Home>Worksheets>Age 11-14 Fractions, decimals, percentages, ratio and proportion
 Click on the 'change' button and watch the numbers change. Click on the 'print' button to print a pupil worksheet and an answer sheet. The worksheets can be printed providing the password is entered. Buy a password Choose the topic: Primary A: Place value, ordering and rounding B: Properties of numbers & number sequences C: Fractions, decimals & percentages, ratio & proportion D: Mental calculation strategies (+ and -) E: Pencil & paper procedures (+ and -) F: Understanding multiplication & division G: Rapid recall of multiplication & division facts H: Mental calculation strategies (x and divide) I: Pencil & paper procedures (x and divide) J: Using a calculator K: Checking results of calculations L: Solving problems: making decisions M: Reasoning about numbers or shapes N: Problems involving 'real life', money or measures O: Handling data P: Measures Q: Shape and space Secondary A: Applying mathematics and solving problems B: Place value, ordering and rounding C: Integers, powers and roots D: Fractions, decimals, percentages, ratio and proportion E: Number operations and the relationships between them F: Mental methods and rapid recall of number facts G: Calculations: written methods H: Calculations: calculator methods I: Calculations: checking results J: Equations, formulae and identities K: Sequences, functions and graphs L: Geometrical reasoning: lines, angles and shapes M: Transformations N: Coordinates O: Construction & loci P: Measures and mensuration Q: Statistics R: Probability D: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 33 34 35 36 37 38 39 40 41
 Fractions

Recognise fractions

D1:Recognise fractions
eg 3/8

Equivalent Fractions
Year 7 (age 11-12)

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

Multiplication of fractions

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.

D41: Addition, subtraction, multiplication and division of fractions
Two levels.

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.

 8 options Option 1: 1/2, 1/4, 1/5, 1/10 of .. Option 2: 1/2, 1/4, 1/5, 1/6 . . 1/10 of .. Options 1 to 7 have whole number answers Option 3: 1/2, 1/4, 1/5 of 10, 300, 1600 Option 4: 2/5 of 25, 7/10 of 200 Option 5: 1/4, 2/5, 7/10 of 20, 400, 6000 Option 6: 3/10 of 50, 7/100 of 500 Option 7: 3/4 of 64, 2/5 of 125 Option 8: 3/5 of 32, 2/7 of 23

 Percentages

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?

D40: Percentages of amounts

 7 options Option 1: 5%, 10%, 15% 20% of.. Option 2: 5%, 10%, 15% 20% of £ Options 1 to 7 have whole number answers Option 3: Mulitples of 10% of and 11% of .. Option 4: Multiples of 5% of multiples of 10 Option 5: Less than 10% of less than £20 Option 6: Percentages with a calculator Option 7: Percentages of £ with a calculator

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.

 Equivalence of fractions, decimals and percentages

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

 Ratio and proportion

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)

Year 7 (age 11-12)

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

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