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General Math Knowledge Quiz

Quick, scored math knowledge quiz. Instant results and correct answers.

Editorial: Review CompletedCreated By: Doyle DunsheeUpdated Aug 23, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration featuring numbers, plus sign, protractor and quiz cards on sky blue background

This general math knowledge quiz helps you check core skills and spot gaps fast. Work through quick questions, see your score at the end, and review answers. If you want more practice, try our test your math for a broader review, tackle a hard math quiz with answers, or challenge yourself with a math quiz for college students.

What is the value of 7 + 6 x 2 following the order of operations?
20
26
32
19
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In Euclidean geometry, the sum of the interior angles of a triangle equals 180 degrees.
True
False
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Which fraction is equivalent to 3/4?
15/24
9/16
12/15
6/8
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The number 29 is a prime number.
True
False
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What is the perimeter of a rectangle with length 9 and width 4?
18
13
26
36
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What is the total simple interest on $200 at 5% per year for 3 years?
$20
$15
$25
$30
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The probability of rolling an even number on a fair six-sided die is 1/2.
True
False
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Solve for x: 5x - 7 = 18
x = 5
x = 4
x = 6
x = 3
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The mean of the numbers 2, 4, 6, 8, 10 is 6.
True
False
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Which is the greatest common divisor (GCD) of 24 and 36?
6
12
18
24
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Which of the following is the slope of the line 2y - 6x = 8?
-3
6
3
0
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The derivative of sin x is -cos x.
True
False
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Solve the system: x + y = 7 and x - y = 1
x = 4, y = 3
x = 7, y = 1
x = 1, y = 7
x = 3, y = 4
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In number theory, a perfect number equals the sum of its proper divisors.
True
False
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What is the determinant of the matrix [[2, 3],[1, 4]]?
7
5
-7
8
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What is the remainder when 1001 is divided by 7?
1
0
5
3
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The series sum from n=1 to infinity of 1/n diverges.
True
False
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Which matrix is the identity matrix of order 3?
A 3x3 matrix of all ones
A 3x3 matrix with 1s on the diagonal and 0s elsewhere
A 3x3 matrix of all zeros
A 3x3 matrix with 0s on the diagonal and 1s elsewhere
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The derivative of e^x is e^x.
True
False
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What is Euler's formula relating complex exponentials and trigonometry?
e^{iθ} = cosθ + i sinθ
e^{iθ} = cosθ + i sinθ
e^{iθ} = secθ + i cscθ
e^{iθ} = tanθ + i cotθ
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0

Study Outcomes

  1. Analyze arithmetic proficiency -

    Measure your speed and accuracy with addition, subtraction, multiplication, and division through targeted general math questions.

  2. Apply algebraic techniques -

    Solve equation-based challenges that strengthen your skills in manipulating expressions and understanding variables.

  3. Evaluate geometry skills -

    Tackle questions on shapes, angles, and spatial reasoning to assess your understanding of fundamental geometry concepts.

  4. Identify knowledge gaps -

    Pinpoint specific areas for improvement by reviewing your performance on a range of maths basic questions.

  5. Boost math confidence -

    Track your score in this math general knowledge quiz to build assurance in solving both basic and advanced problems.

Cheat Sheet

  1. Order of Operations (PEMDAS/BODMAS) -

    Mastering the sequence Parentheses, Exponents, Multiplication/Division, Addition/Subtraction is essential for solving maths general questions correctly, as outlined by Khan Academy. For instance, in 3 + 4 × (2^3) you calculate 2^3=8 then 4×8=32 before adding 3, giving 35. A simple mnemonic like "Please Excuse My Dear Aunt Sally" helps you recall the order under timed quiz conditions.

  2. Prime Factorization and LCM/GCF -

    Every integer factors uniquely into primes, a principle from the Fundamental Theorem of Arithmetic featured in MIT OpenCourseWare. For example, 60=2^2×3×5 helps you compute the greatest common factor (GCF) or least common multiple (LCM) of two numbers quickly. Using factor trees in maths basic questions can make finding GCF and LCM a breeze in any quiz setting.

  3. Solving Quadratics with the Quadratic Formula -

    The quadratic formula x = ( - b ± √(b² - 4ac)) / (2a) is a powerhouse tool for ax²+bx+c=0 problems, as detailed by Wolfram MathWorld. Practising sample equations like x² - 5x+6=0 yields roots x=2 and x=3, boosting your confidence on your math general knowledge quiz. Try the "negative b, plus or minus the square root…" song to memorize the steps - perfect for quick recall under pressure.

  4. Triangle Angle Sum and Pythagorean Theorem -

    Triangle basics are cornerstone concepts in general math questions: the angles always sum to 180°, and in right triangles a² + b² = c² by the Pythagorean theorem from Euclid's Elements. For example, a 3-4-5 triangle satisfies 3² + 4² = 5², making it a handy reference in geometry rounds. Remember the phrase "All Triangles End in Half-Circle?" to recall angle properties and right-angle shortcuts.

  5. Converting Percentages, Fractions, and Ratios -

    Fluency in transitioning between percentages, fractions, and ratios is vital for basic math questions, endorsed by the National Council of Teachers of Mathematics. For instance, 25% translates to 1/4 and a 3:5 ratio equals 60% when scaled to 100, which you'll see often in word problems. A quick trick is to treat "percent" as "out of 100," multiplying or dividing to switch forms instantly under timed quiz conditions.

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