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TEAS Math study materials
TEAS Math study resources

TEAS Math practice questions

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Question 1Reading

Evaluate: 12 + 3 × 4

  1. 24 Correct answer.
  2. 20
  3. 15
  4. 60

Explanation

The order of operations requires multiplication before addition, so multiply 3 × 4 = 12 first. Then add 12 + 12 to get 24.

Question 2Reading

What is 1/4 + 1/2 ?

  1. 2/6
  2. 1/8
  3. 1/6
  4. 3/4 Correct answer.

Explanation

Rewrite 1/2 as 2/4 so both fractions share the denominator 4. Then 1/4 + 2/4 = 3/4.

Question 3Reading

What is 20% of 150?

  1. 20
  2. 75
  3. 30 Correct answer.
  4. 300

Explanation

Convert the percent to a decimal (20% = 0.20) and multiply by 150. 0.20 × 150 = 30.

Question 4Reading

Round 4.567 to the nearest tenth.

  1. 4.57
  2. 4.5
  3. 4.6 Correct answer.
  4. 5.0

Explanation

The tenths digit is 5, so look at the hundredths digit, which is 6. Since 6 is 5 or greater, round the tenths digit up from 5 to 6, giving 4.6.

Question 5Reading

A mixture uses red and blue paint in a ratio of 3:5. If the total amount of mixture is 40 ounces, how many ounces of red paint are used?

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

Explanation

The ratio has 3 + 5 = 8 parts total, and each part equals 40 ÷ 8 = 5 ounces. Red paint is 5 parts, so 5 × 5 = 25 ounces.

Question 6Reading

What is the mean of the numbers 4, 6, 8, and 10?

  1. 28
  2. 7 Correct answer.
  3. 6
  4. 8

Explanation

Add the values to get 4 + 6 + 8 + 10 = 28, then divide by the number of values, 4. 28 ÷ 4 = 7.

Question 7Reading

What is 0.5 × 0.4?

  1. 0.2 Correct answer.
  2. 0.02
  3. 2.0
  4. 0.9

Explanation

Multiply 5 × 4 = 20 and count two decimal places total in the factors, giving 0.20, which equals 0.2.

Question 8Reading

Solve for x: x + 7 = 12

  1. 5 Correct answer.
  2. 3
  3. 19
  4. 7

Explanation

Subtract 7 from both sides to isolate x. 12 − 7 = 5, so x = 5.

Question 9Reading

Solve for x: 3x − 5 = 16

  1. 7 Correct answer.
  2. 21
  3. 5
  4. 6

Explanation

Add 5 to both sides to get 3x = 21, then divide both sides by 3. That gives x = 7.

Question 10Reading

A jacket's price rises from $80 to $100. What is the percent increase?

  1. 20%
  2. 80%
  3. 25% Correct answer.
  4. 125%

Explanation

Find the change: 100 − 80 = 20. Divide the change by the original amount: 20 ÷ 80 = 0.25, which is 25%.

Question 11Reading

Write 3/8 as a percent.

  1. 26.7%
  2. 38%
  3. 83%
  4. 37.5% Correct answer.

Explanation

Divide the numerator by the denominator: 3 ÷ 8 = 0.375. Multiply by 100 to convert the decimal to a percent, giving 37.5%.

Question 12Reading

Solve the proportion 5/8 = x/40.

  1. 24
  2. 64
  3. 25 Correct answer.
  4. 20

Explanation

Cross-multiply to get 5 × 40 = 8x, so 200 = 8x. Dividing both sides by 8 gives x = 25.

Question 13Reading

A rectangle has a length of 9 cm and a width of 7 cm. What is its area?

  1. 32 cm²
  2. 81 cm²
  3. 49 cm²
  4. 63 cm² Correct answer.

Explanation

Area of a rectangle equals length times width. 9 × 7 = 63, so the area is 63 square centimeters.

Question 14Reading

A store sells 3 pounds of coffee for $7.50. What is the price per pound?

