FTCE GK Mathematics Real World Word Problem Applications

1. A store offers a 25% discount on a $120 jacket. What is the final price after the discount?

$80

$90

$95

$100

To find the final price after a 25% discount on a $120 jacket, first calculate the discount amount: 25% of $120 is $30. Subtracting this discount from the original price gives $120 - $30 = $90, which is the final price after the discount.

Explanation

To find the final price after a 25% discount on a $120 jacket, first calculate the discount amount: 25% of $120 is $30. Subtracting this discount from the original price gives $120 - $30 = $90, which is the final price after the discount.

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

55 mph

60 mph

70 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 the average speed gives 240 miles ÷ 4 hours = 60 miles per hour. Thus, the average speed of the car is 60 mph.

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 the average speed gives 240 miles ÷ 4 hours = 60 miles per hour. Thus, the average speed of the car is 60 mph.

3. A rectangular garden measures 15 feet by 20 feet. What is its area?

280 sq ft

300 sq ft

320 sq ft

350 sq ft

To find the area of a rectangle, multiply its length by its width. In this case, the garden measures 15 feet by 20 feet. Therefore, the area is calculated as 15 ft × 20 ft = 300 sq ft.

Explanation

To find the area of a rectangle, multiply its length by its width. In this case, the garden measures 15 feet by 20 feet. Therefore, the area is calculated as 15 ft × 20 ft = 300 sq ft.

4. If an investment of $5,000 earns 8% annual interest, how much interest is earned in one year?

$300

$400

$500

$600

To calculate the interest earned in one year, multiply the principal amount ($5,000) by the interest rate (8%). This results in $5,000 x 0.08 = $400. Thus, the interest earned in one year is $400.

Explanation

To calculate the interest earned in one year, multiply the principal amount ($5,000) by the interest rate (8%). This results in $5,000 x 0.08 = $400. Thus, the interest earned in one year is $400.

5. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of sugar, how much flour do you need?

2 cups

3 cups

4 cups

5 cups

To maintain the ratio of flour to sugar, you can set up a proportion. The original ratio is 2 cups of flour for every 3 cups of sugar. If using 6 cups of sugar, you can calculate the necessary flour by multiplying 2 cups by (6/3), resulting in 4 cups of flour needed.

Explanation

To maintain the ratio of flour to sugar, you can set up a proportion. The original ratio is 2 cups of flour for every 3 cups of sugar. If using 6 cups of sugar, you can calculate the necessary flour by multiplying 2 cups by (6/3), resulting in 4 cups of flour needed.

6. A student scores 85, 92, and 78 on three exams. What is the average score?

81.5

82

85

86

To find the average score, add the three exam scores (85 + 92 + 78 = 255) and divide by the number of exams (3). This results in an average of 85. The average represents the central tendency of the scores, indicating the student's overall performance across the exams.

Explanation

To find the average score, add the three exam scores (85 + 92 + 78 = 255) and divide by the number of exams (3). This results in an average of 85. The average represents the central tendency of the scores, indicating the student's overall performance across the exams.

7. If a pizza costs $15 and you want to tip 20%, how much should you tip?

$2

$2.50

$3

$3.50

To calculate a 20% tip on a $15 pizza, multiply the cost by 0.20. This gives you $15 x 0.20 = $3. Therefore, the appropriate tip amount is $3.

Explanation

To calculate a 20% tip on a $15 pizza, multiply the cost by 0.20. This gives you $15 x 0.20 = $3. Therefore, the appropriate tip amount is $3.

8. A circular pool has a radius of 10 feet. What is its circumference? (Use π ≈ 3.14)

62.8 feet

68.4 feet

75.2 feet

78.5 feet

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For a pool with a radius of 10 feet, substituting the values gives C = 2 × 3.14 × 10 = 62.8 feet. Thus, the circumference of the circular pool is 62.8 feet.

