TCAP Math Problem Solving 2 — Questions and Answers
Question 1: A store sells apples for $0.75 each and oranges for $1.25 each. If Maya buys 4 apples and 3 oranges, how much does she spend in total?
- $5.75
- $6.75 (Correct answer)
- $7.25
- $8.00
Correct answer: $6.75
4 × $0.75 = $3.00 and 3 × $1.25 = $3.75, so total = $3.00 + $3.75 = $6.75.
Question 2: A rectangular garden is 12 feet long and 8 feet wide. What is the area of the garden?
- 40 sq ft
- 80 sq ft
- 96 sq ft (Correct answer)
- 120 sq ft
Correct answer: 96 sq ft
Area = length × width = 12 × 8 = 96 square feet.
Question 3: Jake scored 85, 92, 78, and 95 on four tests. What is his average score?
- 86
- 87.5
- 88 (Correct answer)
- 90
Correct answer: 88
(85 + 92 + 78 + 95) ÷ 4 = 350 ÷ 4 = 87.5, so the average is 87.5.
Question 4: A train travels 240 miles in 4 hours. At this rate, how far will it travel in 7 hours?
- 360 miles
- 420 miles (Correct answer)
- 480 miles
- 560 miles
Correct answer: 420 miles
Speed = 240 ÷ 4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.
Question 5: Which expression is equivalent to 3(x + 4) − 5?
- 3x + 7 (Correct answer)
- 3x + 12
- 3x − 1
- 3x + 17
Correct answer: 3x + 7
3(x + 4) − 5 = 3x + 12 − 5 = 3x + 7.
Question 6: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of picking a blue marble at random?
- 1/5
- 3/10 (Correct answer)
- 1/3
- 2/5
Correct answer: 3/10
Probability = 3 blue ÷ (5 + 3 + 2) total = 3/10.
Question 7: The number of students in a class increased from 25 to 30. What is the percent increase?
- 15%
- 17%
- 20% (Correct answer)
- 25%
Correct answer: 20%
Percent increase = (30 − 25) ÷ 25 × 100 = 5 ÷ 25 × 100 = 20%.
TCAP Math Problem Solving 2
A store sells apples for $0.75 each and oranges for $1.25 each.
If Maya buys 4 apples and 3 oranges, how much does she spend in total?