×100: Problem Solving & Reasoning

Mathematics
GCSE Higher
16 questions
~32 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on multiplying decimals by 100 to convert to percentages, with varied questions including problem solving and real-world contexts.

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×100: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet

Grade GCSE Higher
A

Introduction

Read carefully. Remember, multiplying a decimal by 100 shifts the decimal point two places to the right, converting it to a percentage.
B

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 0.75 × 100.
[2 marks]
2.
Convert 0.082 to a percentage by multiplying by 100.
[2 marks]
3.
What is 0.005 × 100?
[2 marks]
4.
Multiply 1.23 by 100.
[2 marks]
C

Targeted Practice

Answer the following questions carefully, showing your working where applicable.
1.
A decimal 0.456 is converted to a percentage. What is the result after multiplying by 100?
[2 marks]
2.
If a price is £0.89, what is this as a percentage of £1 after multiplying by 100?
[2 marks]
3.
A student scores 0.92 in a test. Express this score as a percentage.
[2 marks]
4.
Calculate 0.0034 × 100.
[2 marks]
D

Real-world Applications

Apply what you know to solve these real-world problems.
1.
A car traveled 0.065 km in 1 minute. Express this distance as a percentage of 1 km.
[3 marks]
2.
A shop reduces the price of an item from £0.50 to £0.005 after a discount. What percentage of the original price is the new price?
[3 marks]
E

Challenge & Extension

Attempt these more complex problems to extend your understanding.
1.
A decimal 0.0789 is multiplied by 100. Write the answer as a percentage, rounded to one decimal place if necessary.
[3 marks]
2.
Construct a triangle on the grid with side lengths corresponding to 0.125, 0.25, and 0.375. Label each side as a percentage after multiplying by 100.
[3 marks]
F

Mixed Review

Answer a variety of questions to review your skills.
1.
Express 0.009 as a percentage.
[2 marks]
2.
A discount of 0.12 on a product means the new price is what percentage of the original?
[3 marks]
3.
Multiply 0.56 by 100 and write the result as a percentage.
[2 marks]
G

Error Analysis

Identify and correct the common mistake in the following problem.
1.
A student calculates 0.34 × 100 = 34.0 but writes the answer as 340. Explain the mistake and correct it.
[3 marks]

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Details

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