Number topics for 6th grade

Order positive integers

Select the set of positive integers that are in ascending order

Order negative integers

Arrange negative integers in ascending order from smallest to largest

Arrange integers ascending

Choose the set of positive and negative integers that are in correct ascending order

Positive decimals

Choose the set of positive decimals that are in ascending order

Positive fractions: ascending order

Arrange these sets of positive fractions in ascending order

Identify square numbers

Identify the square numbers in each of the given groups of integers

Convert exponents to expanded form

Convert between base with exponent and expanded form e.g. 3³ <=> 3 x 3 x 3

Lowest common multiples

Identify the lowest common multiple (LCM) of 2 numbers

Identify factors

Identify the correct set of factors for numbers up to 50

Highest common factor

Identify the Highest Common Factor (HCF) for the given sets of numbers

Prime numbers

Identify the prime number or numbers in each of the given lists

Identify unit fractions

Identify the fractions that are unit fractions, or will simplify to unit fractions

Identify improper fractions

Identify the fraction or fractions that are improper fractions

Identify mixed fractions

Identify the fraction or fractions that are mixed fractions

Identify equivalent fractions

Identify the pairs of fractions that are equivalent

Calculate fractions of amounts

Calculate fractions of quantities, e.g. one third of 12 grams, etc.

Add fractions: common denominator

Add fractions with a common denominator

Add fractions: scale denominator

Add fractions by scaling up the fraction with the smaller denominator; simplify answers where possible

Add fractions using LCD

Add fractions by finding the lowest common denominator (LCD); simplify your answers where possible

Subtract fractions: common denominator

Subtract fractions which share a common denominator

Subtract fractions: scale denominator

Subtract fractions by scaling up the fraction with the smaller denominator

Subtract fractions: LCD

Subtract fractions by finding the lowest common denominator (LCD) of the two fractions

Multiply simple fractions

Multiply pairs of simple fractions and simplify your answers where possible

Multiply fractions with cancelling

Multiply fractions by cross cancelling numbers first

Fractions of amounts

Find fractions of amounts by first dividing by the fraction denominator then multiplying by the numerator

Divide fractions

Divide fractions by flipping one of the fractions (get the reciprocal of the fraction) and multiplying them

Add decimals

Add decimals by first aligning the decimal points of each number

Subtract decimals

Subtract decimals by first aligning the decimal points

Multiply decimals

Multiply decimals by initially removing the decimal point

Divide decimals by integers

Divide decimal numbers by integers

Divide integers by decimals

Divide integer values by decimal numbers

Divide decimals by decimals

Divide decimals by decimals

Multiply decimals by 10 100 1000

Multiply by powers of 10 up to 1000 by moving the digits the correct number of columns to the left

Divide decimals by 10 100 1000

Divide by powers of 10 up to 1000 by moving the digits the correct number of columns to the right

Decimals to fractions

Convert terminating decimals to their equivalent, simplified fractions

Fractions to decimals

Convert fractions to their equivalent terminating decimals

Find percentages: multiples of 10

Find a percentage using multiples of 10

Percentages to fractions

Identify the correct, simplified fraction for each of the given percentages

Percentages to decimals

Identify the correct decimal for each of the given percentages

Fractions to percentages

Identify the correct percentage for each of the given fractions

Fractions and percentages

Compare by converting both fractions and percentages to decimals; select the larger decimal

Round numbers: nearest 10

Round each of the given numbers to the nearest 10

Round numbers: nearest 100

Round each given number to the nearest 100

Round numbers: nearest 1000

Round each of the given numbers to the nearest 1000

Round decimals: nearest integer

Round each of the given decimals to the nearest whole number (integer)