11-Plus Mathematics: Four Operations

Four Operations in 11-Plus Mathematics The four basic arithmetic operations are addition , subtraction , multiplication , and division . Mastery of these operat...

Four Operations in 11-Plus Mathematics

The four basic arithmetic operations are addition, subtraction, multiplication, and division. Mastery of these operations is essential for success in the 11-plus entrance exam, as they form the foundation for more complex mathematical concepts.

Mental Strategies

Students are encouraged to develop mental strategies for performing calculations quickly and efficiently. This includes techniques such as:

Written Methods

In addition to mental strategies, students learn formal written methods for each operation:

Addition

Students practice column addition, ensuring they align numbers correctly and carry over values when necessary.

Subtraction

Column subtraction is taught, where students learn to borrow from the next column when the top number is smaller than the bottom number.

Multiplication

Long multiplication is introduced, allowing students to multiply larger numbers by breaking them down into simpler components.

Division

Long division is also covered, teaching students how to divide larger numbers step-by-step, including finding remainders.

Order of Operations

Understanding the order of operations is crucial. Students learn the BODMAS/BIDMAS rule, which stands for:

Inverse Operations

Students also explore inverse operations, which are operations that reverse the effect of each other, such as addition and subtraction or multiplication and division. This concept is vital for solving equations and checking answers.

Problem-Solving

Applying these operations to solve problems is a key focus. Students practice word problems that require them to identify which operations to use and how to set up their calculations. Quick recall of times tables up to 12x12 is essential for efficiency in these tasks.

Worked Example

Problem: Calculate 256 + 487.

Solution:

Related topics:

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📚 Category: 11-plus