iMath Worksheets: Number: fractions, decimals, percentages, ratio and proportion

Home > iMath Worksheets > Number: fractions, decimals, percentages, ratio and proportion

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Mental arithmetic

A mental arithmetic 'test' comprising ten questions.

Fractions

Fractions
$Recognise fractions example$	Recognise fractions Recognise fractions eg 3/8 Identify fractions on a number line
$Equivalent fractions diagram$	Equivalent Fractions Age 10-11 3/5 = 15/25 Equivalent Fractions diagram maker Instructions: Enter the required fraction eg if you want quarters enter 4, then click on the green button. To delete a row enter 0 then click on the green button. Fraction diagram 1: large A4 diagram with a maximum of ten fractions. Fraction diagram 2: two fraction diagrams each with a maximum of ten fractions.
$Equivalent fraction lines$	Equivalent Fraction lines Identify three fractions on a number line (0 to 1) A number line (0 to 1) split up in to two random fractions, eg 5ths and 20ths. Equivalent fraction lines maker. Enter the required fraction and then click on the green button.
	Lowest common multiple and highest common factor Age 10-11 Find the lowest common multiple of two numbers, eg 6 and 9 Find the highest common factor of two numbers, eg 36 and 27 Cancel fractions to their simplest form Find the unknown numerator or denominator
Match up the questions and answers	Calculate fractions of amounts Age 8-11 Calculate fractions of amounts. eg What is one tenth of 100, 30, 500... eg 3/10 of 50, 20, 100... eg 4/5 of 50, 35, 100... eg 1/5 of 35, 2/3 of 12 Fractions of amounts eg 1/2 of 120, 1/5 of 125 Match up the questions and answers (see example on the left)

Use decimal notation

Age 8-9

Write decimals on a number line eg Write these decimals on a line from 4 to 6: 5.7, 4.5, 4.1, 5.2, 4.9

Age 9-10

Write decimals on a number line eg Write these decimals on a line from 3.9 to 4.1: 3.97, 3.91, 4.01, 3.93, 4.05

Percentages

eg 30% of £50.

Use mental methods to calculate percentages
Age 10-11

Percentage of money

Estimate percentages
Age 10-11

Estimate the percentage of a line that is shaded.

Use proportions to interpret pie charts: estimate the size of each slice.

Equivalence of fractions, decimal and percentages

Age 10-11

Fractions, decimals and percentages less than or greater than 1/2, 1/4 or 3/4

Ratio and proportion

eg 9:36 = 1:4

eg 12:32 = ? : 8

Age 10-11

Simplify a two-part ratio to an equivalent ratio by cancelling.

Simplify a two-part ratio to an equivalent ratio by cancelling. Fill in the missing numbers.

Age 10-11

Fill in the missing numbers on a number line.