Individual Test - Grade 5

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Cecil Owen
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1 F 2002 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 10 problems are multiple choice and will count toward your team score. nswer by putting the appropriate letter in the blank on the answer sheet. 1. These two letters are related by what combination of transformations? F a. 2 flips b. turn/flip c. 2 slides d. slide/turn e. 2 turns 2. Three batches of paint are to be made by mixing black and white paint. Mixture is 75% white; mixture B has 4 parts black to every 10 parts white; and mixture C has 4 times as much white as black. rrange them from lightest to darkest. a.,b,c b. C,B, c. C,,B, d. B,C, e.,c,b 3. Three pizzas will feed 9 people. How many pizzas will need to be purchased to feed 34 people? a. 9 b. 10 c. 11 d. 12 e What is the sum of the prime numbers between 4 and 40? a. 192 b. 231 c. 258 d. 267 e Samantha orders a large pizza for $13.25, four drinks at $0.95 each, and a bag of candy for $2.95. She splits the cost evenly with three friends. If the sales tax on the purchase was $1.60, how much should each friend pay? a. $7.20 b. $4.32 c. $4.69 d. $5.00 e. $ In the following diagram points on a number line are labeled with capital letters. B C D E F G H D! C =? a. G b. F c. E d. D e. C

2 7. ssuming all angles are right angles, what is the area of the polygon? a. 92 b. 152 c. 192 d. 448 e In which set of numbers is the mean greater than the median? a. {4,5,6} b. {5,6,8} c. {1,2,3} d. {2,4,5} e. {5,7,9} 9. If 7 flubs are worth 2 dohs, how many flubs can be expected for 42 dohs? a. 12 b. 37 c. 47 d. 147 e The area of the sectors of each of the three spinner add to one. The decimal equivalent of the sum of C + I + is closest to C D B E H G I F J K Q S = D = 1 9 ; B = E = 2 9 ; F = 1 4 ; G = J = K = 1 12 ; H = 1 3 ; = 1 8 ; Q = 3 10 ; S = 1 4 a. 0.8 b c d e roblems will count toward your individual score but not your team score. 11. Sam charges $1.90 for ham and half that much for 2 green eggs. Toast costs $0.66 for 2 slices. If a normal breakfast consists of one slice of ham, two green eggs, and one slice of toast, how much does it cost for 5 normal breakfasts? 12. Twelve pencils cost $1.32. How many pencils can be purchased for $16.83? 13. The figure is compose of a square and a regular hexagon. If the area of the square is 25, what is the perimeter of the entire figure?

3 14. Jo, Kelli, and Billie are running a race. If there are no ties, how many way are there to award first, second, and third place? 15. If 2 3 of a number is 12, what is 300% of that number? 16. How many inches are there in yards? 17. How many different squares are in this figure? 18. In a bag are 4 blue, 3 white, 2 red, and one black marble. Without looking, what is the probability of not drawing a white marble? 19. What percentage of the the first 20 positive whole numbers are not prime? 20. The sum of 3 consecutive numbers is 939. What is the largest of the three numbers? Write as a single reduced fraction: 8! ! There were 45 questions on the geography test. Sam got seven-ninths of the them correct. How many did he miss? 23. What is the sum of the prime factors of 2002? 24. Sarah bought a CD for $11.99 plus 8% sales tax. How much change did she receive from an $20 bill? 25. How many differently shaped rectangles with whole number sides could have an area of 120? 26. If 3x =106, then what is the value of x? 27. rope that is 81 feet long is cut into 2 pieces. One piece is 2 7 long is the longer piece? of the other. How many feet 28. The first 3 figures of a sequence made of small squares are given. How many small squares will there be in the sixth figure?

