Applied Mathematics Level 4 and 4 Flashcards

A factory worker can assemble 24 units per hour. The daily production goal is 180 units. After 2.5 hours, the worker has assembled 60 units. How many more hours will it take to reach the daily goal?

Answer: 5 hours

Remaining units = 180 − 60 = 120. At 24 units per hour, time needed = 120 ÷ 24 = 5 hours.

A rectangular stockroom floor is 18 feet long and 12.5 feet wide. Floor tiles cost $2.35 per square foot and installation costs $0.75 per square foot. What is the total cost to tile the floor?

Answer: $697.50

Area = 18 × 12.5 = 225 sq ft. Combined cost per sq ft = $2.35 + $0.75 = $3.10. Total = 225 × $3.10 = $697.50.

A cleaning solution requires 3 parts concentrate to 7 parts water. A worker needs to prepare 40 liters of the solution. How many liters of concentrate are needed?

Answer: 12 liters

Total parts = 3 + 7 = 10. Concentrate = (3 ÷ 10) × 40 = 12 liters.

A salesperson earns a base salary of $350 per week plus a 6% commission on all sales. Last week, total sales were $4,200. What were the salesperson's total earnings for the week?

Answer: $602.00

Commission = 0.06 × $4,200 = $252. Total earnings = $350 + $252 = $602.00.

A power tool has a list price of $240. A store offers a 25% discount, and state sales tax is 8%. What is the final price after the discount and tax?

Answer: $194.40

Discounted price = $240 × 0.75 = $180. With tax = $180 × 1.08 = $194.40.

A restaurant worker earns $13.50 per hour and works a 38-hour week. The employer deducts 15% of gross pay for taxes and benefits. What is the worker's net take-home pay for the week?

Answer: $436.05

Gross pay = 38 × $13.50 = $513.00. Deduction = 0.15 × $513 = $76.95. Net pay = $513.00 − $76.95 = $436.05.