TSI Math Practice Test 1 — Questions and Answers

Question 1: 9⁄18 is equivalent to which fraction?

1⁄18
3⁄9
1⁄2 (Correct answer)
5⁄9

Correct answer: 1⁄2

To find an equivalent fraction, divide both the numerator (9) and the denominator (18) by their greatest common factor, which is 9. This simplifies the fraction to 9 ÷ 9 = 1 and 18 ÷ 9 = 2, resulting in 1/2. This means that 9 out of 18 parts represents the same proportion as 1 out of 2 parts.

Question 2: 2 3⁄4 + 12 6⁄8 =

14 3⁄4
14 1⁄2
15 3⁄8
15 1⁄2 (Correct answer)

Correct answer: 15 1⁄2

First, add the whole numbers: 2 + 12 = 14. Next, add the fractions: 3/4 + 6/8. Since 6/8 simplifies to 3/4, the sum of the fractions is 3/4 + 3/4 = 6/4. Convert 6/4 to a mixed number (1 2/4 or 1 1/2) and add it to the whole number sum: 14 + 1 1/2 = 15 1/2.

Question 3: 789 - 32 =

737
757 (Correct answer)
767
747

Correct answer: 757

To subtract 32 from 789, align the numbers by place value. Subtract the ones digits (9 - 2 = 7), then subtract the tens digits (8 - 3 = 5), and finally bring down the hundreds digit (7). This results in a final answer of 757.

Question 4: 56 × 96 is closest to which value?

5,400 (Correct answer)
5,300
5,500
5,600

Correct answer: 5,400

To estimate the product, round 56 up to 60 and 96 up to 90 or 100. Multiplying 60 by 90 gives 5,400. The actual product of 56 × 96 is 5,376, making 5,400 the closest value among the options.

Question 5: 456 / 23 =

19.83 (Correct answer)
19.93
20.03
20.63

Correct answer: 19.83

To divide 456 by 23, perform long division. 23 goes into 45 once, leaving 22. Bring down the 6 to make 226. 23 goes into 226 approximately 9 times (9 × 23 = 207), leaving 19. Adding a decimal and continuing the division, 23 goes into 190 approximately 8 times, resulting in 19.83 when rounded to two decimal places.

Question 6: 6⁄12 + 6⁄24 + 1⁄4 =

3⁄4
1⁄2
1 (Correct answer)
1 1⁄2

Correct answer: 1

First, simplify the fractions: 6/12 simplifies to 1/2, and 6/24 simplifies to 1/4. The expression becomes 1/2 + 1/4 + 1/4. Adding the two 1/4 fractions gives 2/4, which simplifies to 1/2. Finally, adding 1/2 + 1/2 equals 1.

Question 7: Which value is closest to 85% of 25?

18
16
20
22 (Correct answer)

Correct answer: 22

To find 85% of 25, convert the percentage to a decimal (0.85) and multiply by 25: 0.85 × 25 = 21.25. This value is closest to 22 among the given options. Alternatively, you could estimate by finding 80% of 25 (which is 20) and adding a small amount for the extra 5%.

Question 8: 0.98 / 0.54 =

1.81 (Correct answer)
0.181
18.1
181

Correct answer: 1.81

To divide 0.98 by 0.54, you can move the decimal point two places to the right in both numbers, effectively dividing 98 by 54. Performing this division, 98 ÷ 54 is approximately 1.8148. When rounded to two decimal places, the result is 1.81.

Question 9: 1.45 × 0.99 =

4.44
2.44
1.44 (Correct answer)
3.44

Correct answer: 1.44

To multiply 1.45 by 0.99, you can think of 0.99 as (1 - 0.01). So, 1.45 × (1 - 0.01) = (1.45 × 1) - (1.45 × 0.01) = 1.45 - 0.0145. Subtracting these values gives 1.4355, which rounds to 1.44.

Question 10: 1 meter = 100 centimeters in the metric system, and 1 meter: 1 foot = 3.25:1. In 21 feet. How many meters are there?

