Math Quiz: 25 Questions to Test Your Skills (2026)
Maths is the ultimate quiz leveller: there is exactly one right answer, and no amount of arguing changes it. This mixed round covers arithmetic, fractions, percentages, algebra, and geometry, the topics that show up most often in school tests and pub quizzes alike.
Here are 25 math quiz questions with answers and explanations. Most can be solved in your head, so grab a pen only if you want to, and see how many you can get right.
Round 1: Arithmetic & Number Sense
Q1. What is 15% of 200?
โ Answer: 30
๐ก 10% of 200 is 20 and 5% is 10, so 15% is 20 + 10 = 30.
Q2. What is 7 x 8?
โ Answer: 56
๐ก A classic times-table fact: seven eights are 56.
Q3. What is the square root of 144?
โ Answer: 12
๐ก 12 x 12 = 144, so the square root of 144 is 12.
Q4. What is 3/4 written as a decimal?
โ Answer: 0.75
๐ก 3 divided by 4 equals 0.75, which is also 75%.
Q5. What is the next number in the sequence 2, 4, 8, 16, ...?
โ Answer: 32
๐ก Each term doubles the previous one, so 16 x 2 = 32.
Q6. What is a prime number?
โ Answer: A number greater than 1 divisible only by 1 and itself
๐ก Examples include 2, 3, 5, 7, and 11. The number 2 is the only even prime.
Q7. What is 9 squared?
โ Answer: 81
๐ก 9 squared means 9 x 9, which equals 81.
Q8. What is 100 divided by 4?
โ Answer: 25
๐ก 100 shared into 4 equal parts gives 25 each.
Q9. Which number is neither prime nor composite?
โ Answer: 1
๐ก The number 1 has only one factor (itself), so it is defined as neither prime nor composite.
To find 15% of a number, take 10% (move the decimal one place left), then add half of that. It works instantly for tips and discounts.
Round 2: Algebra & Geometry
Q1. Solve for x: x + 5 = 12
โ Answer: x = 7
๐ก Subtract 5 from both sides: 12 - 5 = 7.
Q2. What is the sum of the interior angles of a triangle?
โ Answer: 180 degrees
๐ก The three interior angles of any triangle always add up to 180 degrees.
Q3. What is the value of pi to two decimal places?
โ Answer: 3.14
๐ก Pi is the ratio of a circle's circumference to its diameter, approximately 3.14159.
Q4. How many sides does a hexagon have?
โ Answer: 6
๐ก A hexagon has six sides. A pentagon has 5 and an octagon has 8.
Q5. What is the formula for the area of a rectangle?
โ Answer: Length x Width
๐ก Multiply the length by the width to get the area, measured in square units.
Q6. In a right-angled triangle, which theorem relates the three sides?
โ Answer: The Pythagorean theorem (a squared + b squared = c squared)
๐ก The square of the hypotenuse equals the sum of the squares of the other two sides.
Q7. What is 2 to the power of 5?
โ Answer: 32
๐ก 2 x 2 x 2 x 2 x 2 = 32.
Q8. What is the formula for the area of a circle?
โ Answer: Pi x radius squared
๐ก Area = pi x r squared. For a circle of radius 3, the area is about 28.27 square units.
Round 3: Ratios, Stats & Fun Facts
Q1. What is the average (mean) of 4, 8, and 12?
โ Answer: 8
๐ก Add them (4 + 8 + 12 = 24) and divide by how many there are (3): 24 / 3 = 8.
Q2. What does the word "percent" literally mean?
โ Answer: Per hundred
๐ก "Per cent" comes from Latin, so 25% simply means 25 out of every 100.
Q3. What is 1/2 + 1/4?
โ Answer: 3/4
๐ก Convert to a common denominator: 2/4 + 1/4 = 3/4.
Q4. How many degrees are there in a full circle?
โ Answer: 360 degrees
๐ก A complete turn around a point measures 360 degrees; a half turn is 180.
Q5. What is the value of 5 factorial (5!)?
โ Answer: 120
๐ก 5! = 5 x 4 x 3 x 2 x 1 = 120.
Q6. What is the Roman numeral for 50?
โ Answer: L
๐ก In Roman numerals, I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000.
Q7. What is the smallest prime number?
โ Answer: 2
๐ก 2 is the smallest prime and the only even one, since every other even number is divisible by 2.
Q8. What is 0.5 as a fraction in its simplest form?
โ Answer: 1/2
๐ก 0.5 means five tenths (5/10), which simplifies to 1/2.
Order of operations matters. Remember BODMAS/PEMDAS: brackets, orders (powers), division and multiplication, then addition and subtraction, left to right.
Frequently Asked Questions
Are these math questions suitable for students?
Yes. They cover core school topics, arithmetic, fractions, percentages, basic algebra, and geometry, making them ideal for revision and classroom quizzes for roughly ages 11 and up.
Do I need a calculator?
No. Almost every question here is designed to be solved mentally or with quick pen-and-paper working, which is the best way to sharpen your number sense.
How can I get faster at mental maths?
Practise a little every day and learn a few shortcuts, such as breaking percentages into 10% chunks and using times-table patterns. Our mental maths tricks guide covers more techniques.
๐Related Articles
Every answer has been checked for mathematical accuracy.