## Grade 6 Math Curriculum

Understanding the Grade 6 Math Syllabus & How You Can Support Your G6 Child

**In Grade 6, revising for exams will be the priority of most parents.**But if your child has a strong foundation in math, they can easily adapt to any question in front of them. We’ve laid out all grade 6 topics in KooBits’ below.

This list is aligned to

**Singapore’s syllabus**, a globally-recognised curriculum. Use it to plug any learning gaps in your child’s progress!

We also have

**100,000+ G1-G6 questions**to give your child the practice they need to excel.

Begin your trial and start preparing your child today ↓

### 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

**improved my Mathematics through practicing daily.**”

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**learn more about Maths in a fun way!**”

**master maths, while having fun at the same time**.

### Videos To Revise G6 Syllabus

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### Master Syllabus Through Habit-Building

KooBits makes learning the G6 syllabus easy by **creating a habit-forming environment**. We use healthy rewards and motivational cues to **encourage students to practice daily**.

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### Connect G6 Syllabus To Real-World Problems

We make the syllabus more exciting and relevant by going into **the “why” behind maths**. There are over 90 hours of educational content, showing students how to use these topics to **solve real world problems**.

**•** Broaden students’ knowledge of the world.

**•** Helps students to apply the skills learnt under each topic.

**•** Aids long-term memory and recall of syllabus.

**Watch enrichment videos for free ↓**