Number topics for 8th grade

Calculate square roots

Calculate the square root or nearest integer to the square root for the given numbers

Cube roots

Identify the cube root or nearest integer cube root of each of the given numbers

Multiply indices

Multiply indices with the same base by adding powers e.g. 5a³ x 6a² = 30a⁵

Divide Indices

Divide indices with the same base by subtracting powers e.g. 6b⁵ ÷ 2b² = 3b³

Identify multiples of numbers to 12

Identify multiples of numbers up to 12

LCM using product notation

Identify the lowest common multiple (LCM) of 2 numbers using product notation

HCF using product notation

Identify the Highest Common Factor (HCF) using product notation

Prime factors

Identify the prime factors of each given number using product notation

Standard form: largest number

Compare numbers in standard form and identify the largest

Standard form: smallest number

Compare numbers in standard form and identify the smallest

Standard form: add and subtract

Add or subtract numbers in standard form

Standard form: multiply and divide

Multiply or divide numbers in standard form

Add mixed fractions

Add mixed fractions by converting them to improper fractions. Give your answers as improper fractions

Subtract fractions: mixed

Subtract mixed fractions by subtracting the whole numbers and the fraction parts separately

Multiply mixed fractions

Multiply mixed fractions by turning them to improper fractions and multiplying across; answers as improper fractions

Divide mixed fractions

Divide mixed fractions by turning them to top heavy fractions then flipping signs and the second fraction; answers as improper fractions

Percentage change

Compare two quantities to work out the percentage increase or decrease

Find percentages: multiples of 5

Find percentages using multiples of 5

Find percentages: units and decimals

Find percentages using units and decimals

Find percentages: simple multiplier

Find the quantity using a simple decimal multiplier

Find percentages: medium multiplier

Find the quantity using a medium decimal multiplier

Find percentages: advanced multiplier

Find the quantity using an advanced decimal multiplier

Round decimals to 1 dp

Round each of the given decimal values to 1 decimal place (1 dp)

Round decimals to 2 dp

Round each of the given decimal values to 2 decimal places (2 dp)

Round decimals to 3 dp

Round each of the given decimal values to 3 decimal places (3 dp)

Round numbers to 1 sig fig

Round large and small numbers to 1 significant figure (1 sig fig / 1 s.f.)

Round numbers to 2 sig figs

Round large and small numbers to 2 significant figures (2 sig figs / 2 s.f.)

Round numbers to 3 sig figs

Round large and small numbers to 3 significant figures (3 sig figs)

Estimale by rounding to 1 s.f.

Use rounding to 1 significant figure (1 sig fig / 1 s.f.) to estimate answers to the given calculations