and quarter circles enter the mix.

Qn 1

The diameter of a circular pond is 14 m. Find its circumference. (Take π = 22/7.)

C = π × d

C = 22/7 × 14

The circumference is 44 m ✓

Average: working backwards

Primary 6 doesn't just ask for an average — it often gives the average and asks students to work backwards to find a missing total or a missing value, using the link between average, total and number of items. That reversal is where most mistakes happen.

Qn 2

The average mass of 4 boys is 42 kg. A fifth boy joins them, and the new average becomes 40 kg. Find the mass of the fifth boy.

Total for 4 boys = 42 × 4 = 168 kg

Total for 5 boys = 40 × 5 = 200 kg

Fifth boy's mass = 200 − 168 = 32 kg ✓

Not sure which level or subject fits? Get in touch and describe where your child is at, and we'll suggest a starting point.