# PSAT Math Grid-Ins Practice Test 10: Data Analysis: Ratios, Proportions, and Percents

**1.** For a school project, a student wants to build a replica of the Great Pyramid of Giza out of modeling clay. The real Great Pyramid has a square base with side length 750 feet and a height of 500 feet. If the student has 162 cubic inches of clay for her model, what height will her pyramid be in inches?

(The formula for the volume of a pyramid is and is provided in your test booklet.)

**2.** If an 8-ounce can of pineapple sells for $0.72 and a 20-ounce can costs $1.10, how many more cents does the 8-ounce can cost per ounce than the 20-ounce can? (100 cents = 1 dollar)

**3.** An artist is creating a rectangular tile mosaic. Her desired pattern uses 5 green tiles and 3 blue tiles per square foot of mosaic. If the artist's entire mosaic is 12 feet by 18 feet, how many more green tiles than blue tiles will she need?

**4.** The following table shows the chemical makeup of one mole (a unit of measure commonly used in chemistry) of acetone and the approximate mass of a mole of each component element.

Chemical Makeup of One Mole of Acetone | ||
---|---|---|

Element | Number of Moles | Mass per Mole (grams) |

Oxygen | 1 | 16 |

Carbon | 3 | 12 |

Hydrogen | 6 | 1 |

Oxygen makes up what percent of the mass of 1 mole of acetone? Round your answer to the nearest whole percent

**5.** The following table shows the chemical makeup of one mole (a unit of measure commonly used in chemistry) of acetone and the approximate mass of a mole of each component element.

Chemical Makeup of One Mole of Acetone | ||
---|---|---|

Element | Number of Moles | Mass per Mole (grams) |

Oxygen | 1 | 16 |

Carbon | 3 | 12 |

Hydrogen | 6 | 1 |

If a chemist starts with 1,800 grams of acetone and uses up 930 grams, approximately how many moles of carbon are left? Round your answer to the nearest whole mole

**6.** There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the lake two years ago?

**7.** There are 400 seniors and 420 juniors in a certain high school. Of the seniors, 65% are eligible for an advanced placement world history course. Among the juniors, 75% are not eligible to enroll in that course. How many more seniors than juniors could enroll in the course?

**8.** There are about 3 feet per meter and 1,000 meters per kilometer. Two cities are 1,800,000 feet apart; about how many kilometers apart are the two cities?

### Test Information

- 8 questions
- 12 minutes
- See All test questions

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