Word Problems #1
Estimation
Units of Measurement
Conversion
Word Problems #2
100
Max's mathematical maple trees grow in a very special way. The first tree is 1 meter tall, and every tree after the first is 2 meters taller than the tree before it. What is the sum of the heights of the first 10 trees?
400 bonus points if you can get this: Find a formula for the total height of the first N trees in terms of N.
100 meters
100
Wally the walnut counter counts 4,743 walnuts on a certain walnut tree. He counts 7,247 walnuts on another walnut tree. To the nearest hundred, how many walnuts did he count in total?
12,000 walnuts
100
This SI base unit of length is defined by the distance that light travels in a vacuum in a certain fraction of a second.
What is the meter?
100
Convert 100 centimeters to kilometers.
0.001 km (= 1 m)
100
Circle w1 is centered at point A and has radius 1. Circle w2 is also centered at point A and has radius 2. What is the area of the region inside w2 but outside w1?
3pi
200
Madeline has a bag containing 5 red marbles and 3 green marbles. She pulls out a random marble from the bag and observes that it is green. What is the probability that the next two marbles she pulls out will both be red?
10/21
200
To the nearest integer, estimate the volume of a cube with side length 7.002 inches.
343 cubic inches
200
This SI derived unit of force is named after a famous scientist whose second law is often applied using these units.
What is the Newton? (1 N = 1 kg*m/s^2)
200
Convert 6 miles to yards.
10560 yards
200
Find the sum of the interior angles of a polygon with 12 sides.
1800 degrees
300
A water tank that can hold 300 gallons of water is filled as follows:
Water flows into the tank through a pipe at a rate of 3 gallons per minute for 15 minutes or until the tank is full, whichever comes earlier. The pipe is then closed, and water drains out of the tank at a rate of 2 gallons per minute for 10 minutes. This process repeats until the tank is full. How many minutes will it be until the tank is filled completely?
283 minutes and 20 seconds
300
Metal musket balls of diameter 1 cm are melted down and poured into containers. Musket balls come in packages of 100. How many packages of musket balls can be melted down and poured into a container with volume 1000 cubic centimeters?
2 packages
300
This SI unit was the last one to be defined in terms of fundamental constants rather than a physical standard. Until 2019, it was defined by a cylinder made of platinum and iridium.
What is the kilogram?
300
How many centimeters are in 2.5 feet?
25.4 cm
300
What is the area of an equilateral triangle with side length S?
400
A fair coin with sides labeled 1 and 2 is flipped, and a spinner with 5 equal sections labeled 1, 2, 3, 4, and 5 is spun. What is the probability that the product of the two numbers (the one on the coin and the one from the spinner) is even?
7/10
400
Estimate, to the nearest integer, the surface area of a sphere with radius 5 centimeters.
314 square centimeters
400
The mole, the SI unit for measuring the amount of a substance, is defined as follows:
1 mol = X particles
The name of the constant X is ______.
Avogadro's number
400
A pentagonal prism has a surface area of 54 square meters. Each dimension of the prism is then scaled down by a factor of three, such that the length of the prism is 1/3 of the initial length, the width is 1/3 of the initial width, etc. Find the surface area of the prism, in square centimeters.
60,000 square centimeters
400
How many distinct ways can the letters in the word SCIENCES be rearranged, given that all of the letters have to be used at the same time?
7! = (7)(6)(5)(4)(3)(2)
500
The average weight of five distinct apples is 150 grams. I eat one of the apples and find that the average weight of the remaining four apples is 125 grams. What was the weight of the apple that I ate?
250 grams
500
Two congruent circles with radius 20 and centers A and B intersect at points X and Y. The angles XAY and XBY both measure 90 degrees. Find the perimeter of the figure formed by the union of the two circles, to the nearest hundredth.
18.84 square units
500
The prefix "nano", found in words like "nanometer" and "nanosecond", means "ten to the power of ____" or "one part in ______".
10^(-9), or one part in a billion
500
Convert 1 mile per year into inches per second.
You can use a calculator for multiplication/division because this is a really mean question.
0.00200913 in/s
500
Write the following as a difference of two terms: 
