Mathematical Problem Solving Flashcards

A recipe requires 2⅓ cups of flour for one batch of cookies. How much flour is needed for 3 batches?

Answer: 7 cups

2⅓ × 3 = 7/3 × 3 = 7 cups.

On a number line, which point is closest to −2.7?

Answer: −2.5

−2.7 is 0.2 away from −2.5, which is closer than −3 (0.3 away) or −2 (0.7 away).

Sam earns $12.50 per hour and worked 36 hours last week. He also received a $25 bonus. What were his total earnings?

Answer: $475

$12.50 × 36 = $450, plus $25 bonus = $475.

A triangle has angles measuring 45° and 75°. What is the measure of the third angle?

Answer: 60°

The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 75° = 60°.

A store buys a toy for $8 and sells it for $14. What is the percent markup on the original cost?

Answer: 75%

Markup = $14 − $8 = $6; percent markup = ($6 ÷ $8) × 100 = 75%.

A sequence follows the pattern: 3, 7, 15, 31, 63, … What is the next term?

Answer: 127

Each term is found by doubling the previous term and adding 1: 63 × 2 + 1 = 127.

A school lunch costs $2.75. If a student buys lunch every school day for 4 weeks (5 days per week), how much do they spend?

Answer: $55.00

4 weeks × 5 days = 20 days; 20 × $2.75 = $55.00.