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Quizzes > Mathematics > Basic Math & Arithmetic

Math Calculation Quiz: Can You Solve Every Problem?

Ready to Tackle Basic Arithmetic Problems? Dive into Our Calculation Quiz

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper cut shapes of numbers symbols and math tools arranged for a free calculation quiz on a sky blue background

Love numbers and ready to conquer calculation problems? Our free calculation quiz invites you to tackle basic arithmetic problems and tricky math calculation questions that challenge your speed and accuracy. In this engaging arithmetic quiz , you'll strengthen addition, subtraction, multiplication, and division skills, pick up clever tips for quick mental math, and gain confidence with every correct answer. Pair it with targeted mental math practice to elevate your game. Whether you're prepping for exams or seeking a quick brain-teaser, this calculation quiz is just what you need. You'll walk away knowing your strengths and areas to build. Ready to begin? Take the challenge and master math today!

What is 15 + 27?
42
41
43
40
Adding two numbers combines their values. When you add 15 and 27, you align the tens and units and sum each column. The result of 15 + 27 is 42. More on addition here.
What is 8 × 7?
54
56
48
64
Multiplication is repeated addition. Multiplying 8 by 7 means adding 8 seven times. The product of 8 and 7 equals 56. Learn more about multiplication here.
What is 45 - 19?
25
26
27
24
Subtraction finds the difference between numbers. Subtracting 19 from 45 leaves 26 because 45 minus 20 is 25, then add back 1. The result is 26. More on subtraction here.
What is 56 ÷ 8?
6
7
8
9
Division splits a number into equal parts. Dividing 56 by 8 asks how many groups of 8 make 56. There are 7 such groups. Learn more about division here.
Calculate 12 × 11 ? 23.
109
111
108
110
By the order of operations, perform multiplication before subtraction. First multiply 12 by 11 to get 132. Then subtract 23 to reach 109. Learn more about the order of operations here.
What is 3/4 + 5/8?
11/8
1.25
13/8
1.5
To add fractions, first find a common denominator. 3/4 becomes 6/8, so 6/8 + 5/8 equals 11/8. As an improper fraction, it represents 1.375. More on adding fractions here.
A store reduces a $120 item by 15%. What is the sale price?
$102
$105
$100
$108
A 15% reduction means you pay 85% of the original price. 85% of $120 equals 0.85 × 120, which is $102. This is the sale price after the discount. More on percentage calculations here.
Evaluate 9 + (6 × 3) ÷ 2.
18
15
21
12
According to PEMDAS, do multiplication and division before addition. Inside the parentheses 6 × 3 equals 18, then divide by 2 to get 9, and finally add 9 to reach 18. More on operation order here.
What is the value of 2^5 + 3^3?
59
60
55
61
Calculate exponents separately: 2^5 is 32 and 3^3 is 27. Summing them gives 32 + 27, which equals 59. Exponent rules let you compute each power individually. Learn more about exponents here.
Simplify (7/9) ÷ (14/27).
3/2
1.5
27/14
2
Dividing by a fraction is the same as multiplying by its reciprocal. (7/9) ÷ (14/27) equals (7/9) × (27/14). After cancellation, this simplifies to 3/2. More on dividing fractions here.
If x = 4, what is 5x^2 ? 3x + 2?
70
68
72
74
Substitute x = 4 into the expression. Calculate 5×(4^2) = 5×16 = 80, then subtract 3×4 = 12, giving 68, and finally add 2 for a total of 70. Learn more about evaluating expressions here.
A train travels 180 miles in 3 hours 45 minutes. What is its average speed in miles per hour?
48 mph
45 mph
50 mph
42 mph
First convert 3 hours 45 minutes to decimal hours: 3.75 hours. Divide distance by time: 180 ÷ 3.75 = 48 mph. This gives the average speed. More on speed calculations here.
A quantity increases by 20% and then decreases by 20%. What is the net percentage change?
?4%
?2%
0%
+4%
After a 20% increase, the factor is 1.2. Then a 20% decrease uses factor 0.8. Multiply: 1.2 × 0.8 = 0.96, which is a 4% net decrease. Percentage changes multiply, not add. Learn more about successive percentage changes here.
What is the sum of the infinite geometric series 8 + 4 + 2 + … ?
16
14
12
10
An infinite geometric series with first term a and ratio r (|r|<1) sums to a/(1?r). Here a=8 and r=0.5. So the sum is 8/(1?0.5) = 16. More on geometric series here.
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Study Outcomes

  1. Solve Basic Arithmetic Problems -

    Use mental math methods to compute sums, differences, products, and quotients quickly and accurately when facing basic arithmetic problems.

  2. Analyze Multi-Step Calculation Problems -

    Break down complex calculation problems into smaller, manageable steps to streamline your approach and reduce errors.

  3. Strengthen Mental Math Skills -

    Apply proven strategies for mental math practice that boost both speed and confidence in solving math calculation questions.

  4. Identify Common Arithmetic Errors -

    Recognize frequent mistakes in basic arithmetic and calculation problems to improve accuracy and avoid pitfalls.

  5. Evaluate Your Performance -

    Gauge your current proficiency through our calculation quiz and track your progress with timed challenges.

  6. Develop Problem-Solving Strategies -

    Employ step-by-step techniques to tackle both simple and advanced math calculation questions more effectively.

Cheat Sheet

  1. Mastering Order of Operations -

    When solving calculation problems, remember PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) as highlighted by Khan Academy. Use the mnemonic "Please Excuse My Dear Aunt Sally" to ensure you tackle each step correctly, for example 3 + 4 × 2 = 3 + 8 = 11. This foundation prevents errors when juggling multiple operations.

  2. Chunking for Mental Math Practice -

    Break numbers into friendly chunks to simplify basic arithmetic problems; for instance, compute 47 + 38 by adding 30 then 8 to get 47 + 30 = 77, then 77 + 8 = 85 as recommended by the National Council of Teachers of Mathematics. Regular mental math practice sharpens calculation speed without paper or calculator. Over time, this strategy makes complex addition and subtraction feel effortless.

  3. Leveraging the Distributive Property -

    Use the distributive property a(b + c) = ab + ac to streamline multiplication in your next calculation quiz; for example, 12 × 15 = 12 × (10 + 5) = 120 + 60 = 180, a trick endorsed by MIT OpenCourseWare. This approach reduces large multiplications into simpler chunks and boosts confidence during timed tests. It's especially handy for mental math practice on the go.

  4. Converting Fractions to Decimals -

    Transform fractions into decimals by expanding to denominators of 10 or by performing long division, such as converting 3/8 to 0.375 (3 ÷ 8) per guidelines from the Mathematical Association. Familiarity with these conversions is crucial for mixing fractions, percentages, and decimals in calculation problems. A solid grasp here turns tricky fraction questions into quick wins.

  5. Estimation and Rounding Techniques -

    Practice rounding numbers to the nearest ten or hundred to make rapid approximations, like 198 + 347 ≈ 200 + 350 = 550, as recommended by research from the National Institute of Education. Estimation provides a reality check for your detailed work, helping you spot mistakes in a math calculation questions section. It's an essential skill for any mental math prodigy aiming for accuracy under pressure.

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