## Grade 5 Math Curriculum

Understanding the Grade 5 Math Syllabus & How You Can Support Your G5 Child

**Grade 5 math feels like a steep hill for many students. **There are more concepts to learn, teachers go deeper into each topic, and there is a heavier emphasis on exams.

We’ve laid out all the KooBits G5 math syllabus below. These are aligned to **Singapore’s syllabus**, a globally-recognised curriculum. Use it to help your child fill learning gaps before the G5 exams!

If you need more practice, we have **100,000+ G1-G6 questions** to help your child conquer exams confidently. Begin your trial and start your preparation today ↓

### Whole Numbers

- Count by ten thousands
- Count by hundred thousands
- Write numbers to 1 000 000 in numerals
- Write numbers to 1 000 000 in words
- Count by millions to 10 000 000
- Write numbers to 10 000 000 in numerals
- Write numbers to 10 000 000 in words
- Find the value of each digit using a place value chart
- Find the expanded form of a 6-digit number
- Identify the place value and value of any digit
- Write numbers to 10 million in expanded form
- Compare numbers to 1 000 000 using greater than and less than
- Compare numbers up to 10 000 000
- Complete number patterns involving numbers to 10 000 000
- Find the tens/hundreds/thousands to be added to a number to obtain a given value
- Find the difference between two numbers rounded to the nearest tens/hundreds/thousands

### Four Operations of Whole Numbers

- Rounding numbers to the nearest hundred or thousand
- Rounding numbers to estimate sums
- Rounding numbers to estimate differences
- Rounding numbers to estimate products
- Estimate quotients using compatible numbers
- Multiply by 10
- Multiply by 100
- Multiply by 1000
- Multiply by tens
- Multiply by hundreds
- Multiply by thousands
- Divide by 10
- Divide by 100
- Divide by 1000
- Divide by tens
- Divide by hundreds
- Divide by thousands
- Rules for order of operations on numbers (without brackets)
- Rules for order of operations on numbers (with brackets)
- Calculate, involving only addition and subtraction
- Calculate, involving only multiplication and division
- Calculate, involving addition, subtractoin, multiplication and division
- Calculate, involving brackets
- Calculate and apply the order of operations
- Estimate the answer and check reasonableness of the calculated answer
- Solve multi-step problems involving whole numbers
- Solve word problems using systematic lists

### Fractions

- Division of Whole Numbers as Fractions
- How Fraction and Division are Related
- Concepts of Fraction and Division (Part-Whole Model)
- Express division as fractions
- Express division as mixed numbers
- Express fractions as decimals
- Express division as decimals
- Express mixed numbers as decimals
- Add unlike fractions
- Subtract unlike fractions
- Multiply a proper or improper fraction by a whole number
- Solve world problems involving multiplication of fractions

### Four Operations of Fractions

- Add mixed numbers without regrouping
- Add mixed numbers with regrouping
- Subtract mixed numbers without regrouping
- Subtract mixed numbers with regrouping
- Express division as fractions and mixed numbers
- Multiply a proper fraction and a whole number
- Multiply an improper fraction and a whole number
- Multiply proper fractions
- Multiply improper fractions by proper fractions
- Multiply an improper fraction by an improper fraction
- Multiply mixed numbers by whole numbers
- Express the product of a mixed number and a whole number as a decimal
- Fraction of a Remainder
- Solve word problems involving multiplying with proper fractions
- Solve two-step problems involving multiplying with mixed numbers

### Area of Triangle

- Identify the base and corresponding height of a triangle
- Calculate the area of a triangle given a base and corresponding height
- Find area of a triangle
- Find area involving triangles and rectangles
- Find area involving triangles

### Volume of cube and cuboid

- Measure volume in cubic units
- Measure volume in cubic centimetres and cubic metres
- Find volume of a cuboid by computing the product of its length, breadth and height
- Find one dimension of a cuboid knowing its volume and other dimensions
- Volume of liquid in cubic centimetres and cubic metres
- Find volume of liquid in a rectangular tank

### Ratio

- Find ratio (idea of ratio)
- Find the equivalent ratios
- Express a ratio in its simplest form
- Find one quantity given the other quantity and their ratio
- Find a quantity given the total amount and the ratio
- Solve up to 2-step word problems involving ratio
- Ratio of three quantities – Involving common factors
- Solve word problems involving ratio of three quantities

### Decimals

- Multiply by 10
- Multiply by 100
- Multiply by 1000
- Multiply decimals by tens
- Multiply by hundreds
- Multiply by thousands
- Divide by 10
- Divide by 100
- Divide by 1000
- Divide decimals by tens
- Divide by hundreds
- Divide by thousands
- Convert between kilograms and grams
- Convert between metres and centimetres
- Convert between kilometres and metres
- Convert between litres and millilitres

### Rate

- Finding Rates involving Time
- Finding Rates involving Money
- Finding Total Amount involving Time
- Finding Total Amount involving Money
- Finding Number of Units

### Percentage

- Express a part of a whole as a percentage
- Finding a percentage part of a whole
- Express fractions and decimals as percentages
- Express percentages as fractions and decimals
- Finding a percentage of a quantity
- Solve problems involving discount
- Solve problems involving GST
- Solve problems involving annual interest

