Which one of the following sets are problem solving strategies in Mathematics?

Options

A. Memorisation, Guess & test, drawing
B. Trial-error, drawing, memorisation
C. Drawing, working back, rote learning
D. Reasoning, using variable, look for a pattern

Explanation

To determine which set of strategies are problem-solving strategies in mathematics, we will analyze each option given in the question.

### Step-by-Step Solution:

1. **Analyze Option A:**
- **Memorization:** This involves recalling facts or formulas without understanding their application. In mathematics, while some memorization is necessary (like formulas), it does not constitute a problem-solving strategy.
- **Guess and Test:** This is a valid strategy where one makes an educated guess and checks if it solves the problem.
- **Drawing:** Visual representation can help in understanding and solving problems, making it a useful strategy.
- **Conclusion for A:** Since memorization is not a problem-solving strategy, Option A is not correct.

2. **Analyze Option B:**
- **Trial and Error:** This is a common problem-solving method where various solutions are tried until one works.
- **Drawing:** As mentioned earlier, this is a beneficial strategy in mathematics.
- **Memorization:** Again, this does not contribute to problem-solving.
- **Conclusion for B:** Due to the inclusion of memorization, Option B is not correct.

3. **Analyze Option C:**
- **Joining:** This could refer to combining information or strategies, which can be useful.
- **Working Back:** This is a valid strategy where one starts from the desired outcome and works backwards to find the solution.
- **Rote Learning:** This is similar to memorization and does not aid in problem-solving.
- **Conclusion for C:** Since rote learning is included, Option C is not correct.

4. **Analyze Option D:**
- **Reasoning Using Variables:** This is a fundamental aspect of mathematics where variables represent numbers or quantities, allowing for general solutions.
- **Look for a Pattern:** Identifying patterns is crucial in problem-solving as it can lead to shortcuts and insights into the problem.
- **Conclusion for D:** Both strategies mentioned are valid problem-solving strategies, making Option D the correct answer.

### Final Answer:
The correct set of problem-solving strategies in mathematics is **Option D: Reasoning using variables and looking for a pattern.**