Individual Test FR - Grade 5

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1 2006 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test FR - Grade Music-R-Us had a sale on CDs at $14.59 each. How many did Bruce buy if he paid $94.76 which included $7.22 in tax. 12. Evaluate "2 + 7# 3 2 " ( 4 + 3) Lynn Codd had $10 to put together an aquarium. She bought 8 3 pounds of gravel at 4 69 a pound and as many guppies as she could afford with the rest of her money. Guppies cost 80 a piece. How much change did she receive? 14. According to the World Book Encyclopedia, the third highest mountain in the world, Kanchenjunga, is 28,208 feet above sea level. How high is this in miles? 15. Jaromey needs to average at least 83% to earn a B in Science. So far he has earned a 79%, 93% and 89% on his tests. What is the lowest percent grade he can get on his next test to earn a B average? 16. What is the smallest perfect square that is the difference between two perfect squares? feet equals meters. How many meters equal feet? 18. What three-digit number is 70 less than the square of the product of its first two digits? All the digits are the same in the three-digit number. 19. What is the probability of hitting an even number when shooting darts at the following target? Give your answer as a decimal The product of 6, 11, and 12 is 1 3 of the sum of 258, 345, and x. What is the value of x?

2 21. What is the remainder of the division of the largest prime from 180 to 190 and the largest prime from 30 to 40? 22. When 6 is subtracted from a number and the result is divided by 4 the result is 17. What is the original number? 23. What is.2006% of 2006? 24. DJ Dynamo was going to rip a CD of 7 different songs. She has already decided which song will be fourth and which one will be last. How many different ways are there to arrange the order of the rest of the songs? 25. On a recent car ride, Jimmy and Jenny counted all the Stop signs, Yield signs and Speed Limit signs they passed on the trip. They saw more than one of each and the signs they saw had a total of 42 sides all together. How many different combinations could they have seen? STOP YIELD SPEED LIMIT Stan wanted to stack 5 cases of soup cans into a solidsquare pyramid. Using as many as possible, how many cans are left over if there are 24 in a case? 27. Shaunita has a deal with her parents. She can go to Music Summer Camp if she can save $140. She had eight months and planned to save $3 more than the month before. If she saved $7 the first month, how much does she have after 5 month2? 28. What is the next number in the sequence? 16, 31, 51, 76, = 4 7 n + 23 Find the value of n. 30. If the numbers 6,7,8,9 are used to replace the letters a,b,c,d, what is the greatest value of the following expression? (Answer in the form of a reduced improper fraction.) "a b +c d

3 2006 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test FR - Grade What is the smallest perfect square that is the difference between two perfect squares? feet equals meters. How many meters equal feet? 13. What three-digit number is 70 less than the square of the product of its first two digits? All the digits are the same in the three-digit number. 14. What is the probability of hitting an even number when shooting darts at the following target? Give your answer as a decimal The product of 6, 11, and 12 is 1 3 of the sum of 258, 345, and x. What is the value of x? 16. What is the remainder of the division of the largest prime from 180 to 190 and the largest prime from 30 to 40? 17. When 6 is subtracted from a number and the result is divided by 4 the result is 17. What is the original number? 18. What is.2006% of 2006? 19. DJ Dynamo was going to rip a CD of 7 different songs. She has already decided which song will be fourth and which one will be last. How many different ways are there to arrange the order of the rest of the songs?

4 20. On a recent car ride, Jimmy and Jenny counted all the Stop signs, Yield signs and Speed Limit signs they passed on the trip. They saw more than one of each and the signs they saw had a total of 42 sides all together. How many different combinations could they have seen? STOP YIELD SPEED LIMIT Stan wanted to stack 5 cases of soup cans into a solidsquare pyramid. Using as many as possible, how many cans are left over if there are 24 in a case? 22. Shaunita has a deal with her parents. She can go to Music Summer Camp if she can save $140. She had eight months and planned to save $3 more than the month before. If she saved $7 the first month, how much does she have after 5 month2? 23. What is the next number in the sequence? 16, 31, 51, 76, = 4 7 n + 23 Find the value of n. 25. If the numbers 6,7,8,9 are used to replace the letters a,b,c,d, what is the greatest value of the following expression? (Answer in the form of a reduced improper fraction.) "a b +c d 26. If Sean can read 40 pages in pages? hours, how many minutes would it take him to read 27. Tasleem interviewed 3 8 of the 352 students at Fermat Middle School. Three out of eleven of those interviewed said they like Classic Rock music. How many of all the students at Fermat do not like Classic Rock? 28. What day of the week will it be 3256 hours from nine in the morning on Saturday, March 24, 2006? 29. How many squares that are also cubes are there between 2 and 2006? 30. What is the difference between the sum of the first thirty positive integers and the sum of the first twenty positive integers?

5 2006 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test FR - Grade What is the remainder of the division of the largest prime from 180 to 190 and the largest prime from 30 to 40? 12. When 6 is subtracted from a number and the result is divided by 4 the result is 17. What is the original number? 13. What is.2006% of 2006? 14. DJ Dynamo was going to rip a CD of 7 different songs. She has already decided which song will be fourth and which one will be last. How many different ways are there to arrange the order of the rest of the songs? 15. On a recent car ride, Jimmy and Jenny counted all the Stop signs, Yield signs and Speed Limit signs they passed on the trip. They saw more than one of each and the signs they saw had a total of 42 sides all together. How many different combinations could they have seen? STOP YIELD SPEED LIMIT Stan wanted to stack 5 cases of soup cans into a solidsquare pyramid. Using as many as possible, how many cans are left over if there are 24 in a case? 17. Shaunita has a deal with her parents. She can go to Music Summer Camp if she can save $140. She had eight months and planned to save $3 more than the month before. If she saved $7 the first month, how much does she have after 5 month2? 18. What is the next number in the sequence? 16, 31, 51, 76, = 4 7 n + 23 Find the value of n. 20. If the numbers 6,7,8,9 are used to replace the letters a,b,c,d, what is the greatest value of the following expression? (Answer in the form of a reduced improper fraction.) "a b +c d

6 21. If Sean can read 40 pages in 1 1 hours, how many minutes would it take him to read 2 90 pages? 22. Tasleem interviewed 3 8 of the 352 students at Fermat Middle School. Three out of eleven of those interviewed said they like Classic Rock music. How many of all the students at Fermat do not like Classic Rock? 23. What day of the week will it be 3256 hours from nine in the morning on Saturday, March 24, 2006? 24. How many squares that are also cubes are there between 2 and 2006? 25. What is the difference between the sum of the first thirty positive integers and the sum of the first twenty positive integers? 26. The product of four consecutive even integers is 190,080. What is the mean of the four integers? 27. What is as a common fraction? 28. How many dots are in the 9 th figure? Figure 1 Figure 3 Figure 4 Figure 6 $ 29. If ( k,l) " (m,n) = lm + n k ' & % l m # n k,nlk#m ), then find 3,5 ( reduced fractions. ( ) " 4,5 ( ). Express your answer as 30. Ashley s new car gets 18mi/gal in the city and 24 mi/gal on the highway. She drove 249 miles on 12 gallons of gas. How many of those miles did she drive in the city?

7 2006 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test FR - Grade Stan wanted to stack 5 cases of soup cans into a solidsquare pyramid. Using as many as possible, how many cans are left over if there are 24 in a case? 12. Shaunita has a deal with her parents. She can go to Music Summer Camp if she can save $140. She had eight months and planned to save $3 more than the month before. If she saved $7 the first month, how much does she have after 5 month2? 13. What is the next number in the sequence? 16, 31, 51, 76, = 4 7 n + 23 Find the value of n. 15. If the numbers 6,7,8,9 are used to replace the letters a,b,c,d, what is the greatest value of the following expression? (Answer in the form of a reduced improper fraction.) "a b +c d 16. If Sean can read 40 pages in pages? hours, how many minutes would it take him to read 17. Tasleem interviewed 3 8 of the 352 students at Fermat Middle School. Three out of eleven of those interviewed said they like Classic Rock music. How many of all the students at Fermat do not like Classic Rock? 18. What day of the week will it be 3256 hours from nine in the morning on Saturday, March 24, 2006? 19. How many squares that are also cubes are there between 2 and 2006? 20. What is the difference between the sum of the first thirty positive integers and the sum of the first twenty positive integers? 21. The product of four consecutive even integers is 190,080. What is the mean of the four integers? 22. What is as a common fraction?

8 23. How many dots are in the 9 th figure? Figure 1 Figure 3 Figure 4 Figure 6 $ 24. If ( k,l) " (m,n) = lm + n k ' & % l m # n k,nlk#m ), then find 3,5 ( reduced fractions. ( ) " 4,5 ( ). Express your answer as 25. Ashley s new car gets 18mi/gal in the city and 24 mi/gal on the highway. She drove 249 miles on 12 gallons of gas. How many of those miles did she drive in the city? 26. In the course of the average mammal s life its heart beats about 800 million times, regardless of its size. If a mountain goat s heart beats approximately 95 times a minute, how many years (to the nearest year) would you expect it to live? (Consider every four years to be a leap year.) 27. A hospital in Bellingham is acquiring a radioactive material from a hospital outside Spokane. The Bellingham hospital needs 26 grams of the material that has a half-life of 90 minutes. A half-life is the time it takes half of a material to decay into something else. If the drive from the Spokane area to Bellingham takes hours, with what minimum amount of material that the driver should start? 28. The Great Pyramid was approximately 481 feet tall and 752 feet on a side. What is its surface area to the nearest thousand square feet (excluding the base)? 29. The sum of the perimeters of two similar squares is 280. The areas of the two squares are 25 and What is the length of the diagonal of the smaller square? 30. What are the coordinates of the point of intersection of the graphs of 7y "105 =14( x + 4) and y = 5( x + 5)? Express your coordinates to the nearest integer.

2004 Washington State Math Championship. Individual Test - Grade 5

2004 Washington State Math Championship. Individual Test - Grade 5 004 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 0 problems are multiple