4 29. What is the perimeter of the entire figure if each hexagon is regular, their edge lengths are in a ratio of 1 : 2 : 3 : 4, and the perimeter of the smallest hexagon is 12? 30. What is the area of trapezoid T? [ssume that each small square is one unit on a side.] T

5 2002 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 6 The first 10 problems are multiple choice and will count toward your team score. nswer by putting the appropriate letter in the blank on the answer sheet. 1. What is the sum of the prime numbers between 4 and 40? a. 192 b. 231 c. 258 d. 267 e Samantha orders a large pizza for $13.25, four drinks at $0.95 each, and a bag of candy for $2.95. She splits the cost evenly with three friends. If the sales tax on the purchase was $1.60, how much should each friend pay? a. $7.20 b. $4.32 c. $4.69 d. $5.00 e. $ In the following diagram points on a number line are labeled with capital letters. B C D E F G H D! C =? a. G b. F c. E d. D e. C 4. ssuming all angles are right angles, what is the area of the polygon? a. 92 b. 152 c. 192 d. 448 e In which set of numbers is the mean greater than the median? a. {4,5,6} b. {5,6,8} c. {1,2,3} d. {2,4,5} e. {5,7,9} 6. If 7 flubs are worth 2 dohs, how many flubs can be expected for 42 dohs? a. 12 b. 37 c. 47 d. 147 e. 174

6 7. The area of the sectors of each of the three spinner add to one. The decimal equivalent of the sum of C + I + is closest to C D B E H G I F J K Q S = D = 1 9 ; B = E = 2 9 ; F = 1 4 ; G = J = K = 1 12 ; H = 1 3 ; = 1 8 ; Q = 3 10 ; S = 1 4 a. 0.8 b c d e Three views are given of the same block structure. The highest part of the structure is in which corner? top front right a. left back b. right back c. left front d. right front e. center 9. Which fraction is the median of 3 5, 5 8, 7 10, 7 16, and 11 25? a. 3 5 b. 5 8 c d e normal 9-ounce serving of Ethics Cereal provides 65% of the minimum daily requirement of moral fiber. pproximately how many ounces are needed to provide 100%? a. 14 b. 15 c. 16 d. 17 e. 6 roblems will count toward your individual score but not your team score. 11. How many different squares are in this figure? 12. In a bag are 4 blue, 3 white, 2 red, and one black marble. Without looking, what is the probability of not drawing a white marble? 13. What percentage of the the first 20 positive whole numbers are not prime?

7 14. The sum of 3 consecutive numbers is 939. What is the largest of the three numbers? Write as a single reduced fraction: 8! ! There were 45 questions on the geography test. Sam got seven-ninths of the them correct. How many did he miss? 17. What is the sum of the prime factors of 2002? 18. Sarah bought a CD for $11.99 plus 8% sales tax. How much change did she receive from an $20 bill? 19. How many differently shaped rectangles with whole number sides could have an area of 120? 20. If 3x =106, then what is the value of x? 21. rope that is 81 feet long is cut into 2 pieces. One piece is 2 7 long is the longer piece? of the other. How many feet 22. The first 3 figures of a sequence made of small squares are given. How many small squares will there be in the sixth figure? 23. What is the perimeter of the entire figure if each hexagon is regular, their edge lengths are in a ratio of 1 : 2 : 3 : 4, and the perimeter of the smallest hexagon is 12?

8 24. What is the area of trapezoid T? [ssume that each small square is one unit on a side.] 25. If T is rotated 180 around point, what will be the new coordinates of point? [The lower left corner of the figure has coordinates (0, 0).] T 26. The checkered region is a square with area 100. The area of the largest rectangle is 216. This rectangle has one dimension of 18. What is the area of the shaded region? 27. How many different squares are in this figure? 28. speed of 30 miles per hour is equivalent to 44 feet per second. If Lance traveled 90 miles in 2 hours and 30 minutes, what was his average speed in feet per second? 29. The mean distance from the Sun to the Earth is approximately 1.49 x meters. If this number is written in decimal form, how many zeros will be needed between the 9 and the decimal point? 30. What is the sum of the reciprocals of 0.84 and 1 3? Express your answer as a mixed 4 number.

