Free TEAS math practice test

1. Fraction addition

A student studies for 3/4 hour, then for 2/3 hour. How many hours is that in total?

1. 1 1/12
2. 1 5/12
3. 1 7/12
4. 1 3/4

Answer: B. 1 5/12

Use denominator 12: 9/12 + 8/12 = 17/12 = 1 5/12 hours.

2. Fraction division

A container holds 2 1/2 liters. How many 5/8-liter servings can it provide?

1. 2
2. 3
3. 4
4. 5

Answer: C. 4

(5/2) ÷ (5/8) = (5/2) × (8/5) = 4 servings.

3. Decimal multiplication

Each packet weighs 0.075 kg. What is the total weight of 24 packets, in kg?

1. 0.18
2. 1.2
3. 1.8
4. 18

Answer: C. 1.8

0.075 × 24 = 1.800 kg.

4. Percent decrease

A price of $80 is discounted by 15%. What is the new price?

1. $12
2. $65
3. $68
4. $72

Answer: C. $68

Discount = 80 × 0.15 = $12. New price = 80 − 12 = $68.

5. Ratios

Red and blue beads are in ratio 3:7. There are 60 beads altogether. How many are blue?

1. 18
2. 30
3. 40
4. 42

Answer: D. 42

There are 10 ratio parts. Each is 60/10 = 6 beads; blue = 7 × 6 = 42.

6. Proportions

Five notebooks cost $8.75. At the same unit price, what do eight notebooks cost?

1. $11.20
2. $12.50
3. $14.00
4. $15.75

Answer: C. $14.00

Unit price = 8.75/5 = $1.75. Eight cost 1.75 × 8 = $14.

7. Order of operations

Evaluate 18 − 2 × (3 + 4) + 9 ÷ 3.

1. 4
2. 7
3. 13
4. 19

Answer: B. 7

Parentheses give 7. Multiply and divide: 18 − 14 + 3 = 7.

8. Linear equations

Solve 4(2x − 3) = 3x + 18.

1. 3
2. 4
3. 5
4. 6

Answer: D. 6

Expand: 8x − 12 = 3x + 18. Then 5x = 30, so x = 6.

9. Inequalities

Which inequality is equivalent to −3x + 5 > 17?

1. x > −4
2. x < −4
3. x > 4
4. x < 4

Answer: B. x < −4

Subtract 5: −3x > 12. Divide by −3 and reverse the sign: x < −4.

10. Unit rates

A vehicle travels 156 miles in 3 hours at a constant speed. What is its speed in miles per hour?

1. 48
2. 50
3. 52
4. 56

Answer: C. 52

Speed = distance/time = 156/3 = 52 miles per hour.

11. Percent increase

Membership grows from 240 to 300. What is the percent increase?

1. 20%
2. 25%
3. 30%
4. 60%

Answer: B. 25%

Increase = 60. Divide by the original 240: 60/240 × 100% = 25%.

12. Decimal to fraction

What is 0.375 as a fraction in lowest terms?

1. 3/8
2. 3/5
3. 5/8
4. 7/20

Answer: A. 3/8

0.375 = 375/1,000. Divide numerator and denominator by 125 to get 3/8.

13. Scientific notation

Write 0.00072 in scientific notation.

1. 7.2 × 10⁻⁵
2. 7.2 × 10⁻⁴
3. 72 × 10⁻⁴
4. 7.2 × 10⁴

Answer: B. 7.2 × 10⁻⁴

Move the decimal four places right to 7.2, so the exponent is −4.

14. Signed numbers

Evaluate (−6)² − 4 × (−3).

1. −48
2. −24
3. 24
4. 48

Answer: D. 48

(−6)² = 36 and 4 × (−3) = −12. Thus 36 − (−12) = 48.

15. Budget word problem

A class has $250. It buys 8 kits at $18.50 each. How many dollars remain?

1. 92
2. 98
3. 102
4. 112

Answer: C. 102

Kits cost 8 × 18.50 = $148. Remaining funds = 250 − 148 = $102.

16. Formula rearrangement

If y = 3x + 5 and y = 26, what is x?

1. 5
2. 6
3. 7
4. 9

Answer: C. 7

26 = 3x + 5 gives 21 = 3x and x = 7.

17. Numerical ordering

Which number is greatest?

1. 0.62
2. 3/5
3. 61%
4. 0.605

Answer: A. 0.62

Convert all to decimals: 0.62, 0.60, 0.61, 0.605. The greatest is 0.62.

18. Fill-in: proportion

Solve x/12 = 5/8. Enter x as a decimal.

Answer: 7.5

Multiply both sides by 12: x = 12 × 5/8 = 7.5.

