Order of Operations exam-style questions worksheet by Corbettmaths.
Exam-style worksheet titled "Order of Operations" from Corbettmaths, featuring a name field, instructions, and guidance for solving math problems.
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Step-by-step solution for: Order of Operations Practice Questions - Corbettmaths
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operations Practice Questions - Corbettmaths
The image you provided is the header of a worksheet titled "Order of Operations" from Corbettmaths, which is a resource for mathematics practice. The worksheet appears to be designed for exam-style questions, and it includes guidance on how to approach the problems.
1. Title: "Order of Operations"
- This indicates that the worksheet focuses on solving mathematical expressions using the correct order of operations (BIDMAS/BODMAS: Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).
2. Tools Required:
- Pencil, pen, ruler, protractor, pair of compasses, and eraser.
- Tracing paper may be used if needed.
3. Guidance:
- Read each question carefully before beginning.
- Don’t spend too long on one question.
- Attempt every question.
- Check your answers seem right.
- Always show your workings.
Since the worksheet is about Order of Operations, let’s outline how to solve such problems step by step:
#### Step-by-Step Guide for Solving Order of Operations Problems:
1. Identify the Expression:
- Look at the given mathematical expression. For example: \( 3 + 4 \times 2 \).
2. Apply BIDMAS/BODMAS:
- Brackets: Solve anything inside brackets first.
- Indices/Orders: Solve any exponents or roots next.
- Division and Multiplication: Perform these operations from left to right.
- Addition and Subtraction: Perform these operations from left to right.
3. Work Through the Expression:
- Start with the highest priority operation (brackets or indices) and move down the list.
- Ensure you follow the left-to-right rule for division/multiplication and addition/subtraction.
#### Example Problem:
Let’s solve an example problem to illustrate the process:
Problem: Evaluate \( 6 + 3 \times (5 - 2)^2 \).
Solution:
1. Brackets: Solve the expression inside the brackets first.
\[
5 - 2 = 3
\]
So the expression becomes:
\[
6 + 3 \times 3^2
\]
2. Indices/Orders: Solve the exponent next.
\[
3^2 = 9
\]
So the expression becomes:
\[
6 + 3 \times 9
\]
3. Division and Multiplication: Perform the multiplication.
\[
3 \times 9 = 27
\]
So the expression becomes:
\[
6 + 27
\]
4. Addition and Subtraction: Perform the addition.
\[
6 + 27 = 33
\]
Final Answer: \( 33 \)
- Always show your steps clearly to avoid mistakes.
- Double-check your calculations, especially when dealing with multiple operations.
- Use parentheses to group parts of the expression if it helps clarify the order.
The worksheet is designed to test your understanding of the Order of Operations. By following the BIDMAS/BODMAS rules and showing all your work, you can solve these problems accurately. If you have specific questions or need help with particular problems, feel free to provide them, and I can guide you through the solutions!
If you have more details or specific questions from the worksheet, please share them, and I’ll be happy to assist further!
Final Answer: \(\boxed{\text{Follow BIDMAS/BODMAS rules to solve order of operations problems.}}\)
Key Points from the Image:
1. Title: "Order of Operations"
- This indicates that the worksheet focuses on solving mathematical expressions using the correct order of operations (BIDMAS/BODMAS: Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).
2. Tools Required:
- Pencil, pen, ruler, protractor, pair of compasses, and eraser.
- Tracing paper may be used if needed.
3. Guidance:
- Read each question carefully before beginning.
- Don’t spend too long on one question.
- Attempt every question.
- Check your answers seem right.
- Always show your workings.
Explanation of the Solution Approach:
Since the worksheet is about Order of Operations, let’s outline how to solve such problems step by step:
#### Step-by-Step Guide for Solving Order of Operations Problems:
1. Identify the Expression:
- Look at the given mathematical expression. For example: \( 3 + 4 \times 2 \).
2. Apply BIDMAS/BODMAS:
- Brackets: Solve anything inside brackets first.
- Indices/Orders: Solve any exponents or roots next.
- Division and Multiplication: Perform these operations from left to right.
- Addition and Subtraction: Perform these operations from left to right.
3. Work Through the Expression:
- Start with the highest priority operation (brackets or indices) and move down the list.
- Ensure you follow the left-to-right rule for division/multiplication and addition/subtraction.
#### Example Problem:
Let’s solve an example problem to illustrate the process:
Problem: Evaluate \( 6 + 3 \times (5 - 2)^2 \).
Solution:
1. Brackets: Solve the expression inside the brackets first.
\[
5 - 2 = 3
\]
So the expression becomes:
\[
6 + 3 \times 3^2
\]
2. Indices/Orders: Solve the exponent next.
\[
3^2 = 9
\]
So the expression becomes:
\[
6 + 3 \times 9
\]
3. Division and Multiplication: Perform the multiplication.
\[
3 \times 9 = 27
\]
So the expression becomes:
\[
6 + 27
\]
4. Addition and Subtraction: Perform the addition.
\[
6 + 27 = 33
\]
Final Answer: \( 33 \)
General Tips:
- Always show your steps clearly to avoid mistakes.
- Double-check your calculations, especially when dealing with multiple operations.
- Use parentheses to group parts of the expression if it helps clarify the order.
Conclusion:
The worksheet is designed to test your understanding of the Order of Operations. By following the BIDMAS/BODMAS rules and showing all your work, you can solve these problems accurately. If you have specific questions or need help with particular problems, feel free to provide them, and I can guide you through the solutions!
If you have more details or specific questions from the worksheet, please share them, and I’ll be happy to assist further!
Final Answer: \(\boxed{\text{Follow BIDMAS/BODMAS rules to solve order of operations problems.}}\)
Parent Tip: Review the logic above to help your child master the concept of math order of operations answers.