Download Whatcom County Math Championship – 2014 Potpourri 4th – Grade

Whatcom County Math Championship – 2014
Potpourri 4th – Grade
1. Basho spent a $1 bill and got back three different coins in change. What is most amount of money Basho
could have spent?
2. What is the next term in the sequence 8, 14, 21, 29, 38, ______?
3. Ace read a book from 7:46 pm to 8:24 pm, then woke up at night and read for a quarter-hour more.
How many minutes did he read?
4. How many two-digit numbers are divisible by both 3 and 4?
5. If 21 objects are to be placed into five different piles, and each pile has a different number of objects,
what is the largest number of objects any of the piles can have?
6. A two-digit number has this property: its tens digit is eight times its ones digit. What is the number?
7. What fraction of the original square is shaded? Write your answer as a reduced fraction.
8. If the first term of a sequence is 4, the second term is 9, and each of the following terms is equal to the
sum of the previous two terms, what is the tenth term of the sequence?
9. How many triangles of any size are there in the figure below?
10. Annie has cats and birds in her house, and for a while they are friendly enough to let her count them. If
she counts 36 heads and 120 feet total, how many cats does Annie have?
Whatcom County Math Championship – 2014
Potpourri 5th – Grade
1. How many two-digit numbers are divisible by
both 3 and 4?
2. If 21 objects are to be placed into five different
piles, and each pile has a different number of
objects, what is the largest number of objects any
of the piles can have?
3. A two-digit number has this property: its tens
digit is eight times its ones digit. What is the
number?
4. What fraction of the original square is shaded?
Write your answer as a reduced fraction.
5. If the first term of a sequence is 4, the second
term is 9, and each of the following terms is equal
to the sum of the previous two terms, what is the
tenth term of the sequence?
7. Annie has cats and birds in her house, and for a
while they are friendly enough to let her count
them. If she counts 36 heads and 120 feet total,
how many cats does Annie have?
8. Ben is counting backwards from 1,000,000 by
thirteens. What is the first negative number he
reaches?
9. All of the triangles in the figure below are right
triangles, and all of the circles have a radius of 1.
How long is x? Give your answer to the nearest
integer.
x
6. How many triangles of any size are there in the
figure below?
10. If order does not matter, we can write 4 as
the sum of one or more postitive integers in five
ways: 4, 3+1, 2+2, 2+1+1, 1+1+1+1. How many
ways can we write 6 in the same way?
Whatcom County Math Championship – 2014
Potpourri 6th – Grade
1. What fraction of the original square is shaded?
Write your answer as a reduced fraction.
6. All of the triangles in the figure below are right
triangles, and all of the circles have a radius of 1.
How long is x? Give your answer to the nearest
integer.
2. If the first term of a sequence is 4, the second
term is 9, and each of the following terms is equal
to the sum of the previous two terms, what is the
tenth term of the sequence?
3. How many triangles of any size are there in the
figure below?
4. Annie has cats and birds in her house, and for a
while they are friendly enough to let her count
them. If she counts 36 heads and 120 feet total,
how many cats does Annie have?
5. Ben is counting backwards from 1,000,000 by
thirteens. What is the first negative number he
reaches?
x
7. If order does not matter, we can write 4 as the
sum of one or more postitive integers in five
ways: 4, 3+1, 2+2, 2+1+1, 1+1+1+1. How many
ways can we write 6 in the same way?
8. Add 0.42 and 0.042 . Write your answer as a
reduced fraction.
9. How many different ways can you arrange the
letters in the word ARRANGE?
10. How many 4 digit numbers are divisible by
both 3 and 4?
Whatcom County Math Championship – 2014
Potpourri 7th and 8th – Grade
1. Annie has cats and birds in her house, and for a while they are friendly enough to let her count them. If
she counts 36 heads and 120 feet total, how many cats does Annie have?
2. Ben is counting backwards from 1,000,000 by thirteens. What is the first negative number he reaches?
3. All of the triangles in the figure below are right triangles, and all of the circles have a radius of 1. How
long is x? Give your answer to the nearest integer.
x
4. If order does not matter, we can write 4 as the sum of one or more postitive integers in five ways: 4, 3+1,
2+2, 2+1+1, 1+1+1+1. How many ways can we write 6 in the same way?
5. Add 0.42 and 0.042 . Write your answer as a reduced fraction.
6. How many different ways can you arrange the letters in the word ARRANGE?
7. How many 4 digit numbers are divisible by both 3 and 4?
8. What is the area of the triangle formed by the x – axis, the y – axis, and the line 12x – 5y = 30?
9. What is the solution to the equation 23x – 314 = 30, if the numbers are in base 8? Write your answer
in base 10.
10. Simplify
12 + 12 + 12 + 12 + ... so there are no square root signs