Mathematical problem solving Quiz

1. Which is the first stage of the problem solving cycle?

• A. Collecting information
• B. Interpreting results
• C. Specifying the problem
• D. Processing and representing

2. A rectangle has perimeter 30 and width $w$. Which expression is its area?

• A. $w(15-w)$
• B. $w(30-w)$
• C. $30w$
• D. $15w$

3. A quadratic for a length gives $x=-2$ or $x=5$. What should you give?

• A. Both values
• B. $x=-2$
• C. Their mean
• D. $x=5$, as a length cannot be negative

4. Which is the best estimate for $4.8\times19.7$?

• A. $50$
• B. $100$
• C. $150$
• D. $200$

5. After finding an answer, what completes the cycle?

• A. Stopping as soon as a number is found
• B. Rounding to 1 s.f.
• C. Interpreting the result in context and repeating the cycle if it is unreasonable
• D. Changing the question