Margie's car can go 32 miles on a gallon of gas, and gas currently costs \$4 per gallon. How many miles can Margie drive on \$20 worth of gas?
Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at their math club meeting. They paid their guest speaker \$ $\underline{1}\underline{A}\underline{2}$. What is the missing digit A of this 3-digit number?
In $\bigtriangleup ABC$, $D$ is a point on side $\overline{AC}$ such that $BD=DC$ and $\angle BCD$ measures $70^\circ$. What is the degree measure of $\angle ADB$?
![](data:image/png;base64,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)
Rectangle $ABCD$ and right triangle $DCE$ have the same area. They are joined to form a trapezoid, as shown. What is $DE$?
![](data:image/png;base64,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)
The circumference of the circle with center $O$ is divided into 12 equal arcs, marked the letters $A$ through $L$ as seen below. What is the number of degrees in the sum of the angles $x$ and $y$?
![](data:image/png;base64,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)
Rectangle $ABCD$ has sides $CD=3$ and $DA=5$. A circle of radius $1$ is centered at $A$, a circle of radius $2$ is centered at $B$, and a circle of radius $3$ is centered at $C$. Which of the following is closest to the area of the region inside the rectangle but outside all three circles?
![](data:image/png;base64,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)
A 2-digit number is such that the product of the digits plus the sum of the digits is equal to the number. What is the unit digit of the number?
A straight one-mile stretch of highway, $40$ feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at $5$ miles per hour, how many hours will it take to cover the one-mile stretch? Note: $1$ mile= $5280$ feet
Connie multiplies a number by 2 and gets 60 as her answer. However, she should have divided the number by 2 to get the correct answer. What is the correct answer?
Karl bought five folders from Pay-A-Lot at a cost of $\$2.50$ each. Pay-A-Lot had a 20%-off sale the following day. How much could Karl have saved on the purchase by waiting a day?
What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal $\overline{BD}$ of square $ABCD$?
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Soda is sold in packs of $6$, $12$ and $24$ cans. What is the minimum number of packs needed to buy exactly $90$ cans of soda?
Suppose $d$ is a digit. For how many values of $d$ is $2.00d5 > 2.005$?
Bill walks $\tfrac12$ mile south, then $\tfrac34$ mile east, and finally $\tfrac12$ mile south. How many miles is he, in a direct line, from his starting point?
Suppose m and n are positive odd integers. Which of the following must also be an odd integer?
In quadrilateral $ABCD$, sides $\overline{AB}$ and $\overline{BC}$ both have length 10, sides $\overline{CD}$ and $\overline{DA}$ both have length 17, and the measure of angle $ADC$ is $60^\circ$. What is the length of diagonal $\overline{AC}$?
Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran 3 times as fast as he walked. Joe took 6 minutes to walk half way to school. How many minutes did it take Joe to get from home to school?
The sales tax rate in Bergville is 6%. During a sale at the Bergville Coat Closet, the price of a coat is discounted 20% from its \$90.00 price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up \$90.00 and adds 6% sales tax, then subtracts 20% from this total. Jill rings up \$90.00, subtracts 20% of the price, then adds 6% of the discounted price for sales tax. What is Jack's total minus Jill's total?
Big Al, the ape, ate 100 bananas from May 1 through May 5. Each day he ate six more bananas than on the previous day. How many bananas did Big Al eat on May 5?
The area of polygon $ABCDEF$ is 52 with $AB= 8$, $BC = 9$ and $FA= 5$. What is $DE + EF$?
The Little Twelve Basketball Conference has two divisions, with six teams in each division. Each team plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?
How many different isosceles triangles have integer side lengths and perimeter 23?
A five-legged Martian has a drawer full of socks, each of which is red, white or blue, and there are at least five socks of each color. The Martian pulls out one sock at a time without looking. How many socks must the Martian remove from the drawer to be certain there will be 5 socks of the same color?
The results of a cross-country team's training run are graphed below. Which student has the greatest average speed?