  1. $2.25
  2. $2.50 Correct answer.
  3. $3.00
  4. $2.00

Explanation

A unit rate is found by dividing the total cost by the number of units. $7.50 ÷ 3 = $2.50 per pound.

Question 15Reading

What is the slope of the line that passes through the points (2, 3) and (6, 11)?

  1. 1/2
  2. 8
  3. 4
  4. 2 Correct answer.

Explanation

Slope equals the change in y divided by the change in x. (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.

Question 16Reading

Which of these numbers has the least value: 0.45, 0.405, 0.5, 0.045?

  1. 0.045 Correct answer.
  2. 0.5
  3. 0.405
  4. 0.45

Explanation

Line up the decimals by place value: 0.045 has a 0 in the tenths place while the others have 4 or 5. Comparing hundredths confirms 0.045 is the smallest.

Question 17Reading

Convert 2.5 kilograms to grams.

  1. 25 g
  2. 2,500 g Correct answer.
  3. 25,000 g
  4. 250 g

Explanation

One kilogram equals 1,000 grams, so multiply by 1,000. 2.5 × 1,000 = 2,500 grams.

Question 18Reading

How much simple interest is earned on $500 at an annual rate of 4% for 3 years?

  1. $120
  2. $20
  3. $6,000
  4. $60 Correct answer.

Explanation

Use I = P × r × t: 500 × 0.04 × 3. That equals 20 × 3 = $60.

Question 19Reading

A rectangle measures 12 inches by 5 inches. What is its perimeter?

  1. 17 in
  2. 60 in
  3. 120 in
  4. 34 in Correct answer.

Explanation

Perimeter is the distance around the figure: 2(12 + 5) = 2(17) = 34 inches.

Question 20Reading

Simplify: 2(x + 3) − 4

  1. 2x + 6
  2. 2x + 10
  3. 2x − 1
  4. 2x + 2 Correct answer.

Explanation

Distribute the 2 to get 2x + 6, then subtract 4. Combining the constants gives 2x + 2.

Question 21Reading

Solve for x: 2(x − 3) = 4x + 8

  1. 1
  2. -7 Correct answer.
  3. 7
  4. -1

Explanation

Distribute to get 2x − 6 = 4x + 8. Subtract 2x from both sides to get −6 = 2x + 8, then subtract 8 to get −14 = 2x, so x = −7.

Question 22Reading

After a 15% discount, a chair sells for $68. What was the original price?

  1. $80 Correct answer.
  2. $102
  3. $78.20
  4. $83

Explanation

The sale price is 85% of the original price, since 100% − 15% = 85%. Divide $68 by 0.85 to get $80.

Question 23Reading

A paint mixture uses red and white paint in a ratio of 2:3. If the mixture totals 15 cups, how many cups of red paint are in it?

  1. 9
  2. 5
  3. 6 Correct answer.
  4. 10

Explanation

The ratio has 2 + 3 = 5 parts, so each part is 15 ÷ 5 = 3 cups. Red paint is 2 parts, or 2 × 3 = 6 cups.

Question 24Reading

A rectangle's length is twice its width, and its perimeter is 36 meters. What is its area?

  1. 108 m²
  2. 72 m² Correct answer.
  3. 144 m²
  4. 36 m²

Explanation

Let the width be w, so the length is 2w. Then 2(w + 2w) = 36, giving 6w = 36 and w = 6. The length is 12, so the area is 6 × 12 = 72 square meters.

Question 25Reading

A car travels 150 miles in 2.5 hours. What is its average speed?

  1. 50 mph
  2. 75 mph
  3. 60 mph Correct answer.
  4. 375 mph

Explanation

Average speed equals distance divided by time. 150 ÷ 2.5 = 60 miles per hour.

Question 26Reading

What is the value of 3/4 ÷ 1/8?

  1. 1/6
  2. 3/32
  3. 2/3
  4. 6 Correct answer.

Explanation

Dividing by a fraction is the same as multiplying by its reciprocal, so 3/4 ÷ 1/8 = 3/4 × 8/1. Multiplying gives 24/4, which simplifies to 6.

