Year 3 Fractions Worksheet - Intermediate

Year 3 Fractions worksheet for Year 3 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Fractionsintermediate

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Fraction Explorers: Tenths, Sets and Sums

Year 3 | Ages 7–8 | Intermediate

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Instructions: Work through each activity carefully and write your answers in the boxes. Fractions with the same denominator have equal-sized parts; use this idea to compare, add and subtract them. You may draw small sketches to help you think.

Count in Tenths

Count forwards or backwards in tenths, keeping the denominator as 10. Write the missing fraction in each box. Remember that ten tenths make one whole.

1. 0/10, 1/10, 2/10, , 4/10

2. 3/10, 4/10, , 6/10, 7/10

3. 9/10, 8/10, , 6/10, 5/10

4. 6/10, 5/10, 4/10, , 2/10

5. 5/10 + 5/10 =

Tenths Mean Dividing by 10

A tenth is one of ten equal parts. Find one tenth by dividing the whole amount by 10; then use that answer to find the requested number of tenths. Write each answer in its box.

1. One tenth of 30 is 30 ÷ 10 =

2. One tenth of 60 is 60 ÷ 10 =

3. Three tenths of 40 is 3 × (40 ÷ 10) =

4. Four tenths of 50 is 4 × (50 ÷ 10) =

5. Seven tenths of 20 is 7 × (20 ÷ 10) =

Fractions of Sets

For each set, divide the objects into the number of equal groups shown by the denominator. Find the amount in one group, then find the requested fraction of the set.

1. 1/4 of 12 apples =

2. 3/4 of 12 apples =

3. 1/5 of 20 balloons =

4. 2/5 of 20 balloons =

5. 3/8 of 16 books =

Equivalent Fractions

Equivalent fractions name the same amount. Fill each box with the missing numerator or denominator so the two fractions are equivalent. Use small equal groups or a drawing if it helps.

1. 1/2 = /4

2. 1/3 = 2/

3. 2/4 = /2

4. 2/3 = 4/

5. 3/6 = 1/

Add and Subtract Like Fractions

When the denominators are the same, add or subtract the numerators and keep the denominator unchanged. Check that each answer is no greater than one whole.

1. 2/8 + 3/8 =

2. 1/6 + 4/6 =

3. 7/10 − 3/10 =

4. 5/7 − 2/7 =

5. 3/9 + 4/9 =

Compare and Order Fractions

For Questions 1–3, write <, > or = in the box between the fractions. For Questions 4–5, write the fractions in the requested order, using the box for your answer.

1. 1/4 1/6

2. 3/8 5/8

3. 2/5 2/5

4. Order from smallest to largest: 1/3, 1/6, 1/2.

5. Order from largest to smallest: 2/7, 6/7, 4/7.

Answer Key

Activity 1: 3/10 ; 5/10 ; 7/10 ; 3/10 ; 10/10 or 1

Activity 2: 3 ; 6 ; 12 ; 20 ; 14

Activity 3: 3 ; 9 ; 4 ; 8 ; 6

Activity 4: 2 ; 6 ; 1 ; 6 ; 2

Activity 5: 5/8 ; 5/6 ; 4/10 ; 3/7 ; 7/9

Activity 6: > ; < ; = ; 1/6, 1/3, 1/2 ; 6/7, 4/7, 2/7