Introduction to Fractions - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Introduction to Fractions revision guide

This topic is chapter 1 of KS2 Maths: Fractions, Ratio and proportion, and Algebra Practice Book.

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4.5 Introduction to Fractions

Calculators not allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write the fraction for the shaded part of each shape, giving each answer in its simplest form. Shape A is a circle with 1 of 4 equal parts shaded. Shape B is a rectangle with 2 of 6 equal parts shaded.

(a)Fraction shaded in Shape A(1)

(b)Fraction shaded in Shape B, given in its simplest form(1)

Write the fraction that shows the shaded part: 4 shaded squares out of 10 equal squares.

(1)

Explain in one or two sentences why 2/4 is the same as 1/2. Use words or a diagram.

(2)

A pizza is cut into 8 equal slices. Kwame eats 5 slices. What fraction shows the part he ate? Give the fraction and its simplest form.

(2)

Sara has 10 counters. She gives 2/10 of them to Oliwia. How many counters does Oliwia get? Show your working.

(2)

Draw a pie split into 4 equal pieces. Shade 1/4 of the pie and write the fraction.

(1)

There are 15 stickers. 3/15 are red. How many stickers are red? Give the fraction in simplest form too.

(2)

Explain which fraction is larger: 1/4 or 1/3. Write a short explanation.

(2)

A chocolate bar is split into 12 equal squares. Lina eats 6 squares. What fraction of the bar did she eat? Give the fraction in simplest form.

(2)

Maya paints 4 out of 20 wooden blocks blue. What fraction are painted blue? Give the fraction in simplest form and explain why you simplified it.

(2)

Write down the unit fraction for one equal part of a whole split into five equal pieces.

(1)

Which fraction is the same as two thirds? Circle the correct answer: 4/6, 3/4, 1/3. Explain why you chose that fraction in one sentence.

Priya colours 3 equal parts out of 8 on a paper strip. Write the fraction that Priya coloured.

(1)

A cake is cut into 6 equal slices. Noah eats 2 slices and Erin eats 1 slice. What fraction of the cake is left?

(2)

Write the fraction shown by shading one of the three equal boxes: one box shaded out of three.

(1)

A ribbon is 9 cm long and divided into 3 equal parts. What is the length of one part as a fraction and in centimetres?

(2)

Shade 2/4 of a rectangle. Then write the fraction in simplest form.

(1)

There are 12 apples. A basket holds 3/12 of them. How many apples are in the basket?

(2)

Mark scheme · 4.5 Introduction to Fractions

Question 1

(a) B1 1/4 cao
(a) Answer: 1/4
(b) B1 1/3 cao after simplifying 2/6
(b) Answer: 1/3

Question 2

B1 4/10 cao
Answer: 4/10

Question 3

B1 statement that 2/4 equals 1/2 by halving or showing both are half of a whole (partial explanation)
B1 clear explanation or diagram showing 2 of 4 parts equal half or simplifying by dividing numerator and denominator by 2 oe
Answer: 2/4 is the same as 1/2 because dividing top and bottom by 2 gives 1/2; both represent half the whole

Question 4

B1 5/8 cao
B1 5/8 is already in simplest form cao
Answer: 5/8

Question 5

M1 10 × (2/10) or 10 ÷ 10 × 2 shown
B1 2 cao
Answer: 2

Question 6

B1 Correct shading of 1 of 4 equal parts and 1/4 written cao
Answer: 1/4

Question 7

M1 15 × (3/15) or 15 ÷ 15 × 3 seen
B1 3 stickers and simplest form 1/5 given cao
Answer: 3 and 1/5

Question 8

B1 identifies 1/3 as larger or 1/4 as smaller
B1 reason given, e.g. 1/3 is larger because the whole is split into fewer pieces so each piece is bigger oe
Answer: 1/3 is larger because the whole is split into 3 parts so each part is bigger than a quarter

Question 9

M1 6/12 seen or calculation 12 ÷ 12 × 6
B1 1/2 cao after simplifying 6/12
Answer: 1/2

Question 10

B1 4/20 cao
B1 simplest form 1/5 and explanation, e.g. dividing numerator and denominator by 4 oe
Answer: 1/5

Question 11

B1 1/5 cao
Answer: 1/5

Question 12

B1 4/6 circled cao
B1 simple explanation, e.g. 4/6 = 2/3 when both top and bottom are divided by 2 oe
Answer: 4/6

Question 13

B1 3/8 cao
Answer: 3/8

Question 14

M1 3/6 calculation seen or equivalent (6 - (2+1) = 3 slices left) seen
B1 1/2 cao after simplifying 3/6
Answer: 1/2

Question 15

B1 1/3 cao
Answer: 1/3

Question 16

M1 9 ÷ 3 = 3 or shows division into 3 equal parts
B1 1/3 and 3 cm cao
Answer: 1/3 and 3 cm

Question 17

B1 1/2 cao after correct shading of 2 of 4 equal parts
Answer: 1/2

Question 18

M1 12 ÷ 12 × 3 or 12 × (3/12) seen
B1 3 cao
Answer: 3

Introduction to Fractions - Worksheets, Questions and Revision

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4.5 Introduction to Fractions

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