Math Trivia Questions
699 trivia questions with answers, all ages. Multiple-choice trivia with answers, sorted by topic and level. Reveal the answers below, pick one at random, or present them full-screen.
- 1.
The expression –105 + (–14) + 34 simplifies to which of the following?
- A–85
- B143
- C–75
- D–57
Answer: –85 - 2.
What is the units digit in the standard decimal expansion of the number 7^25?
- A3
- B7
- C5
- D1
Answer: 7 - 3.
There are 190 guests at a wedding. What is the least number of circular tables needed to seat all the guests if each table seats exactly 8 people?
- A22
- B24
- C23
- D25
Answer: 24 - 4.
Which phrase is a description of 2m+7?
- A2 times the sum of 7 and m
- B7 times the sum of 2 and m
- C7 more than 2 times m
- D2 more than 7 times m
Answer: 7 more than 2 times m - 5.
How many positive integers are factors of 120 and also factors of 40?
- A4
- B2
- C1
- D8
Answer: 8 - 6.
Which mathematician refused the Fields Medal?
- ATerence Tao
- BEdward Witten
- CGrigori Perelman
- DAndrew Wiles
Answer: Grigori Perelman - 7.
The map x -> axa^2 of a group G into itself is a homomorphism if and only if
- Aa^3 = e
- Ba^2 = a
- CG is abelian
- DG = {e}
Answer: a^3 = e - 8.
If matrix A has dimensions 2 × 7 and matrix B has dimensions 7 × 5, what are the dimensions of the product matrix AB?
- A7 × 7
- B2 × 2
- C2 × 5
- D5 × 2
Answer: 2 × 5 - 9.
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1. How many tablespoons of salt does Debnil have?
- A2
- B18-Jan
- C2-Jan
- D18
Answer: 2 - 10.
Abby drives 18 miles round trip between home and work each day. If her daily round trip is rounded to the nearest 5 miles, which of the following is the best estimate of the total number of miles driven in 5 days?
- A75 miles
- B180 miles
- C100 miles
- D125 miles
Answer: 100 miles - 11.
Five thousand dollars compounded annually at an $x\%$ interest rate takes six years to double. At the same interest rate, how many years will it take $\$300$ to grow to $\$9600$?
- A1
- B12
- C5
- D30
Answer: 30 - 12.
There are 7 desks arranged in a row in Mr. Thompson's classroom. Hector sits 2 seats to the right of Kim. Tonya sits 3 seats to the right of Hector. How many seats to the left of Tonya does Kim sit?
- A2
- B5
- C12
- D3
Answer: 5 - 13.
A teacher puts 5 packages of craft paper into a cabinet. Each package has 80 sheets of paper. What is the total numberof sheets of craft paper that the teacher puts into the cabinet?
- A40
- B450
- C400
- D85
Answer: 400 - 14.
The first number in a number pattern is 28. The pattern rule is to add 14 to get the next number in the pattern. If the pattern continues, which statement is true?
- AAll the numbers in the pattern can be divided equally by 4.
- BAll the numbers in the pattern can be divided equally by 8.
- CAll the numbers in the pattern can be divided equally by 7.
- DAll the numbers in the pattern can be divided equally by 10.
Answer: All the numbers in the pattern can be divided equally by 7. - 15.
The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored?
- A52
- B70
- C17
- D35
Answer: 35 - 16.
Jane's quiz scores were 98, 97, 92, 85 and 93. What was her mean score?
- A92
- B95
- C93
- D94.5
Answer: 93 - 17.
What's the square root of 49?
- A4
- B7
- C12
- D9
Answer: 7 - 18.
The sum $1^2 + 2^2 + 3^2 + 4^2 + \cdots + n^2 = n(n+1)(2n+1) \div 6$. What is the value of $21^2 + 22^2 + \cdots + 40^2$?
- A22140
- B2870
- C41
- D19270
Answer: 19270 - 19.
If we take sin x and change it to 3 sin 2x, what will happen to the domain and range of the function?
- ADomain and range remain the same
- BDomain is tripled; range is doubled
- CDomain is the same; range is tripled
- DDomain is double; range remains the same
Answer: Domain is the same; range is tripled - 20.
The region bounded by the x-axis and the function f(x) = x/(1 + x^3) is rotated about the x-axis. What is the volume of the solid generated?
- Aπ/4
- B2π
- Cπ
- Dπ/3
Answer: π/3 - 21.
Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?
- A4x + 6y
- B9x + 4y
- C4x - 9y
- Dx + y + 5
Answer: 4x - 9y - 22.
A bag has 4 red and 6 blue marbles. A marble is selected and not replaced, then a second is selected. What is the probability that both are the same color?
- A\frac{7}{15}
- B\frac{1}{15}
- C\frac{8}{15}
- D\frac{1}{8}
Answer: \frac{7}{15} - 23.
Which of the following sets has the greatest cardinality?
- AR
- BThe set of all finite subsets of R
- CThe set of all functions from R to {0, 1}
- DThe set of all functions from Z to Z
Answer: The set of all functions from R to {0, 1} - 24.
A car gets 24 miles per gallon of gasoline (mi/gal). How many gallons of gasoline would the car need to travel 144 miles?
- A6 gallons
- B5.5 gallons
- C5 gallons
- D6.5 gallons
Answer: 6 gallons - 25.
A theater group has eight members, of which four are females. How many ways are there to assign the roles of a play that involve one female lead, one male lead, and three different objects that can be played by either gender?
- A8
- B640
- C720
- D1920
Answer: 1920 - 26.
What is the plane curve proposed by Descartes to challenge Fermat's extremum-finding techniques called?
- AElliptic Paraboloid of Descartes
- BDescarte's Helicoid
- CCartesian Coordinates
- DFolium of Descartes
Answer: Folium of Descartes - 27.
