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Quizzes > Mathematics > Advanced Math

Master Computational Thinking: Take the Quiz Now!

Think you can master logical methodical step-by-step procedures? Start the quiz!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art collage of numbers shapes arrows on teal background hinting at logical step by step problem solving quiz

This computational questions quiz helps you practice step-by-step logic and break problems into clear moves. Use it to build problem-solving speed and spot gaps before a test. If you want a warm-up, try a short computer science set or take a quick problem-solving check .

What is the next number in the sequence 2, 4, 6, 8, ...?
8
12
9
10
This sequence is an arithmetic progression increasing by 2 each time, so adding 2 to 8 yields 10.
What is 15% of 200?
35
20
30
25
To find 15% of 200, multiply 200 by 0.15, resulting in 30.
If a = b and b = c, what is the relationship between a and c?
a = c
Cannot determine
b > a
a > b
By the transitive property in mathematics, if a equals b and b equals c, then a equals c.
What is the binary representation of the decimal number 5?
1001
110
111
101
In binary, 5 equals 4 + 1, which corresponds to bits 1 0 1.
True or False: In logic, the AND operation yields true only if both inputs are true.
True
False
The logical AND operation returns true only when all operands are true; otherwise it returns false.
If 3x + 5 = 20, what is the value of x?
6
3
4
5
Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.
How many different 5-digit codes can be formed from digits 0 - 9 if no digit repeats?
30240
60480
100000
15120
This is the number of permutations of 10 digits taken 5 at a time: 10×9×8×7×6 = 30240.
Simplify the fraction 45/60 to its lowest terms.
5/6
3/5
3/4
4/5
Both numerator and denominator are divisible by 15, giving (45÷15)/(60÷15) = 3/4.
What is the sum of the first 10 positive integers?
55
60
45
50
The formula for the sum of the first n integers is n(n+1)/2. For n=10, 10×11/2 = 55.
What is the result of the bitwise OR operation between 5 (0101) and 3 (0011)?
4
7
1
6
Bitwise OR sets each bit to 1 if either bit is 1: 0101 OR 0011 = 0111, which is 7.
How many diagonals does a convex pentagon have?
7
3
5
10
A convex n-gon has n(n-3)/2 diagonals; for n=5, 5×2/2 = 5 diagonals.
Solve for x: 2^x = 32.
5
6
4
8
32 is 2 raised to the 5th power, so x = 5.
Evaluate the sum of squares: ? from k=1 to 4 of k^2.
30
24
40
20
Compute 1^2+2^2+3^2+4^2 = 1+4+9+16 = 30.
In a perfect binary tree, what is the maximum number of nodes at level 4 (root is level 0)?
32
8
12
16
In a perfect binary tree, each level doubles the nodes; level 4 has 2^4 = 16 nodes.
How many distinct arrangements are there of the letters in the word 'LEVEL'?
60
30
20
15
The word 'LEVEL' has 5 letters with L repeated twice and E repeated twice, so total permutations = 5!/(2!×2!) = 120/4 = 30.
0
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Study Outcomes

  1. Understand Computational Questions -

    Gain familiarity with computational questions and how they assess your ability to apply logical reasoning to solve problems effectively.

  2. Analyze Methodical Problem-Solving Steps -

    Identify why logical methodical step-by-step procedures for solving problems are called computational thinking practices and how they guide solution development.

  3. Apply Algorithmic Strategies -

    Use challenges from our computational thinking quiz to apply proven problem-solving procedures in new scenarios and contexts.

  4. Evaluate Solution Efficiency -

    Assess different approaches to optimize your problem-solving procedures and choose the most effective strategies.

  5. Develop Critical Thinking Skills -

    Strengthen your ability to dissect complex thinking test questions, recognize patterns, and construct logical solution paths.

  6. Improve Performance Through Feedback -

    Leverage quiz results to refine your approach to computational questions and enhance both accuracy and speed.

Cheat Sheet

  1. Decomposition -

    Break larger computational questions into smaller, manageable parts to simplify complexity. For example, sorting a deck of cards can be decomposed into shuffling, comparing pairs, and merging sorted piles, a method taught in MIT's introductory algorithms course. Use the mnemonic "Cut Into Pieces" to remember decomposition steps.

  2. Pattern Recognition -

    Identify similarities or trends within data sets to predict outcomes and streamline solutions. When practicing for a computational thinking quiz, noticing patterns in number sequences (e.g., arithmetic progression a_n = a_1 + (n−1)d) can drastically speed up problem-solving as described by Carnegie Mellon University. Practice by spotting patterns in simple series like 2, 4, 8, 16 to reinforce your skills.

  3. Abstraction -

    Filter out irrelevant details to focus on the essential elements of a problem, a core principle in computational thinking. According to Stanford's CS curriculum, using models like flowcharts or pseudocode (e.g., IF-THEN statements) helps clarify what truly matters when tackling computational questions. Remember "Less is More" to guide your abstraction approach.

  4. Algorithm Design -

    Develop logical, step-by-step procedures for solving tasks efficiently and deterministically. The Boston University ACM guidelines emphasize planning with clear structures like loops (FOR i=1 TO n) and conditionals (IF x>0 THEN…). Try writing out an algorithm for everyday routines, like making coffee, to practice.

  5. Evaluation & Debugging -

    Test and refine your algorithms by checking edge cases, performance, and correctness, as recommended by the IEEE Computer Society. Use test inputs such as zero, negative, and maximum values to uncover flaws in logic or runtime issues. A simple "Trace & Test" mantra will help you systematically debug your code.

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