TExES Core Mathematics Applied Math Word Problems

1. A recipe calls for 3 cups of flour and 2 cups of sugar. If you want to triple the recipe, how many cups of sugar will you need?

2 cups

6 cups

9 cups

12 cups

To triple the recipe, you multiply the amount of sugar by 3. The original recipe requires 2 cups of sugar, so when tripled, it becomes 2 cups x 3 = 6 cups. Thus, you will need 6 cups of sugar for the tripled recipe.

Explanation

To triple the recipe, you multiply the amount of sugar by 3. The original recipe requires 2 cups of sugar, so when tripled, it becomes 2 cups x 3 = 6 cups. Thus, you will need 6 cups of sugar for the tripled recipe.

2. A store offers a 25% discount on a $80 item. What is the final sale price?

$20

$55

$60

$75

To find the final sale price after a 25% discount on an $80 item, first calculate the discount amount: 25% of $80 is $20. Subtract this discount from the original price: $80 - $20 = $60. Thus, the final sale price is $60.

Explanation

To find the final sale price after a 25% discount on an $80 item, first calculate the discount amount: 25% of $80 is $20. Subtract this discount from the original price: $80 - $20 = $60. Thus, the final sale price is $60.

3. If a car travels 240 miles in 4 hours, what is the average speed in miles per hour?

40 mph

50 mph

60 mph

80 mph

To find the average speed, divide the total distance traveled by the total time taken. Here, the car travels 240 miles in 4 hours. Calculating this gives an average speed of 240 miles ÷ 4 hours = 60 miles per hour.

Explanation

To find the average speed, divide the total distance traveled by the total time taken. Here, the car travels 240 miles in 4 hours. Calculating this gives an average speed of 240 miles ÷ 4 hours = 60 miles per hour.

4. A rectangular garden measures 15 feet by 20 feet. What is the perimeter?

35 feet

50 feet

70 feet

300 feet

To find the perimeter of a rectangle, you add the lengths of all sides. The formula is P = 2(length + width). For this garden, P = 2(15 feet + 20 feet) = 2(35 feet) = 70 feet. Thus, the perimeter is 70 feet.

Explanation

To find the perimeter of a rectangle, you add the lengths of all sides. The formula is P = 2(length + width). For this garden, P = 2(15 feet + 20 feet) = 2(35 feet) = 70 feet. Thus, the perimeter is 70 feet.

5. If an investment grows from $500 to $650, what is the percent increase?

15%

25%

30%

35%

To find the percent increase, subtract the initial amount from the final amount: $650 - $500 = $150. Then, divide the increase by the original amount: $150 ÷ $500 = 0.3. Finally, convert this to a percentage by multiplying by 100, resulting in a 30% increase.

Explanation

To find the percent increase, subtract the initial amount from the final amount: $650 - $500 = $150. Then, divide the increase by the original amount: $150 ÷ $500 = 0.3. Finally, convert this to a percentage by multiplying by 100, resulting in a 30% increase.

6. A tank holds 1,200 gallons and is currently 60% full. How many gallons are in the tank?

480 gallons

600 gallons

720 gallons

840 gallons

To find the amount of water in the tank, multiply its total capacity (1,200 gallons) by the percentage it is full (60%). This calculation is: 1,200 gallons × 0.60 = 720 gallons. Thus, the tank contains 720 gallons of water.

Explanation

To find the amount of water in the tank, multiply its total capacity (1,200 gallons) by the percentage it is full (60%). This calculation is: 1,200 gallons × 0.60 = 720 gallons. Thus, the tank contains 720 gallons of water.

7. Solve for x: 2x + 5 = 21

X = 6

X = 8

X = 10

X = 13

To solve the equation 2x + 5 = 21, first, subtract 5 from both sides to get 2x = 16. Next, divide both sides by 2, resulting in x = 8. This shows that when 8 is substituted back into the original equation, it satisfies the equality.

Explanation

To solve the equation 2x + 5 = 21, first, subtract 5 from both sides to get 2x = 16. Next, divide both sides by 2, resulting in x = 8. This shows that when 8 is substituted back into the original equation, it satisfies the equality.

8. A circle has a radius of 7 cm. What is its area? (Use π ≈ 3.14)

43.96 cm²

153.86 cm²

307.72 cm²

615.44 cm²

To find the area of a circle, use the formula A = πr², where r is the radius. Substituting the given radius of 7 cm and using π ≈ 3.14, the calculation becomes A = 3.14 × (7)² = 3.14 × 49 = 153.86 cm². Thus, the area of the circle is 153.86 cm².

