Whatcom County Math Championship 201 Individual 4 th Grade 1. If 2 3 is written as a mixed fraction, what is the difference between the numerator and the denominator? 2. Write 0.92 as a reduced fraction. 3. What is the average of the first 5 even numbers? 4. If 9 more than four times a number is 1, what is the number? 5. What is 2 8?. What is the next term in this sequence: 108, 72, 48,? 7. What is the sum of the first 8 square numbers? 8. When it is 11:00, what is the angle measure between the minute hand and the hour hand? 9. How many prime numbers are there between 1 and 30? 10. As Elsa counts backwards from 212 to 40 by 3s, she takes one step; 209 would be the first step. On what step will she count the number 32? 11. How many ways are there to arrange the letters in the word BRICK? 12. Rene can make 4 crepes in 12 minutes. How many crepes can he make in an hour and a half? 13. If Philip draws a card from a regular 52 card deck, what is the probability that he will get a 3? Write your answer as a reduced fraction. 14. Point M is the midpoint of line segment AB, B is at (20, 4), M is at (18, 2) and A is at (p, q). What is p+q? 15. If the angles in a triangle are x, x and 3x, what is the measure of the biggest angle? 1. A water lily doubles itself every day. If it takes days for a 4 foot by 5 foot pond to be covered by lilies from the first batch of 120 lilies, on what day was the pond half full? 17. If Dasha rolls two six sided dice and adds the results, what is the probability that she will roll a 9 or more? 18. How many triangles of all sizes are there in this picture:
19. What is minus its reciprocal? 5 20. What value of x will make this true: (5 1)(5 2)(5 3)(5 4)(5 x) = 0? 21. Using only nickels, dimes and quarters, how many ways can you make 95 cents? 22. What percent of 48 is 0? 23. What is the remainder when you divided 201 by 23? 24. If you count backwards from 201 by 0. each time, what is the first whole one digit number you say? 25. The area of a square is twice its perimeter. What is the side length of the square? 2. What is the largest whole number perimeter you can make with a rectangle that has an area of 48? 27. How many prime numbers are there between 150 and 200? 28. Six consecutive odd numbers add up to 201. What is the largest of these numbers? 29. What is 1+ 2 3 + 4 5 + 30. Find x, the length of BD. A D x 10? B 8 C
Whatcom County Math Championship 201 Individual 5 th Grade 1. What is the next term in this sequence: 108, 72, 48,? 2. What is the sum of the first 8 square numbers? 3. When it is 11:00, what is the angle measure between the minute hand and the hour hand? 4. How many prime numbers are there between 1 and 30? 5. As Elsa counts backwards from 212 to 40 by 3s, she takes one step; 209 would be the first step. On what step will she count the number 32?. How many ways are there to arrange the letters in the word BRICK? 7. Rene can make 4 crepes in 12 minutes. How many crepes can he make in an hour and a half? 8. If Philip draws a card from a regular 52 card deck, what is the probability that he will get a 3? Write your answer as a reduced fraction. 9. Point M is the midpoint of line segment AB, B is at (20, 4), M is at (18, 2) and A is at (p, q). What is p+q? 10. If the angles in a triangle are x, x and 3x, what is the measure of the biggest angle? 11. A water lily doubles itself every day. If it takes days for a 4 foot by 5 foot pond to be covered by lilies from the first batch of 120 lilies, on what day was the pond half full? 12. If Dasha rolls two six sided dice and adds the results, what is the probability that she will roll a 9 or more? 13. How many triangles of all sizes are there in this picture: 14. What is 5 minus its reciprocal? 15. What value of x will make this true: (5 1)(5 2)(5 3)(5 4)(5 x) = 0? 1. Using only nickels, dimes and quarters, how many ways can you make 95 cents? 17. What percent of 48 is 0? 18. What is the remainder when you divided 201 by 23? 19. If you count backwards from 201 by 0. each time, what is the first whole one digit number you say?
20. The area of a square is twice its perimeter. What is the side length of the square? 21. What is the largest whole number perimeter you can make with a rectangle that has an area of 48? 22. How many prime numbers are there between 150 and 200? 23. Six consecutive odd numbers add up to 201. What is the largest of these numbers? 24. What is 1+ 2 3 + 4 5 + 25. Find x, the length of BD. A D x 10? B 8 C 2. If 1.42 is written as a reduced fraction, what is the difference between the numerator and denominator? 27. The two triangles below are similar; what is x + y? 12 18 15 y x 28. 234 base 5 is equal to 3 in what base? 29. 435 is the sum of the first terms of the sequence 1, 2, 3, 4, 5 30. How many whole number values of n will make this statement true: 1,000 < 2 n < 10,000.
