Math Trivia Questions — page 9

Compute the area of the triangle whose altitudes have lengths 10, 12, and 15.

• A240\sqrt{7}/7
• B60\sqrt{7}
• C56\sqrt{15}
• D240\sqrt{7}

A relative maximum value of the function y = (ln x)/x is

• A1/e
• B2/e
• Ce
• D1

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

What is $$\frac{-\frac{18}{7}}{-\frac{6}{5}}?$$

• A\frac{15}{11}
• B\frac{15}{7}
• C\frac{7}{15}
• D\frac{15}{8}

The circle $2x^2 = -2y^2 + 12x - 4y + 20$ is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?

• A20
• B80
• C2\sqrt{20}
• D\sqrt{20}

Suppose the graph of f is both increasing and concave up on a <= x <= b. Then, using the same number of subdivisions, and with L, R, M, and T denoting, respectively, left, right, midpoint, and trapezoid sums, it follows that

• AL <= T <= M <= R
• BL <= M <= T <= R
• CR <= M <= T <= L
• DR <= T <= M <= L

Tisha wrote the following riddle to her friend: I have 2 faces, no vertices, and I can roll. What am I? What is the answer to the riddle?

• Aprism
• Bcylinder
• Csphere
• Dcone

Ty has 12 weeks to read a certain number of books. He will spend 2 weeks reading each book. Which expression can Ty use to find the total number of books he will read?

• A12 + 12
• B12 – 2
• C12 – 2 – 2 – 2
• D12 – 2 – 2 – 2 – 2 – 2 – 2

Identify a solution for the equation x + 2.7 = 8.4 from the given numbers.

• A11.1
• B3.7
• C5.7
• D22.68

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

Which expression is equivalent to 5(4x + 3) — 2x?

• A18x+3
• B7x+8
• C2x+8
• D18x+15

Which statementis true?

• AThe product of 5 x 3 is odd because both of the factors are odd.
• BThe product of 4 x 4 is odd because both of the factors are even.
• CThe product of 5 x 2 is even because both of the factors are even.
• DThe productof 2 x 7 is even because both of the factors are odd.

Mr. Carson drove 1,027 miles in April. He drove 988 miles in May. Mr. Carson used the expression below to find how many more miles he drove in April than in May. 1,027 – 988 How many more miles did Mr. Carson drive in April than in May?

• A1,961 miles
• B39 miles
• C161 miles
• D139 miles

What is the ones digit of $1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9$?

• A2
• B1
• C5
• D0

In Roman Numerals, what does XL equate to?

• A60
• B90
• C40
• D15

Marshall wants to finish typing his English paper before class starts. If he still has 550 words left to type and class starts in 25 minutes, at least how fast must Marshall type to finish his paper on time?

• A22 words per minute
• B20 words per minute
• C21 words per minute
• D25 words per minute

Which expression is equal to 720?

• A9x80
• B7x20
• C8x80
• D9x90

Last weekend Sanjay watched 3 television shows that were each 30 minutes long. He also watched 1 movie on television that was 90 minutes long. What is the total number of minutes Sanjay watched television last weekend?

• A150
• B100
• C120
• D180

A discrete graph is complete if there is an edge connecting any pair of vertices. How many edges does a complete graph with 10 vertices have?

• A20
• B25
• C10
• D45

Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps?

• A$2.28
• B$2.19
• C$5.52
• D$3.72

I am a number. I have 7 in the ones place. I am less than 80 but greater than 70. What is my number?

• A77
• B71
• C73
• D79

Mr. Fuller wants to put fencing around his rectangular-shaped yard. The width of the yard is 55 feet and the lengthis 75 feet. How manyfeet of fencing does Mr. Fuller need?

• A260
• B4,125
• C3,905
• D130

What is the only Millennium Prize Problem that has been solved so far?

• AP vs. NP problem
• BPoincaré conjecture
• CRiemann Hypothesis
• DFermat's conjecture

An ice cream shopsold 48 vanilla milkshakes in a day, which was 40% of the total number of milkshakes sold that day. What was the total number of milkshakes that the ice cream shop sold that day?

