6th Grade Math Trivia
0Loading crowd target
0Loading crowd target
8correct to beat the crowd
49 free 6th Grade Math trivia questions with answers — science & nature quiz, new questions added Sep 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 49 questions with answers and explanations. Play the quiz
Q 01In the expression 2 + 3 × 4, which operation do you do first?
The multiplication
The multiplication comes first, which makes the answer 14; without an agreed order the same string of symbols could mean two different numbers, so everyone follows one convention.
Q 02What is (2 + 3) × 4?
20
20: the grouping symbols send 2 + 3 to the front of the queue, making 5 × 4, because such symbols overrule the usual order.
Q 03What is the ratio of oranges to lemons, in simplest form, in a bowl of 8 oranges and 6 lemons?
4:3
4:3 comes from dividing both parts of 8:6 by 2; the order matters, because 3:4 would describe a bowl with more lemons than oranges.
Q 04A statement that two ratios are equal, such as 6:8 = 3:4, is called what?
A proportion
A proportion lets you find a missing number by multiplying across the known corners and dividing by the third, which is how a recipe is scaled up or a distance read off a map.
Q 05The word 'percent' literally means 'by' what number?
One hundred
One hundred is the 'cent' in percent, from the Latin per centum, 'by the hundred'; the same root gives a century its hundred years and a dollar its hundred cents.
Q 06What is 50% of 500?
250
250: fifty percent is just another name for a half, and the same shortcut turns 10% into a tenth, a quick way to work such percentages out in the head.
Q 07What percentage increase is a price rise from $2.00 to $2.50?
25%
25%: divide the 50-cent rise by the starting price of $2.00; measured against the new price it would be only 20%, which is why a 25% rise is wiped out by a 20% cut.
Q 08Which of these is an integer?
−7
−7 is an integer because integers are the whole numbers, their negatives and zero; the word is Latin for 'untouched' or 'whole', a number with no broken-off fractional part.
Q 09Which number has the greatest absolute value?
−8
−8 sits eight steps from zero, farther than 7 does, and absolute value measures only that distance and never the direction, which is why it can never come out negative.
Q 10In the expression 2⁵, what is the 5 called?
The exponent
The exponent counts how many copies of the base get multiplied together, so 2⁵ is 2 × 2 × 2 × 2 × 2 = 32, a long way from the 10 you get from 2 times 5.
Q 11Any nonzero number raised to the power of 0 equals what?
1
1: each step down in power divides by the base, so 2³ = 8, 2² = 4, 2¹ = 2 and 2⁰ = 1; it is the pattern, not a special rule, that forces the answer.
Q 12Why is b² called 'b squared'?
It gives a square's area
It gives a square's area: a square with side b covers b × b, just as b³ is 'b cubed' because a cube with that side has a volume of b × b × b.
Q 13What is the least common multiple of 6 and 8?
24
24: it is the first number to show up in both times tables, 6, 12, 18, 24 and 8, 16, 24; multiplying the pair gives 48, a common multiple but not the least one.
Q 21If 4 pens cost $6, what do 10 pens cost at the same price each?
$15
$15: find the price of one pen first, $1.50, then multiply by ten; that price for a single unit is what supermarket shelf labels print so that different pack sizes can be compared.
Q 22What is the name for any four-sided shape whose opposite sides would never meet, however far they were extended?
A parallelogram
A parallelogram also has opposite sides of equal length, which means every rectangle, square and rhombus belongs to the family; push a rectangle sideways and it stays one.
Q 23In North American English, which name covers every quadrilateral that has at least one pair of parallel sides?
A trapezoid
Q 14What is the greatest common factor of 18 and 27?
9
9: it is the largest number that divides both exactly, which is why 18/27 shrinks to 2/3 in a single step when you divide top and bottom by it.
Q 15When adding fractions, the smallest number that both bottom numbers divide into is called what?
The lowest common denominator
The lowest common denominator of 1/2 and 1/3 is 6, so they become 3/6 and 2/6 and add up to 5/6; slices can only be counted together once they are all the same size.
Q 16Which theorem says every whole number above 1 is prime or a unique product of primes?
The fundamental theorem of arithmetic
The fundamental theorem of arithmetic is why a factor tree always ends in the same primes however you split it, and why 1 is not counted as prime, since tacking on extra 1s would spoil the uniqueness.
Q 17On a coordinate plane, what are the coordinates of the origin?
(0, 0)
(0, 0) marks the spot where the two axes cross, and every other point is measured from it; pinning points to numbers this way let René Descartes describe curves with equations, which joined geometry to algebra.
Q 18Which ordered pair names the point 5 units up and 3 units to the right of the origin?
(3, 5)
(3, 5): the across move is always written first and the up-or-down move second, whichever way the directions are read out, which is why it is called an ordered pair and why (5, 3) is a different point.
Q 19In which quadrant of a coordinate plane are both the x and y values positive?
The first
The first quadrant is the top right one, and the numbering then runs counter-clockwise, so the second sits at top left, where x turns negative while y stays positive.
Q 20How do you find the area of a triangle?
Half of base times height
Half of base times height works because two identical copies of any triangle fit together into a four-sided shape with that same base and height, so one copy covers exactly half of it.
A trapezoid is the American name; British books call the same shape a trapezium, and to add to the muddle each country has used the other's word for a four-sided shape with no parallel sides at all.
Q 24For a box shape (a rectangular prism), how do you find the volume?
Area of the base times the height
Area of the base times the height gives the volume because a box is a stack of layers: one that is 2 by 3 by 4 has 6 unit cubes in its bottom layer and 4 such layers, so 24 in all.
Q 25What are the 12 lines where the faces of a rectangular box meet called?
Edges
Edges: a box has 12 of them along with 6 faces and 8 corners, and for every convex solid with flat faces the faces plus the corners come to exactly two more than that count.
Q 26Which measurement tells you how much wrapping paper would exactly cover a box?
Surface area
Surface area is found for a box by adding the areas of its six faces, and since they come in three matching pairs, only three products are needed before doubling.
Q 27The number pi is the ratio of the distance around a circle to what?
Its diameter
Its diameter: divide the distance around any circle, whether a coin or a Ferris wheel, by the distance across and you always get the same number, about 3.14159, whose decimals never end or repeat.
Q 28Which fraction is commonly used as a rough approximation of pi?
22/7
22/7 comes to 3.142857..., right to two decimal places; the better 355/113 is right to six, yet no fraction at all can hit pi exactly.
Q 29What is the distance once around the rim of a wheel called?
The circumference
The circumference comes from the Latin for 'carry around'; cut it open and straighten it out and you have the length of string that would wrap exactly once around the circle.
Q 30What is the mean of the numbers 2, 3, 4, 7 and 9?
5
5: add the numbers to get 25, then share that total equally among the five values, which is all a mean is, the fair share each would get if they were levelled out.