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## Primary 6 Maths

Here is a list of all of the maths skills students learn in Primary 6! These skills are organised into topics. To start practising these skills, log in your KooBits account and choose any topic and skill under Mission.

### Algebra

- Represent an unknown number using a letter
- Finding unknowns in equations
- Substitute the letter with a given number
- Write simple algebraic expressions
- Simplify algebraic expressions
- Solve word problems involving algebraic expressions

### Fractions

- Divide a proper fraction by a whole number
- Divide a whole number by a proper fraction
- Divide a proper fraction by a proper fraction
- Solve word problems involving fractions

### Ratio

- Express one quantity as a fraction of another, given their ratio
- Find ratio of one quantity to another, given their fraction
- Ratio of three quantities – Involving common multiples
- Solve word problems involving ratio of three quantities
- Solve word problems involving fractions and ratios
- Solve word problems involving 2 pairs of ratios
- Ratio – One Unchanged Quantity
- Ratio – Unchanged Total
- Ratio – Unchanged Difference

### Percentage

- Find the whole given a part and the percentage
- Find the percentage increase or decrease
- Solve word problems involving percentage (using Calculator)

### Angles In Geometric Figures

- Find unknown angles in geometrical figures involving square
- Find unknown angles in geometrical figures involving rectangle
- Find unknown angles in geometrical figures involving triangle
- Find unknown angles in geometrical figures involving parallelogram
- Find unknown angles in geometrical figures involving rhombus
- Find unknown angles in geometrical figures involving trapezium
- Find unknown angles in geometrical figures involving square, rectangle and triangle
- Find unknown angles in geometrical figures involving parallelogram, rhombus and trapezium

### Area and Circumference of Circle

- Parts of a Circle
- Calculate the circumference of a circle
- Find the area and perimeter of semicircle and quarter circle
- Calculate the area of a circle
- Find the area of semicircle and quarter circle
- Find area and perimeter of a figure made up of square, rectangle, triangle, semicircle and quarter circle
- Solve word problems involving area and perimeter

### Speed

- Find speed, given distance and time
- Find distance, given speed and time
- Find time, given distance and speed
- Solve up to 3-step word problems involving speed and average speed

### Volume Of Cube and Cuboid

- Find one dimension of a cuboid given its volume and the other dimensions
- Find the length of one edge of a cube given its volume
- Find the height of a cuboid given its volume and base area
- Find the area of a face of a cuboid given its volume and one dimension
- Use of square root and cubic root symbol
- Solve word problems involving volume of a cube and cuboid

### Pie Charts

- Read and interpret pie charts
- Solve 1-step word problems using information presented in pie charts

### Solid Figures and Nets

- Identify cube, cuboid, cone, cylinder, prism and pyramid
- Identify nets that can form cubes
- Identify a face of cube from its given nets
- Identify nets that can form cuboid
- Identify nets that can form pyramid
- Identify nets that can form prism
- Identify nets of cube, cuboid, prism and pyramid
- Identify the solid which can be formed by a given net

### High-ability - Algebra

- Given relationship between two parties, find total amount
- Given amount for two transactions, find final amount
- Given quantity-item relationship & one absolute quantity, find total quantity
- Given absolute amount, quantity of items & a fractional relationship, find total amount
- Given absolute amount, unit price and quantity-price relationship
- Given total quantity, unit quantity & one absolute quantity
- Given repeated-quantity relationship & absolute age
- Given repeated-quantity relationship & absolute relationship among parties
- Given total cost & quantity-cost relationship, find unit cost
- Given average, fractional relationship & one absolute amount

### High-ability - Fractions

- Involving division of a proper fraction by a proper fraction
- Involving division of a proper fraction by a proper fraction & get number of items
- Involving division of a whole number by a proper fraction
- Involving division of a proper fraction by a proper fraction & fraction multiplication
- Involving division of a proper fraction by a proper fraction & fraction subtraction

