IAAT - Iowa Algebra Aptitude Interpreting Mathematical Information Questions and Answers

Question 1

The graph below shows the number of books read by students in a book club over four months. Which of the following statements is best supported by the information in the graph?

[A bar graph shows 'Books Read by Book Club'. The x-axis is labeled 'Month' with bars for January, February, March, and April. The y-axis is labeled 'Number of Books' from 0 to 50 in increments of 10. January's bar reaches 25, February's reaches 35, March's reaches 30, and April's reaches 45.]

Accepted Answer

The greatest increase in the number of books read occurred between March and April.

Answer

To find the correct statement, evaluate each option. A is incorrect because reading decreased from February (35) to March (30). B is incorrect because the first two months total 25+35=60 books, while the last two months total 30+45=75 books. C is correct because the increases were: Jan-Feb (35-25=10), Feb-Mar (a decrease), and Mar-Apr (45-30=15), making the March to April increase the largest. D is incorrect because the total is 25+35+30+45=135 books, and the average is 135/4 = 33.75.

Question 2

A new mathematical operation is defined as a © b = 2a + b^2. What is the value of 4 © 5?

Accepted Answer

33

Answer

This question requires substituting the given numbers into the defined operation. In this case, 'a' is 4 and 'b' is 5. The operation is a © b = 2a + b^2. So, we calculate 2 * 4 + 5^2. This simplifies to 8 + 25, which equals 33.

Question 3

A recipe for a fruit smoothie requires 3 ounces of yogurt for every 5 ounces of mixed berries. Based on this relationship, which of the following tables correctly shows the amount of yogurt and berries needed for different quantities of the smoothie?

[Table A shows Yogurt(oz): 6, 9, 12 and Berries(oz): 10, 15, 20. Table B shows Yogurt(oz): 6, 8, 10 and Berries(oz): 10, 13, 16. Table C shows Yogurt(oz): 5, 10, 15 and Berries(oz): 3, 6, 9. Table D shows Yogurt(oz): 6, 9, 12 and Berries(oz): 8, 11, 14.]

Accepted Answer

Table A

Answer

The problem states a ratio of 3 ounces of yogurt to 5 ounces of berries (3:5). We need to find the table where this ratio holds true for all entries. In Table A, the ratios are 6:10 (which simplifies to 3:5), 9:15 (simplifies to 3:5), and 12:20 (simplifies to 3:5). All pairs maintain the required 3:5 ratio. The other tables do not consistently follow this ratio.

Question 4

The total cost (C) of a pizza is determined by a base price of $12 plus $1.50 for each topping (t). Which equation correctly represents this relationship?

Accepted Answer

C = 12 + 1.50t

Answer

The relationship described is a fixed cost plus a variable cost. The fixed cost, or base price, is $12. This is the starting value. The variable cost depends on the number of toppings, 't', at $1.50 each, which is represented as 1.50t. The total cost is the sum of the base price and the cost of the toppings, leading to the equation C = 12 + 1.50t.

Question 5

A middle school is tracking the number of students who participate in after-school sports. They find that the number of participants has increased by an average of 15 students per year since 2020, when there were 120 participants. If this trend continues, how many students will be participating in sports in 2026?

Accepted Answer

210

Answer

First, determine the number of years that have passed from the start year (2020) to the target year (2026). This is 2026 - 2020 = 6 years. The number of participants increases by 15 students each year, so the total increase over 6 years is 6 * 15 = 90 students. To find the total number of participants in 2026, add this increase to the initial number of participants: 120 + 90 = 210 students.

IAAT - Iowa Algebra Aptitude Test Practice Test

IAAT - Iowa Algebra Aptitude Test Practice Test

IAAT - Iowa Algebra Aptitude Interpreting Mathematical Information Questions and Answers