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# Mathematics Primary 6

#### Fractions

Four operations
Include division of a whole number/proper fraction by a proper fraction without using calculators.

#### Percentage

• finding the whole given a part and the percentage,
• finding percentage increase/decrease,
• solving word problems involving percentage.

#### Ratio

• expressing one quantity as a fraction of another, given their ratio, and vice versa,
• finding how many times one quantity is as large as another, given their ratio, and vice versa,
• expressing one quantity as a fraction of another given the two quantities,
• finding the whole/ one part when a whole is divided into parts in a given ratio,
• solving word problems involving 2 pairs of ratios.

#### Distance, time and speed

Concepts of speed and average speed, relationship between distance, time and speed

*Distance = Speed × Time,
*Speed = Distance ÷ Time,
*Time = Distance ÷ Speed,

#### Measurement

Area and circumference of circle

* use of formulae to calculate the area and circumference of a circle,finding the area and perimeter of
*semicircle (half circle)
*quarter circle
* solving word problems involving area and perimeter.

Area and perimeter of composite figure
* finding the area and perimeter of a figure made up of some of the following shapes: square, rectangle, triangle, semicircle and quarter circle.

Volume of cube and cuboid

• finding one dimension of a cuboid given its volume and the other dimensions,
• finding the length of one edge of a cube given its volume,
• finding the height of a cuboid given its volume and base area,
• finding the area of a face of a cuboid given its volume and one dimension,
• use of the symbols √ and ∛,
• solving word problems involving volume of a cube/ cuboid.

#### Geometry

Geometrical figures

• Include finding unknown angles in geometrical figures involving square, rectangle, parallelogram, rhombus, trapezium and triangle.

Nets

• 2-D representation of cube, cuboid, cone, cylinder, prism and pyramid,
• identifying nets of the following solids
• *cube,
• *cuboid, *prism,
• *pyramid,
• identifying the solid which can be formed by a given net, making 3-D solids from given nets.

#### Data Analysis

Pie charts

• reading and interpreting pie charts,
• solving 1-step problems using information presented in pie charts.

#### Algebra

Algebraic expressions in one variable

• representation of an unknown number using a letter,
• simple algebraic expressions such as

```y ± 2, 6 ± y y+y 3y y / 2 (3±y) / 5```

• interpreting

`3y` as `y+y+y` or `3 * y`

`y/2` as `y ÷ 2` or `1/2 * y`

`(3±y) / 5` as `(3±y) ÷ 5` or `1/5 × (3±y)`

• simplification of algebraic expressions,
• evaluation of simple algebraic expressions by substitution, solving word problems involving algebraic expressions.