CCAT Average Questions: Mean, Totals and Missing Values

Last updated: 2026-07-28

CCAT average questions can be useful independent preparation for the CCAT, but Criteria publicly defines the broader official ability area as Math and Logic rather than guaranteeing a fixed number of this narrow subtype on every live assessment.

The standard CCAT contains:

50 multiple-choice questions;
a 15-minute time limit;
Verbal Ability, Math and Logic, and Spatial Reasoning content;
no calculator;
no additional wrong-answer penalty.

This guide focuses on arithmetic means, totals, missing values, and the difference between simple and weighted averages.

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Continue with our numerical CCAT practice
Use our CCAT practice comparison and online tests first, or take the free 30-question CCAT practice test. For an external numerical guide, review JobTestPrep's CCAT math questions. Its complete CCAT PrepPack is another independent option.

Scope and Official Context

This page isolates mean, total and missing-value methods. It should be combined with mixed numerical practice because the official CCAT does not contain a separately timed averages section.

Criteria’s current candidate guidance confirms 50 questions in 15 minutes, no calculator, no additional penalty for an incorrect answer, and advice to guess and move on when a question consumes too much time.

CCAT Average Questions at a Glance

Topic	Guidance
Official CCAT area	Math and Logic
Narrow subtype count	Not publicly guaranteed
Calculator	Not permitted
Main objective	Produce correct answers efficiently
Best learning sequence	Method, untimed accuracy, short timed sets, mixed practice
Live-test rule	Follow the invitation and on-screen instructions

Does the CCAT Include This Exact Question Type?

Criteria publicly identifies three broad ability areas rather than publishing a permanent item-by-item blueprint for every live CCAT.

Independent preparation commonly uses CCAT average questions to develop calculator-free numerical reasoning, operation selection, estimation, and answer-choice elimination.

Use this page to learn transferable methods. Do not assume that:

every candidate receives the same number of these questions;
the questions appear in one fixed position;
the exact examples below appear on the live assessment;
performance on this subtype alone determines the official result.

The CCAT is a dynamic assessment drawing from a large item bank.

Core Method

Translate every average into total ÷ number of values.
Recover a total by multiplying the average by the number of values.
Find a missing value by subtracting the known total from the required total.
Do not average two group averages unless the groups are the same size.
Use changes in total to calculate changes in average quickly.

A Fast Decision Process

Use this sequence during practice:

identify the exact instruction;
name the relevant relationship or operation;
remove options that cannot work;
complete the shortest reliable reasoning;
select an answer and continue;
review the method only after the timed set ends.

Use short arithmetic, estimation, and elimination before committing to long exact work.

Worked Preparation Principle

Do not measure progress only by whether one answer is correct.

Record:

Question subtype:
Correct or incorrect:
Time spent:
Confident, eliminated, or guessed:
Cause of error:
Faster method:

A correct answer reached through a remembered option or random guess does not demonstrate the same readiness as a correct answer reached through a repeatable method.

Original Practice Questions

The following questions are independently created for skill development. They are not official, recalled, or copied CCAT items.

Question 1

What is the average of 12, 16, 20, and 24?

A. 16
B. 17
C. 18
D. 19
E. 20

Question 2

Five values have an average of 14. Four of the values total 52. What is the fifth value?

A. 14
B. 16
C. 18
D. 20
E. 22

Question 3

What is the average of 8 and 14?

A. 9
B. 10
C. 11
D. 12
E. 13

Question 4

Daily totals are 24, 27, 25, 28, and one unknown value. The five-day average is 26. What is the unknown value?

A. 24
B. 25
C. 26
D. 27
E. 28

Question 5

One value in a set of six increases by 12. By how much does the average increase?

A. 1
B. 2
C. 3
D. 6
E. 12

Answers and Explanations

1. Answer: C

The total is 72. Divide by 4 to obtain 18.

2. Answer: C

The required total is 5 × 14 = 70. The missing value is 70 - 52 = 18.

3. Answer: C

Add the values and divide by 2: (8 + 14) ÷ 2 = 11.

4. Answer: C

The required total is 5 × 26 = 130. The known values total 104, so the missing value is 26.

