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Quizzes > Mathematics

Analytical Test: Puzzles to Build Problem-Solving Skills

Quick, free analytical skills test with puzzles. Instant results.

Editorial: Review CompletedCreated By: Ani MihailovaUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style brain composed of puzzle pieces floating on sky blue background symbolizing analytical skills test.

This analytical skills test helps you practice logic, spot patterns, and test your problem-solving under light time pressure. You will see which strategies work best and where to improve. For more practice, try our analytical thinking test, tackle a critical thinking quiz, or build vocabulary and logic with an analogy practice test.

What is the next number in the sequence: 2, 4, 8, 16, ...?
30
24
26
32
Each term in the sequence is obtained by multiplying the previous term by 2, so 16 × 2 = 32. This pattern is an example of a geometric progression. Learn more about sequences at .
If all bloops are razzies and all razzies are lazzies, which statement must be true?
Some razzies are bloops
No bloops are lazzies
All lazzies are bloops
All bloops are lazzies
By transitive logic, if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops must also be a subset of lazzies. This is a basic syllogism structure. For further examples see .
Mary is 5 years old. John is twice as old as Mary. How old is John?
15
8
20
10
Twice Mary's age of 5 is 10, so John is 10 years old. This is a straightforward multiplication problem often found in age-related puzzles. See more age problems at .
Which fruit can be formed by rearranging the letters P, A, E, L, P?
Leapp
Apple
Palep
Pealp
Rearranging P, A, E, L, P spells APPLE, which is a common anagram puzzle. Such puzzles test your pattern recognition and vocabulary. For more anagrams, visit .
What is the next number in the sequence: 3, 8, 18, 33, ...?
50
53
52
54
The differences between terms are 5, 10, and 15, so the next difference is 20, giving 33 + 20 = 53. Recognizing the pattern of increasing increments is key. More on sequence patterns at .
If 5 machines produce 5 widgets in 5 minutes, how many machines are needed to produce 100 widgets in 100 minutes?
1
25
5
20
One machine makes 1 widget in 5 minutes, so in 100 minutes it makes 20 widgets. To produce 100 widgets, 5 machines are required. This is a classic work-rate problem. More at .
If x + y = 10 and x ? y = 4, what is the value of x?
3
2
7
8
Adding the equations gives 2x = 14, so x = 7. Subtracting verifies y = 3. Solving simultaneous linear equations is a core algebra skill. See examples at .
Three painters can paint three walls in three days. How many days will six painters take to paint six walls?
9
6
1.5
3
One painter paints one wall in three days. Six painters each paint a wall simultaneously, so they finish six walls in three days. This illustrates the inverse relationship of workers and time. More at .
A bag contains 5 red and 7 blue balls. If two balls are drawn without replacement, what is the probability both are red?
5/33
1/12
1/6
5/22
The probability is (5/12)·(4/11)=20/132, which simplifies to 5/33. This is a basic application of probability without replacement. Review combinatorial probabilities at .
If all X are Y and some Y are Z, what valid conclusion can be drawn?
Some X are Z
All X are Z
No conclusion can be drawn
All Z are X
Since the 'some Y are Z' may refer to Ys outside of X, we cannot deduce any definite relationship between X and Z. This illustrates the limits of categorical syllogisms. For more see .
A class has 10 students averaging 80 and 20 students averaging 70. What is the combined average score?
75
73
73.33
78
The combined average is (10×80 + 20×70) / 30 = 2200/30 ? 73.33. This is a weighted average calculation. Learn more at .
Three boxes are each labeled 'Apples,' 'Oranges,' and 'Apples & Oranges,' but all labels are wrong. You may pick one fruit from one box to correct all labels. Which box do you choose?
The box labeled 'Apples'
The box labeled 'Apples & Oranges'
No single choice will solve it
The box labeled 'Oranges'
By taking one fruit from the box labeled 'Apples & Oranges' (which must contain only one type), you can deduce the contents and then relabel all boxes correctly. This classic logic puzzle is detailed at .
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Study Outcomes

  1. Analyze Logical Patterns -

    After completing the analytical skills test, you will be able to identify and dissect patterns within complex scenarios to uncover underlying principles.

  2. Interpret Data Efficiently -

    You will learn to quickly interpret information presented in puzzles and draw accurate, logical conclusions under time constraints.

  3. Apply Critical Thinking Strategies -

    Gain practical strategies for approaching and solving diverse analytical questions effectively and confidently.

  4. Evaluate Problem-Solving Approaches -

    You will be capable of comparing different methods to resolve analytical challenges and select the most efficient solution.

  5. Strengthen Reasoning Speed -

    Enhance your ability to process information rapidly and boost your mental agility through engaging brain teasers.

  6. Develop Systematic Breakdown Techniques -

    Learn to break down complex puzzles into manageable steps, improving your overall analytical thinking process.

Cheat Sheet

  1. Pattern Recognition Strategies -

    In an analytical skills test, you'll often face number or shape sequences; try computing first and second differences (e.g., 2, 5, 10, 17 ⇒ differences 3, 5, 7) to spot quadratic patterns. Research from the University of Cambridge shows that training in visual chunking boosts accuracy by 20% on sequence puzzles. Use the "shell method" mnemonic: Scan - Highlight - Examine - Link to sharpen your sequence-spotting skills.

  2. Logical Deduction Techniques -

    Logical syllogisms (if A ⇒ B and B ⇒ C, then A ⇒ C) are staples of an analytical ability test and help you infer conclusions rigorously. The Stanford Encyclopedia of Philosophy notes that mastering truth tables for "and/or" statements reduces error in multi-step logic puzzles. Practice by writing simple conditional chains (e.g., "If it rains, the ground is wet") to internalize deductive flow.

  3. Data Interpretation Methods -

    Analytical skills assessment tests often include charts or tables; start by identifying key variables, units, and scales - label axes in your mind or on scratch paper. The OECD highlights the importance of calculating percentages and rate changes (Δ = (new - old)/old × 100%) to summarize trends quickly. Use the "CIA" approach: Check labels, Identify peaks, Analyze slopes when reading graphs under time pressure.

  4. Problem Decomposition Approach -

    Polya's classic four-step framework (Understand, Plan, Execute, Review) is core to any analytical thinking test and helps you break complex puzzles into bite-sized tasks. According to a Journal of Educational Psychology study, students who outline subgoals solve multi-part problems 30% faster. Write down each subtask (e.g., categorize data, compute intermediate values) before diving into calculations.

  5. Hypothesis Testing and Assumption Checking -

    In an analytical thinking test, you often need to propose solutions and quickly test them; frame hypotheses (e.g., "assuming pattern repeats every 3 steps") and check with sample data points. The American Psychological Association stresses that validating or falsifying assumptions cuts down wasted reasoning time. Adopt the "Five Whys" tactic - ask "why?" repeatedly to unearth hidden premises.

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