How do you calculate a percentage without a calculator?

Start from 10% by moving the decimal point one place left, then build the percentage you need. For 15% of 240, 10% is 24 and 5% is half of that, 12, so 15% is 24 + 12 = 36. For 1%, move the decimal two places: 1% of 240 is 2.4. Percentages also reverse, so 8% of 50 equals 50% of 8, which is 4.

No. A prime number must have exactly two different positive factors, 1 and itself, and the number 1 has only one factor. Mathematicians exclude 1 so that every whole number greater than 1 has a single, unique prime factorization, such as 12 = 2 × 2 × 3. The smallest prime is 2, which is also the only even prime; every other even number is divisible by 2.

How do you find the area and circumference of a circle?

Use the radius r, the distance from the center to the edge. Area is πr² and circumference is 2πr, or πd if you know the diameter. For a circle with radius 4 cm, the area is 16π ≈ 50.27 cm² and the circumference is 8π ≈ 25.13 cm. Remember that area is in square units, while circumference is a length.

How do you add fractions with different denominators?

Rewrite both fractions over a common denominator, ideally the least common multiple, then add the numerators and keep the denominator. For 1/4 + 1/6, the least common denominator is 12, so 1/4 = 3/12 and 1/6 = 2/12, giving 5/12. Simplify at the end if the numerator and denominator share a factor, for example 6/8 becomes 3/4.

How can I get better at mental maths?

Practise short, frequent sets of questions and learn number facts by heart, especially the times tables up to 12 × 12. Break awkward sums into friendly parts: 47 + 38 is 47 + 40 − 2 = 85, and 25 × 16 is 100 × 4 = 400. Checking your answer by estimating first, such as 50 + 40 ≈ 90, quickly catches mistakes on timed quizzes.

Maths Questions And Answers Quiz Practice Test 2026

Free Maths Questions And Answers practice test with questions and answer explanations. Prepare for the 2026 exam with instant scoring.

MathOct 22, 20262 min read

$Math Questions & Answers$ Test your mathematics skills with our Free Math Questions and Answers ! all question and answers are completely for free and it's easy to practice those question. Our selection of Maths Questions and Quizzes have some easy & hard brain teasers and calculations! Anyone can practice our readymade Questions and Answers Maths Quiz with rounds ideal for college practice, university skills or also a local fun quiz. There are fun multiplication, timetables, subtraction, addition, division and sums for teams of friends and family to solve. It's that easy. Just simply click on one of the mathematics quizzes and question rounds to begin:

Math Questions Calculator Permitted Exam 1 Practice with the free Math practice test on PracticeTestGeeks (13 questions with answer explanations).

Math Questions Calculator Permitted Exam 2

Math Questions Calculator Not Permitted Exam 3

Math Writing Questions Test 1

Math Writing Questions Test 2

Math Reading Questions Test 1

Math Reading Questions Test 2

Questions and Answers Math Quiz

Have a go at our online Maths quizzes and see how much you can remember (good for brain practicing). These Maths quizzes are very entertaining and fun; they will certainly cause your brain work hard! Try to answer the Maths questions without using a calculator!; it will take a little time to answer some of the brain teasers but the maths questions will definitely keep you entertained!

Mathematical Quiz Questions and Answers

There's a variety of Mathematical questions and answers which are all printable for free and include different subjects related to math such as percentages, angles, sums, times tables, addition, division, and multiplication.

Free Math Study Tools

Interactive Math resources on PracticeTestGeeks, free to start:

Test Math Quiz — 13 questions with instant scoring and answer explanations
Math flashcards — review key terms and concepts card by card
Math study guide — topic-by-topic overview of what the exam covers
Math cheat sheet — one-page printable summary for last-minute review

Sample Math Practice Questions

Try these questions from our free Math practice tests. The correct answer and an explanation follow each question.

