Math Trivia Questions for Students — page 4

A store sells 107 different colors of paint. They have 25 cans of each color in storage. The number of cans of paint the store has in storage can be found using the expression below. 107 × 25. How many cans of paint does the store have in storage?

• A2,675
• B749
• C2,945
• D4,250

A meteorologist reports that there is a 30% probability of rain and no sun. If there is a 40% probability of no rain, then the probability of both rain and sun is

• A0.3
• B0.5
• C0.16
• D0.24

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

Which fraction is greater than 2 over 5?

• A4 over 10
• B1 over 5
• C5 over 10
• D1 over 10

If x and y are directly proportional and x = 3 when y = 8, what is the value of x when y = 13?

• A34.667
• B0.615
• C4.875
• D15

On a Cartesian coordinate plane, points $(1,2)$ and $(7, 4)$ are opposite vertices of a square. What is the area of the square?

• A34
• B\sqrt{40}
• C40
• D20

Find the mean of the set of data 18, 9, 9, 10, 11, 14, 30, 19.

• A30
• B11
• C15
• D9

A shape is mad eof 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?

• A240
• B60
• C10
• D120

Evaluate $\log_3 81$.

• A27
• B-1
• C4
• D0.25

There are 230 calories in 4 ounces of a type of ice cream. How many calories are in 6 ounces of that ice cream?

• A345
• B232
• C236
• D460

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

When $(x\sqrt{x^3})^4$ is simplified, what is the exponent of $x$?

• A12
• B2
• C5
• D10

The symbol $5!$ means $5\cdot 4\cdot 3\cdot 2\cdot 1$. What is the greatest odd integer that is a factor of $5!$ ?

• A5
• B31
• C15
• D3

Which pair of ratios CANNOT form a proportion?

• A4 over 5 and 20 over 30
• B4 over 5 and 24 over 30
• C4 over 5 and 20 over 25
• D36 over 45 and 4 over 5

Evaluate the sum\[\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{k}{2^k} + \cdots \]

• A4
• B\infty
• C2
• D1

Write the ratio of 2 cups to 3 qt as a fraction in simplest form.

• A2 over 12
• B3 over 2
• C2 over 3
• D1 over 6

The longest side of a triangle is 10. Which of the following could NOT be the lengths of the other two sides?

• A3, 9
• B4, 7
• C5, 5
• D9, 8

What is the remainder when $2^{87} +3$ is divided by $7$?

• A4
• B2
• C1
• D0

Jerry read a 200-page book in 10 hours. At that rate, how long will it take him to read a 320-page book?

• A24 hours
• B32 hours
• C18 hours
• D16 hours

Find the sum of all integers $k$ such that $\binom{23}{4} + \binom{23}{5} = \binom{24}{k}$.

• A24
• B3
• C21
• D5

Solve the equation 6.73 = z over 7.74. Check your answer.

• A1.0112
• B−1.0102
• C52.0902
• D51.5902

Which pair of expressions below are equivalent?

• A4(2x — 6) and 8x — 24
• Bx+x+x+x and x^4
• C3x + 5x and 15x
• D7(2x) and 9x

An ant crawls straight from $(-4,6)$ to the origin, and then continues straight on to $(4,3)$. How far does it travel?

• A16
• B5
• C5+2\sqrt{13}
• D2\sqrt{2}

Where, in the first quadrant, does the rose r = sin 3θ have a vertical tangent?

• Anowhere
• Bθ = 0.39
• Cθ= 0.47
• Dθ = 0.52

Identify a solution for the equation 5x − 5 = −10 from the given numbers.

• A−4
• B−1
• C−3
• D−6

How many integers 1-9 are divisors of the five-digit number 24,516?

• A32
• B1
• C6
• D5

Bacteria in a culture increase at a rate proportional to the number present. An initial population of 200 triples in 10 hours. If this pattern of increase continues unabated, then the approximate number of bacteria after 1 full day is

• A1160
• B2793
• C1440
• D2408

What is the greatest possible quotient of any two distinct members of the set $\{\frac{2}{5}, \frac{1}{2},5,10\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.

• A5
• B25
• C10
• D20

Ramanujan and Hardy played a game where they both picked a complex number. If the product of their numbers was $32-8i$, and Hardy picked $5+3i$, what number did Ramanujan pick?

• A5+3i
• B4-4i
• C4-i
• D32-8i

What is the maximum value of $4(x + 7)(2 - x)$, over all real numbers $x$?

• A56
• B4
• C-2.5
• D81

What is the quotient for the expression 2,314 / 4?

• A508 r2
• B508
• C578
• D578 r2

Evaluate $\log_8 2$.

• A\frac{1}{4}
• B\frac{1}{3}
• C4
• D3

A dime has a radius of about 0.85 cm. Which measurement is closest to the circumference of a dime?

• A2.67 cm
• B1.70 cm
• C1.33 cm
• D5.34 cm

Which expression is equivalent to 4 x 9?

• A(4x 4) + (4x5)
• B(4x 4) x (4x5)
• C(4+4)+(4+5)
• D(4+4) x (4+5)

Simplify −4 + 7 • 3^2. Use a calculator, paper and pencil, or mental math.

• A289
• B437
• C59
• D27

The base of a solid is the region bounded by x^2 = 4y and the line y = 2, and each plane section perpendicular to the y-axis is a square. The volume of the solid is

• A20
• B32
• C16
• D8

Two numbers added together are 19. Their product is 70. What are the two numbers?

• A7, 10
• B5, 14
• C4, 15
• D3, 16

What is the product of the greatest even prime number and the least odd prime number?

• A12
• B9
• C14
• D6

The expression –105 + (–14) + 34 simplifies to which of the following?

• A–85
• B143
• C–75
• D–57

Find $b$ if $\log_{b}343=-\frac{3}{2}$.

• A\frac{1}{7}
• B\frac{1}{49}
• C7
• D3

Find the difference of 142.76 – 16.5.

• A159.26
• B126.26
• C2.224
• D14,111

Suppose $a$, $b,$ and $c$ are positive numbers satisfying $a^2/b = 1, b^2/c = 2, c^2/a = 3$. Find $a$.

• A12^(1/7)
• B1
• C6
• D7^(1/12)

Ben rolls four fair 20-sided dice, and each of the dice has faces numbered from 1 to 20. What is the probability that exactly two of the dice show an even number?

• A\frac{5}{24}
• B\frac{5}{16}
• C\frac{5}{8}
• D\frac{3}{8}

Trish's resting heart rate is 50 beats per minute. For every minute she exercises, her heart rate increases 5 beats per minute. How long will it take her to reach a heart rate of 120 beats per minute?

• A70 minutes
• B14 minutes
• C5 minutes
• D34 minutes

The curve defined by x^3 + xy - y^2 = 10 has a vertical tangent line when x =

• A2.074
• B1.037
• C2.096
• D0 or –1/3

Which of the following is NOT equivalent to 3 and 3 over 4 gal?

• A30 pt
• B15 qt
• C60 c
• D13 qt

Find the exact answer: 800 - 301

• A599
• B401
• C499
• D500

When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, what is the sum $a+d+e$?

• A6
• B0
• C-80
• D53

Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's coin collection?

• A140
• B120
• C14
• D12

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?

• A231+ 46w = 0
• B46+w= 231
• Cw= 231+ 46
• D231 = 46w