9 2002 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 7 The first 10 problems are multiple choice and will count toward your team score. nswer by putting the appropriate letter in the blank on the answer sheet. 1. ssuming all angles are right 8 angles, what is the area of the polygon? a. 92 b. 152 c. 192 d. 448 e In which set of numbers is the mean greater than the median? a. {4,5,6} b. {5,6,8} c. {1,2,3} d. {2,4,5} e. {5,7,9} 3. If 7 flubs are worth 2 dohs, how many flubs can be expected for 42 dohs? a. 12 b. 37 c. 47 d. 147 e The area of the sectors of each of the three spinner add to one. The decimal equivalent of the sum of C + I + is closest to C D B E H G I F J K Q S = D = 1 9 ; B = E = 2 9 ; F = 1 4 ; G = J = K = 1 12 ; H = 1 3 ; = 1 8 ; Q = 3 10 ; S = 1 4 a. 0.8 b c d e Three views are given of the same block structure. The highest part of the structure is in which corner? top front right a. left back b. right back c. left front d. right front e. center

10 6. Which fraction is the median of 3 5, 5 8, 7 10, 7 16, and 11 25? a. 3 5 b. 5 8 c d e normal 9-ounce serving of Ethics Cereal provides 65% of the minimum daily requirement of moral fiber. pproximately how many ounces are needed to provide 100%? a. 14 b. 15 c. 16 d. 17 e In a basketball league of 5 teams how many total games will there be if each team is to play every other team three times? a. 25 b. 30 c. 50 d. 125 e ,893,500 = 2 a 3 b 5 c 7 d 11 e. What is a + b + c + d + e? a. 5 b. 8 c. 9 d. 10 e In the following diagram points on a number line are labeled with capital letters. B C D E F G H E B =? a. b. B c. C d. G e. H roblems will count toward your individual score but not your team score. 11. What is the sum of the prime factors of 2002? 12. Sarah bought a CD for $11.99 plus 8% sales tax. How much change did she receive from an $20 bill? 13. How many differently shaped rectangles with whole number sides could have an area of 120? 14. If 3x =106, then what is the value of x? 15. rope that is 81 feet long is cut into 2 pieces. One piece is 2 7 long is the longer piece? of the other. How many feet 16. The first 3 figures of a sequence made of small squares are given. How many small squares will there be in the sixth figure?

11 17. What is the perimeter of the entire figure if each hexagon is regular, their edge lengths are in a ratio of 1 : 2 : 3 : 4, and the perimeter of the smallest hexagon is 12? 18. What is the area of trapezoid T? [ssume that each small square is one unit on a side.] T 19. If T is rotated 180 around point, what will be the new coordinates of point? [The lower left corner of the figure has coordinates (0, 0).] 20. The checkered region is a square with area 100. The area of the largest rectangle is 216. This rectangle has one dimension of 18. What is the area of the shaded region? 21. How many different squares are in this figure? 22. speed of 30 miles per hour is equivalent to 44 feet per second. If Lance traveled 90 miles in 2 hours and 30 minutes, what was his average speed in feet per second? 23. The mean distance from the Sun to the Earth is approximately 1.49 x meters. If this number is written in decimal form, how many zeros will be needed between the 9 and the decimal point? 24. What is the sum of the reciprocals of 0.84 and 1 3? Express your answer as a mixed 4 number.

12 25. In the following isosceles triangle what is the measure of! Q if the measure of! D is 142? D Q 26. Each letter represents a different digit in the following multiplication. Which digit is represented by the X? BC " CB DE8 D8B XEFC XXXBF If 39a + 51b = 117, then what does 52a + 68b equal? 28. Cairo pentagon (used to pave many streets and walks in Cairo) can be formed by connecting the centers of 2 squares and 3 equilateral triangles. What is the measure of! C? C O I 29. What are the coordinates of the point of intersection of the graphs of 2x # y = #14 and y = #2x # 6? 30. How many different squares are in this figure?