A runner completes a race in t minutes. A second runner finishes 8 minutes faster. Which expression gives the second runner's time?
- A. t - 8
- B. t + 8
- C. 8t
- D. t/8
Answer: A. t - 8
'Faster' means less time, so the second runner's time is t - 8.
Which measure of central tendency is most affected by an extreme outlier?
- A. Mean
- B. Median
- C. Mode
- D. Range
Answer: A. Mean
The mean is calculated using all values, so a very large or small outlier shifts it significantly.
Which number is a perfect square?
- A. 50
- B. 72
- C. 81
- D. 90
Answer: C. 81
81 = 9², so it is a perfect square; the others have no integer square roots.
Which sampling method divides the population into groups and randomly selects entire groups?
- A. Stratified sampling
- B. Systematic sampling
- C. Cluster sampling
- D. Simple random sampling
Answer: C. Cluster sampling
Cluster sampling divides the population into groups (clusters) and randomly selects entire clusters to survey.

Take the full Math practice test

🔢

🔢 What is the order of operations in math (PEMDAS)?

Work Parentheses first, then Exponents, then Multiplication and Division from left to right, then Addition and Subtraction from left to right. For example, 8 − 2 × 3 = 8 − 6 = 2, not 18.

START MATH PRACTICE TEST

📐

📐 What do the angles in a triangle add up to?

The interior angles of any triangle always add up to 180°. A quadrilateral's angles total 360°, and any polygon with n sides has an angle sum of (n − 2) × 180°.

START MATH PRACTICE TEST

💯

💯 How do you work out a percentage of a number?

Turn the percentage into a decimal and multiply. For example, 15% of 80 = 0.15 × 80 = 12. A quick check: 10% of 80 is 8 and 5% is 4, so 15% is 8 + 4 = 12.

START MATH PRACTICE TEST

➗

➗ How do you divide fractions?

Keep the first fraction, flip the second (use its reciprocal) and multiply. For example, 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4, which simplifies to 3/2 or 1.5.

START MATH PRACTICE TEST

⭕

⭕ What is the formula for the area of a circle?

Area = πr², where r is the radius. A circle with radius 5 cm has an area of 25π ≈ 78.54 cm². Its circumference is 2πr ≈ 31.42 cm.

START MATH PRACTICE TEST

📏

📏 What is the Pythagorean theorem?

In a right triangle, a² + b² = c², where c is the hypotenuse (the side opposite the right angle). With legs 3 and 4, the hypotenuse is √(9 + 16) = √25 = 5.

START MATH PRACTICE TEST

🔟

🔟 What is a prime number, and is 1 prime?

A prime number has exactly two different positive factors: 1 and itself. The number 1 is not prime because it has only one factor, and 2 is the only even prime. The primes below 20 are 2, 3, 5, 7, 11, 13, 17 and 19.

START MATH PRACTICE TEST

📊

📊 What is the difference between mean, median and mode?

The mean is the sum divided by the count, the median is the middle value in order, and the mode is the most frequent value. For 2, 3, 3, 6, 11 the mean is 25 ÷ 5 = 5, while the median and mode are both 3.

START MATH PRACTICE TEST

✖️

✖️ What is the trick for the 9 times table?

For 9 × 1 up to 9 × 10, the digits of the answer always add up to 9, and the tens digit is one less than the number you multiply by. So 9 × 7 = 63: the tens digit is 6 and 6 + 3 = 9.

START MATH PRACTICE TEST

📈

📈 How do you find the slope of a line from two points?

Slope m = (y₂ − y₁) ÷ (x₂ − x₁), the change in y over the change in x. Through (1, 2) and (3, 8), m = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3, so y rises 3 for every 1 step in x.

START MATH PRACTICE TEST

Maths Questions and Answers: FAQ

Official Resources

National Council of Teachers of Mathematics (NCTM) is the professional association for mathematics teachers and publishes standards guidance and classroom resources.
Common Core State Standards: Mathematics lists the grade-by-grade math skills students are expected to learn from kindergarten through high school.
NAEP Mathematics (The Nation's Report Card) from the National Center for Education Statistics reports U.S. student math achievement and offers released assessment questions.

How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. We have not yet matched this exam's facts to an official source, so confirm fees, dates and rules with the exam body. Not reviewed by a subject-matter expert. Editorial policy