### High-ability - Ratio

- Given ratio & one absolute amount, find transfer amount
- Given increase in quantity & ratio before and after quantity change, find initial quantity
- Given two ratio sets & one absolute amount
- Given price ratio before and after discount, find discounted price
- Given quantity ratio & total value of notes, find quantity of notes of a specific value
- Given fractional relationship & total age, find age ratio
- Given initial ratio, fractional spending & final amount difference, find amount for one party
- Given additional quantity & quantity ratio before and after, find final difference
- Given initial ratio, quantity added & repeated quantity after change, find quantity of an item
- Given two absolute amount & ratio between parties, find amount for one party
- Given fractional relationship & age ratio, find age of one party
- Given fractional relationship, find ratio
- Given ratio, fractional and absolute quantity of notes taken away & remaining value, find quantity of notes of a specific value
- Given initial ratio, saving amount & final ratio, find final amount
- Given two transfer events & corresponding ratio, find amount for one party

### High-ability - Percentage

- Given percentage relationship, change amount and percentage, find absolute amount
- Given percentage relationship, change amount and percentage, find absolute amount
- Given earning percentage & one price, find earning at another price
- Given discount percentage & price, find discount percentage at another price
- Given percentage relationship, change amount and total amount, find initial salary
- Given percentage & transaction amounts, find initial amount
- Given percentage relationship between groups and sub-groups, find percentage a sub-group
- Given two sets of percentage, find percentage relationship
- Given percentage discount, price & percentage relationship, find discounted price
- Given percentage relationship, find ratio
- Given percentage relationship before and after a change in quantity, find the change in quantity
- Given percentage relationship before and after a change in quantity, find final ratio
- Given savings percentage, change in percentage and amount, find salary
- Given percentage relationship, change in quantity and percentage, find initial quantity
- Given total quantity, percentage relationship & percentage sales, find quantity of items unsold

### High-ability - Angles

- Angles involving triangles and rectangles
- Angles involving triangles and squares
- Angles involving triangles and parallelograms
- Angles involving triangles and rhombus
- Angles involving triangles and trapezium
- Angles involving two four-sided figures

### High-ability - Circles

- Given radius, find perimeter of a quadrant or semicircle
- Given radius, find total area of quadrants or semicircles
- Given number of turns & diameter, find distance travelled
- Given side of square, find area of the figure
- Given radius, find shaded area of the figure “
- Find area for patterns involving circles and triangles ”
- Given side of square, find area of the figure
- Given perimeter, find area of a circle
- Find perimeter of composite figures made of circles and other shapes
- Find area of composite figures made of circles and other shapes

### High-ability - Speed

- Given average speed, starting and ending time, find distance of journey
- Given starting and ending time & distance of journey, find average speed
- Given distance of journey, average speed & ending time, find starting time
- Given starting and ending time & average speed of first journey, starting time & relative speed of return journey, find return time
- Given total time, average speed & distance for first part of journey, find average speed for remaining journey
- Given distance & starting and ending time, find time to travel another journey
- Given average speed & time of travel, find total distance
- Given time of travel, a fractional distance & an absolute distance, find average speed
- Given Distance-Speed-Time relationship for two trips, find difference in average speed
- Given length of train, tunnel & average speed, find time of travel
- Given time of race, fractional distance & difference in speed, find distance of race
- Given two sets of starting time & average speed, find catch-up time
- Given fractional distance, average speed and time for first journey & remaining distance, find total time of travel
- Given time lapse, distance apart & speed difference, find average speed of one party
- Given Distance-Speed-Time relationship of two parties, find catch-up time

### High-ability - Volume

- Given total surface area of cubes, find total volume
- Given total volume of cubes, find total surface area
- Given initial water level, base dimension of tank & change in volume, find height of water
- Given volume of water, fractional volume & bottom dimension, find height of tank
- Given volume of two liquids & height of one liquid, find the height of the other liquid
- Given rate of flow & tank dimensions, find time taken to fill up the tank
- Given dimensions of first tank & base area of second tank, find height of water
- Given base area of tank, rate of flow & duration of flowing tap, find volume of water
- Given dimensions of tank, duration of flowing tap, rate of flow, find volume of overflow

### High-ability - Pie Charts

- Solve problem using data given in a Pie Chart, involving percentage
- Solve problem using data given in a Pie Chart, involving fractions