Written Methods: Real-world Applications of Dividing Decimals

Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on using written methods to divide decimals by integers, including real-world contexts and problem-solving exercises for GCSE Foundation students.

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Written Methods: Real-world Applications of Dividing Decimals

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Divide 4.8 by 3 using written methods. Show all steps.
[3 marks]
2.
Calculate 7.5 ÷ 5 using long division. Write out each step clearly.
[4 marks]
3.
Divide 9.6 by 4 using a written method. State the quotient.
[3 marks]
4.
Using written methods, divide 6.75 by 3. Show your working clearly.
[4 marks]
B

Problem Solving & Reasoning

Answer the questions using written methods and explain your reasoning where necessary.
1.
A baker divides 12.3 kg of flour equally into 4 bags. Use written division to find the weight of flour in each bag. Explain your steps.
[4 marks]
2.
A car travels 15.6 km in 4 hours. Calculate the average speed per hour using written division. Show all steps.
[4 marks]
C

Real-world Applications

Solution each problem using written division methods based on the context given.
1.
A factory produces 45.6 meters of fabric each day. If the fabric is packed into 8 equal boxes, how much fabric is in each box? Show your detailed working.
[4 marks]
2.
A swimming pool contains 72.5 cubic meters of water. If the water is to be evenly distributed into 5 tanks, how much water will each tank hold? Use written division and explain.
[4 marks]
D

Challenge & Extension

Attempt these more challenging division problems. Show all your working.
1.
Divide 19.2 by 6. Use long division with written steps. Provide the quotient and reasoning.
[4 marks]
2.
A recipe uses 2.4 kg of sugar. If the sugar is to be divided equally into 0.8 kg portions, how many portions will there be? Show your work.
[3 marks]
E

Mixed Review

Answer the variety of questions below to review written division skills.
1.
Divide 8.4 by 2. Using written methods, write out all steps.
[3 marks]
2.
A total of 36.45 meters of wire is to be cut into 9 equal pieces. Use written division to find the length of each piece.
[3 marks]
F

Error Analysis

Below is a common mistake made when dividing 9.6 by 4 using written methods. Identify the mistake and explain how to correct it.
1.
Student's faulty working: 4 ) 9.6 - 8 --- 1.6 Then they write 1.6 ÷ 4 = 0.4 Identify the mistake and provide the correct steps.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet