Federal Way Math Contest 2009

Grades 5-8 Ciphering

ROUND 10

NAME______

GRADE______

SCHOOL______

TEAM______

ROUND 1

1) What is the sum of the area of a square with side 6 and an area of rectangle sides 5 and 7?

1).

2) If f(x) = 3x2 – 5 and g(x) = 2x³ + 1, then what is g(3) –f(3)?

2) .

3) What is the product of the smallest positive two-digit prime number and the largest positive two-digit prime number?

3).

4) Joe has 7 baker’s dozen cookies. Jill has 4 dozen cookies. One baker’s dozen is 13 cookies. How many more cookies does Joe have than Jill?

4).

ROUND 2

1) Evaluate 21 + 22 + 23 + 24 + 25 + 26?

1) .

2) Peter builds a boat every third day. Viren builds a boat every fourth day. How many times will both Peter and Viren build boats on the same day, if Peter starts building on day three and Viren starts building on day four during a period of 72 days?

2).

3) Sally was born 2000 days ago. If today is Friday, what day of the week was Sally born?

3) .

4) 14 pigs equals 7 dogs, 2 dogs equals 15 fooglies, and 5 fooglies equals 4 spoinks, and Marty has 6 spoinks. How many pigs can he trade his spoinks for?

4).

ROUND 3

1) There is a coat for $500. There is a twenty percent discount on the coat. If there is a ten percent tax rate after the discount, how much is the coat with tax?

1) .

2) A circle and two distinct lines are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures?

2).

3) What is 6543 - 3456?

3).

4) How many odd multiples of three are there between 100 and 500?

4).

ROUND 4

1) What is 58 x 62?

1) .

2) Given the sequence 1, 2, 4, 8, 16 … What is the sum of the seventh and eighth terms of the sequence?

2).

3) How many different ways can you arrange the letters in TAP?

3).

4) Joe gave a third of his marbles to Jane, and then gave half of the remaining marbles to Jill. How many does he have now if he started with 150?

4) .

ROUND 5

1) The measures of five angles of a pentagon are in the ratio 1:2:3:4:5. What is the number of degrees in the measure of the smallest angle?

1)______

2) The average number of syllables in the words that Colin types is two. Colin can type 70 words per minute. The average length of a sentence that Colin types is 14 words. He usually misspells one word every twenty minutes. How many words would you expect Colin to correctly spell and type in one hour?

2) .

3) Find A + B + C where A= 20% of 5,000, B= of 25300, C= .25 x 3,000

3) .

4) In a bucket, there are three red marbles, four green marbles, and eight black marbles. What is the probability of drawing two black marbles with replacement?

4).

ROUND 6

1) What is the sum of the GCF and LCM of 35 and 42?

1) .

2) How many positive perfect squares are less than 300?

2) .

3) Five horses can eat ten apples in three days. How many apples can twenty horses eat in six days?

3).

4) Jon and Jack are in the same class. Jon sleeps the first eight minutes of the class. Jack sleeps the last third of the class. If the class is 48 minutes long, then how many minutes are both of them awake?

4) .

ROUND 7

1) What is the volume of a right rectangular prism with faces with areas of 32, 24, and 48 square inches?

1)______

2) What is the area of a square with a side of 3.7? Answer as a decimal.

2)______

3) Evaluate: Answer as an improper fraction.

++

3).

4) Evaluate: (answer as a mixed number)

2 + 4

4) _

ROUND 8

1) Evaluate: 1252

1)

2) What is the least common multiple of 60, 18, and 81?

2) .

3) Find 18 + 137 - 40

3)______

4) How many seconds are in two days?

4) .

ROUND 9

1) What is the total surface area of a right rectangular prism with side lengths 8, 6, and 3?

1) .

2) What is 1 + 2 + 3 + 4 +…….+ 99?

2).

3) Zainthizzle had a long row of 3000 apples. If every third apple is rotten, every fifth one is ugly, and every seventh one contains a worm, how many apples are rotten, ugly, and contain a worm?

3).

4) Evaluate + + . Answer as a reduced improper fraction

4).

ROUND 10

1) A family left for a store at 9:00 am. They reached the store at 10:30am on the same day. If they drove at a constant speed of 40 miles per hour, how many miles away was the store?

1).

2) Evaluate: 252 + 352 + 452

2).

3) If AЖB = (A+B) × AB, then what is 3Ж4?

3).

4) What 222 base 6 in base 10?

4).