19. Powers and roots

Evaluate √144 + 2³.

1. 14
2. 18
3. 20
4. 24

Answer: C. 20

√144 = 12 and 2³ = 8, so the sum is 20.

20. Percent of a quantity

A library has 450 books; 32% are reference books. How many reference books are there?

1. 112
2. 135
3. 144
4. 160

Answer: C. 144

450 × 0.32 = 144 reference books.

21. Metric length

Convert 2.35 meters to centimeters.

1. 23.5
2. 235
3. 2,350
4. 0.0235

Answer: B. 235

1 meter = 100 centimeters, so 2.35 × 100 = 235 cm.

22. Imperial length

Using 12 inches = 1 foot, convert 5 feet 8 inches to inches.

1. 60
2. 65
3. 68
4. 72

Answer: C. 68

5 × 12 + 8 = 68 inches.

23. Mass conversion

Convert 0.84 kilograms to grams.

1. 8.4
2. 84
3. 840
4. 8,400

Answer: C. 840

1 kg = 1,000 g, so 0.84 × 1,000 = 840 g.

24. Volume conversion

Convert 3.6 liters to milliliters.

1. 36
2. 360
3. 3,600
4. 36,000

Answer: C. 3,600

1 L = 1,000 mL, so 3.6 × 1,000 = 3,600 mL.

25. Temperature conversion

Use C = (F − 32) × 5/9. What is 95°F in degrees Celsius?

1. 30
2. 32
3. 35
4. 37

Answer: C. 35

(95 − 32) × 5/9 = 63 × 5/9 = 35°C.

26. Rectangle area

A rectangular garden is 7.5 meters long and 4 meters wide. What is its area in square meters?

1. 15
2. 23
3. 30
4. 46

Answer: C. 30

Area = length × width = 7.5 × 4 = 30 m².

27. Rectangle perimeter

A rectangle is 12 cm long and 7 cm wide. What is its perimeter in cm?

1. 19
2. 24
3. 38
4. 84

Answer: C. 38

Perimeter = 2(12 + 7) = 38 cm.

28. Triangle area

A triangle has base 14 cm and perpendicular height 9 cm. What is its area in square centimeters?

1. 23
2. 46
3. 63
4. 126

Answer: C. 63

Area = base × height / 2 = 14 × 9 / 2 = 63 cm².

29. Rectangular prism volume

A rectangular box measures 8 cm by 5 cm by 3 cm. What is its volume in cubic centimeters?

1. 16
2. 40
3. 80
4. 120

Answer: D. 120

Volume = 8 × 5 × 3 = 120 cm³.

30. Circle area

Using π = 3.14, what is the area of a circle of radius 5 cm, in square centimeters?

1. 31.4
2. 62.8
3. 78.5
4. 157

Answer: C. 78.5

Area = πr² = 3.14 × 25 = 78.5 cm².

31. Mean

Find the mean of 12, 15, 18, 19 and 21.

1. 16
2. 17
3. 18
4. 19

Answer: B. 17

Sum = 85; mean = 85/5 = 17.

32. Median

Find the median of 4, 11, 7, 9, 15 and 6.

1. 7
2. 8
3. 9
4. 10

Answer: B. 8

Order: 4,6,7,9,11,15. With six values, median = (7+9)/2 = 8.

33. Mode

Find the mode of 2, 3, 3, 4, 5, 5, 5 and 8.

1. 3
2. 4
3. 5
4. 8

Answer: C. 5

5 appears three times, more often than any other value.

34. Reading a table

The table shows clinic appointments. What percent of the total occurred on Wednesday?

1. 20%
2. 25%
3. 30%
4. 35%

Answer: C. 30%

Total = 18 + 24 + 27 + 21 = 90. Wednesday accounts for 27/90 × 100% = 30%.

35. Chart data and change

A bar chart has these values: January 40, February 55, March 50, April 70. What is the increase from February to April?

1. 15
2. 20
3. 25
4. 30

Answer: A. 15

Read the two bars: 70 − 55 = 15.

36. Fill-in: map scale

A map uses 1 inch = 12 miles. Two towns are 3.5 inches apart on the map. Enter their distance in miles.

Answer: 42

3.5 × 12 = 42 miles.

37. Range

Find the range of 18, 22, 15, 31 and 26.

1. 13
2. 15
3. 16
4. 18

Answer: C. 16

Range = maximum − minimum = 31 − 15 = 16.

38. Fill-in: elapsed time

A session starts at 9:35 a.m. and ends at 11:10 a.m. Enter the elapsed time in minutes.

Answer: 95

9:35 to 10:35 is 60 minutes; 10:35 to 11:10 is 35. Total 95.