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Test Your Math: Mixed Questions to Check Your Skills

Quick, free online math test. Instant results and helpful feedback.

Editorial: Review CompletedCreated By: Stephanie StephensUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art numbers shapes geometric figures on dark blue background hinting fun arithmetic algebra geometry quiz challenge

This math quiz helps you check your skills in arithmetic, algebra, and geometry. Solve quick problems and word questions, get instant results, and spot gaps to focus your study. For more practice, try our general math knowledge quiz, build speed with a math calculation test, or challenge yourself with a hard math quiz with answers.

What is 7 + 8?
14
15
16
13
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Evaluate 5 x 6.
11
56
30
25
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Which fraction is equivalent to 3/4?
12/20
15/12
9/16
6/8
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The sum of two odd integers is even.
True
False
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What is 12 - 19?
-7
31
7
-31
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Solve 2x - 5 = 9.
x = -7
x = 5
x = 7
x = 2
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Which point lies on the line y = 2x + 1?
(2, 2)
(1, 3)
(0, 0)
(3, 5)
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The slope of the line through (1, 4) and (3, 10) is 3.
False
True
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What is the perimeter of a square with side length 9?
18
27
36
81
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Compute 3/5 of 40.
30
22
20
24
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Solve the system: x + y = 7 and x - y = 1.
(2, 5)
(5, 2)
(3, 4)
(4, 3)
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Factor completely: x^2 - 9x + 20.
(x - 2)(x - 10)
(x + 4)(x + 5)
(x - 1)(x - 20)
(x - 4)(x - 5)
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Which is the equation of the perpendicular line to y = -1/2 x + 3 through (0, 1)?
y = 2x - 1
y = 2x + 1
y = -2x + 1
y = -1/2 x + 1
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The distance between points (2, -1) and (8, 3) is 4.
False
True
undefined
Solve for x: 3^(x) = 27.
x = 3
x = 9
x = 2
x = 1/3
undefined
Solve x^2 - 6x + 5 = 0.
x = 3 or x = -3
x = 6 or x = -5
x = 1 or x = 5
x = -1 or x = -5
undefined
Find the midpoint between (-2, 7) and (4, -1).
(3, 2)
(2, 3)
(1, 3)
(1, 2)
undefined
The function g(x) = 2(x - 3)^2 + 5 has vertex at (3, 5).
False
True
undefined
Evaluate log_2(32).
3
5
6
4
undefined
A regular polygon with each interior angle 150 degrees has 12 sides.
False
True
undefined
0

Study Outcomes

  1. Understand Core Arithmetic Operations -

    After completing the arithmetic test section, you'll be able to perform addition, subtraction, multiplication, and division with confidence and speed.

  2. Apply Algebraic Techniques -

    Gain the ability to solve for variables, manipulate expressions, and tackle equations commonly featured in our online math quiz format.

  3. Solve Geometry Challenges -

    Develop skills to calculate perimeters, areas, and angles, and interpret spatial relationships in geometry problems.

  4. Analyze Timed Problem-Solving Performance -

    Learn to manage time effectively in a fast-paced math trivia quiz by identifying which question types slow you down and refining your approach.

  5. Evaluate Your Math Skills Assessment Results -

    Interpret your score breakdown to pinpoint strengths and weaknesses, and set targeted goals for improvement.

  6. Strengthen Overall Problem-Solving Strategies -

    Adopt efficient techniques and tips to enhance accuracy and speed across all sections of the mathematics online test.

Cheat Sheet

  1. Master PEMDAS for Order of Operations -

    Remember the PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to tackle any arithmetic challenge swiftly. For example, 3 + 4 × 2 evaluates as 3 + (4 × 2) = 11, not (3 + 4) × 2. Practicing with resources from Khan Academy can help you ace this section of the mathematics online test.

  2. Linear Equations and Variable Isolation -

    Brush up on solving equations in the form ax + b = c by isolating x with inverse operations; for instance, 3x + 5 = 14 leads to x = 3 after subtracting 5 and dividing by 3. This fundamental skill appears frequently in online math quizzes. MIT OpenCourseWare offers clear examples to reinforce your approach.

  3. Quadratic Formula & Discriminant -

    Memorize x = [ - b ± √(b² - 4ac)]❄(2a) and understand the discriminant (b² - 4ac) to predict the nature of roots before you plug in values. A handy mnemonic is "negative b, plus or minus, root, over two a" to recall the sequence quickly. Purplemath and university algebra texts offer practice problems that build confidence for your math skills assessment.

  4. Geometry Basics: Triangles & Pythagorean Theorem -

    Review that in right triangles, a² + b² = c², where c is the hypotenuse - so a 3-4-5 triangle satisfies 3² + 4² = 5². Sharpen your angle-sum skills (sum of angles = 180°) and practice drawing diagrams for geometry questions. Wolfram MathWorld provides clear visual explanations to help you breeze through geometry items on the math trivia quiz.

  5. Number Sense & Divisibility Rules -

    Quickly test divisibility by 3 and 9 via the sum-of-digits trick, and use the alternating sum rule for 11 to simplify arithmetic problems on the fly. Strong number sense allows you to estimate and verify answers swiftly during timed assessments like our online math quiz. Resources from the Art of Problem Solving can refine these mental math shortcuts.

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