646.15
6.4615 (Correct answer)
68.25
6825

Correct answer: 6.4615

The ratio 1 meter : 1 foot = 3.25 : 1 means that 1 meter is equivalent to 3.25 feet. To find out how many meters are in 21 feet, you need to divide the total feet by the conversion factor of 3.25 feet per meter. So, 21 feet / 3.25 feet/meter = 6.461538... meters, which rounds to 6.4615.

Question 11: Sort the following four fractions from smallest to largest: 1/4, 2/3, 4/7, 1/2

1/4, 1/2, 2/3, 4/7
1/2, 2/3, 1/4, 4/7
1/4, 4/7, 1/2, 2/3
1/4, 1/2, 4/7, 2/3 (Correct answer)

Correct answer: 1/4, 1/2, 4/7, 2/3

To sort these fractions, convert them to decimals for easier comparison: 1/4 = 0.25, 1/2 = 0.5, 4/7 ≈ 0.571, and 2/3 ≈ 0.667. Arranging these decimals from smallest to largest gives 0.25, 0.5, 0.571, 0.667. Therefore, the correct order is 1/4, 1/2, 4/7, 2/3.

Question 12: On a rectangular plot of land, a farmer has 1235 trees to plant. How many trees will be left behind after planting if each row has 24 trees planted in it and each row must be completed before it is planted?

11 (Correct answer)
10
5
50

Correct answer: 11

To find out how many trees are left, divide the total number of trees (1235) by the number of trees per row (24). Performing the division, 1235 ÷ 24 equals 51 with a remainder. Specifically, 24 × 51 = 1224. Subtracting 1224 from 1235 gives 11, which is the number of trees left over after completing full rows.

Question 13: What is the x value that causes y to equal 15 - 3x and y to equal 0?

5 (Correct answer)
10
15
4

Correct answer: 5

Given the equation y = 15 - 3x, and that y equals 0, substitute 0 for y: 0 = 15 - 3x. To solve for x, add 3x to both sides, resulting in 3x = 15. Finally, divide both sides by 3, which gives x = 5.

Question 14: What is the distance between -3/7 and -2/3 on a number line?

5⁄21 (Correct answer)
23⁄21
-23⁄21
1⁄4

Correct answer: 5⁄21

To find the distance between two numbers on a number line, calculate the absolute difference between them. First, find a common denominator for -3/7 and -2/3, which is 21. This converts -3/7 to -9/21 and -2/3 to -14/21. The distance is |-9/21 - (-14/21)| = |-9/21 + 14/21| = |5/21| = 5/21.

Question 15: One-third of the job applicants were under the age of 25. Two-sevenths of the candidates were above the age of 50. How many of the 84 people that applied for the job were between the ages of 25 and 50?

25
32 (Correct answer)
35
30

Correct answer: 32

First, calculate the number of applicants under 25: (1/3) × 84 = 28 people. Next, calculate the number of applicants above 50: (2/7) × 84 = 24 people. The total number of applicants in these two groups is 28 + 24 = 52. Subtract this from the total number of applicants to find those between 25 and 50: 84 - 52 = 32 people.

Question 16: The formula h -15 = 3.2t calculates a plant's height h in inches t weeks after planting. When did the height of 31 inches occur?

Some time between 6 and 10 weeks
Some time between 11 and 18 weeks
Some time between 3 and 7 weeks (Correct answer)
Some time between 7 and 12 weeks

Correct answer: Some time between 3 and 7 weeks

Substitute the given height h = 31 inches into the formula: 31 - 15 = 3.2t. This simplifies to 16 = 3.2t. To find t, divide 16 by 3.2: t = 16 / 3.2 = 5. Therefore, the height of 31 inches occurred at 5 weeks, which falls within the range of 'some time between 3 and 7 weeks'.

TSI Math Practice Test 1

9⁄18 is equivalent to which fraction?