Feeling confident with numbers or craving a fun challenge? Our free mathematics online test is crafted to put your problem-solving skills to the ultimate trial - covering arithmetic, algebra, geometry and beyond. You'll tackle an engaging online math quiz that doubles as a thorough math skills assessment, revealing your strengths and spotlighting areas to sharpen. From quick arithmetic test puzzles to surprising math trivia quiz questions, this experience is designed for students, teachers and lifelong learners seeking a brain-boosting break. Ready to see your score light up the leaderboard? Take the challenge now and prove you're a true math master! You'll get instant feedback and can share your results to challenge friends and keep the momentum going.
What is 15% of 200?
20
25
30
35
To find 15% of 200, convert 15% to a decimal (0.15) and multiply by 200 to get 30. Percent means per hundred, so 15 out of 100 is 0.15. Multiplying gives the actual portion of the whole number. For more details see Percentages explained.
Solve for x: 2x + 5 = 13.
3
4
5
8
Subtracting 5 from both sides gives 2x = 8. Dividing both sides by 2 yields x = 4. This is a basic one-step linear equation. For more examples see Linear equations practice.
What is the perimeter of a rectangle with length 8 and width 3?
11
18
22
24
The perimeter of a rectangle is 2 times the sum of its length and width: 2*(8+3)=22. You add all four sides or use the formula for speed. This is a straightforward geometry concept. See Rectangle facts for more.
What is the value of 7 9?
49
54
63
72
Multiplication of single-digit numbers follows the times table where 7 times 9 equals 63. Practicing tables solidifies arithmetic skills. This is basic multiplication. For drills see Multiplication tables guide.
Convert the fraction 3/4 to a decimal.
0.6
0.75
0.8
0.85
To convert a fraction to a decimal, divide the numerator by the denominator: 3 4 = 0.75. This shows the decimal equivalent. Practice with other fractions to master. See Fractions explained.
What is the square root of 49?
6
7
8
9
The square root of a number is a value that, when multiplied by itself, gives the original number. Since 7 7 = 49, the square root is 7. Square roots undo squares. More on roots at Square roots.
If you divide 56 by 7, what do you get?
6
7
8
9
Division distributes a number into equal parts. 56 7 equals 8 because 7 times 8 gives 56. Understanding division facts helps with more complex arithmetic. Learn more at Division basics.
Solve for x: 3(x - 2) = 12.
4
5
6
7
First expand to get 3x - 6 = 12. Then add 6 to both sides giving 3x = 18, and divide by 3 to find x = 6. This involves distribution and simple algebra. See Distributive property practice.
What is the area of a circle with radius 5? (Use ? ? 3.14)
31.4
78.5
157
25
Area of a circle is ?r. Substituting r = 5 yields ? 25 ? 3.14 25 = 78.5. This formula is fundamental for circles. More at Circle area.
Simplify: (2) (2?).
32
64
128
16
When multiplying like bases, you add exponents: 2 2? = 2^(3+4) = 2? = 128. This property of exponents simplifies many expressions. For details see Exponent rules.
Solve the equation: x = 81.
9
-9
9
81
x = 81 implies x = ?81 or x = -?81, giving x = 9. Quadratic equations of this form have two real solutions. More on square roots at Square roots.
What is the midpoint of the segment joining (2, 3) and (4, 7)?
(3, 5)
(2, 5)
(3, 7)
(4, 3)
The midpoint formula is ((x?+x?)/2, (y?+y?)/2). Here that's ((2+4)/2, (3+7)/2) = (3,5). This finds the center point of a line segment. See Midpoint concept.
If f(x) = 2x + 1, what is f(4)?
7
8
9
10
Function evaluation means substitute x = 4: f(4) = 2(4) + 1 = 8 + 1 = 9. This is fundamental for understanding functions. More examples at Function evaluation.
Solve for y: 5y/4 = 10.