Which is the best buy?
- A16 bars of soap for $36.48
- B12 bars of soap for $27.60
- C13 bars of soap for $29.51
- D10 bars of soap for $23.20
Answer: 13 bars of soap for $29.51 - 28.
Write 5.875 as a mixed number or fraction in simplest form.
- A5 and 87 over 105
- B5 and 8 over 9
- C7 over 8
- D5 and 7 over 8
Answer: 5 and 7 over 8 - 29.
Simplify $(5x+3) - 2(2x-4)$.
- A7+2x
- B5x+3
- C10+x
- Dx+11
Answer: x+11 - 30.
Jan scored 3 more points in the basketball game than Salah. Cindy scored 22 points, which was twice as many points as Jan. How many points did Salah score?
- A14
- B8
- C11
- D19
Answer: 8 - 31.
The temperature dropped 11°F between 6 P.M. and 10 P.M. It was 84°F at 10 P.M. Write and solve an equation to find t the temperature at 6 P.M.
- At − 11 = 84; 95°F
- Bt − 84 = 11; 95°F
- C84 − t = 11; 73°F
- D84 − 11 = t; 73°F
Answer: t − 11 = 84; 95°F - 32.
A store manager orders shirts from their warehouse. The shirts are packed into boxes and sentto the store, as described below. 81 shirts are ordered. Each shipping box holds 9 shirts. How many shipping boxes are needed for all of the shirts ordered?
- A72
- B8
- C90
- D9
Answer: 9 - 33.
Suppose that $a,b,$ and $c$ are positive integers satisfying $(a+b+c)^3 - a^3 - b^3 - c^3 = 150$. Find $a+b+c$.
- A6
- B150
- C16
- D12
Answer: 6 - 34.
What is the value of y in the equation y/4 = 8?
- A4
- B12
- C2
- D32
Answer: 32 - 35.
Find $x$, given that\[\dfrac{\sqrt{x}}{x\sqrt{3}+\sqrt{2}} = \dfrac{1}{2x\sqrt{6}+4}.\]
- A\frac{3}{4}
- B\frac{1}{8}
- C\frac{1}{4}
- D\frac{1}{2}
Answer: \frac{1}{8} - 36.
For the complex number z = a + bi, it is known that a and b are positive integers, and that z^3 + z^2 + z is a real number. Find the smallest possible value for b.
- A6
- B11
- C10
- D1
Answer: 11 - 37.
What numbers are in the 5th row of Pascal's Triangle?
- A1 4 6 4 1
- B1 3 3 1
- C1 6 15 20 15 6 1
- D1 5 10 10 5 1
Answer: 1 4 6 4 1 - 38.
3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair? (A 3-card hand is a 'pair' if two of the cards match in rank but the third card is different. For example, 668 is a pair, but 999 is not.)
- A\frac{1}{36}
- B\frac{1}{78}
- C\frac{72}{425}
- D\frac{1}{8}
Answer: \frac{72}{425} - 39.
The least common multiple of two integers is 240, and the greatest common divisor is 24. Given that one of the integers is 48, what is the other integer?
- A120
- B20
- C12
- D1
Answer: 120 - 40.
Find the product of 5.7(8) mentally using the Distributive Property.
- A4.56
- B46.4
- C45.6
- D456
Answer: 45.6 - 41.
In a normal distribution, 95% of the data lies within how many standard deviations of the mean?
- A4
- B3
- C2
- D1
Answer: 2 - 42.
Which method can be used to solve 11 x 13?
- AMultiply 11 x 100 and 10 x 3, then add the two products.
- BMultiply 11 x 10 and 10 x 3, then add the two products.
- CMultiply 11 x 10 and 11 x 3, then add the two products.
- DMultiply 11 x 100 and 11 x 3, then add the two products.
Answer: Multiply 11 x 10 and 11 x 3, then add the two products. - 43.
Which expression is equivalent to 9(9m + 3t)?
- A81m + 27t
- B18m + 3t
- C18m + 12t
- D81m+3t
Answer: 81m + 27t - 44.
Find the length of the curve y = ln x between the points where y = 1/2 and y = 1.
- A1.36
- B0.86
- C0.53
- D1.18
Answer: 1.18 - 45.
A salad dressing is made by combining 2 parts vinegar with 5 parts oil. How many ounces of oil should be mixed with 9 ounces of vinegar?
- A3.6
- B2
- C22.5
- D63
Answer: 22.5 - 46.
Restate the expression 4(3 + 2) using the Distributive Property. Do not simplify.
- A4(3) + 2
- B3 + 4(2)
- C20
- D4(3) + 4(2)
Answer: 4(3) + 4(2) - 47.
Find the median in the set of data $79.88, $21.88, $29.88, $19.88, $17.88.
- A$29.88
- B$17.88
- C$19.88
- D$21.88
Answer: $21.88 - 48.
A survey of 1000 registered voters revealed that 450 people would vote for candidate A in an upcoming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
- A95,000
- B44,500
- C99,000
- D48,900
Answer: 99,000 - 49.
Conor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes. Whatis the total number of straws Conor used to make all the shapes?
- A20
- B45
- C60
- D29
Answer: 60 - 50.
A number, rounded to the nearest thousand,is 47,000. Which number could be the number that was rounded?
- A46,295
- B47,520
- C46,504
- D47,924
Answer: 46,504
How to use these trivia questions
- Warm-up. Open a lesson or meeting with 3–5 questions — enough to wake the room, short enough to keep the agenda.
- Review game. Pick 10 questions on the topic you just taught and play them in teams; discuss every wrong answer.
- Quiz night. Mix two or three topics, read each question twice, and give 20 seconds before revealing the answer.
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