5. Answer: B

The total increases by 12. Spread across 6 values, the mean increases by 12 ÷ 6 = 2.

Common Mistakes

Avoid:

adding values but dividing by the wrong count;
averaging averages without group sizes;
forgetting to include a new value in the count;
confusing median with mean;
recalculating every value when a total shortcut is available;

Also avoid assuming that one difficult question deserves unlimited time. Criteria advises candidates to make an educated guess and move on when stuck, and to move on after spending more than one minute on a problem.

Timed Strategy

Begin untimed when the method is unfamiliar.

Then progress through:

short sets focused on this subtype;
mixed sets containing other question families;
a full 50-question, 15-minute simulation;
detailed review of errors, guesses, and long stalls.

Do not use the 18-second mathematical average as a hard timer for every question. Some items should be answered faster, while a nearly completed solution may justify a few additional seconds.

When to Guess and Move On

Move on when:

the required relationship remains unclear after a focused reread;
two attempted methods have failed;
the same options are being compared without new information;
the question is consuming time needed for more accessible items.

Use elimination first. Because the standard CCAT has no additional wrong-answer penalty, an informed guess can still earn a raw-score point.

The live interface controls whether skipping, returning, or changing answers is possible. Do not rely on a navigation feature unless the official instructions confirm it.

How to Review Practice Results

Track:

correct answers;
questions attempted;
accuracy;
time spent;
correct guesses;
random guesses;
repeated errors;
whether questions were new or already familiar.

Repeated questions can inflate speed and accuracy because you may remember the answer rather than apply the method.

Use unseen or minimally repeated material when measuring readiness.

How This Topic Fits the Full CCAT

This topic supports the broader Math and Logic area.

It should be combined with preparation across all three official abilities.

Use the CCAT math-questions guide for broader category preparation and the complete CCAT preparation guide for the full study process.

Official Practice vs Independent Practice

Criteria provides shortened candidate practice tests intended for familiarization. Criteria states that they do not reproduce the exact complete experience or full difficulty of an assigned assessment.

Independent full-length practice can help reproduce:

50 questions;
15-minute timing;
mixed reasoning;
calculator-free numerical work;
score and error review.

Independent questions and results are not official Criteria questions, raw scores, or percentiles.

Independent Preparation Options

Our primary preparation route is the CCAT practice comparison and online tests on CCATPracticeTest.com.

Continue with structured CCAT practice

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Candidates comparing another independent provider may review JobTestPrep.

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JobTestPrep is not the official Criteria publisher. Its products, quantities, prices, access terms, ratings, score estimates, and question-type descriptions can change.

Frequently Asked Questions

Is this an official fixed CCAT section?

No. Criteria publicly reports the broader ability area Math and Logic. This page isolates one useful independent practice family.

How many of these questions appear on the CCAT?

Criteria does not publish a guaranteed narrow subtype count for every live assessment.

Should I use a calculator?

No. Calculators are not permitted during the standard CCAT, so realistic numerical practice should be calculator-free.

Should I memorise the practice questions?

No. Learn the transferable method and use unseen material when measuring progress.

How fast should I answer?

There is no separate official timer for this subtype. The complete test has 15 minutes for 50 questions.

What should I do when I am stuck?

Eliminate impossible options, make the most informed guess available, and continue.

Can this topic determine whether I pass?

No. There is no universal CCAT passing score, and the official result covers the complete assessment.

Is an independent practice score official?

No. It is preparation data from that question set, not an official Criteria result or percentile.

Where should I continue studying?

Use the CCAT math-questions guide, the CCAT question-types guide, and free and premium CCAT practice tests.

Official and Independent Sources

Independent-Site Notice

CCATPracticeTest.com is an independent information and test-preparation website.

It is not affiliated with, authorized by, sponsored by, or endorsed by Criteria.

The original questions on this page are independently created and do not reproduce secure live content.

The official invitation, live instructions, score report, and employer communication take priority over third-party information.

Practice before test day
Start with the free CCAT practice test, the CCAT math practice and the complete preparation guide. For a full timed simulation, use the free and premium CCAT practice tests or the CCAT study plan. Structured preparation is also available through CCATPracticeTest.com practice options and the JobTestPrep CCAT PrepPack.