4
6
8
10
Multiply both sides by 4/5: y = 10 (4/5) = 8. Rearranging fractions and solving is key. Practice fraction equations at Equation solving.
Solve the quadratic equation x - 5x + 6 = 0.
x = 2 and x = 3
x = -2 and x = -3
x = 1 and x = 6
x = -1 and x = -6
The factors of 6 that sum to 5 are 2 and 3. So (x-2)(x-3)=0 gives x=2 or x=3. Factoring quadratics is standard for these problems. See Quadratic factoring.
Find the sum of the interior angles of a hexagon.
360
540
720
900
The sum of interior angles of an n-sided polygon is (n-2)180. For n=6, (6-2)180=720. This formula works for any simple polygon. More at Polygon angles.
If an arithmetic series has first term 2 and common difference 3, what is the 10th term?
28
29
30
32
The nth term is a?+(n-1)d. Here 2+(10-1)3 = 2+27 = 29. Arithmetic sequences follow a linear pattern. See Arithmetic sequences for more.
What is the determinant of the matrix [[1, 2], [3, 4]]?
2
-2
5
-5
Determinant for a 22 matrix [a b; c d] is ad - bc. Here 14 - 23 = 4 - 6 = -2. Determinants are used in many linear algebra applications. Learn more at Matrix determinant.
Evaluate the definite integral ?? 3x dx.
4
6
8
12
The antiderivative of 3x is x. Evaluate from 0 to 2: 2 - 0 = 8. Definite integrals calculate net area. More at Definite integrals.
Compute the derivative of f(x) = x - 2x + 5.
3x + 2
3x - 2
x - 2
2x - 2
Using the power rule, d/dx[x]=3x and d/dx[-2x]= -2, constant drops out. So the derivative is 3x - 2. Derivatives measure rate of change. More at Derivative rules.
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
9
10
12
14
By the Pythagorean theorem, hypotenuse = 6 + 8 = 36 + 64 = 100, so the hypotenuse is 10. This is a classic 6-8-10 triangle. More at Pythagorean theorem.
Solve the system: 2x + 3y = 13 and x - y = 1.
(16/5, 11/5)
(11/5, 16/5)
(3, 2)
(5, 3)
From x - y = 1, x = y + 1. Substitute into 2x + 3y = 13: 2(y+1)+3y=13 gives 5y+2=13, so y=11/5 and x=16/5. Systems can be solved by substitution or elimination. More at Solving systems.
Evaluate the limit lim??0 (sin x)/x.
0
1
Undefined
?
A well-known limit in calculus is (sin x)/x ? 1 as x approaches 0. This result is fundamental for derivatives of trigonometric functions. Many proofs use series or squeeze theorem. See Limit basics.
If the eigenvalues of a 22 matrix A are 4 and 6, what is the trace of A?
2
10
24
-2
The trace of a matrix equals the sum of its eigenvalues when A is diagonalizable. Here 4 + 6 = 10. Trace also equals sum of diagonal entries. More on eigenvalues at Eigenvalues and eigenvectors.
Compute the indefinite integral ? e^(2x) dx.
(1/2)e^(2x) + C
2e^(2x) + C
e^(2x) + C
ln|2x| + C
Let u = 2x, then du = 2 dx so dx = du/2. ? e^(2x) dx = 1/2 ? e^u du = (1/2)e^u + C = (1/2)e^(2x) + C. Integration of exponential functions follows this substitution. More at Integration techniques.
0
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Study Outcomes
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.
Apply Algebraic Techniques -
Gain the ability to solve for variables, manipulate expressions, and tackle equations commonly featured in our online math quiz format.
Solve Geometry Challenges -
Develop skills to calculate perimeters, areas, and angles, and interpret spatial relationships in geometry problems.
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.
Evaluate Your Math Skills Assessment Results -
Interpret your score breakdown to pinpoint strengths and weaknesses, and set targeted goals for improvement.
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
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.
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.
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.
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.
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.