Question 27Reading

What is the value of |−7| + |3|?

  1. −10
  2. 4
  3. −4
  4. 10 Correct answer.

Explanation

Absolute value measures distance from zero, so |−7| = 7 and |3| = 3. Adding the two values gives 10.

Question 28Reading

Round 4.276 to the nearest tenth.

  1. 4.28
  2. 4.2
  3. 4.0
  4. 4.3 Correct answer.

Explanation

The tenths digit is 2, and the digit to its right in the hundredths place is 7. Since 7 is 5 or greater, the tenths digit rounds up to 3, giving 4.3.

Question 29Reading

What is the median of the data set 3, 7, 4, 9, 12?

  1. 7 Correct answer.
  2. 9
  3. 12
  4. 4

Explanation

Arrange the values in order: 3, 4, 7, 9, 12. With an odd number of values, the median is the middle one, which is 7.

Question 30Reading

Write 7/20 as a decimal.

  1. 0.27
  2. 3.5
  3. 0.7
  4. 0.35 Correct answer.

Explanation

A fraction is a division, so 7 ÷ 20 = 0.35. Multiplying the numerator and denominator by 5 gives 35/100, which is also 0.35.

Question 31Reading

A triangle has a base of 10 cm and a height of 6 cm. What is its area?

  1. 15 cm²
  2. 30 cm² Correct answer.
  3. 60 cm²
  4. 16 cm²

Explanation

The area of a triangle is one-half times base times height. So the area is 0.5 × 10 × 6 = 30 cm².

Question 32Reading

What is the value of −5 + 12 − 3?

  1. 20
  2. 4 Correct answer.
  3. −4
  4. 10

Explanation

Work left to right: −5 + 12 = 7, then 7 − 3 = 4. The result is positive because the positive amount outweighs the negatives.

Question 33Reading

Which of the following numbers is prime?

  1. 27
  2. 33
  3. 31 Correct answer.
  4. 21

Explanation

A prime number has exactly two factors, 1 and itself. The number 31 has no divisors other than 1 and 31, so it is prime.

Question 34Reading

What is 15% of 240?

  1. 16
  2. 3.6
  3. 36 Correct answer.
  4. 24

Explanation

Convert the percent to a decimal and multiply: 0.15 × 240 = 36. Alternatively, 10% of 240 is 24 and 5% is 12, and 24 + 12 = 36.

Question 35Reading

Solve the inequality −2x > 10.

  1. x < 5
  2. x < −5 Correct answer.
  3. x > 5
  4. x > −5

Explanation

Divide both sides by −2. Dividing or multiplying an inequality by a negative number reverses the direction of the inequality symbol, so the result is x < −5.

Question 36Reading

Simplify: 4 + 3 × 2² − 6 ÷ 3

  1. 20
  2. 14 Correct answer.
  3. 22
  4. 12

Explanation

Following order of operations, evaluate the exponent first: 2² = 4. Then multiply and divide left to right: 3 × 4 = 12 and 6 ÷ 3 = 2. Finally 4 + 12 − 2 = 14.

Question 37Reading

A recipe uses 2/3 cup of sugar for every 12 cookies. How many cups of sugar are needed for 36 cookies?

  1. 1 1/3 cups
  2. 3 cups
  3. 2 cups Correct answer.
  4. 1 cup

Explanation

36 cookies is 3 times the 12-cookie batch, since 36 ÷ 12 = 3. Multiply the sugar by 3: 2/3 × 3 = 2 cups.

Question 38Reading

A shirt regularly costs $40 and is marked down by 25%. What is the sale price?

  1. $25
  2. $10
  3. $35
  4. $30 Correct answer.

Explanation

The discount is 0.25 × $40 = $10, so the sale price is $40 − $10 = $30. Equivalently, the customer pays 75% of $40, which is $30.

Question 39Reading

The mean of five numbers is 12. Four of the numbers are 8, 10, 14, and 15. What is the fifth number?

  1. 12
  2. 60
  3. 11
  4. 13 Correct answer.