### Average

- Find an average in a set of data
- Find total value given average and number of data
- Find number of data given average and total value
- Solve up to 3-step word problems involving average

### Angles

- Find vertically opposite angles
- Find an angle on a straight line
- Find an angle at a point
- Find an angle at a point, involving right angles

### Properties of Triangles

- Properties of isosceles triangle
- Properties of equilateral triangle
- Properties of right-angled triangle
- Properties of acute-angled triangle
- Properties of obtuse-angled triangle
- Identify different types of triangles
- Angle sum of a triangle
- Find unknown angles using properties of triangles
- Find an angle in a triangle
- Find an angle involving an isosceles triangle

### Parallelgram, Rhombus and Trapezium

- Properties of parallelogram
- Properties of rhombus
- Properties of trapezium
- Identify and name parallelogram, rhombus and trapezium
- Find unknown angles using properties of parallelogram, rhombus and trapezium
- Find an angle involving an isosceles triangle & a parallelogram
- Find an angle involving an isosceles triangle inside a parallelogram
- Find an angle involving a parallelogram
- Find an angle involving a square & a rhombus
- Find an angle involving a triangle & a parallelogram
- Find an angle involving a trapezium

### High-ability - Whole Numbers

- Find the mass of a container given total mass with different quantity of items
- Find the age of a person given the age difference and repeated-quantity relationship between the persons some years later
- Given events of operations & final value

### High-ability - Whole Numbers (Money)

- Given total amount, repeated-quantity & a difference relationship, find the amount for one person
- Given transfer amount & relationship between two persons before and after the transfer, find final amount for one person
- Given the amount of spending and repeated-quantity relationship, find the final amount for a person
- Given the initial repeated-quantity relationship and the change in amount/quantity, find initial total amount/quantity
- Given total value & quantities of notes exchanged
- Given quantity-cost relationship & repeated-quantity relationship between items
- Given quantity-cost relationship & absolute cost difference between items

### High-ability - Fractions

- Given relationship between fractional & repeated-quantity values, find the value of a number
- Given total mass expressed in fraction
- Given fractional quantity & absolute quantities of items
- Given fractional quantity, absolute quantity of one group & sub-groups relationship
- Given fractional quantity, absolute quantity, & repeated-quantity relationship
- Given total quantity of combinations involving a common item

### High-ability - Fractions (Money)

- Given a number & fractional relationship among different numbers, find total value
- Given fractional amount & absolute transfer amounts, find an absolute amount
- Given fractional amount & absolute amount in repeated-quantity, find the total amount
- Given repeated-quantity & fractional relationship, find the total amount
- Given unit value & fractional relationship
- Given fractional savings amount & difference in total savings
- Given total amount, fractional & absolute relationship
- Given total amount & repeated-quantity relationship between a unit value and a fraction
- Given fraction and the increase in fraction & value

### High-ability - Volume

- Given total volume & quantity, find edge of a cube
- Given dimensions of a container & fractional volume, find absolute differential volume
- Given base area of container & rate of flow, find absolute volume of water
- Given dimension of one container, fractional volume & base area of another container
- Given base area, rate of flow & absolute volume, find height
- Solve up to 3-step word problems involving volume of cuboids

### High-ability - Ratio

- Given ratio & absolute amount of one party
- Given ratio & absolute quantity difference
- Given ratio & transfer amount
- Given ratio and total quantity, find one quantity
- Given ratio of items before and after addition & additional quantity
- Given two ratio sets among three parties
- Given two ratio sets among three parties & amount for one party
- Given two sums & one ratio set among three parties
- Given ratio before and after a timeframe
- Given ratio before & total quantity after a timeframe

### High-ability - Decimals

- Find fraction of a measurement unit involving conversion of units
- Conversion from fraction to decimal, operation on decimals, & rounding off
- Given unit price, item quantity and total amount, find change amount
- Given operations & final value, find mystery number
- Given item quantity, unit mass & final mass, find initial mass
- Find number expressed in tens/hundreds/thousands and tenths/hundredths/thousandths
- Given unit distance, quantity & additional distance, find total distance
- Given total height, height relationship among 3 people, find height of one person

### High-ability - Rate

- Finding Rates involving Time
- Finding Rates involving Money
- Finding Total Amount involving Time
- Finding Total Amount involving Money
- Finding Number of Units

### High-ability - Percentage

- Given annual savings & savings percentage, find monthly salary
- Given absolute amount for one party & percentage relationship between parties. Find total amount
- Given percentage interest, and initial amount, find total amount after a timeframe
- Given percentage relationship & total quantity, find value difference
- Given original price & percentage discount, find amount payable
- Given percentage & an absolute amount, find total amount
- Given percentage discount and percentage GST, find GST value
- Given discount values, find percentage discount

### High-ability - Average

- Given average height & relationship between two parties, find height of one party
- Given average amount & transfer amount, find initial amount
- Given average for all, repeated quantity relationship & differential amount, find amount for one party
- Given average sales quantity & increase in average, find increase in absolute quantity
- Given average before and after the addition of new numbers, find average of new numbers

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

### Videos For Revising G5 Syllabus

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### Connect G5 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**.

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