
5Primary 5 Standards
Top Mathematicians

Number and Algebra: Fractions

5.NAF.1
Concept of fraction as division
• 1.1 association of a fraction with division,
• 1.2 conversion between fractions and decimals. 
5.NAF.2
Four operations
• 2.1 addition and subtraction of proper fractions without using calculators,
• 2.2 addition and subtraction of mixed numbers,
• 2.3 multiplication of a proper fractions and a proper/ improper fraction without using calculators,
• 2.4 multiplication of an improper fraction and an improper fraction,
• 2.5 multiplication of a mixed number and a whole number,
• 2.6 division of a proper fraction by a whole number without using calculators,
• 2.7 solving word problems involving the 4 operations. 

5.3720

5.4020

5.4120

5.4220

5.4320

5.4420

5.4520

5.4615

5.4710

5.4815

5.4915

5.5015

5.5115

5.5215

5.5315

5.5415

5.5520

5.5620

5.5715

5.5815

5.5915

5.6015

5.6115

5.6210

5.6310

5.645


5.NAF.1

Number and Algebra: Whole Numbers

5.NAWN.1
Numbers up to 10 million
• 1.1 reading and writing numbers in numerals and in words,
• 1.2 rounding off numbers to the nearest 1000. 
5.NAWN.2
Four operations
• 2.1 multiplication and division by tens, hundreds and thousands without using calculators,
• 2.2 solving word problems involving the 4 operations,
• 2.3 estimation of answers in calculations,
• 2.4 checking reasonableness of answers. 

5.55

5.620

5.715

5.820

5.915

5.105

5.1120

5.1220

5.1315

5.1420

5.1515

5.1620

5.1720

5.1820

5.1920

5.2015

5.2115

5.2215

5.2320

5.2420

5.2520

5.2620

5.2720

5.2820

5.2920

5.3020

5.3120

5.3220

5.3315

5.3420


5.NAWN.3
Order of operations
• 3.1 combined operations involving the 4 operations,
• 3.2 use of brackets. 

5.3515


5.NAWN.1

Measurement and Geometry

5.MD.1
Length, mass and volume
• 1.1 conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa,
 kilometres and metres
 metres and centimetres
 kilograms and grams
 litres and millilitres 

5.905

5.915


5.MD.1
Angles
• 1.1 angles on a straight line,
• 1.2 angles at a point,
• 1.3 vertically opposite angles. 
5.MD.2
Triangle
• 2.1 identifying and naming the following types of triangles
 isosceles triangle,
 equilateral triangle,
 rightangled triangle,
• 2.2 use of the property that the angle sum of a triangle is 180°,
• 2.3 finding unknown angles,
• 2.4 drawing a triangle from given dimensions using ruler, protractor and set squares. 

5.975


5.MD.2
Area of triangle
• 2.1 identifying the base of a triangle and its corresponding height,
• 2.2 use of formula to calculate the area of a triangle. 

5.9210


5.MD.3
Parallelogram, rhombus and trapezium
• 3.1 identifying and naming parallelogram, rhombus and trapezium,
• 3.2 properties of parallelogram, rhombus and trapezium,
• 3.3 finding unknown angles,
• 3.4 drawing a square/rectangle/parallelogram/rhombus/trapezium from given dimensions using ruler, protractor and set squares. 

5.985

5.995


5.MD.3
Volume of cube and cuboid
• 3.1 building solids with unit cubes,
• 3.2 measurement of volume in cubic units,
• 3.3 drawing cubes and cuboids on an isometric grid,
• 3.4 measurement of volume in cubic centimetres (cm³)/ cubic metres (m³),
• 3.5 use of formula to calculate the volume of a cube/ cuboid,
• 3.6 finding the volume of liquid in a rectangular tank,
• 3.7 conversion between l, ml and cm³,
• 3.8 solving up to 3step word problems involving the volume of a cube/ cuboid.

5.MD.1

Number and Algebra: Percentage

5.NAP.1
Percentage
• 1.1 expressing a part of a whole as a percentage,
• 1.2 use of the percentage symbol (%),
• 1.3 writing fractions and decimals as percentages, and vice versa,
• 1.4 finding a percentage part of a whole,
• 1.5 solving up to 2step word problems involving percentage,
• 1.6 discount, GST and annual interest. 

5.8010

5.8115

5.8215

5.8315


5.NAP.1

Number and Algebra: Decimals

5.NAD.1
Four operations
• 1.1 multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands without using calculators,
• 1.2 solving word problems involving the 4 operations,
• 1.3 rounding off answers to a specified degree of accuracy,
• 1.4 estimation of answers in calculations,
• 1.5 checking reasonableness of answers. 

5.6520

5.665

5.6720

5.6815

5.6915

5.7020

5.7115

5.7220

5.735

5.7410

5.7515

5.7615

5.7715

5.7815

5.7920


5.NAD.1

Number and Algebra: Ratio

5.NAR.1
Ratio
• 1.1 interpretation of a : b and a : b : c, where a, b and c are whole numbers,
• 1.2 writing equivalent ratios,
• 1.3 expressing a ratio in its simplest form,
• 1.4 finding the ratio of two or three given quantities,
• 1.5 finding the missing term in a pair of equivalent ratios,
• 1.6 finding one quantity given the other quantity and their ratio,
• 1.7 solving up to 2step word problems involving ratio. 

5.845

5.855

5.865

5.875

5.8810

5.895


5.NAR.1

Statistics: Data Representation and Interpretation

5.MD.1
Average of a set of data
• 1.1 interpretation of average as "total amount ÷ number of items",
• 1.2 calculation of the average number/quantity,
• 1.3 finding the total amount given the average and the number of items,
• 1.4 solving word problems involving average. 

5.10010

5.10110

5.10210

5.10310

5.10410

5.1055

5.1065

5.1075

5.1085


5.MD.1