Grade 5 Mathematics extends the number range to 999 999 and deepens understanding of all four operations. The CAPS curriculum covers five content areas: Numbers, Operations and Relationships, Patterns, Functions and Algebra, Space and Shape (Geometry), Measurement, and Data Handling. Fractions are extended to include equivalent fractions and fraction operations. Decimal fractions are introduced. Geometry work deepens understanding of 2D shapes and 3D objects with an emphasis on properties. Mental mathematics and estimation remain central throughout.
- Count, order, compare and represent whole numbers to 999 999
- Place value: units through hundred thousands
- Multiplication: 3-digit × 2-digit using various strategies
- Division: 3-digit ÷ 2-digit with and without remainders
- Multiples and factors — HCF and LCM (introduction)
- Number patterns — extend, describe and create
- 2D shapes: classify and describe properties
- Symmetry: more than one line of symmetry
- Common fractions: extend to twelfths, sixteenths
- Equivalent fractions — simplify and compare
- Add and subtract fractions with the same denominator
- Decimal fractions: tenths and hundredths on a number line
- Convert between common and decimal fractions
- Decimal addition and subtraction
- 3D objects: classify, describe nets
- Length: convert between mm, cm, m, km
- Properties of whole number operations: commutative, associative, distributive
- Order of operations — introduction (no brackets yet)
- Numeric patterns: constant difference and ratio
- Time: calculate time intervals using timetables
- Mass: convert between g, kg, ton
- Capacity: convert between ml, l
- Data: collect, organise, represent — bar graphs, pictographs, pie charts
- Range, mode and median of a data set
- Revision of all four operations with whole numbers to 999 999
- Word problems: multi-step with all operations
- Perimeter and area of regular and irregular shapes
- Transformations: reflection, translation, rotation
- Temperature: converting between Celsius contexts
- Probability: likelihood scale — certain, likely, unlikely, impossible
- Integers: introduction — meaning of negative numbers
- Solving number sentences with unknowns: □ × 6 = 48
Learn your multiplication tables thoroughly. Almost everything in Grade 5 and 6 Maths — fractions, ratios, percentages, division — requires fast multiplication. Drill your tables until they are automatic.
Show all your working. Marks are given for method, not just the final answer. Even if your answer is wrong, correct working earns marks.
Underline what the question is asking. Word problems contain a lot of information. Underline the actual question (usually the last sentence) and the key numbers before calculating.
Check by working backwards. After solving, verify by reversing the operation. If 48 ÷ 6 = 8, check: 8 × 6 = 48. This catches most errors in seconds.
Draw diagrams for geometry and data questions. If a question describes a shape or data set, sketch it before calculating. A visual representation helps you see which operation is needed.
Mental maths daily makes everything easier. Practise adding and subtracting multiples of 10, 100 and 1 000 in your head. Strong number sense means faster, more accurate working in tests.