ITBS Mathematical Problem Solving 2 — Questions and Answers
Question 1: A store sells apples for $0.75 each and oranges for $1.25 each. If Maria buys 4 apples and 3 oranges, how much does she spend in total?
- $6.75 (Correct answer)
- $7.50
- $5.25
- $8.00
Correct answer: $6.75
4 × $0.75 = $3.00 and 3 × $1.25 = $3.75, so $3.00 + $3.75 = $6.75.
Question 2: A rectangular garden is 12 feet long and 8 feet wide. What is the perimeter of the garden?
- 96 feet
- 40 feet (Correct answer)
- 20 feet
- 48 feet
Correct answer: 40 feet
Perimeter = 2 × (length + width) = 2 × (12 + 8) = 2 × 20 = 40 feet.
Question 3: A train travels at 60 miles per hour. How far will it travel in 2 hours and 30 minutes?
- 120 miles
- 90 miles
- 150 miles (Correct answer)
- 180 miles
Correct answer: 150 miles
2.5 hours × 60 mph = 150 miles.
Question 4: Jake scored 85, 92, 78, and 95 on four math tests. What is his average (mean) score?
- 85
- 87.5 (Correct answer)
- 90
- 92
Correct answer: 87.5
(85 + 92 + 78 + 95) ÷ 4 = 350 ÷ 4 = 87.5.
Question 5: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What fraction of the marbles are blue?
- 3/5
- 1/3
- 3/10 (Correct answer)
- 2/5
Correct answer: 3/10
There are 3 blue marbles out of 5 + 3 + 2 = 10 total, so the fraction is 3/10.
Question 6: If a pizza is cut into 8 equal slices and 3 slices are eaten, what percentage of the pizza remains?
- 37.5%
- 62.5% (Correct answer)
- 75%
- 40%
Correct answer: 62.5%
5 slices remain out of 8, and 5/8 = 0.625 = 62.5%.
Question 7: A bookshelf has 6 shelves. Each shelf can hold 24 books. If the bookshelf is currently 3/4 full, how many books are on the bookshelf?
- 108 (Correct answer)
- 144
- 120
- 96
Correct answer: 108
Total capacity = 6 × 24 = 144 books; 3/4 × 144 = 108 books.
ITBS Mathematical Problem Solving 2
A store sells apples for $0.75 each and oranges for $1.25 each.
If Maria buys 4 apples and 3 oranges, how much does she spend in total?