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## Primary 5 Maths

Here is a list of all of the maths skills students learn in Primary 5! These skills are organised into topics. To start practising these skills, log in your KooBits account and choose any topic and skill under Mission.

### 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