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Quizzes > Mathematics

Math Pop Quiz: 15 Questions to Test Your Skills

Quick, free math skills quiz with instant results and helpful tips.

Editorial: Review CompletedCreated By: Asiah HasnanUpdated Aug 24, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for a free Math Pop Quiz on sky blue background

This math pop quiz helps you check basics like operations, primes, and composites in 15 quick questions. You'll get instant results with simple tips to fix mistakes and track progress. Want more practice? Try the general math knowledge quiz, a math quiz for adults, or push yourself with a hard math test.

What is 7 + 8?
13
16
14
15
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19 is a prime number.
False
True
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Which of the following is the smallest prime number?
0
2
1
3
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12 is a composite number.
False
True
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What is 9 x 6?
45
49
56
54
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Every integer greater than 1 is either prime or composite.
False
True
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Which of the following is prime?
21
27
29
33
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What is 72 ÷ 9 + 5?
13
12
11
14
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The sum of two odd primes is always even.
False
True
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Which factorization shows a composite number?
35 = 5 x 7
37 = 1 x 37
29 = 1 x 29
31 = 1 x 31
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Which of these is the prime factorization of 60?
3^2 x 5
2^3 x 5
2 x 3 x 5
2^2 x 3 x 5
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What is 7^2 - 4^2?
21
33
25
45
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There are infinitely many prime numbers.
True
False
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Which of the following numbers is not divisible by 3?
117
ninety
208
201
undefined
The number 49 is prime.
True
False
undefined
Which is the next prime after 43?
44
49
45
47
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What is 84 ÷ 7 + 3 x 5?
27
39
33
24
undefined
Every even number greater than 2 is prime.
False
True
undefined
Which statement about 97 is correct?
It is divisible by 7
It is composite
It is prime
It is divisible by 11
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If a number is divisible by both 2 and 3, it is divisible by 6.
True
False
undefined
0

Study Outcomes

  1. Identify Prime and Composite Numbers -

    Recognize and categorize numbers as prime or composite to strengthen your understanding of fundamental number properties.

  2. Apply Core Arithmetic Operations -

    Use addition, subtraction, multiplication, and division effectively to solve a variety of math pop quiz questions with confidence.

  3. Differentiate Number Types and Properties -

    Distinguish between key numeric characteristics such as factors and multiples to tackle questions on primes, composites, and more.

  4. Enhance Calculation Speed and Accuracy -

    Improve your mental math skills through timed challenges, helping you perform operations quickly and accurately.

  5. Analyze Problem-Solving Strategies -

    Evaluate different approaches to solving arithmetic problems and refine your methods for greater efficiency.

  6. Interpret Instant Feedback for Improvement -

    Use real-time quiz results and fun feedback to identify weaknesses and track your progress over multiple attempts.

Cheat Sheet

  1. Identifying Primes vs. Composites -

    Prime numbers have exactly two distinct positive divisors (1 and itself), while composites have more. For instance, 17 is prime but 18 is composite (divisible by 2, 3, 6, 9). Using the Sieve of Eratosthenes (MIT OCW) is a reliable way to list primes up to any limit.

  2. Order of Operations (PEMDAS) -

    Remember PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to solve expressions correctly. For example, in 3 + 4 × (2^2), calculate the exponent 2^2=4, then 4×4=16, and finally 3+16=19. This rule is endorsed by the National Council of Teachers of Mathematics for consistent arithmetic results.

  3. Properties of Arithmetic Operations -

    The commutative, associative, and distributive properties (per Khan Academy) simplify calculations: a+b = b+a, (a+b)+c = a+(b+c), and a(b+c) = ab + ac. For instance, 5×(2+3) = 5×2 + 5×3 = 25. Recognizing these saves time and reduces errors in complex problems.

  4. Mental Math & Number Decomposition -

    Break numbers into friendly chunks: 47+38 becomes (40+30)+(7+8) = 70+15 = 85. For multiplication, use (a+b)(c+d) expansions like 12×15 = (10+2)(10+5) = 100+50+20+10 = 180. Such strategies are recommended by the Mathematical Association of America to boost speed.

  5. Divisibility Rules for Fast Checks -

    Quick tests help spot composites: a number is divisible by 3 if its digits sum to a multiple of 3 (e.g., 123 → 1+2+3=6). For 11, subtract and add alternating digits (e.g., 2 - 5+4=1, not a multiple of 11). These rules, from Wolfram MathWorld, streamline factorization in pop quizzes.

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