Math Trivia Questions — page 13

John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of one-third of one pile. John had 66 pins left. How many pins did John originally have?

• A72
• B36
• C396
• D66

If an equilateral triangle has a side of length 8, what will be the area of a square that has the same perimeter as this triangle?

• A16
• B9
• C36
• D49

Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old? (Spell out the entire day of the week.)

• ATuesday
• BWednesday
• CThursday
• DFriday

Let $f(x) = 3x^2-2$ and $g(f(x)) = x^2 + x +1$. Find the sum of all possible values of $g(25)$.

• A25
• B9
• C13
• D20

If f(z) is an analytic function that maps the entire finite complex plane into the real axis, then the imaginary axis must be mapped onto

• Aan open finite interval
• Ba ray
• Ca point
• Dthe entire real axis

Let k be the number of real solutions of the equation e^x + x - 2 = 0 in the interval [0, 1], and let n be the number of real solutions that are not in [0, 1]. Which of the following is true?

• Ak = 0 and n = 1
• Bk = 1 and n = 0
• Ck > 1
• Dk = n = 1

Lisa owns a small business. There was a loss of $14 on Monday and a profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on Thursday there was a profit of $7. Find the total profit or loss.

• A$15 profit
• B$45 loss
• C$5 profit
• D$10 profit

How many books are in Euclid's Elements of Geometry?

• A17
• B10
• C13
• D8

Solve for $x$: $(-\frac{1}{3})(-4 -3x)=\frac{1}{2}$

• A-\frac{5}{6}
• B\frac{1}{6}
• C\frac{7}{6}
• D\frac{5}{3}

John has 12 marbles of different colors, including one red, one green, and one blue marble. In how many ways can he choose 4 marbles, if exactly one of the chosen marbles is red, green, or blue?

• A252
• B441
• C84
• D276

Juan rolls a fair regular octahedral die marked with the numbers 1 through 8. Then Amal rolls a fair six-sided die. What is the probability that the product of the two rolls is a multiple of 3?

• A\frac{1}{4}
• B\frac{1}{288}
• C\frac{1}{2}
• D\frac{1}{144}

The weekly milk order for the Tranquility Inn includes 40 gallons of low-fat milk and 15 gallons of chocolate milk. What is the ratio of the number of low-fat gallons to chocolate gallons in the Tranquility Inn's weekly milk order?

• A3:01
• B5:03
• C5:01
• D8:03

What is the area of a circle with a diameter of 20 inches if π= 3.1415?

• A314.15 Inches
• B380.1215 Inches
• C1256.6 Inches
• D3141.5 Inches

Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal values, what is $x$?

• A5
• B\frac{10}{3}
• C1
• D\frac{3}{10}

Write an equation for the line tangent to the curve defined by F(t) = (t^2 + 1, 2^t) at the point where y = 4.

• Ay – 4 = 4(x – 5)
• By – 4 = ln 2(x – 2)
• Cy – 4 = ln 2(x – 5)
• Dy – 4 = 4 ln 2(x – 2)

Ten students take a biology test and receive the following scores: 45, 55, 50, 70, 65, 80, 40, 90, 70, 85. What is the mean of the students' test scores?

• A62
• B55
• C60
• D65

Use rounding to estimate the sum of 27.94 + 15.35 to the nearest tenth.

• A43.4
• B43.2
• C43.3
• D43.29

Which fraction shows the ratio of 3 dogs to 5 dogs?

• A5 over 3
• B3 over 5
• C3 over 8
• D2 over 5

A baseball team sold 215 youth tickets for $3 ea

• A(215 × 3) – (467 × 7)
• B(215 × 7) – (467 × 3)
• C(467 × 7) – (215 × 3)
• D(467 × 3) – (215 × 7)

If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) ≥ -1 for all x, what is the greatest possible value of f(0)?

• A8
• B5
• C3
• D4

Which list of numbers is ordered from least to greatest?

• A12,209, 12,902, 125,466, 125,464
• B160,233, 171,141, 11,645, 16,703
• C167,213, 161,455, 17,400, 11,633
• D10,354, 10,600, 104,321, 106,213

A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo?

• A1:05
• B1:04
• C4:01
• D4:05

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)

The probability that a point (x, y) in R^2 is chosen follows a uniform random distribution within the region described by the inequality 0 < |x| + |y| < 1 . What is the probability that 2(x + y) > 1?

