Fractions, Decimals & Percentages

Simplifying Fractions

Learning objectives: Pupils should successfully be able to use common factors to simplify fractions; use common multiples to express fractions in the same denomination

Simplifying Fractions

Worksheet

Quiz

simplifying fractions

1 / 10

Which of the following fractions cannot be simplified further?

6/8

10/12

7/14

5/9

2 / 10

Simplify 9/27

1/9

3/9

1/3

2/3

3 / 10

Which fraction is equal to 16/24 in its simplest form?

4/6

2/3

3/4

8/12

4 / 10

What is 14/21 simplified?

2/7

7/14

2/3

1/3

5 / 10

Simplify 20/25

4/5

2/5

5/4

10/15

6 / 10

Which of these fractions is already in its simplest form?

8/12

5/10

3/7

9/15

7 / 10

What is the simplest form of 12/18

6/9

2/6

3/4

2/3

8 / 10

Simplify 10/15

1/5

2/5

2/3

5/10

9 / 10

what fraction is equivalent to 6/9 when simplified?

1/3

2/3

3/4

6/3

10 / 10

What is 4/8 in its simplest form

1/4

2/8

1/2

4/4

Your score is

The average score is 90%

Ordering Fractions

Learning objectives Pupils should successfully be able to compare and order fractions, including fractions >1

Ordering Fractions

Worksheet

Quiz

ordering fractions

1 / 9

Which fraction is between 1/4 and 1/2?

1/5

2/8

3/8

5/8

2 / 9

Which list shows fractions in descending order?

2/9, 2/7, 2/5

2/5, 2/7, 2/9

2/7, 2/5, 2/9

2/5, 2/9, 2/7

3 / 9

Order these fractions from smallest to largest 2/3, 3/6, 1/3

1/3, 3/6, 2/3

2/3, 3/6, 1/3

3/6, 1/3, 2/3

1/3, 2/3, 3/6

4 / 9

Which fraction is the smallest?

3/4

3/5

3/10

3/7

5 / 9

Which set shows fractions in order from smallest to largest?

1/8, 1/4, 1/2

1/2, 1/4, 1/8

1/4, 1/8, 1/2

1/2, 1/8, 1/4

6 / 9

Which of these fractions is equivalent to 1/2?

2/5

3/6

4/10

5/8

7 / 9

Put these fractions in order from largest to smallest 1/2, 1/4, 3/4

1/4, 1/2, 3/4

3/4, 1/2, 1/4

1/2, 3/4, 1/4

3/4, 1/4, 1/2

8 / 9

Which fraction is the largest?

2/3

2/5

2/8

2/10

9 / 9

Which set of fractions is in order from smallest to largest?

3/5, 1/5, 4/5

1/5, 3/5, 4/5

4/5, 3/5, 1/5

1/5, 4/5, 3/5

Your score is

The average score is 100%

Adding and Subtracting Fractions

Learning objectives: Pupils should successfully be able to add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

Adding and Subtracting Fractions

Worksheet

Quiz

adding and subtracting fractions

1 / 10

Subtract 5/6 – 1/3

4/6

2/3

1/2

3/6

2 / 10

What is 1/2 + 1/4

2/6

3/4

1/6

2/4

3 / 10

Subtract 4/5 – 1/5

3/10

5/5

3/5

2/5

4 / 10

Add 2/9 + 5/9

7/18

10/9

7/9

3/9

5 / 10

What is 3/5 – 1/10

2/5

1/2

4/10

5/10

6 / 10

Add 1/3 + 1/6

2/9

1/2

2/6

3/6

7 / 10

What is 7/10 – 3/10

4/20

10/10

4/10

2/5

8 / 10

Add 1/4 + 2/4 . Give your answer in its simplest form.

3/8

2/4

3/4

1/2

9 / 10

What is 5/8 – 2/8

3/16

7/8

3/8

1/4

10 / 10

What is 2/7 +3/7

5/14

6/7

5/7

1/7

Your score is

The average score is 100%

Multiplying Fractions

Learning objectives: Pupils should successfully be able to multiply simple pairs of proper fractions, writing the answer in its simplest form.

Multiplying Fractions

Worksheet

Quiz

multiplying fractions

1 / 10

Which calculation is the same as 2/5 + 2/5 + 2/5 + 2/5 ?

2 x 4/5

4 x 2/5

8/20

4/5

2 / 10

What is 5/6 x 3

8/6

15/6

5/18

2/6

3 / 10

A recipe uses 3/4 cup of milk. How much milk is needed for 5 batches?