• A60
• B120
• C100
• D72

If f is a linear transformation from the plane to the real numbers and if f(1, 1) = 1 and f(-1, 0) = 2, then f(3, 5) =

• A-5
• B8
• C9
• D0

Connor is measuring the capacity of a jar. Which unit of measure can he use?

• APound
• BCentimeter
• CGram
• DCup

The shortest distance from the curve xy = 8 to the origin is

• A2sqrt(2)
• B8
• C4
• D16

What is the value of the expression 2,816 x 7?

• A14,572
• B19,612
• C14,672
• D19,712

Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?

• A\frac{5}{54}
• B\frac{125}{2916}
• C\frac{5}{55}
• D\frac{5}{16}

Yesterday, Micah ate an even number of strawberries. He also ate an odd number of apples. Which group could represent the strawberries, S, and apples, A, Micah ate yesterday?

• ASSSSSSSS; A
• BSSSSSSSS; AAAA
• CSSSSS; AAA
• DSSSSS; AAAA

What is the minimum value of $a^2+6a-7$?

• A-12
• B-16
• C-30
• D-7

In xyz-space, what are the coordinates of the point on the plane 2x + y + 3z = 3 that is closest to the origin?

• A(0, 0, 1)
• B(5/6, 1/3, 1/3)
• C(7/15, 8/15, 1/15)
• D(3/7, 3/14, 9/14)

Which ratio can form a proportion with 6 over 9?

• A2 over 6
• B8 over 12
• C9 over 6
• D24 over 27

A student has 3 puzzles. Each puzzle has 1,250 pieces. What is the total number of pieces in the puzzles?

• A4,750
• B3,650
• C4,650
• D3,750

A veterinarian holds a cat and steps on a scale. The scale reads 157.8 lb. The veterinarian weighs 148.3 lb alone. Which is the best estimate for the weight of the cat?

• ABetween 4 and 7 lb
• BBetween 16 and 19 lb
• CBetween 12 and 15 lb
• DBetween 8 and 11 lb

Evaluate $\log_3 81$.

• A27
• B-1
• C4
• D0.25

What is the volume of the solid in xyz-space bounded by the surfaces y = x^2, y = 2 - x^2, z = 0, and z = y + 3?

• A32/3
• B8/3
• C104/105
• D16/3

When three standard dice are tossed, the numbers $a,b,c$ are obtained. Find the probability that $abc = 180$.

• A\frac{1}{70}
• B\frac{1}{72}
• C\frac{1}{71}
• D\frac{1}{30}

Which of these vowels does NOT have a vertical axis of symmetry?

• AI
• BO
• CE
• DA

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)

Use mental math to solve 8y = 56.

• A9
• B7
• C8
• D6

What is the least number of sides a polygon can have?

• A7
• B2
• C1
• D3

Simplify (2 + 5)^2 − 42.

• A16
• B33
• C7
• D30

At West Elementary School, there are 20 more girls than boys. If there are 180 girls, how can you find the number of boys?

• Amultiply 180 by 20
• Badd 20 to 180
• Csubtract 20 from 180
• Ddivide 180 by 20

Miranda enlarged a picture proportionally. Her original picture is 4 cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length?

• A20 cm
• B12 cm
• C15 cm
• D8 cm

Which of these probability distributions is NOT discrete?

• APoisson
• BHyper-geometric
• CBinomial
• DNormal

If f: R -> R is a bounded function that is Lebesgue integrable, then which of the following must be true?

• AThere does not exist a countably infinite E of R such that f is nondifferentiable at every x \in E.
• BNone of the above.
• Cf is Riemann integrable.
• DThere does not exist an uncountable subset E of R such that f is nondifferentiable at every x \in E.

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

• A56
• B4
• C-2.5
• D81

Which situation could be represented by the expression 6 x 2?

• ARocco hiked six miles each day for two days.
• BRocco had a total of six tennis balls in two cans.
• CRocco biked six miles and then continued for two more miles.
• DRocco had six baseballs and gave away two of them.

Find the exact answer: 942 / 3

• A304
• B214
• C642
• D314