Algebra
Geometry
Logic
100
If two more than three times x is equal to five less than ten times x, what is the value of x?
1
100
All of the streets in Tom’s city are on a regular rectangular grid and run east-west or north-south. Tom starts at the intersection of Poyntz Avenue and Eleventh Street and walks 2 blocks east, then 3 blocks north, then 4 blocks east, then 5 blocks north. Tom then returns to his starting location by walking 6 blocks west, then 8 blocks south. What is the area, in square blocks, enclosed by Tom’s path?
36
100
Bob has 40 cents in his pocket. If Bob has no pennies, how many different combinations of quarters, dimes and/or nickels could he have?
7
200
If ab = 2c, bd = c, b ≠ 0 and d = 16, what is the value of a?
32
200
On a coordinate grid, Micah constructs a pentagon with vertices A(0, 0), B(0, 2), C(3, 4), D(4, 2) and E(2, −1). What is the area of pentagon ABCDE?
12
200
Alicia needs to make her way from Nash to Wiles. Available flights and their respective costs, in dollars, are indicated in the figure shown. If Alicia can take any sequence of flights, what is the total cost of her least expensive route from Nash to Wiles?
$392
300
Two days ago, Neil was assigned a set of problems to solve. Today he solved the final three. Yesterday he solved half of those then remaining plus half a problem. The first day he solved half of those assigned plus half a problem. How many problems were in the assigned set?
15
300
The figure shown can be folded into a rectangular prism. What is the absolute difference between the numerical values of the surface area and volume of the prism?
40
300
At every lunch, three friends share their cheesy crackers with each other but agree not to eat them until they all have the same number. At the first lunch, Axel gives Ben and Chloe as many crackers as they each already have. At the second lunch, Ben gives Axel and Chloe as many crackers as they each already have. At the third lunch, Chloe gives Axel and Ben as many crackers as they each already have, after which they each have 8 crackers, so they eat them. How many crackers did Axel start with?
13