# Numerical Skills/Pre-Algebra Placement

(Averages: Means, Medians, and Modes) | |

1. | What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2?A. 3B. 4C. 4D. 5E. 6 |

(Basic Operations with Decimals) | |

2. | Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?A. 12B. 20C. 30D. 60E. 108 |

(Basic Operations with Fractions) | |

3. | How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 yards long, and 5 pieces, each 2 yards long, are removed?A. 2B. 4C. 4D. 10E. 10 |

(Percentages) | |

4. | Phillip charged $400 worth of goods on his credit card. On his first bill, he was not charged any interest, and he made a payment of $20. He then charged another $18 worth of goods. On his second bill a month later, he was charged 2% interest on his entire unpaid balance. How much interest was Phillip charged on his second bill?A. $8.76B. $7.96C. $7.60D. $7.24E. $6.63 |

**Answers:**

1. C

2. C

3. A

4. B

*These items are not actual items from ACT Compass ^{®} but are similar in content and format. These items are presented for illustrative purposes and do not constitute a full representation of item content.*