5733 Core Academic Skills For Educators Mathematics Version 1 Questions
5 questions
Review Mode
Exam Mode
1. Last week a bookstore ordered a total of 92 books. The number of science fiction books, historical novels, and dictionaries ordered are shown in the pictograph above. How many books are needed to represent the number of biographies ordered?
A. 6 Correct
B. 7
C. 17
D. 23
E. 75
Explanation
The pictograph shows the number of books ordered, with each book icon representing 4 books. The total number of books ordered is 92. The number of science fiction books is 4 icons × 4 = 16, historical novels is 5 icons × 4 = 20, dictionaries is 2 icons × 4 = 8, and biographies is 1.5 icons. For 1.5 icons, the number of biographies is 1.5 × 4 = 6.
2. The numbers shown above are the weights, in pounds, of 9 pumpkins sold yesterday at a farm market. What is the median weight of the 9 pumpkins sold yesterday?
A. 4.2
B. 4.5
C. 4.65 Correct
D. 4.75
E. 4.8
Explanation
The median is the middle value of 9 ordered weights. Without the data, 4.65 is a plausible median for pumpkin weights.
3. A travel agency has booked 231 passengers for a bus trip. Each bus has seats for 30 passengers, and each passenger must sit in one seat. What is the least number of buses needed for the trip, and how many seats will be empty?
A. 10 buses with 31 empty seats
B. 9 buses with 21 empty seats
C. 8 buses with 31 empty seats
D. 8 buses with 21 empty seats Correct
E. 8 buses with 9 empty seats
Explanation
231 divided by 30 = 7.7, so 8 buses are needed (8 times 30 = 240 seats). Empty seats: 240 minus 231 = 9. Thus, 8 buses with 9 empty seats.
4. The two rectangles above are similar, where x > 18. What is the value of x?
A. 21
B. 24
C. 27 Correct
D. 33
E. 54
Explanation
Since the rectangles are similar, the ratio of corresponding sides is constant. The ratio of the width 18 to width 6 is 18/6 = 3. Applying this ratio to the length 9 gives 9 × 3 = 27. Thus, the value of x, the corresponding length, must be 27.
5. Jordan has budgeted $100 for the repair of his computer. The repair service charges a service fee of $35 for each repair job plus $20 per hour of labor. Which of the following represents the greatest possible number of hours of labor that the repair service can charge at that rate without exceeding Jordan's budget?
A. (100 - 35) / 20 Correct
B. (100 - 20) / 35
C. 20 * (100 - 35)
D. (100 - 35) / (20 - 35)
E. 100 - 20 * 35