15/4 cups

8/4 cups

3/20 cups

3/4 cups

4 / 10

What is 3 x 4/9

12/9

7/9

4/3

Both A and C

5 / 10

What is 7 x 1/10

1/70

8/10

7/10

10/7

6 / 10

Multiply 2/7 x 6

12/7

8/7

12/42

2/13

7 / 10

What is 4 x 3/8

12/8

7/8

12/32

3/2

8 / 10

Which calculation gives the same result as 1/5 + 1/5 + 1/5

5 x 1/3

3 x 1/5

3/15

1/8

9 / 10

Work out 5 x 2/3

10/15

7/3

10/3

2/15

10 / 10

What is 3 x 1/4

1/12

3/4

4/3

1/7

Your score is

The average score is 100%

Dividing Fractions by Whole Numbers

Learning objectives: Pupils should successfully be able to divide proper fractions by whole numbers

Dividing Fractions by Whole Numbers

Worksheet

Quiz

Dividing fractions by whole numbers

1 / 10

What is 1/2÷ 2

1/4

2/2

1/1

3/2

2 / 10

1/3 ÷ 4

1/7

4/3

1/12

3/4

3 / 10

A pizza is cut into 5 equal slices. One slice is 1/5 of the pizza. If Mia shares her slice equally with her brother, what fraction of the whole pizza does each get?

1/10

2/5

1/2

1/15

4 / 10

What is 3/4 ÷ 3

3/12

1/4

9/4

2/4

5 / 10

Which calculation gives the same result as 2/5 ÷ 2?

2/5 x 2

2/5 x 1/2

5/2 x 2

2/10 x 5

6 / 10

What is 4/7 ÷ 2

2/7

4/14

8/7

Both A and B

7 / 10

What is 5/6 ÷ 5

1/6

25/6

5/30

Both A and C

8 / 10

Tom has 3/8 of a chocolate bar. He shares it equally between himself and two friends (3 people total). How much does each person get?

3/24

1/8

1/3

3/11

9 / 10

What is 2/9 ÷ 2?

1/9

2/18

4/9

Both A and B

10 / 10

Which of these is true?

1/4 ÷ 2= 1/2

3/5 ÷3=1/5

2/3 ÷ 2= 2/6

Both B and C

Your score is

The average score is 70%

Multiplying or Dividing by 10, 100, 1000

Learning objectives: Pupils should successfully be able to identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places

Multiplying or Dividing by 10, 100, 1000

Worksheet

Quiz

Multiplying by 10,100,1000

1 / 10

What is 47 x 10?

470

407

4700

2 / 10

what is 5200 ÷ 100?

520

5.2

52000

3 / 10

Which calculation gives the answer 3.6?

36 x 10

360 ÷ 100

0.36 x 100

36 ÷ 1000

4 / 10

What is 8.4 x 100?

804

840

8400

5 / 10

What is 9000÷1000?

900

0.9

6 / 10

Which number is 100 times smaller than 720?

7.2

0.72

7200

7 / 10

What is 0.05 x 1000?

0.5

500

8 / 10

A box weighs 4.8kg. What is the total weight of 10 identical boxes?

48kg

480kg

4.80kg

0.48kg

9 / 10

What is 630÷10?

6.3

6300

0.63

10 / 10

Which statement is true?

2.7 x 100=27

500 ÷100=50

14×1000=14,000

90 ÷100=9

Your score is

The average score is 100%

Multiplying and Dividing with Decimals

Learning objectives: Pupils should successfully be able to

Multiplying and Dividing with Decimals

Worksheet

Quiz

Multiplying and dividing with decimals

1 / 10

Which of these is not equal to 2.4?

0.6 x 4

24 ÷ 10

4.8 ÷ 2

0.8 x 0.3

2 / 10

A bag of sweets weighs 0.24kg. What is the total weight of 5 identical bags?

0.12 kg

1.22kg

1.2kg

12kg

3 / 10

Calculate 3.6 x 0.5

1.8

0.18

7.2

4 / 10

What is 15 ÷ 0.5 ?

7.5

0.3

5 / 10

Which calculation gives the largest answer?

0.4 x 0.5

1.2 ÷ 0.3

0.9 x 0.9

2.4 ÷ 8

6 / 10

Find the value of 0.07 x 8

0.56

5.6

0.056

7 / 10

What is 7.2 ÷ 0.9 ?

0.8

6.3

8 / 10

Which of these is equal to 0.25 x 100 ?

