Math Trivia Questions for Students — page 12

A group of students played a basketball game after school. Which total can be found using the expression 7 x 2?

• Athe total number of basketballs used if there were 7 basketballs and 2 of the basketballs were not used
• Bthe total number of points if one player had 7 points and a different player had 2 points
• Cthe total number of points if a player made 7 shots and each shot was worth 2 points
• Dthe total number of basketballs if 7 basketballs were old and 2 basketballs were new

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

8 + 8 ÷ 2 + 2 =

• A8
• B14
• C10
• D4

The standard tip in a restaurant is $ 15 \%$ of the bill before tax. Many people in California find the tip by doubling the sales tax, which is $8.25 \%$. By how many cents does this exceed the standard tip on a bill of $ \$60 $ before tax?

• A60
• B80
• C70
• D90

Solve 5 over 8 *m = 6.

• A3 and 3 over 4
• B3 and 5 over 9
• C5 and 1 over 3
• D9 and 3 over 5

Evaluate (c^2 − b^2)^2 + a^2 for a = 5, b = 3, and c = 2.

• A194
• B0
• C50
• D18

Find $(2^{20} + 2^{20} + 2^{20} +2^{21}) \div 2^{17}$.

• A20
• B0
• C10
• D40

Three points are chosen randomly and independently on a circle. What is the probability that all three pairwise distances between the points are less than the radius of the circle?

• A\frac{1}{20}
• B\frac{1}{32}
• C\frac{1}{16}
• D\frac{1}{12}

A 26-foot ladder leans against a building so that its foot moves away from the building at the rate of 3 feet per second. When the foot of the ladder is 10 feet from the building, the top is moving down at the rate of r feet per second, where r is

• A46/3
• B5/4
• C5/2
• D3/4

Find the area bounded by the spiral r = ln θ on the interval π <= θ <= 2π.

• A3.743
• B4.81
• C2.405
• D2.931

Which expression is equivalent to 9(9m + 3t)?

• A81m + 27t
• B18m + 3t
• C18m + 12t
• D81m+3t

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}

In Morse code, each symbol is represented by a sequence of dashes and dots. How many distinct symbols can be represented using sequences of 1, 2, 3, or 4 total dots and/or dashes?

• A30
• B4680
• C3
• D10

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

Find the exact answer: 365 + 56

• A311
• B421
• C300
• D309

Factor $36-9x^2$.

• A(6-3x)(6+3x)
• B(-3x+6)(3x+6)
• C9(2-x)(2+x)
• D3(2+x)^2

Find the median of the set of data 13, 35, 26, 8, 24, 10, 22, 10, 32.

• A27
• B22
• C23
• D20

Manuel bought a used car for six thousand forty-nine dollars. What is the cost of the used car Manuel bought written as a numeral?

• A$6,049
• B$6,490
• C$649
• D$6,409

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

• A5
• B199
• C11
• D17

Roslyn has twenty boxes. Thirteen of the boxes contain pencils, nine of the boxes contain pens, and three of the boxes contain neither pens nor pencils. How many boxes contain both pens and pencils?

• A5
• B139
• C2
• D13

Abe found the mean and median of this list of numbers. 1, 3, 3 If the number 6 were added to the list, then

• Athe median would decrease.
• Bthe mean would increase.
• Cthe mean would decrease.
• Dthe median would increase.

What does the p equal in 3 + p = 15?

• A5
• B12
• C18
• D3

What is the value of the expression 2(3(4^2 + 1)) - 2^3?

• A156
• B94
• C110
• D48

The ticket prices to a play are $5.00 for teachers and $3.00 for students. How much will it cost for a group of 71 students and 5 teachers to see the play?

• A$228.00
• B$380.00
• C$370.00
• D$238.00

What is the supplement of a 40° angle?

• A140°
• B50°
• C130°
• D220°

Let $f(x)=\frac{(x-2)^2-9}{3}$. The equation $y=f(x)$ is graphed, and the $x$- and $y$-intercepts of the graph are connected to form a polygon. What is the area of that polygon?

