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Quizzes > Mathematics > Basic Math & Arithmetic

Test Your Mathematical Reasoning Skills Now!

Think you can ace these reasoning mathematics questions and maths logical reasoning challenges?

Editorial: Review CompletedCreated By: Hadas Manor SordoUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration with math symbols and shapes on coral background for a logical reasoning quiz

Use this free quiz to practice mathematical reasoning questions and sharpen how you spot patterns and solve problems. You'll work through puzzles, sequences, and spatial tasks with instant feedback and clear steps, so you can check gaps before an exam or enjoy quick brain training.

What is the value of 7 + 6 x 2 using standard order of operations?
20
19
26
25
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A rectangle has length 12 and width 5. What is its perimeter?
34
24
17
60
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If x = 3, what is the value of 2x^2 - x?
9
12
15
18
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Which number is a multiple of both 4 and 6?
22
18
12
20
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The mean of 8, 10, and 14 rounded to the nearest integer is
13
11
12
10
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If a - b = 5 and b = 2, what is a?
10
3
7
-3
undefined
Simplify the ratio 18:24
2:3
4:3
3:4
6:8
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The slope of the line through (1,2) and (3,6) is
3
1
4
2
undefined
A triangle has sides 3, 4, and 5. What is the area?
5
6
7.5
12
undefined
Which is the next term in the sequence 2, 6, 18, 54, ...?
162
112
108
72
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If y varies directly with x and y=15 when x=5, what is y when x=9?
24
18
27
20
undefined
Solve the system: x + y = 10 and x - y = 2
(8,2)
(5,5)
(6,4)
(4,6)
undefined
The quadratic x^2 - 5x + 6 = 0 has roots
x=1 and x=6
x=2 and x=3
x=3 and x=5
x= -2 and x= -3
undefined
Evaluate: log10(1000)
1
10
3
2
undefined
The determinant of [[1,2],[3,4]] equals
-1
1
2
-2
undefined
How many distinct permutations of the letters in the word LEVEL are there?
20
60
30
10
undefined
The function g(x)=|x| is differentiable at x=0
True
False
undefined
If a matrix has two identical rows, its determinant is zero
True
False
undefined
If a sequence is increasing, its limit must be infinity
True
False
undefined
The harmonic mean of positive numbers is always at least as large as the arithmetic mean
True
False
undefined
0

Study Outcomes

  1. Understand Core Logic Principles -

    Grasp the foundational concepts behind mathematical reasoning questions to approach each puzzle systematically.

  2. Analyze Patterns and Relationships -

    Identify and interpret patterns in data sets to solve reasoning mathematics questions efficiently.

  3. Apply Strategic Reasoning Techniques -

    Use targeted maths logical reasoning methods to dissect complex problems without advanced formulas.

  4. Evaluate Solution Approaches -

    Compare different strategies for solving mathematical logical questions with answers to determine the most effective path.

  5. Improve Problem-Solving Speed -

    Enhance your ability to solve mathematical reasoning questions accurately under time constraints.

  6. Interpret Key Information -

    Develop skills to extract essential details from question prompts and apply them to maths logical questions.

Cheat Sheet

  1. Logical Propositions and Truth Tables -

    Building a strong foundation in propositional logic is essential for mathematical reasoning questions; practice creating truth tables for basic operators like AND, OR, and NOT. For example, verifying the statement "A AND (NOT B)" helps solidify your maths logical reasoning skills. MIT OpenCourseWare and the Stanford Logic Group offer free modules to refine these fundamentals.

  2. Pattern Recognition and Sequence Analysis -

    Pattern recognition is a cornerstone of reasoning mathematics questions - identify arithmetic sequences (e.g., 2, 5, 8, 11) and geometric sequences (e.g., 2, 6, 18, 54) to predict terms quickly. Use the mnemonic "AD + GP ×" to recall addition and multiplication patterns at a glance. Khan Academy's maths logical reasoning section provides interactive quizzes to sharpen this ability.

  3. Venn Diagrams for Set-Based Reasoning -

    Venn diagrams unlock solutions to complex maths logical questions and mathematical logical questions by visually mapping set relationships and intersections. Practice shading and computing sizes of unions or complements to strengthen your maths logical reasoning approach. Check out the University of California's online guides for structured exercises with answers.

  4. Deductive Reasoning with Syllogisms -

    Deductive reasoning shines in syllogisms: lay out premises such as "All A are B" and "All B are C" to conclude "All A are C". This clear structure boosts accuracy in mathematical logical questions with answers when applied systematically. Cambridge University Press offers scholarly examples to refine your deductive framework.

  5. Translating Word Problems into Equations -

    Translating word problems into algebraic equations streamlines reasoning mathematics questions; assign variables to unknowns and form equations step-by-step. For instance, if "twice a number plus three equals eleven", set 2x + 3 = 11 and solve x = 4. Explore MIT OpenCourseWare problem sets to practice this translation under timed conditions.

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