Download Potpourri – 5th Grade

Potpourri – 5th Grade
1. 2 points: George, a 4th grader, has yet to learn about the “order of operations”, so he “solves”
the mathematical expression 2 + 3 × 20 − 16 ÷ 4 strictly from left to right. Georgina, however,
is a 6th grader who knows the order of operations inside and out. As a result, she accurately
evaluates the mathematical expression using the order of operations. What is the positive
difference in their two answers?
2. 2 points: If the first four terms of a sequence are 3, 6, 12, 21, and 33, what is the sum of the
next three terms of the sequence?
3. 2 points: In a “hundreds chart”, the numbers from 1 to 100 inclusively are written in
increasing order from left to right and top to bottom, ten numbers per row. If the second
column of numbers is accidentally covered in pie during the math club’s annual pie catapult
contest, how many multiples of 3 in the chart are not covered with pie?
C
A
and , are created, such that A, B, C, and D are all unique
B
D
digits between 1 and 9, inclusively. What is the greatest possible positive difference between
C
A
and ? Express your answer as a simplified mixed number.
B
D
5. 3 points: How many positive three-digit integers are there such that they will remain a
positive three-digit integer when divided by 2?
4. 3 points: Two fractions,
6. 3 points: The distance around Earth is approximately 24902 miles. Suppose that The Flash
was traveling 2017 feet per second. To the nearest hour, how long would it take for The Flash
to travel around Earth twice?
7. 3 points: Consider the mathematical expression 4
4
4
4
4, where each blank represents an operation: addition, subtraction, multiplication, or division. What is the greatest
possible value of this expression if you must use each of the four operations exactly once?
8. 4 points: Given that x is a positive four-digit integer and z is a positive two-digit integer,
x
and = z, what is the largest possible integral value of y?
y
9. 4 points: At home with the flu all day, Paul decided to painstakingly watch his 12-hour
digital clock for twelve straight hours starting at the moment the clock switched to 8:00 am.
Assuming his clock only shows the hours and minutes, for how many minutes will the digit
‘5’ be displayed during those 12 hours?
10. 4 points: What is the ones digit in the sum 12017 + 22017 + 32017 + . . . + 82017 + 92017 ?