• A\frac{\sqrt{2465}{9}
• B5
• C2
• D\frac{25}{6}

Find the quotient of 16.1 ÷ 0.14.

• A115
• B1.15
• C0.0115
• D11.5

Altogether, Sonia and Negin have $27.00. Sonia buys a shirt for $12.35 and Negin buys a pair of sandals for $10.11. How much money remains?

• A$5.76
• B$4.46
• C$4.54
• D$5.36

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

• A-64
• B-24
• C5
• D-75

How many of the 401 integers from $-200$ to $200$ are congruent to $5 \pmod{13}?$

• A31
• B30
• C60
• D45

Find all positive values of $c$ so that the inequality $x^2-6x+c<0$ has real solutions for $x$. Express your answer in interval notation.

• A(0, 9)
• B(1, 1)
• C(6, 0)
• D(6, 6)

A grocerystore sells a bag of 5 lemons for $2.00. What is the unit cost of each lemon in the bag?

• A$0.10
• B$0.60
• C$2.50
• D$0.40

You walked your dog 7 over 9 mi in the morning and 5 over 12 mi in the afternoon. How much farther did you walk your dog in the morning than in the afternoon?

• A13 over 36
• B35 over 108
• C12 over 21
• D2 over 3

Evaluate$$\lceil\sqrt{5}\rceil + \lceil\sqrt{6}\rceil + \lceil\sqrt{7}\rceil + \cdots + \lceil\sqrt{29}\rceil$$Note: For a real number $x,$ $\lceil x \rceil$ denotes the smallest integer that is greater than or equal to $x.$

• A110
• B2006
• C111
• D112

An equilateral triangle has sides of 12 inches. What is the approximate area of the triangle?

• A84
• B62
• C112
• D72

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

• A1160
• B8
• C5
• D3980

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

Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?

• A145
• B144
• C125
• D120

Tara can develop 2 rolls of film in about 18 minutes. At this rate, how long will it take her to develop 8 rolls of film?

• A42 minutes
• B1 hour 12 minutes
• C1 hour 20 minutes
• D1 hour 44 minutes

Kelly chose a mystery number. Her mystery number is a factor of 38. Which number could be Kelly's mystery number?

• A8
• B2
• C3
• D4

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

Four packages are delivered to four houses, one to each house. If these packages are randomly delivered, what is the probability that exactly two of them are delivered to the correct houses? Express your answer as a common fraction.

• A\frac{1}{2}
• B\frac{27}{128}
• C\frac{1}{4}
• D\frac{1}{9}

What value of y makes y + 2.9 = 11 true?

• A9.1
• B13.9
• C8.1
• D8.9

Jess scored 18 points during her last basketball game. Each basket she made was worth 2 points. How many baskets did she make?

• A9
• B16
• C8
• D20

Write the unit rate for driving 308 km in 4 h. Round to the nearest hundredth if necessary.

• A77 km/h
• B82 km/h
• C74 km/h
• D72 km/h

Of the cans of soup in Rolando's cupboard, 1/2 are tomato and 2/5 are chicken noodle. What fraction of the cans of soup in Rolando's cupboard are either tomato or chicken noodle?

• A10-Jul
• B5-Mar
• C10-Sep
• D7-Mar

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

Find the exact answer: 145 + 281 + 62

• A426
• B946
• C1,046
• D488

Wendy wants to take a survey to determine which flavor of ice cream is the most popular at her school. Which of the following methods is the best way for her to choose a random sample of the students at her school?

• Aselecting members of the girls' softball team
• Bselecting members of the boys' basketball team
• Cselecting ten students from each homeroom
• Dselecting students who like her favorite flavor of ice cream

If the point $(3,6)$ is on the graph of $y=g(x)$, and $h(x)=(g(x))^2$ for all $x$, then there is one point that must be on the graph of $y=h(x)$. What is the sum of the coordinates of that point?

• A39
• B36
• C12
• D13