Quantitative ReasoningGMAT Focus Edition

GMAT Expressions & Factorization practice questions

Expressions & Factorization is a high-yield GMAT topic. Work through these practice questions to build accuracy and speed before test day.

Free Expressions & Factorization practice

4 sample questions

Practice Question 1easyProblem Solving

A film studio estimates that the number of movie tickets sold is directly proportional to the square root of the amount spent on marketing. If spending $1.25 million on marketing results in 500,000 tickets sold, how many tickets would be sold if $2.00 million were spent on marketing?

600,000

632,456

700,000

750,000

800,000

Practice Question 2mediumProblem Solving

A laboratory technician is preparing a chemical solution that requires mixing two components, A and B, in a ratio of 2 to 3. However, the technician accidentally mixes them in a ratio of 3 to 2. To correct the mistake, the technician needs to add more of component B. If the initial incorrect mixture has a total volume of 20 milliliters, how many additional milliliters of component B must be added to achieve the correct 2:3 ratio?

Practice Question 3mediumProblem Solving

A film studio projects that the revenue from its new movie will be directly proportional to the square root of the advertising budget. If spending $1.6 million on advertising is projected to generate $8 million in revenue, how much revenue (in millions) would spending $2.5 million on advertising generate?

9.5

10.5

12.5

Practice Question 4hardProblem Solving

A pharmaceutical company models drug efficacy as $E = k(x^2 - 4x + 4)$ , where $x$ is dosage in mg. When testing with 6 mg, efficacy was measured at 32 units. The company needs to factor this quadratic expression to determine the dosage required to achieve 50 units of efficacy. What dosage increase from 6 mg is needed? (Note: The company never tests dosages below 2 mg.)

1 mg

2 mg

3 mg

4 mg

5 mg

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GMAT Expressions & Factorization practice questions

Free Expressions & Factorization practice

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