A pattern of equilateral triangles will be made from matchsticks, as shown. One whole matchstick is used per side on each triangle. If the pattern is extended and uses exactly 77 matchsticks, how many triangles will be formed?
What is 38.
100
How many factors of 1000 can be divided by 20 without a remainder?
What is 6.
100
One square has a perimeter of 40 inches. A second square has a perimeter of 36 inches. What is the positive difference in the areas of the two squares?
What is 19 square inches.
100
Mary purchases 3 dozen tomatoes for $6.66. At this rate, how much will 10 dozen tomatoes cost?
What is $22.20.
100
Peter rode his bike a total of 500 miles in five days. Each day he rode 10 more miles than he had ridden on the previous day. How many miles did Peter ride on just the fifth day?
What is 120 miles.
200
The square shown is divided into 4 congruent rectangles. If the perimeter of the square is 144 units. What is the perimeter of one of the four congruent rectangles?
What is 90 square units.
200
Celeste has twenty-seven coins in her piggy bank. They consist of nickels and dimes. Their value is $2.10. How many more dimes than nickels does she have?
What is 3.
200
A right triangle has a side length of 21 inches and a hypotenuse of 29 inches. A second triangle is similar to the first and has a hypotenuse of 87 inches. What is the length of the shortest side of the second triangle?
What is 60 inches.
200
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the smallest integer in the set?
What is 131.
200
Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due south and walked 9 meters plus 32 feet. How many feet away from his original point is Henry?
What is 40 Feet.
300
Triangle ABD has sides AC, BC and AB measuring 18, 24, and 30 units, respectively. If D is the midpoint of segment AB, what is the length of segment CD?
What is 15 units.
300
Mr. Ward is paid $9.50 per hour for 40 hours of work each week. For each hour over 40 hours, he is paid $14.25 per hour. His wages for a given week were $494. How many hours over 40 hours did Mr Ward work that week?
What is 8.
300
The ratio of the length of a rectangular room to its width is 5:3. The perimeter of the room is 48 feet. What is the area of the room?
What is 135 sq ft.
300
Among all of the three-digit integers from 100 to 400, how many have exactly one digit that is an 8?
What is 54.
300
A book is opened to a page at random. The product of the facing page numbers is 9,312. What is the sum of the facing page numbers?
What is 193.
400
The numerical value of a particular square's area is equal to the numerical value of it's perimeter. What is the length of a side of the square?
What is 4.
400
At a discount store, Marty bought some CDs for $8 each and some books for $9 each. She spent $120 in all on a tax-free holiday. What is the fewest number of CD's she could have bought?
What is 6 CDs
400
The perimeter of a rectangular cornfield is 144 feet. The length of the field is 12 feet more than the width. What is the area , in square feet of the cornfield.
What is 1,260 sq. ft.
400
In 30 years, Sue will be 4 times as old as she is now. How old is she now?
What is 10 years old.
400
A standard six-sided die with its faces numbered 1 to 6 is rolled once, and a dime is tossed once. What is the probability of rolling a number less than 3 and tossing a tail? Express your answer as a common fraction.
What is 1/6.
500
A legal-sized piece of paper measures 8.5 inches by 14 inches. A one-inch border of paper is cut off from each of the four sides. How many square inches have been cut off?
What is 41 square inches.
500
Shawn's mystery number is a positive integer less than 40 and her mystery number has exactly three distinct prime factors. What is Shawn's mystery number?
What is 30.
500
When converted to be in the same unit of measure, what is the ratio of 4 cm to 1 km? Express your answer as a common fraction.
What is 1/25,000.
500
John takes one step every second, and each step is 33 inches long. There are 5,280 feet in 1 mile. How fast, in miles per hour, does John walk? Express your answer as a decimal to the nearest hundredth.
What is 1.88.
500
Ben and Dan are two of the members on the school's chess team. In a tournament against their rival team, Ben played exactly 1 out of every 4 games. Dan who played more games, played 14 games. What is the largest number of games the team could have played?