2.5

250

0.025

9 / 10

Calculate 4.8 ÷ 6

0.8

0.08

1.2

10 / 10

What is 0.6 x 5 ?

0.3

3.0

0.30

Your score is

The average score is 0%

Rounding Decimals

Learning objectives: Pupils should successfully be able to solve problems which require answers to be rounded to specified degrees of accuracy

Rounding Decimals

Worksheet

Quiz

Rounding decimals

1 / 10

Which number rounds to 8 when rounded to the nearest whole number?

7.3

8.6

7.5

8.9

2 / 10

Round 5.42 to the nearest tenth (1 decimal place).

5.5

5.4

5.42

5.0

3 / 10

What is 3.7 rounded to the nearest whole number?

3.5

4 / 10

Which statement is **true**?

6.7845 rounded to 3 d.p. is 6.784

2.3099 rounded to 2 d.p. is 2.30

1.9995 rounded to 3 d.p. is 2.000

0.1234 rounded to 4 d.p. is 0.123

5 / 10

What is 12.9999 rounded to 2 decimal places?

12.99

13.00

12.100

13.01

6 / 10

Which of these numbers rounds to **0.500** when rounded to 3 decimal places?

0.4994

0.5006

0.4996

0.5012

7 / 10

A calculator shows 3.14159. What is this rounded to 2 decimal places?

3.14

3.15

3.142

3.1

8 / 10

Which number rounds to **2.90** when rounded to 2 decimal places?

2.893

2.899

2.905

2.910

9 / 10

Round 0.1258 to 3 decimal places.

0.125

0.126

0.130

0.1258

10 / 10

What is 4.736 rounded to 2 decimal places?

4.73

4.74

4.70

4.736

Your score is

The average score is 100%

Converting Fractions to Decimals

Learning objectives Pupils should successfully be able to associate a fraction with division and calculate decimal fraction equivalents

Converting Fractions to Decimals

Worksheet

Quiz

Converting fractions to decimals

1 / 9

What fraction is equal to 0.05

5/10

1/5

5/100

50/100

2 / 9

What is 9/10 as a decimal?

0.09

0.9

9.0

1.9

3 / 9

A pizza is cut into 5 equal slices. One slice is 1/5 of the pizza. What is 1/5 as a decimal?

0.1

0.2

0.5

0.15

4 / 9

Which decimal is equal to 3/4

0.34

0.75

0.30

0.60

5 / 9

What is 1/2 as a decimal?

0.1

0.5

0.2

1.2

6 / 9

Which fraction is equal to 0.8?

1/8

8/100

4/5

2/8

7 / 9

What is 7/100 as a decimal?

0.7

0.07

7.00

0.007

8 / 9

Which decimal is equal to 1/4

0.14

0.4

0.25

0.75

9 / 9

What is 3/10 as a decimal?

0.03

0.3

3.0

0.33

Your score is

The average score is 100%

Fractions, Decimals and Percentages

Learning objectives Pupils should successfully be able to recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

Fractions, Decimals and Percentages

Worksheet

Quiz

F,d,p

1 / 10

What is 7/10 as a percentage?

17%

70%

0.7%

2 / 10

Which set shows three equivalent values?

1/5, 0.1, 10%

2/10, 0.2, 20%

3/4, 0.34, 34%

1/2, 0.25, 50%

3 / 10

What is 10% as a fraction in its simplest form?

10/100

1/10

1/100

10/10

4 / 10

A shop offers a discount of 1/4 off. What is this as a percentage?

14%

40%

25%

75%

5 / 10

Which of the following is not equal to 0.6?

3/5

60%

6/100

60/100

6 / 10

What is 2/5 as a decimal and a percentage?

0.2 and 20%

0.4 and 40%

0.5 and 50%

0.25 and 25%

7 / 10

Which fraction is equivalent to 75%

3/5

1/4

3/4

7/10

8 / 10

What is 0.8 as a percentage?

80%

0.8%

88%

9 / 10

Which decimal is equivalent to 25%

0.025

0.25

2.5

0.75

10 / 10

What is 1/2 as a percentage?

12%

20%

50%

25%

Your score is

The average score is 100%

Fractions, Decimals & Percentages

Simplifying Fractions

Ordering Fractions

Adding and Subtracting Fractions

Multiplying Fractions

Dividing Fractions by Whole Numbers

Multiplying or Dividing by 10, 100, 1000

Multiplying and Dividing with Decimals

Rounding Decimals

Converting Fractions to Decimals

Fractions, Decimals and Percentages

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