Explanation

If the mean of five numbers is 12, their total must be 5 × 12 = 60. The four known numbers add to 47, so the fifth number is 60 − 47 = 13.

Question 40Reading

A bag contains 5 red, 3 blue, and 2 green marbles. If one marble is drawn at random, what is the probability that it is blue?

  1. 3/10 Correct answer.
  2. 2/5
  3. 3/5
  4. 1/3

Explanation

Probability equals favorable outcomes divided by total outcomes. There are 3 blue marbles out of 5 + 3 + 2 = 10 marbles, so the probability is 3/10.

Question 41Reading

How many milliliters are in 2.5 liters?

  1. 2,500 mL Correct answer.
  2. 250 mL
  3. 25,000 mL
  4. 25 mL

Explanation

One liter contains 1,000 milliliters, so multiply by 1,000: 2.5 × 1,000 = 2,500 mL. Moving the decimal three places to the right gives the same result.

Question 42Reading

A person 5 feet tall casts a shadow 3 feet long. At the same time, a nearby tree casts a shadow 15 feet long. How tall is the tree?

  1. 20 feet
  2. 9 feet
  3. 25 feet Correct answer.
  4. 45 feet

Explanation

Similar triangles make the ratios of height to shadow equal, so 5/3 = h/15. Cross-multiplying gives 3h = 75, and h = 25 feet.

Question 43Reading

If a = 3 and b = −2, what is the value of a² − 2b?

  1. 5
  2. 4
  3. 13 Correct answer.
  4. 7

Explanation

Substitute the values: 3² − 2(−2). This becomes 9 + 4 = 13, because subtracting a negative product adds a positive amount.

Question 44Reading

A rectangular box measures 4 cm by 5 cm by 6 cm. What is its volume?

  1. 120 cm³ Correct answer.
  2. 60 cm³
  3. 240 cm³
  4. 15 cm³

Explanation

The volume of a rectangular prism is length × width × height. Multiplying 4 × 5 × 6 gives 120 cm³.

Question 45Reading

Write 3 2/5 as an improper fraction.

  1. 15/5
  2. 6/5
  3. 32/5
  4. 17/5 Correct answer.

Explanation

Multiply the whole number by the denominator and add the numerator: 3 × 5 + 2 = 17. Place that result over the original denominator to get 17/5.

Question 46Reading

A price is increased by 20% and then the new price is decreased by 20%. What is the overall change from the original price?

  1. A 4% decrease Correct answer.
  2. No change
  3. A 40% decrease
  4. A 4% increase

Explanation

Multiply the multipliers: 1.20 × 0.80 = 0.96. The final price is 96% of the original, which is a 4% decrease.

Question 47Reading

Solve for x: 3(x + 4) = 2x − 5

  1. x = 17
  2. x = −7
  3. x = 1
  4. x = −17 Correct answer.

Explanation

Distribute to get 3x + 12 = 2x − 5. Subtract 2x from both sides to get x + 12 = −5, then subtract 12 to get x = −17.

Question 48Reading

How many liters of a 20% saline solution must be added to 10 liters of a 50% saline solution to produce a 30% saline solution?

  1. 20 liters Correct answer.
  2. 5 liters
  3. 30 liters
  4. 10 liters

Explanation

Let x be the liters added and set the salt amounts equal: 0.20x + 0.50(10) = 0.30(x + 10). This simplifies to 0.20x + 5 = 0.30x + 3, so 2 = 0.10x and x = 20 liters.

Question 49Reading

What is the value of √144 + 3³?

  1. 21
  2. 45
  3. 24
  4. 39 Correct answer.

Explanation

The square root of 144 is 12, and 3³ = 3 × 3 × 3 = 27. Adding the two results gives 12 + 27 = 39.

Question 50Reading

Solve the inequality: x/3 − 2 ≥ 4

  1. x ≥ 2
  2. x ≥ 6
  3. x ≥ 18 Correct answer.
  4. x ≤ 18

Explanation

Add 2 to both sides to get x/3 ≥ 6. Then multiply both sides by 3, which does not reverse the inequality, giving x ≥ 18.