CCAT Math Questions: Topics, Examples & No-Calculator Methods

CCAT math questions test how efficiently you can reason with numbers under strict time pressure.

Criteria officially groups numerical content within the Math and Logic ability area. Its current candidate guidance specifically mentions basic algebra, proportions and word problems. Calculators are not permitted.

Practice CCAT math and mixed questions

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Scope and Official Context

The standard CCAT contains 50 questions in 15 minutes across Verbal Ability, Math and Logic, and Spatial Reasoning.

Criteria does not publish a guaranteed narrow count for every numerical subtype in every live administration. Third-party topic counts are provider estimates, not an official blueprint.

The examples and methods on this page are independently created. They are not copied from a live Criteria assessment.

CCAT Math at a Glance

Core Question Families

Arithmetic

Expect basic operations with whole numbers, negatives and simple order of operations.

Example:

18 + 6 × 4 = ?

Apply multiplication first:

6 × 4 = 24
18 + 24 = 42

Use the arithmetic guide.

Fractions and Decimals

Convert only when useful. Compare fractions by using common denominators, cross-multiplication or decimal benchmarks.

Example:

Which is larger: 3/8 or 0.4?
3/8 = 0.375
0.4 is larger

Use the fractions and decimals guide.

Percentages and Ratios

Learn common percentage-fraction relationships:

50% = 1/2
25% = 1/4
20% = 1/5
10% = 1/10

Example:

15% of 80 = 10% of 80 + 5% of 80
= 8 + 4
= 12

Use the percentages and ratios guide.

Averages

Use:

average = total ÷ number of values
total = average × number of values

Example:

The average of 4 numbers is 18.
Their total is 4 × 18 = 72.

Use the averages guide.

Rates and Time

Keep units consistent.

Example:

A machine produces 24 parts in 6 minutes.
Rate = 24 ÷ 6 = 4 parts per minute.

Use the rates and time guide.

Simple Algebra

Work backwards or isolate the unknown.

Example:

3x + 5 = 20
3x = 15
x = 5

Use the simple algebra guide.

Word Problems

Translate the wording into a short mathematical structure before calculating.

Identify:

1. what is known;
2. what is requested;
3. the relationship between values;
4. the required unit.

Use the word-problems guide.

Tables and Graphs

Read the title, units and labels before calculating. Many mistakes come from using the wrong row, column or unit.

Use the tables and graphs guide.

Number Sequences

Check simple differences, alternating rules, multiplication, division and combined patterns.

Example:

4, 7, 10, 13, ?
Rule: +3
Answer: 16

Use the number-sequences guide.

No-Calculator Methods

Break Numbers Apart

47 × 6 = 40 × 6 + 7 × 6
= 240 + 42
= 282

Use Compatible Numbers

For estimation, replace awkward values with nearby numbers that are easier to calculate.

Cancel Before Multiplying

In fractions and ratios, simplify common factors before performing large multiplications.

Work From the Answer Choices

When options are widely separated, estimation or substitution may be faster than a full exact solution.

Check the Direction

Before calculating, ask whether the answer should be larger, smaller, positive, negative or within a plausible range.

Use the mental-math guide.

Time Management

Fifteen minutes equals 900 seconds, or a mathematical average of 18 seconds per question. This is not a rigid item timer.

Continue when:

• the method is clear;
• the arithmetic is short;
• one final step remains;
• answer choices can simplify the work.

Guess and move on when:

• the setup remains unclear;
• calculations are becoming long;
• the same information is being reread;
• two methods have failed;
• the item is consuming disproportionate time.

Criteria advises candidates to make an educated guess and move on if a problem is taking too long. There is no additional wrong-answer penalty.

Use the time-management guide and guessing-strategy guide.

Common Math Mistakes

• ignoring order of operations;
• confusing percentage change with percentage points;
• mixing units;
• averaging averages without considering group size;
• solving more exactly than the answer choices require;
• using a correct formula with the wrong values;
• forgetting that the CCAT is mixed, not a separate maths section;
• spending too long because the problem looks familiar.

A Practical Math Study Sequence

1. Complete an unseen mixed baseline.
2. Identify repeated numerical error types.
3. Review arithmetic and fraction foundations.
4. Practice percentages, ratios and averages.
5. Add rates, algebra and word problems.
6. Train number sequences and table reading.
7. Use short timed numerical sets.
8. Return to mixed CCAT practice.
9. Complete full 50-question simulations.
10. Review errors, guesses and long stalls.

Use the math practice set and CCAT error-log guide.

Frequently Asked Questions

How many math questions are on the CCAT?

Criteria groups numerical and logical content within Math and Logic but does not promise a fixed narrow subtype allocation for every live test.

Is advanced mathematics required?

No. The challenge is mainly speed, interpretation and calculator-free application of foundational concepts.

Can I use scratch paper?

Follow the live instructions. Do not assume that a material allowed on a practice site is permitted in the official event.

Can I use a calculator?

No. Criteria’s current candidate guidance states that calculators are not allowed on the standard CCAT.

Should I prepare only for maths if applying to finance or technical jobs?

No. The CCAT also includes verbal and spatial questions.

Official and Independent Sources

• Official CCAT candidate preparation guidance
• Official CCAT overview
• CCAT Math practice set
• CCAT preparation guide
• JobTestPrep CCAT math practice

Independent-Site Notice

CCATPracticeTest.com is independent and does not reproduce official live questions or issue official scores.

The invitation and live assessment instructions take priority.