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Quizzes > Mathematics

Arithmetic Problems Quiz: Practice Basic Math Skills

Quick, free simple math test with instant answers and step-by-step solutions.

Editorial: Review CompletedCreated By: Estevan MendozaUpdated Aug 26, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper cut math quiz illustration with numbers symbols on dark blue background inviting you to test basic math skills

Use this arithmetic problems quiz to sharpen basic math skills, including addition, subtraction, multiplication, division, and fractions. You get instant answers with simple steps, so you can spot gaps and improve quickly. For extra practice, try our basic math quiz, take an addition quiz, or challenge yourself with a mental arithmetic test.

What is 7 + 5?
11
10
13
12
Addition is the process of combining two numbers to get a total. When you add 7 and 5, you count how many units you have in total. This gives 12 as the sum. For more details, see .
What is the product of 6 and 4?
20
24
26
18
Multiplication represents repeated addition. Multiplying 6 by 4 is the same as adding 6 four times, which equals 24. The product of 6 and 4 is therefore 24. Read more at .
What is 15 minus 9?
5
3
7
6
Subtraction finds the difference between two numbers. Subtracting 9 from 15 gives a result of 6. This represents how many more units 15 has than 9. See .
What is 3 multiplied by 0?
Undefined
3
0
1
Any number multiplied by zero results in zero, because you have zero groups of the number. Therefore, 3 times 0 equals 0. This is a fundamental property of multiplication. More at .
What is 12 divided by 3?
2
6
4
3
Division splits a number into equal parts. Dividing 12 by 3 means splitting 12 into 3 equal groups, each containing 4. Thus, the quotient is 4. Learn more at .
What is 10% of 50?
20
15
10
5
Percent means per hundred, so 10% is 10 out of 100. To find 10% of 50, multiply 50 by 0.10 to get 5. Hence, 10% of 50 equals 5. For more, see .
Simplify the expression: 8 + (2 × 3).
14
8
10
12
According to the order of operations, you perform the multiplication inside the parentheses first, so 2 × 3 = 6, then add 8 to get 14. This ensures consistent evaluation of expressions. See .
What is the least common multiple of 4 and 6?
8
12
18
24
The least common multiple (LCM) is the smallest number that is a multiple of both 4 and 6. Multiples of 4 are 4, 8, 12... and multiples of 6 are 6, 12... so 12 is the first common one. Thus the LCM is 12. Learn more at .
Simplify the fraction 14/28.
3/4
1/2
2/3
1/4
To simplify a fraction, divide numerator and denominator by their greatest common divisor, which for 14 and 28 is 14. Dividing both yields 1/2. So 14/28 simplifies to 1/2. More details at .
Calculate 3 to the power of 3.
6
9
81
27
An exponent indicates repeated multiplication; 3 to the power of 3 means 3 × 3 × 3 = 27. This is called a cube since it's the third power. For further reading see .
What is the value of x if x + 7 = 12?
-5
19
7
5
To isolate x, subtract 7 from both sides of the equation: x = 12 ? 7 = 5. This is a basic linear equation solving step. See more at .
What is the perimeter of a rectangle with length 5 and width 3?
8
10
16
15
Perimeter of a rectangle is 2 × (length + width), so 2 × (5 + 3) = 16. This gives the total distance around the four sides. Learn more at .
Convert 0.75 to a fraction.
1/4
1/2
3/4
2/3
To convert a decimal to a fraction, write 0.75 as 75/100 and then simplify by dividing by 25, giving 3/4. So 0.75 equals 3/4 when reduced. See .
What is 25% of 200?
25
50
75
100
25% means 25 per 100 or 0.25. Multiply 200 by 0.25 to get 50. Thus, 25% of 200 equals 50. More on percentages at .
Solve for x: 2x ? 5 = 9.
-7
-2
2
7
Add 5 to both sides: 2x = 14, then divide by 2: x = 7. This is basic algebraic manipulation. For more, see .
What is the area of a triangle with base 10 and height 6?
30
48
16
60
The area of a triangle is 1/2 × base × height, so 1/2 × 10 × 6 = 30. This formula applies to any triangle. Refer to .
Calculate the slope of the line passing through (2, 3) and (5, 11).
8/3
3/8
2
4
Slope is rise over run: (11 ? 3) ÷ (5 ? 2) = 8 ÷ 3 = 8/3. This measures how steep the line is. Learn more at .
What is the square root of 144?
10
14
12
16
The square root of a number is a value that, when multiplied by itself, gives the original number. Since 12 × 12 = 144, the square root of 144 is 12. See .
Simplify the expression: 3(x + 2) ? x.
2x ? 6
2x + 6
3x + 2
4x + 2
Distribute 3: 3x + 6, then subtract x: 3x + 6 ? x = 2x + 6. This simplifies the expression. Read more at .
Solve for y: 4y ÷ 2 = 10.
2.5
20
5
10
4y ÷ 2 = 10 simplifies to 2y = 10, so y = 5. Division and solving equation steps yield y = 5. More details at .
Find the next number in the sequence: 2, 4, 8, 16, ?
18
32
20
24
This sequence doubles each term: 2×2=4, 4×2=8, 8×2=16, so next is 16×2=32. This is a geometric progression with ratio 2. Learn more at .
What is the value of 5! (5 factorial)?
60
24
720
120
n! means the product of all positive integers up to n. So 5! = 5×4×3×2×1 = 120. This is called factorial notation. See .
Solve for x: x^2 ? 5x + 6 = 0.
?2 and ?3
2 and 3
1 and 6
3 and 5
To solve a quadratic equation x^2 ? 5x + 6 = 0, factor it as (x ? 2)(x ? 3)=0 giving solutions x=2 or x=3. Quadratic factoring finds values that make either factor zero. More at .
Simplify: (2/3) + (3/4).
5/12
7/12
13/12
17/12
Add fractions by finding a common denominator: 2/3 = 8/12 and 3/4 = 9/12, so the sum is 17/12. This can also be written as a mixed number 1 5/12. See .
A circle has a circumference of 31.4. What is its radius? Use ? ? 3.14.
15
10
2.5
5
Circumference C = 2?r, so r = C/(2?) = 31.4/(2×3.14) = 31.4/6.28 = 5. This calculates radius from circumference. More at .
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Study Outcomes