Explanation

To find the area of a circle, use the formula A = πr², where r is the radius. Substituting the given radius of 7 cm and using π ≈ 3.14, the calculation becomes A = 3.14 × (7)² = 3.14 × 49 = 153.86 cm². Thus, the area of the circle is 153.86 cm².

9. A student's test scores are 78, 85, 92, and 88. What is the mean?

84

85

86.75

88

To find the mean of the test scores, add all the scores together: 78 + 85 + 92 + 88 = 343. Then, divide the total by the number of scores, which is 4. So, 343 ÷ 4 = 86.75. Thus, the mean score is 86.75.

Explanation

To find the mean of the test scores, add all the scores together: 78 + 85 + 92 + 88 = 343. Then, divide the total by the number of scores, which is 4. So, 343 ÷ 4 = 86.75. Thus, the mean score is 86.75.

10. If 5 workers can complete a job in 8 days, how many days will it take 10 workers?

2 days

4 days

8 days

16 days

If 5 workers can complete a job in 8 days, they can collectively finish it in 5 × 8 = 40 worker-days. With 10 workers, the same job would require only 40 worker-days ÷ 10 workers = 4 days to complete, demonstrating that doubling the workforce halves the time needed.

Explanation

If 5 workers can complete a job in 8 days, they can collectively finish it in 5 × 8 = 40 worker-days. With 10 workers, the same job would require only 40 worker-days ÷ 10 workers = 4 days to complete, demonstrating that doubling the workforce halves the time needed.

11. A book costs $18 and a pen costs $3. If you buy 2 books and 5 pens, what is the total cost?

$36

$39

$51

$57

To find the total cost, calculate the cost of the books and pens separately. The cost of 2 books is 2 x $18 = $36. The cost of 5 pens is 5 x $3 = $15. Adding these amounts together gives $36 + $15 = $51.

Explanation

To find the total cost, calculate the cost of the books and pens separately. The cost of 2 books is 2 x $18 = $36. The cost of 5 pens is 5 x $3 = $15. Adding these amounts together gives $36 + $15 = $51.

12. What is 15% of 200?

15

20

25

30

To find 15% of 200, multiply 200 by 0.15 (which represents 15%). This calculation yields 30, as 200 multiplied by 0.15 equals 30. Thus, 15% of 200 is 30.

Explanation

To find 15% of 200, multiply 200 by 0.15 (which represents 15%). This calculation yields 30, as 200 multiplied by 0.15 equals 30. Thus, 15% of 200 is 30.

13. A cylinder has a radius of 3 inches and height of 10 inches. What is its volume? (Use π ≈ 3.14)

90 in³

141.3 in³

282.6 in³

565.2 in³

14. A company's revenue increased from $50,000 to $75,000. What is the percent change?

25%

33.3%

50%

75%

15. If a recipe yields 12 servings and you need 18 servings, by what factor should you multiply all ingredients?

1.25

1.5

2.0

2.5

TExES Core Mathematics Applied Math and Word Problems Quiz

1. A recipe calls for 3 cups of flour and 2 cups of sugar. If you want to triple the recipe, how many cups of sugar will you need?

2.

What first name or nickname would you like us to use?

2. A store offers a 25% discount on a $80 item. What is the final sale price?

3. If a car travels 240 miles in 4 hours, what is the average speed in miles per hour?

4. A rectangular garden measures 15 feet by 20 feet. What is the perimeter?

5. If an investment grows from $500 to $650, what is the percent increase?

6. A tank holds 1,200 gallons and is currently 60% full. How many gallons are in the tank?

7. Solve for x: 2x + 5 = 21

8. A circle has a radius of 7 cm. What is its area? (Use π ≈ 3.14)

9. A student's test scores are 78, 85, 92, and 88. What is the mean?

10. If 5 workers can complete a job in 8 days, how many days will it take 10 workers?

11. A book costs $18 and a pen costs $3. If you buy 2 books and 5 pens, what is the total cost?

12. What is 15% of 200?

13. A cylinder has a radius of 3 inches and height of 10 inches. What is its volume? (Use π ≈ 3.14)

14. A company's revenue increased from $50,000 to $75,000. What is the percent change?

15. If a recipe yields 12 servings and you need 18 servings, by what factor should you multiply all ingredients?