ACT/SAT Practice Problems #20

These questions were copied from the 2020/2021 Preparing for the ACT booklet

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The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of he 3 officers of the club. What is the probability that Hiroko, who is a member of the club but NOT an officer will be chosen?

• 0

Answer explanation

This is Statistics and Probability

Remember that probability is

Success/possibilities

Tags

CCSS.7.SP.C.7B

Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all the other ingredients in the recipe proportionally. What is the total number of servings the modified recipe will make?

• 6

• 8

• 10

• 12

• 15

Answer explanation

This question is integrating essential skills

This is a good time to use proportions

• 2

• 4

• 11

• 16

• 44

Answer explanation

This is Algebra

Using the technique of plugging in the answers is a good choice here

• -18

• -26

• -33

• -60

• -75

Answer explanation

This comes under functions

Tags

CCSS.HSF.IF.A.2

A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?

Answer explanation

This is integrating essential skills?

Tags

CCSS.7.SP.C.7B

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

• 1

• 4

• 5

• 6

• 75

Answer explanation

This is integrating Essential Skills

• 40

• 57

• 77

• 83

• 97

Answer explanation

This is from Geometry.

Remember the angles of a triangle total 180

Tags

CCSS.HSG.CO.C.11

• 2

• 5

• 10

Tags

CCSS.6.EE.A.2C

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (3,8) and (1,-4)

• (-2,-12)

• (-1,-6)

• (2,2)

• (4,-12)

Answer explanation

This is geometry. Midpoint formula is one of the basics formulas you need to have memorized

Tags

CCSS.HSG.GPE.B.6