ACT Practice Questions #21

These questions are taken from the 2020/2021 Preparing for the ACT practice Booklet

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The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph. Which value is it?

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• 6

• 9

• 12

• 19

Answer explanation

This is integrating essential skills

Make sure to read the graph labels

In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined @221 for speeding on a road with a posted speed limit of 30 mph. Kirk was fined for traveling at what speed, in miles per hour?

• 13

• 17

• 43

• 47

• 60

Answer explanation

THis is numbers and quantity

Pay attention to answering the question asked. This sometimes means one additional step

The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median?

• 315

• 320

• 336

• 350

• 360

Answer explanation

This is both statistics and modeling

Understanding how to compute both median and mean are important to this question

• -18

• -2

• 0

• 2

• 19

Answer explanation

This is integrating essential skills

Absolute value is the distance from zero

Answer explanation

This is numbers and quantity

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• 7

Answer explanation

This is algebra

Knowing the slope form of an equation is key

For which of the following conditions will the sum of the integers m and n always be an odd integer?

• m is an odd integer

• n is an odd integer

• m and n are both odd integers

• m and n are both even integers

• m is an odd integer and n is an even integer

Answer explanation

This is both integrating essential skills and modeling

Using sample numbers would be a good approach to this

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• 20

• 21

• 28

• 40

Answer explanation

THis is Geometry

You need to remember pythagorean thm and ALSO to answer the question asked.

• 3

• cannot be determined from the given information

Answer explanation

This is geometry.

It does not state that the triangle is right, therefore pythagorean thm is not an option