Set 1 Olympiad 3
Solve Using a Picture
Cryptarithms
Set 1 Olympiad 4
Algebra
100
Suppose a standard twelve-hour clock now shows a time of 10:45. What time will the clock show 100 hours from now?
2:45
100
Making cuts across the diameter, a lumberjack can cut a log into 4 pieces in twelve minutes. How long would it take to cut a log of the same size and shape into 6 pieces?
20 minutes
100
SO + SO = TOO
50 + 50 = 100
100
What is the value of the whole number N if: N = 1/2 of 2/3 of 3/4 of 4/5 of 100?
N = 20
100
3 + 7 = x + 5
What is x?
5
200
The tower shown below is made by placing congruent cubes on top of each other with no gaps. Not all cubes are visible. How many cubes does the tower contain?
23 cubes
200
Three containers have capacities of 3, 5, and 9 liters. How can you use these containers to measure exactly 7 liters of water?
7 liters
200
UA + AS = ALL
81 + 19 = 100
200
The number 6 has exactly four different factors: 1, 2, 3, and 6. How many different factors does the number 36 have?
9 factors
**Don’t count 6 twice*
200
3x + 4 = 25
What is x?
7
300
The Panthers team won exactly 2 of its first 9 games. By winning all its remaining N games, the Panthers ended with victories in exactly half of the games it played. What number does N represent?
N = 5
300
Assuming that each corner must be tacked, what is the least number of tacks that you need to display 4 rectangular pictures of the same size and shape so that they can all be seen?
9
300
ED + DI = DID
91 + 10 = 101
300
A car needs 1 minute 30 seconds to travel a distance of 1 mile. At this rate, how many miles will the car travel in one hour?
40 miles
300
4x + x + 24 = 49
What is x?
5
400
If Mrs. Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups of 5 students each, 2 students are left over. What is the least number of students the class could have?
17 students
400
How many tournament games will the champion have to play if there are 16 teams competing in a single-elimination tournament?
4
400
DI + IS = ILL
81 + 19 = 100
400
In the number, 203,500 the last two zeroes are called terminal zeroes. If the multiplication 30 x 40 x 50 x 60 x 70 is done, how many terminal zeroes will the products have?
6 terminal zeroes
400
3(x - 4) = x + 16
What is x?
12
500
If 16 is added to one-third of a number, the result is three time the number. What is the number?
The number is 6
500
Gonzalo sits down on the step in front of his house with his clipboard and pencil, and begins counting the pickup trucks that go past. Gonzalo has to make a graph for his sixth-grade math class. Out of the 18 pickup trucks that he counts, 17 have camper shells, 8 have CB antennas, and 7 have both. When Gonzalo sits down to draw the graph, how many pickups belong in the group that has ONLY camper shells, and how many belong in the group that has ONLY CB antennas?
Camper Shells – 10
CB Antennas – 1
500
DAN + NAN = NORA
921 + 121 = 1042
500
Megan has A quarters and B dimes with a total value of $1.95, where A and B are both counting numbers. How many different values of A can Megan have?
Megan can have 4 different values
500
3(2x + 6) = 3x - 6
-8