Questions and Answers
(5 + 3) * (2 + 1) * (10/20) + 5 = ?
About how many mail carriers must be hired to deliver mail to all of the Hewitt citizens each day?
How many of the dogs were females 4 years old or older?
What is the cost of 5 slices of turkey breast if 1 pound costs $7.98?
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What is the volume of a camping trailer that is 23 feet long, 15 feet wide, and 11 feet high?
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What percentage of Jonathan's time was spent studying?
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Which of these is an example of similar figures in the geometric sense?
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About how many times must the fuel tank be filled to run the generator from 6:15 PM to 7:00 AM?
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How much fuel is needed for the trip plus an additional 5 gallons?
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What is the completion percentage of the quarterback?
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What is the total premium paid for Jolie Marie's insurance policy every 6 months?
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How much money will Danny save if he uses the same suit two years in a row?
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How much tip share did the busboys receive together on their shift?
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What was the percentage of the reduction in price for the chandelier?
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If the long sides of Heather's rug measure 12 feet each, how long is each short side?
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Study Notes
Math Concepts and Problem Solving
- Operation Order: Follow the order of operations (PEMDAS) for solving expressions like (5+3) * (2+1) * (10/20) + 5.
- Address Deliveries: A postal carrier serves approximately 900 addresses daily. For a city with 26,942 residents, account for a 5% increase in hiring to cover absences, leading to the calculation of necessary carriers.
- Percentages and Ratios: 50% of 128 dogs being female implies 64 females, where 3 out of 4 being over 4 years translates to 48 females aged 4 or older.
- Unit Cost Calculation: Determine cost of deli meat by calculating $7.98 per pound and knowing there are 16 ounces in a pound to find the price per slice (5 slices).
- Volume Calculation: Compute the volume of a camping trailer using the formula length * width * height, leading to cubic feet measurements.
- Time Management: Assess time spent on various activities to find the percentage of time allocated to studying among a total of 7.5 hours.
- Similarity in Geometry: Understand similar figures by identifying relationships, such as a sailing ship and its scale model, both having proportional dimensions.
- Fuel Consumption: Calculate total fuel for a flight, considering the plane’s varying fuel consumption rates (15 gallons/hour vs. 18 gallons/hour) and adding extra for safety.
- Completion Percentage: For a quarterback, calculate completion percentage using successful passes out of total attempts, resulting in a statistical performance metric.
- Insurance Premiums: Calculate total payments for a life insurance policy by determining half-yearly payments based on an annual premium of $15 per $1000 coverage.
- Cost-Benefit Analysis: Compare tuxedo rental versus purchase costs, including dry cleaning, to determine potential savings over two years.
- Tip Calculation: For shared tips among staff, understand how to calculate total tip amount based on sales and distribute it fairly among workers based on their ratios.
- Percentage Reduction: Apply percentage formulas to assess item discounts, calculating the percentage reduction from $1,399 to $1,149.
- Perimeter Calculation: Use the perimeter formula for a rectangle (P = 2L + 2W) to find the lengths of the short sides given the long sides' measurements.
- Average Distance Travelled: For multiple days, use total mileage divided by the number of days to calculate the average distance driven per day.
General Study Tips
- Focus on understanding formulas and processes to solve various types of math problems.
- Practice real-life applications of math concepts to enhance retention and understanding.
- Use diagrams and visual aids for geometry and measurement-related concepts.
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Test your math skills with these ASVAB flashcards. Each card presents a math problem, challenging you to apply your knowledge in real-world scenarios. Perfect for anyone preparing for the ASVAB exam!
