Recognise fractions

D1:Recognise fractions
eg 3/8

Equivalent Fractions
Year 7 (age 11-12)

D2: 3/5 = 15/25

Equivalent Fractions diagram maker

Instructions: Enter the required fraction, if you want quarters enter 4, then click on the green button. To delete a row enter 0 then click on the green button.

D3a: Fraction diagram 1: large vertical A4 diagram with a maximum of ten fractions.
D3b: Fraction diagram 2: two fraction diagrams each with a maximum of ten fractions.

Equivalent Fraction lines

D4: Identify three fractions on a number line (0 to 1)
D5: A number line (0 to 1) split up in to two random fractions, eg 5ths and 20ths.
D3c: Equivalent fraction lines maker. Enter the required fraction and then click on the green button.

Lowest common multiple and highest common factor

Year 7 (age 11-12)

D6: The lowest common multiple of two numbers, eg 6 and 9
Two options: Click 1 or 2. Option 1 is slightly easier than option 2.
D7: Find the highest common factor of two numbers, eg 36 and 27
D8: Cancel fractions to their simplest form
D9: Find the unknown numerator or denominator

Addition, subtraction, multiplication and division of fractions
Years 7-9 (age 11-14)

D34: Addition and subtraction of fractions
Use these buttons to generate a worksheet:

From the left: Addition basic, Addition more difficult, Subtraction basic, Subtraction more difficult.

D35: Multiplication and division of fractions
Use these buttons to generate a worksheet:

From the left: Multiplication basic, Multiplication more difficult, Division basic, Division more difficult.

Calculate fractions of amounts

Year 7 (age 11-12)
Calculate fractions of amounts.

D10: What is one tenth of 100, 30, 500...
D11: 3/10 of 50, 20, 100...
D12: 4/5 of 50, 35, 100...
D13: 1/5 of 35, 2/3 of 51

D14: Fractions of amounts eg 1/2 of 120, 1/5 of 125

Year 8 (age 12-13)
Calculate fractions of amounts.

D15: 3/5 of 17, 2/3 of 25

Year 7 (age 11-12)
Use mental methods to calculate percentages

D16: Percentage of money (10%, 15%, 25%, 50% and 75%)
D17: Percentage of money (multiples of 10% and whole number percentages less than 10%)

Use a calculator to calculate percentages

D18: Percentage of money eg 23% of £345

Year 8 (age 12-13)
Use mental methods to calculate percentages

D19: Percentage of money (multiples of 5%)

Years 8-9 (age 12-14)
Calculate percentage increase or decreases

D33: Percentage increases or decreases
Four levels of difficulty: use the 1,2,3,4 buttons to generate a worksheet.

 

D38: Percentage increases or decreases what is the percentage increase or decrease?

Estimate percentages
Year 7 (age 11-12)

D20: Estimate the percentage of a line that is shaded.

D21: Use proportions to interpret pie charts: estimate the size of each slice.

Year 8 (age 12-13)

D22: Estimate percentages and amounts from pie charts.

Calculate percentages of amounts using a calculator
Year 8 (age 12-13)

D23: Calculate percentages of a total, a pie chart is shown.

eg 250 people represents 31%
250 ÷ 31represents 1%
250 ÷ 31 x 100 represents 100%

Year 9 (age 13-14)

D24: Use a unitary method to calculate amounts, a pie chart is shown.

 

Year 7 (age 11-12)

D25: Fractions, decimals and percentages less than or greater than 1/2, 1/4 or 3/4

Years 7-8 (age 11-13)

D37: Fractions, decimals and percentages in a table with or without a calculator

eg 9:36 = 1:4

eg 12:32 = ? : 8

Year 7 (age 11-12)

D26: Simplify a two-part ratio to an equivalent ratio by cancelling.
D27: Simplify a two-part ratio to an equivalent ratio by cancelling. Fill in the missing numbers.

D36: Simplify a two-part ratio to an equivalent ratio by cancelling. Fill in the missing numbers.
Numbers in a rectangle: see example on the left.

Years 7-8 (age 11-13)

D29: Divide an amount into two parts in a given ratio.

Year 7 (age 11-12)

D28: Fill in the missing numbers on a number line.