Math Quiz: 30 Questions to Sharpen Your Number Skills

Math is everywhere, from splitting a restaurant bill to calculating a sale price or measuring a room. This 30-question quiz warms up your brain with arithmetic and algebra, then moves into geometry and logic puzzles that test how you think. Every answer includes a clear, step-by-step explanation, so you can follow along and learn the method behind each solution.

No calculator needed for most of these. Work through them carefully, tally your score, and check the scoring guide at the end to see how your number skills measure up.

Arithmetic & Algebra

Q1: What is 12 × 8?
A) 86   B) 96   C) 106   D) 84
Answer: B) 96. Multiplying 12 by 8 gives 96.

Q2: What is 15% of 200?
A) 25   B) 30   C) 35   D) 40
Answer: B) 30. To find 15%, multiply 200 by 0.15, which equals 30.

Q3: If x + 7 = 15, what is the value of x?
A) 7   B) 8   C) 9   D) 22
Answer: B) 8. Subtract 7 from both sides: x = 15 - 7 = 8.

Q4: What is the square root of 144?
A) 10   B) 11   C) 12   D) 14
Answer: C) 12. Since 12 × 12 = 144, the square root of 144 is 12.

Q5: What is 7 × 7 + 1?
A) 48   B) 49   C) 50   D) 56
Answer: C) 50. First multiply: 7 × 7 = 49, then add 1 to get 50.

Q6: If a train travels at 60 km/h for 3 hours, how far does it go?
A) 120 km   B) 150 km   C) 180 km   D) 200 km
Answer: C) 180 km. Distance equals speed times time: 60 × 3 = 180 kilometers.

Q7: What is 1,000 ÷ 25?
A) 20   B) 30   C) 40   D) 50
Answer: C) 40. Since 25 × 40 = 1,000, the division gives 40.

Q8: If 2x = 20, what is the value of x?
A) 5   B) 8   C) 10   D) 18
Answer: C) 10. Divide both sides by 2: x = 20 ÷ 2 = 10.

Q9: What is 3² + 4²?
A) 12   B) 25   C) 49   D) 14
Answer: B) 25. Calculate the squares: 3² = 9 and 4² = 16, then 9 + 16 = 25.

Q10: A pizza is cut into 8 slices. If you eat 3, what fraction remains?
A) 3/8   B) 5/8   C) 1/2   D) 6/8
Answer: B) 5/8. If 3 of 8 slices are eaten, 5 slices remain, giving 5/8.

Q11: What is the next prime number after 7?
A) 9   B) 11   C) 13   D) 10
Answer: B) 11. Prime numbers have only two factors, 1 and themselves. After 7 comes 11.

Q12: A shirt costs $40 and is 25% off. What is the sale price?
A) $25   B) $30   C) $35   D) $32
Answer: B) $30. The discount is 25% of $40, or $10, so the sale price is $40 - $10 = $30.

Q13: What is 56 ÷ 7?
A) 6   B) 7   C) 8   D) 9
Answer: C) 8. Since 7 × 8 = 56, the answer is 8.

Q14: Solve for x: x/4 = 6.
A) 12   B) 20   C) 24   D) 28
Answer: C) 24. Multiply both sides by 4: x = 6 × 4 = 24.

Q15: What is the value of 5! (5 factorial)?
A) 25   B) 60   C) 100   D) 120
Answer: D) 120. Factorial multiplies all whole numbers down to 1: 5 × 4 × 3 × 2 × 1 = 120.

Geometry & Logic Puzzles

Q16: How many sides does a hexagon have?
A) 5   B) 6   C) 7   D) 8
Answer: B) 6. A hexagon is a six-sided polygon; its name comes from the Greek "hex," meaning six.

Q17: What is the sum of the interior angles of a triangle?
A) 90°   B) 180°   C) 270°   D) 360°
Answer: B) 180°. The three interior angles of any triangle always add up to 180 degrees.

Q18: What is the perimeter of a square with side length 5 cm?
A) 10 cm   B) 15 cm   C) 20 cm   D) 25 cm
Answer: C) 20 cm. A square has four equal sides, so the perimeter is 4 × 5 = 20 cm.

Q19: What is the area of a rectangle that is 6 cm by 4 cm?
A) 20 cm²   B) 24 cm²   C) 28 cm²   D) 30 cm²
Answer: B) 24 cm². Area equals length times width: 6 × 4 = 24 square centimeters.

Q20: How many degrees are in a right angle?
A) 45°   B) 90°   C) 120°   D) 180°
Answer: B) 90°. A right angle measures exactly 90 degrees.

Q21: At 6:00, what is the angle between the hour and minute hands of a clock?
A) 90°   B) 120°   C) 180°   D) 360°
Answer: C) 180°. At 6:00 the hands point in opposite directions, forming a straight line of 180 degrees.

Q22: What is the next number in the sequence: 2, 4, 8, 16, ...?
A) 20   B) 24   C) 28   D) 32
Answer: D) 32. Each term doubles the previous one, so 16 × 2 = 32.

Q23: If you have 3 pairs of socks, how many individual socks do you have?
A) 3   B) 5   C) 6   D) 9
Answer: C) 6. Each pair has 2 socks, so 3 × 2 = 6 socks.

Q24: What is the formula for the circumference of a circle?
A) πr²   B) 2πr   C) 2r   D) πd/2
Answer: B) 2πr. The circumference equals 2 times pi times the radius, where r is the radius.

Q25: How many faces does a cube have?
A) 4   B) 6   C) 8   D) 12
Answer: B) 6. A cube has six square faces, along with 12 edges and 8 vertices.

Q26: What is 2 to the power of 5 (2⁹)?
A) 16   B) 24   C) 32   D) 64
Answer: C) 32. Multiply 2 by itself five times: 2 × 2 × 2 × 2 × 2 = 32.

Q27: A triangle has sides of 3, 4, and 5. What type of triangle is it?
A) Equilateral   B) Isosceles   C) Right triangle   D) Obtuse triangle
Answer: C) Right triangle. It satisfies the Pythagorean theorem: 3² + 4² = 9 + 16 = 25 = 5².

Q28: What is the average of 4, 6, and 8?
A) 5   B) 6   C) 7   D) 8
Answer: B) 6. Add the numbers (4 + 6 + 8 = 18) and divide by 3, giving 6.

Q29: A book has 300 pages. If you read 25 pages a day, how many days will it take to finish?
A) 10 days   B) 12 days   C) 15 days   D) 20 days
Answer: B) 12 days. Divide the total pages by pages per day: 300 ÷ 25 = 12 days.

Q30: What is the value of pi (π) to two decimal places?
A) 3.14   B) 3.16   C) 3.12   D) 3.18
Answer: A) 3.14. Pi, the ratio of a circle's circumference to its diameter, rounds to 3.14.

How Did You Score?

Count your correct answers and see how your number skills stack up.

27-30 correct: Math whiz. Your arithmetic, algebra, and logic are razor sharp.
21-26 correct: Strong calculator. You handle most problems with confidence.
15-20 correct: Good foundation. A little practice will sharpen your speed and accuracy.
Below 15: The numbers are on your side. Review the step-by-step answers and try again.

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