  1. Understand basic arithmetic operations -

    After completing the simple mathematics test, learners will distinguish and perform addition, subtraction, multiplication, and division with accuracy.

  2. Compute fractions and decimals -

    Participants will convert between fractions and decimals and carry out calculations to solve basic mathematics questions.

  3. Solve real-world word problems -

    Users will apply arithmetic skills to interpret and solve everyday scenarios through simple math word problems.

  4. Use mental math strategies -

    Learners will practice and refine mental calculation techniques to answer math practice questions swiftly and confidently.

  5. Evaluate performance with instant feedback -

    By engaging with the online math test, users will review their answers and identify areas for improvement through immediate feedback.

  6. Gain confidence in math fundamentals -

    Through repeated practice in this easy math quiz online, students will build self-assurance in tackling basic mathematics problems.

Cheat Sheet

  1. Master PEMDAS for Order of Operations -

    Review the sequence Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction to solve expressions accurately on a simple mathematics test. Remember the mnemonic "Please Excuse My Dear Aunt Sally" to recall PEMDAS swiftly when tackling basic arithmetic questions. Consistent practice with mixed operations prevents common errors and builds confidence.

  2. Convert and Simplify Fractions -

    Practice simplifying fractions by dividing numerator and denominator by their greatest common factor, as recommended by Khan Academy. Convert improper fractions to mixed numbers (e.g., 7/4 = 1 ¾) and vice versa to handle easy math quiz online problems efficiently. Visualize fractions using pie charts or number lines to cement your understanding.

  3. Apply Mental Math Tricks -

    Use distributive property hacks - like turning 8 × 25 into (8 × 100)/4 - to speed through basic multiplication on online math tests. Leverage finger tricks for 9s multiplication or doubling and halving strategies for quick estimates, a method endorsed by math education research. These shortcuts boost your pace and accuracy on simple mathematics questions.

  4. Use a Structured Approach for Word Problems -

    Adopt the CUPS method (Circle key numbers, Underline the question, set up an equation, Solve) recommended by the National Council of Teachers of Mathematics. Defining variables clearly and drawing simple diagrams helps you translate words into math operations. This step-by-step strategy ensures you tackle basic mathematics questions with clarity and confidence.

  5. Check Answers with Inverse Operations -

    After solving, use inverse operations - add to check subtraction, multiply to verify division - to confirm your results on an online math test. Employ quick estimations or rounding to assess whether your answer is reasonable, a tip supported by educational research from university math centers. This final review step catches errors early and reinforces learning.

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