Problem Solving in 11-Plus Mathematics

Problem Solving in 11-Plus Mathematics

Problem solving is a crucial aspect of the 11-plus Mathematics curriculum, focusing on multi-step word problems that require students to apply their mathematical skills effectively. This topic encourages students to identify relevant information, select appropriate operations, and utilize their mathematical knowledge to reach solutions.

Understanding Multi-Step Word Problems

Multi-step word problems often involve a combination of arithmetic operations, fractions, percentages, measurements, and logical reasoning. Students must read the problem carefully to extract the necessary information and determine the steps required to solve it.

Strategies for Solving Problems

Here are some effective strategies for tackling multi-step word problems:

• Read Carefully: Understand what the problem is asking. Highlight or underline key information.
• Identify Operations: Determine which mathematical operations (addition, subtraction, multiplication, division) are needed.
• Break It Down: Divide the problem into smaller, manageable steps. Solve each step one at a time.
• Check Your Work: After arriving at a solution, revisit the problem to ensure that the answer makes sense in the context of the question.

Example Problem

Worked Example

Problem: A farmer has 120 apples. He sells 25% of them and then buys 30 more apples. How many apples does he have now?

Solution:

• Step 1: Calculate 25% of 120 apples: 120 × 0.25 = 30 apples
• Step 2: Subtract the sold apples from the total: 120 - 30 = 90 apples
• Step 3: Add the new apples purchased: 90 + 30 = 120 apples

The farmer now has 120 apples.

By mastering these problem-solving techniques, students will enhance their ability to tackle complex mathematical challenges, preparing them for success in the 11-plus exam and beyond.