ITBS Mathematical Problem Solving 5 — Questions and Answers
Question 1: A recipe requires 2⅓ cups of flour for one batch of cookies. How much flour is needed for 3 batches?
- 6 cups
- 6⅔ cups
- 7 cups (Correct answer)
- 7⅓ cups
Correct answer: 7 cups
2⅓ × 3 = 7/3 × 3 = 7 cups.
Question 2: On a number line, which point is closest to −2.7?
- −3
- −2
- −2.5 (Correct answer)
- −3.5
Correct 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).
Question 3: Sam earns $12.50 per hour and worked 36 hours last week. He also received a $25 bonus. What were his total earnings?
- $425
- $450
- $475 (Correct answer)
- $500
Correct answer: $475
$12.50 × 36 = $450, plus $25 bonus = $475.
Question 4: A triangle has angles measuring 45° and 75°. What is the measure of the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 70°
Correct answer: 60°
The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 75° = 60°.
Question 5: A store buys a toy for $8 and sells it for $14. What is the percent markup on the original cost?
- 42.9%
- 57.1%
- 75% (Correct answer)
- 87.5%
Correct answer: 75%
Markup = $14 − $8 = $6; percent markup = ($6 ÷ $8) × 100 = 75%.
Question 6: A sequence follows the pattern: 3, 7, 15, 31, 63, … What is the next term?
- 95
- 120
- 127 (Correct answer)
- 131
Correct answer: 127
Each term is found by doubling the previous term and adding 1: 63 × 2 + 1 = 127.
Question 7: 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?
- $44.00
- $52.00
- $55.00 (Correct answer)
- $60.50
Correct answer: $55.00
4 weeks × 5 days = 20 days; 20 × $2.75 = $55.00.
ITBS Mathematical Problem Solving 5
A recipe requires 2⅓ cups of flour for one batch of cookies.
How much flour is needed for 3 batches?