Explanation

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For a pool with a radius of 10 feet, substituting the values gives C = 2 × 3.14 × 10 = 62.8 feet. Thus, the circumference of the circular pool is 62.8 feet.

9. If a book originally costs $30 and is marked down to $21, what is the percent decrease?

25%

30%

35%

40%

To find the percent decrease, subtract the new price from the original price: $30 - $21 = $9. Then, divide the decrease by the original price: $9 ÷ $30 = 0.3. To express this as a percentage, multiply by 100, resulting in a 30% decrease.

Explanation

To find the percent decrease, subtract the new price from the original price: $30 - $21 = $9. Then, divide the decrease by the original price: $9 ÷ $30 = 0.3. To express this as a percentage, multiply by 100, resulting in a 30% decrease.

10. A store sells notebooks at $2 each. If you buy 15 notebooks, how much do you spend?

$28

$30

$32

$35

To find the total cost of 15 notebooks priced at $2 each, multiply the number of notebooks by the price per notebook: 15 notebooks × $2/notebook = $30. Thus, the total expenditure for purchasing 15 notebooks is $30.

Explanation

To find the total cost of 15 notebooks priced at $2 each, multiply the number of notebooks by the price per notebook: 15 notebooks × $2/notebook = $30. Thus, the total expenditure for purchasing 15 notebooks is $30.

11. A triangle has sides of 5 cm, 12 cm, and 13 cm. Is this a right triangle?

Yes, because 5 + 12 = 13

Yes, because 5² + 12² = 13²

No, because the sides are unequal

No, because 13 is too large

A triangle is classified as a right triangle if it satisfies the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) equals the sum of the squares of the other two sides. In this case, $5^2 + 12^2 = 25 + 144 = 169$, which equals $13^2$.

Explanation

A triangle is classified as a right triangle if it satisfies the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) equals the sum of the squares of the other two sides. In this case, $5^2 + 12^2 = 25 + 144 = 169$, which equals $13^2$.

12. If a worker earns $18 per hour and works 40 hours per week, what is the weekly pay?

$680

$700

$720

$750

To calculate the weekly pay, multiply the hourly wage by the number of hours worked in a week. In this case, $18 per hour multiplied by 40 hours equals $720. This represents the total earnings for that week.

Explanation

To calculate the weekly pay, multiply the hourly wage by the number of hours worked in a week. In this case, $18 per hour multiplied by 40 hours equals $720. This represents the total earnings for that week.

13. A temperature increases from 65°F to 77°F. What is the increase in temperature?

10°F

11°F

12°F

13°F

14. If a box contains 50 items and 10% are defective, how many defective items are there?

3

4

5

6

15. A loan of $2,000 is repaid in 12 equal monthly payments. What is each monthly payment?

$160

$166.67

$170

$180

FTCE GK Mathematics Real World Word Problem Applications Quiz

1. A store offers a 25% discount on a $120 jacket. What is the final price after the discount?

2.

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

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

3. A rectangular garden measures 15 feet by 20 feet. What is its area?

4. If an investment of $5,000 earns 8% annual interest, how much interest is earned in one year?

5. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of sugar, how much flour do you need?

6. A student scores 85, 92, and 78 on three exams. What is the average score?

7. If a pizza costs $15 and you want to tip 20%, how much should you tip?

8. A circular pool has a radius of 10 feet. What is its circumference? (Use π ≈ 3.14)

9. If a book originally costs $30 and is marked down to $21, what is the percent decrease?

10. A store sells notebooks at $2 each. If you buy 15 notebooks, how much do you spend?

11. A triangle has sides of 5 cm, 12 cm, and 13 cm. Is this a right triangle?

12. If a worker earns $18 per hour and works 40 hours per week, what is the weekly pay?

13. A temperature increases from 65°F to 77°F. What is the increase in temperature?

14. If a box contains 50 items and 10% are defective, how many defective items are there?

15. A loan of $2,000 is repaid in 12 equal monthly payments. What is each monthly payment?