Whatcom County Math Championship 201 Individual th Grade 1. How many ways are there to arrange the letters in the word BRICK? 2. Rene can make 4 crepes in 12 minutes. How many crepes can he make in an hour and a half? 3. If Philip draws a card from a regular 52 card deck, what is the probability that he will get a 3? Write your answer as a reduced fraction. 4. Point M is the midpoint of line segment AB, B is at (20, 4), M is at (18, 2) and A is at (p, q). What is p+q? 5. If the angles in a triangle are x, x and 3x, what is the measure of the biggest angle?. A water lily doubles itself every day. If it takes days for a 4 foot by 5 foot pond to be covered by lilies from the first batch of 120 lilies, on what day was the pond half full? 7. If Dasha rolls two six sided dice and adds the results, what is the probability that she will roll a 9 or more? 8. How many triangles of all sizes are there in this picture: 9. What is 5 minus its reciprocal? 10. What value of x will make this true: (5 1)(5 2)(5 3)(5 4)(5 x) = 0? 11. Using only nickels, dimes and quarters, how many ways can you make 95 cents? 12. What percent of 48 is 0? 13. What is the remainder when you divided 201 by 23? 14. If you count backwards from 201 by 0. each time, what is the first whole one digit number you say? 15. The area of a square is twice its perimeter. What is the side length of the square? 1. What is the largest whole number perimeter you can make with a rectangle that has an area of 48? 17. How many prime numbers are there between 150 and 200? 18. Six consecutive odd numbers add up to 201. What is the largest of these numbers?
19. What is 1+ 2 3 + 4 5 + 20. Find x, the length of BD. A D x 10? B 8 C 21. If 1.42 is written as a reduced fraction, what is the difference between the numerator and denominator? 22. The two triangles below are similar; what is x + y? 12 18 15 y x 23. 234 base 5 is equal to 3 in what base? 24. 435 is the sum of the first terms of the sequence 1, 2, 3, 4, 5 25. How many whole number values of n will make this statement true: 1,000 < 2 n < 10,000. 2. What fraction of the large rectangle is shaded? 27. For whole numbers m and n, define m n as m n. What is 8 (4 )? Round your answer to the m + n nearest hundredth. 28. A cube has a volume of 512, what is the longest distance from one vertex to another? Round your answer to the nearest hundredth. 29. If a n is a geometric sequence, and a 1 = 108 and a 3 = 48, what is a 4? 30. If x 2 x +1 + x = 7, what is x? x +1
Whatcom County Math Championship 201 Individual 7 th + 8 th Grade 1. A water lily doubles itself every day. If it takes days for a 4 foot by 5 foot pond to be covered by lilies from the first batch of 120 lilies, on what day was the pond half full? 2. If Dasha rolls two six sided dice and adds the results, what is the probability that she will roll a 9 or more? 3. How many triangles of all sizes are there in this picture: 4. What is 5 minus its reciprocal? 5. What value of x will make this true: (5 1)(5 2)(5 3)(5 4)(5 x) = 0?. Using only nickels, dimes and quarters, how many ways can you make 95 cents? 7. What percent of 48 is 0? 8. What is the remainder when you divided 201 by 23? 9. If you count backwards from 201 by 0. each time, what is the first whole one digit number you say? 10. The area of a square is twice its perimeter. What is the side length of the square? 11. What is the largest whole number perimeter you can make with a rectangle that has an area of 48? 12. How many prime numbers are there between 150 and 200? 13. Six consecutive odd numbers add up to 201. What is the largest of these numbers? 14. What is 1+ 2 3 + 4 5 + 15. Find x, the length of BD. A D x 10? B 8 C 1. If 1.42 is written as a reduced fraction, what is the difference between the numerator and denominator?
17. The two triangles below are similar; what is x + y? 12 18 15 y x 18. 234 base 5 is equal to 3 in what base? 19. 435 is the sum of the first terms of the sequence 1, 2, 3, 4, 5 20. How many whole number values of n will make this statement true: 1,000 < 2 n < 10,000. 21. What fraction of the large rectangle is shaded? 22. For whole numbers m and n, define m n as m n. What is 8 (4 )? Round your answer to the m + n nearest hundredth. 23. A cube has a volume of 512, what is the longest distance from one vertex to another? Round your answer to the nearest hundredth. 24. If a n is a geometric sequence, and a 1 = 108 and a 3 = 48, what is a 4? 25. If x 2 x +1 + x = 7, what is x? x +1 2. A pentagon has exterior angles of x, 2x, 3x, 4x and 5x. What is the smallest interior angle of this pentagon? 27. There are five whole numbers between 1 and 100 that have 12 factors. What is the median of these numbers? 28. If Philip draws a card from a regular 52 card deck and rolls a fair six sided die, what is the probability that his card number will be higher than his die number? Count Jacks as 11, Queens as 12, Kings as 13, Aces as 1. 29. If the lines y = 3x 5 and 2x + 3y = 18 meet at (a, b), what is a + b? 30. For any positive integer n, define \n/ as the sum of all the positive divisors of n, with the exception of n itself. For example, \/ is 1 + 2 + 3 = and \20/ is 1 + 2 + 4 + 5 + 10 = 22. What is the first number n for which \n/ > 50?