Mathematics: Number, Measurement, Geometry and Primary Maths Pedagogy
What the paper tests
Mathematics at Level 1 covers number sense, the four operations, fractions, measurement, basic geometry, patterns and data handling, plus pedagogy: how children build mathematical ideas. Many items are one-step but hinge on a precise definition.
Core rules
- Place value: in 47,832 the 4 is 40,000; each place is ten times the one on its right.
- Factors and multiples: HCF is the largest number dividing both; LCM is the smallest number both divide. For 12 and 18, prime factorisation gives 2²×3 and 2×3², so HCF = 6 and LCM = 36; HCF × LCM = product of the two numbers.
- Fractions: compare by common denominator; add only like denominators; a fraction of a quantity uses multiplication.
- Geometry: point, line, ray, line segment; angle types; symmetry; perimeter is boundary length, area is surface covered.
- Measurement: convert consistently (1 m = 100 cm, 1 kg = 1000 g, 1 litre = 1000 ml) before calculating.
- Pedagogy: Van Hiele levels move from visual to descriptive to informal deduction; use concrete → pictorial → abstract; Polya’s four steps - understand, plan, solve, look back.
Worked example
Two bells ring every 12 and 18 minutes and ring together at 9:00 a.m. When do they next ring together? “Together again” signals LCM. LCM(12, 18) = 36, so they ring together 36 minutes later, at 9:36 a.m. If the question asked for the largest equal-sized groups into which 12 and 18 children can be split, it would signal HCF = 6.
Traps
Using HCF where the problem needs LCM; adding denominators (1/2 + 1/3 ≠ 2/5); confusing area and perimeter; leaving answers without units; assuming a square is the only rectangle.