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How do you solve problems?
LEARNING
STANDARDS CHAPTER
Solve problems
involving positive and 1
A mathematics quiz contains 20 questions. A score of 2 negative fractions.
marks is awarded for every correct answer and a score of
1
– mark is given for every incorrect answer. Mei Ling
2
participated in the quiz and answered all the questions. Her
score for incorrect answers was – 4. What was the total score
Mei Ling obtained in the quiz?

Understanding the problem Think Smart
• A score of 2 marks is awarded for every correct answer. – is given for every
1
1 2
• A score of – mark is given for every incorrect answer. incorrect answer.
2
• Score for incorrect answers = – 4 What does it mean
1
• Find the total score obtained. by – ?
2
Devising a plan
• +2 represents the score for every correct answer.
1
• – represents the score for every incorrect answer.
2
• Find the total number of incorrect answers using division.
• Find the total score using multiplication and addition.

Implementing the Problem-solving steps:
strategy
1
Number of incorrect answers = – 4 ÷ – 1 2 Understanding
the problem
2
= 8 ↓
Total score = (20 – 8) × 2 + (– 4) Devising a plan
= 12 × 2 – 4 ↓
= 24 – 4 Implementing
= 20 the strategy
↓
Doing reflection Doing reflection
Total score for correct answers = 12 × 2
= 24
4 1
1
Total score for incorrect answers = 8 × – 2
= –4 2 1
Total score obtained = 24 + (–4)
= 20

17
Rational Numbers

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