ACT/SAT math Practice #12

Alexis has to select one shirt, one pair of pants, and one pair of shoes. If he selects at random from his 8 shirts, 4 pairs of pants, and 3 pairs of shoes, and all his shirts, pants, and shoes are different colors, what is the likelihood that he will select his red shirt, black pants, and brown shoes?

• 1/3

• 1/4

• 1/15

• 1/32

• 1/96

An animal trainer is selecting a group of annimals for a feature film. The film's director requested three cats and four dogs. If the animal trainer has 15 cats and 7 dogs available, which of the following represents the number of different groups of animals that can be created for the film?

In January, a diner donated 300 meals to the local food bank. In February, the same diner donated 323 meals, and in March, the diner donated 346 meals. If the number of meals the diner donates each month increases by a constant amount, how many meals will the diner donate in July?

• 369

• 392

• 415

• 438

• 461

The ratio of boys to girls at the Milwood School is 4 to 5. If there are a total of 27 children at the school, how many boys attend the Milwood School?

• 4

• 9

• 12

• 14

• 17

Aubrie computed the average of her six biology test scores by mistakenly adding the totals of five scores and dividing by five, giving her an average score of 88. When Aubrie realized her error, she recalculated and included the sixth test score of 82. What is the average of Aubrie's six biology tests?

• 82

• 85

• 86

• 87

• 88

In the process of milling grain, 3% of the original is lost because of spillage, and another 5% of the original is lost because of mildew. If the mill starts out with 490 tons of grain, how much (in tons) remains to be sold after milling?

• 425

• 426

• 420.5

• 440

• 450.8

• 6ab

In the word HAWKS, how many ways is it possible to rearrange the letters if none repeat and the letter W must go last?

• 5

• 15

• 24

• 120

• 650

There are 7 terms in a finite arithmetic sequence, and the first term is 11. Which of the following is true about the median and the mean of the seven terms?

• The median is 7 more than the mean

• The median is 11 more than the mean

• The median and the mean are equal

• The median is 11 less than the mean

• The median is 7 less than the mean