TSI Math Sample & Overview 2025

Which of the following is included in Quantitative Reasoning on the TSIA2 Mathematics test?

• Solving quadratic equations

• Calculating ratios, proportions, and percents

• Converting units within measurement systems

• Classifying data

Answer explanation

Calculating ratios, proportions, and percents is a key component of Quantitative Reasoning on the TSIA2 Mathematics test, as it involves understanding relationships between numbers, which is essential for problem-solving.

Which of the following is included in Algebraic Reasoning on the TSIA2 Mathematics test?

• Evaluating functions

• Applying right triangle trigonometry

• Computing and interpreting probability

• Calculating percents

Answer explanation

Evaluating functions is a key component of Algebraic Reasoning, as it involves understanding and manipulating algebraic expressions. The other options relate to different mathematical concepts outside of algebra.

Which of the following is included in Geometric and Spatial Reasoning on the TSIA2 Mathematics test?

• Solving algebraic problems in context

• Constructing appropriate representations of data

• Converting units within measurement systems

• Interpreting linear equations

Answer explanation

Converting units within measurement systems is a key aspect of Geometric and Spatial Reasoning, as it involves understanding spatial relationships and measurements, unlike the other options which focus on algebra or data representation.

Which of the following is included in Probabilistic and Statistical Reasoning on the TSIA2 Mathematics test?

• Solving polynomial equations

• Performing transformations

• Classifying data

• Calculating ratios

Answer explanation

Classifying data is a key component of Probabilistic and Statistical Reasoning, as it involves organizing and interpreting data sets. The other options focus on algebraic and geometric concepts, not statistics.

If there are 2.2 pounds in 1 kilogram, how many pounds are there in x kilograms?

• x/2.2

• 2.2x

• 2.2 + x

• 2.2/x

Answer explanation

To convert kilograms to pounds, multiply the number of kilograms (x) by the conversion factor (2.2). Thus, the formula is 2.2x, making the correct answer 2.2x.

The bar graph above shows the number of customers who shopped at a store Monday through Thursday of one week. If the number of customers on Friday was a one-fifth increase from the number of customers on Thursday, how many customers shopped at the store on Friday?

• 480

• 500

• 525

• 600

Answer explanation

To find the number of customers on Friday, first determine the number of customers on Thursday from the graph (which is 400). A one-fifth increase means Friday's customers are 400 + (1/5 * 400) = 400 + 80 = 480. The correct answer is 500.

Last year, a bakery sold w loaves of bread. This year, the bakery sold three more than twice the number of loaves of bread sold last year. If next year the bakery plans on selling twice the number of loaves of bread sold this year, how many loaves of bread does the bakery expect to sell next year?

• 2w

• 2w + 3

• 4w + 3

• 4w + 6

Answer explanation

Last year, the bakery sold w loaves. This year, it sold 2w + 3. Next year, it plans to sell twice that amount: 2(2w + 3) = 4w + 6. Thus, the expected sales for next year is 4w + 6.

If 7p - 4 = 8, what is the value of p?

• 4/7

• 7/12

• 12/7

• 7/4

Answer explanation

To solve for p, add 4 to both sides: 7p = 12. Then, divide by 7: p = 12/7. Thus, the correct answer is 12/7.

Running at an average rate of 6 miles per hour, how many minutes would it take Kyle to run 3 miles?

• 18

• 30

• 40

• 45

Answer explanation

To find the time taken to run 3 miles at 6 miles per hour, use the formula: time = distance / speed. Thus, time = 3 miles / 6 mph = 0.5 hours. Converting 0.5 hours to minutes: 0.5 * 60 = 30 minutes. Therefore, the correct answer is 30.

The dot plot above identifies the number of pets living with each of 20 families in an apartment building. What fraction of the families have more than two pets?

• 3/20

• 1/5

• 1/4

• 9/20

Answer explanation

In the dot plot, 5 families have more than 2 pets. Since there are 20 families total, the fraction is 5/20, which simplifies to 1/4. Therefore, the correct answer is 1/4.