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50 free 6th Grade Math trivia questions with answers — science & nature quiz, new questions added Aug 2026.
These math trivia questions for 6th graders follow the middle-school curriculum: ratios and rates, percentages, negative numbers and absolute value, exponents and order of operations, factors, multiples, LCM and GCF, the coordinate plane, area of triangles and parallelograms, volume, and the mean, median and mode of a data set. Each question is multiple choice with a short explanation, so it works as a warm-up, a review game or a family quiz where the sixth grader finally gets to win. The difficulty is honest for the grade. Most questions can be answered by anyone who has been paying attention in class; a few near the end ask you to actually calculate something. Every answer is checked against a maths reference or encyclopaedia entry and carries a citation, so the definitions match what the textbook says.
30 of 50 questions with answers and explanations. Play the quiz
Q 01In the expression 2 + 3 × 4, which operation do you do first?
The multiplication
Multiplication ranks above addition, so the answer is 14, not 20.
Q 02What is (2 + 3) × 4?
20
The parentheses force the addition to happen first: 5 × 4 = 20.
Q 03A bowl holds 8 oranges and 6 lemons. What is the ratio of oranges to lemons in simplest form?
4:3
Divide both parts of 8:6 by 2; the ratio of oranges to all the fruit would be 8:14, or 4:7.
Q 04A statement that two ratios are equal, such as 6:8 = 3:4, is called what?
A proportion
Solving proportions is how you scale a recipe up or read a map.
Q 05The word 'percent' literally means 'by' what number?
One hundred
So 45% is the fraction 45/100, or 0.45 as a decimal.
Q 06If 50% of a class of 500 students are boys, how many boys are there?
250
50 out of every 100 means half, and half of 500 is 250.
Q 07A price of $2.50 goes up by $0.15. What percentage increase is that?
6%
Divide the change by the original price: 0.15 ÷ 2.50 = 0.06.
Q 08Which of these is an integer?
−7
Integers are whole numbers and their negatives, plus zero; fractions and decimals are not.
Q 09What is the absolute value of −3?
3
Absolute value is a number's distance from zero, so it is never negative.
Q 10In the expression 2⁵, what is the 5 called?
The exponent
The 2 is the base; the exponent tells you how many times to multiply the base by itself.
Q 11Any nonzero number raised to the power of 0 equals what?
1
It looks odd, but it keeps the pattern going: 2³ = 8, 2² = 4, 2¹ = 2, 2⁰ = 1.
Q 12Why is b² called 'b squared'?
It is the area of a square with side b
In the same way, b³ is 'b cubed' because it is the volume of a cube with side b.
Q 13What is the least common multiple of 4 and 6?
12
Multiples of 4 are 4, 8, 12, 16...; multiples of 6 are 6, 12, 18...; the earliest number on both lists is 12.
Q 14What is the greatest common factor of 8 and 12?
Q 21A triangle has a base of 10 cm and a height of 6 cm. What is its area?
30 cm²
Multiply base by height and halve it: 10 × 6 ÷ 2 = 30.
Q 22A quadrilateral with two pairs of parallel sides is called what?
A parallelogram
Its opposite sides are equal in length and its opposite angles are equal too.
Q 23In North American English, a quadrilateral with at least one pair of parallel sides is called what?
A trapezoid
The parallel sides are the bases and the other two are the legs; British books call the same shape a trapezium.
For a box shape (a rectangular prism), how do you find the volume?
4
The factors of 8 are 1, 2, 4, 8 and of 12 are 1, 2, 3, 4, 6, 12; the biggest one they share is 4.
Q 15When adding fractions, the smallest number both denominators divide into is called what?
The lowest common denominator
Rewriting 1/4 and 1/6 as 3/12 and 2/12 makes them easy to add.
Q 16Every whole number above 1 is prime or a unique product of primes. What is this fact called?
The fundamental theorem of arithmetic
It is why prime factorisation trees always end up with the same primes no matter which branch you split first.
Q 17On a coordinate plane, what are the coordinates of the origin?
(0, 0)
It is the point where the x-axis and y-axis cross.
Q 18The two axes of a coordinate plane divide it into how many quadrants?
4
They are numbered counter-clockwise, starting from the top right.
Q 19In which quadrant of a coordinate plane are both the x and y values positive?
The first
Counting goes counter-clockwise from there: the second quadrant has a negative x and positive y.
Q 20How do you find the area of a triangle?
Half of base times height
A triangle is exactly half of a four-sided shape with the same base and height.
Area of the base times the height
For a box that is 2 by 3 by 4, that is 6 × 4 = 24 cubic units.
Q 25How many edges does a rectangular box (cuboid) have?
12
It also has 6 faces and 8 corners, the same counts as a cube.
Q 26How much the outside of a solid object covers, adding up every face, is called what?
Surface area
For a box, you find it by adding up the areas of its six rectangular faces.
Q 27The number pi is the ratio of the distance around a circle to what?
Its diameter
Pi is about 3.14159, and its decimals never end or settle into a repeating pattern.
Q 28Which fraction is commonly used as a rough approximation of pi?
22/7
22 ÷ 7 = 3.142857..., close to pi's 3.14159 but not exact, because pi cannot be written as a fraction at all.
Q 29What is the distance around the outside of a circle called?
The circumference
It is the circle's version of perimeter; you find it with pi times the diameter.
Q 30What is the mean of the numbers 2, 3, 4, 7 and 9?
5
Add them up to get 25 and divide by how many there are: 25 ÷ 5 = 5.