13 2002 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 8 The first 10 problems are multiple choice and will count toward your team score. nswer by putting the appropriate letter in the blank on the answer sheet. 1. The area of the sectors of each of the three spinner add to one. The decimal equivalent of the sum of C + I + is closest to C D B E H G I F J K Q S = D = 1 9 ; B = E = 2 9 ; F = 1 4 ; G = J = K = 1 12 ; H = 1 3 ; = 1 8 ; Q = 3 10 ; S = 1 4 a. 0.8 b c d e Three views are given of the same block structure. The highest part of the structure is in which corner? top front right a. left back b. right back c. left front d. right front e. center 3. Which fraction is the median of 3 5, 5 8, 7 10, 7 16, and 11 25? a. 3 5 b. 5 8 c d e normal 9-ounce serving of Ethics Cereal provides 65% of the minimum daily requirement of moral fiber. pproximately how many ounces are needed to provide 100%? a. 14 b. 15 c. 16 d. 17 e. 6

14 5. In a basketball league of 5 teams how many total games will there be if each team is to play every other team three times? a. 25 b. 30 c. 50 d. 125 e ,893,500 = 2 a 3 b 5 c 7 d 11 e. What is a + b + c + d + e? a. 5 b. 8 c. 9 d. 10 e In the following diagram points on a number line are labeled with capital letters. B C D E F G H E B =? a. b. B c. C d. G e. H 8. Which formula describes the pattern n ? a. n!1 b. n +1 c. n + 5 d. (n +1) 2 e. (n!1) 2 9. How many different two-digit numbers begin with an even digit and end with an odd digit? a. 10 b. 20 c. 25 d. 45 e If the largest possible circle is cut from a square, to the nearest whole percent how much of the original square is part of the circle? a. 79 b. 81 c. 83 d. 85 e. 87 roblems will count toward your individual score but not your team score. 11. What is the perimeter of the entire figure if each hexagon is regular, their edge lengths are in a ratio of 1 : 2 : 3 : 4, and the perimeter of the smallest hexagon is 12?

15 12. What is the area of trapezoid T? [ssume that each small square is one unit on a side.] 13. If T is rotated 180 around point, what will be the new coordinates of point? [The lower left corner of the figure has coordinates (0, 0).] T 14. The checkered region is a square with area 100. The area of the largest rectangle is 216. This rectangle has one dimension of 18. What is the area of the shaded region? 15. How many different squares are in this figure? 16. speed of 30 miles per hour is equivalent to 44 feet per second. If Lance traveled 90 miles in 2 hours and 30 minutes, what was his average speed in feet per second? 17. The mean distance from the Sun to the Earth is approximately 1.49 x meters. If this number is written in decimal form, how many zeros will be needed between the 9 and the decimal point? 18. What is the sum of the reciprocals of 0.84 and 1 3? Express your answer as a mixed 4 number. 19. In the following isosceles triangle what is the measure of " Q if the measure of " D is 142? D Q 20. Each letter represents a different digit in the following multiplication. Which digit is represented by the X? 21. If 39a + 51b = 117, then what does 52a + 68b equal? BC # CB DE8 D8B XEFC XXXBF 8

16 22. Cairo pentagon (used to pave many streets and walks in Cairo) can be formed by connecting the centers of 2 squares and 3 equilateral triangles. What is the measure of " C? C O 23. What are the coordinates of the point of intersection of the graphs of 2x! y =!14 and y =!2x! 6? 24. How many different squares are in this figure? I 25. Four different flags are available to send messages. Messages can be composed of 4, 3, 2, 1, or 0 flags. The order of the flags can change the meaning of the message. How many different messages are possible? 26. What is the area of the rectangle formed by these graphs? y = 3 4 x! 9 4 ; y = 3 4 x + 4; y =! 4 3 x ; y =! 4 3 x What is the perimeter of the rectangle formed by the graphs in the previous problem? 28. Maybell paid $37.68 for a boxed set of CDs which included a 7.8% sales tax. What was the price of the boxed set of CDs without the sales tax? 29. certain bacterial population can double every minute. Starting from a single bacterium, the population will fill a one-liter container in 20 minutes. To the nearest minute, after how many minutes is the one-liter container 10% full of bacteria? 30. What is the area of the entire figure if each hexagon is regular, their edge lengths are in a ratio of 1 : 2 : 3 : 4, and the area of the largest hexagon is 80?

Individual Test - Grade 5

2003 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 10 problems are