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GED Math Models — practice questions

Explore 13 free Math Models questions in GED Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Math Models questions and exercises with answers

Showing questions 1–13 of 13.

Bianca sold 100 tickets in all, each one either an adult or a child ticket. If she sold x child tickets, how many adult tickets did she sell?Read the answer and worked solution →The simple interest formula is I = Prt. When money is invested for exactly one year, what does the formula become?Read the answer and worked solution →Three consecutive even integers are needed for a problem. If the first is called n, what are the next two?Read the answer and worked solution →A store discounts an item. Once the amount of discount is known, how is the sale price found?Read the answer and worked solution →What number is 45% of 80?Read the answer and worked solution →110 is what percent of 88?Read the answer and worked solution →One serving of cereal has seven grams of fiber, which is 28% of the recommended daily amount. What is the total recommended daily amount of fiber?Read the answer and worked solution →The standard bus fare in Chicago rose from $1.50 in 1995 to $2.25 in 2008. What was the percent increase?Read the answer and worked solution →Areli invested a principal of $950 at a 3% interest rate. How much simple interest did she earn in 5 years?Read the answer and worked solution →Michaela has $2.05 in dimes and nickels, with seven more dimes than nickels. How many dimes does she have?Read the answer and worked solution →A triangle has angles of 31 degrees and 128 degrees at two of its corners. How large is the angle at the third corner?Read the answer and worked solution →Sheila's salary fell from $42,000 last year to $37,800 this year because of furlough days. Find the percent decrease.Read the answer and worked solution →Remy has $14,000 to split between a fund paying 4% and a fund paying 7%. To earn 6.1% on the whole amount, how much should go into the 4% fund?Read the answer and worked solution →

Worked practice questions

Bianca sold 100 tickets in all, each one either an adult or a child ticket. If she sold x child tickets, how many adult tickets did she sell?

  1. x - 100
  2. 100 - x
  3. 100 + x
  4. 200 - x
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Correct answer: B. 100 - x

1. Every ticket is either an adult or a child ticket, so the two counts add up to 100. 2. If x tickets were child tickets, subtract them from the total: 100 - x remain. 3. Those remaining tickets are the adult tickets, so she sold 100 - x adult tickets. 4. Adding to get 100 + x would create more tickets than were sold, which is the trap option. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_

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The simple interest formula is I = Prt. When money is invested for exactly one year, what does the formula become?

  1. I = Pt
  2. I = rt
  3. I = Pr
  4. I = P + r
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Correct answer: C. I = Pr

1. In I = Prt, the letter t stands for the time in years. 2. For one year, t = 1, and multiplying by 1 changes nothing. 3. The formula becomes I = Pr, the principal times the rate. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.2 Solve Percent Applications_

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Three consecutive even integers are needed for a problem. If the first is called n, what are the next two?

  1. n + 1 and n + 2
  2. n + 1 and n + 3
  3. n + 4 and n + 8
  4. n + 2 and n + 4
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Correct answer: D. n + 2 and n + 4

1. Consecutive even integers each sit 2 more than the one before. 2. Starting from n, the next even integer is n + 2. 3. The one after that is n + 2 + 2, which is n + 4. 4. Using n + 1 would land on an odd number, the trap in two of the wrong options. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_

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