• Asqrt(2)/4
• B1/4
• C0
• D1/sqrt(2)

The hypotenuse of a right triangle measures 10 inches and one angle is $45^{\circ}$. What is the number of square inches in the area of the triangle?

• A25
• B125
• C10
• D45

Let V be the vector space, under the usual operations, of real polynomials that are of degree at most 3. Let W be the subspace of all polynomials p (x) in V such that p (0) = p(1) = p(-1) = 0. Then dim V + dim W is

• A6
• B4
• C5
• D7

If $f(x) = 2$ for all real numbers $x$, what is the value of $f(x + 2)$?

• A1
• B0
• C4
• D2

Which step explains how to find the value of a in 6a = 72?

• Amultiply both sides by 6
• Bdivide both sides by 6
• Csubtract 6 from both sides
• Dadd 6 to both sides

Erin made 12 pints of juice. She drinks 3 cups of juice each day. How many days will Erin take to drink all of the juice she made?

• A9 days
• B2 days
• C8 days
• D4 days

Stephanie flew 2,448 miles from Los Angeles to New York City. What is the number of miles Stephanie flew rounded to the nearest thousand?

• A2,000
• B3,000
• C2,500
• D2,400

A right triangle has legs of length $6$ and $b$, and a hypotenuse of length $c$. The perimeter of the triangle is $18$. Compute $c$.

• A\frac{15}{2}
• B8
• C6
• D18

How many sides does a Möbius strip have?

• A2
• B3
• C4
• D1

We roll a fair 6-sided die 5 times. What is the probability that we get a 6 in at most 2 of the rolls?

• A\frac{125}{648}
• B\frac{625}{648}
• C\frac{25}{648}
• D\frac{1}{648}

Given the expression: $1990\times1991 - 1989\times1990$. What counting number is equivalent to the expression?

• A1160
• B8
• C5
• D3980

If the value of x is between 0.0051 and 0.038, which of the following could be x?

• A0.049
• B0.0261
• C0.0042
• D0.052

Write 7 over 33 as a decimal.

• A0.22 Repeating
• B0.021 repeating
• C0.21 Repeating
• D0.2121

You and three friends go to a concert. The total cost for four tickets is $112. Write and solve an equation to find the cost of one ticket t.

• A4t = 112; $28
• B4t = 112; $448
• Ct over 4 = 112; $448
• Dt over 4 = 112; $28

Add. 46,911 + 653,092

• A699,903
• B913,203
• C1,122,202
• D700,003

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

If $f(x) = 8x^3 - 6x^2 - 4x + 5$, find the value of $f( -2)$.

• A-64
• B-24
• C5
• D-75

A tree is a connected graph with no cycles. How many nonisomorphic trees with 5 vertices exist?

• A4
• B1
• C3
• D2

Simplify 5^3. Use a calculator, paper and pencil, or mental math.

• A15
• B125
• C53
• D8

Suppose A, B, and C are statements such that C is true if exactly one of A and B is true. If C is false, which of the following statements must be true?

• AIf A is false, then B is true.
• BIf A is true, then B is false.
• CIf A is false, then B is false.
• DBoth A and B are true.

What is the measure of an angle that turns through 3/4 of a complete circle?

• A75°
• B43°
• C34°
• D270°

Let S, T, and U be nonempty sets, and let f: S -> T and g: T -> U be functions such that the function g ∘ f : S -> U is one-to-one (injective). Which of the following must be true?

• Ag is one-to-one.
• Bf is one-to-one.
• Cf is onto.
• Dg is onto.

If $m$ and $n$ are odd integers, how many terms in the expansion of $(m+n)^6$ are odd?

• A2
• B1
• C4
• D9

What is the smallest prime whose digits sum to $19$?

• A5
• B199
• C11
• D17

The positive square root of 200 is what percent larger than the positive square root of 121? Express your answer to the nearest whole number.

• A27
• B29
• C11
• D14

What is the square of 15?

• A15
• B256
• C225
• D15-Jan

The population of the city where Michelle was born is 145,826. What is the value of the 5 in the number 145,826?

• A5 ones
• B5 thousands
• C5 hundreds
• D5 tens