Individual Round Grade 4

Transcription

1 Grade 4 1. Evaluate the following equation: ( ) x 10 5 =? 2. If one side of a cube is 4 centimeters, how many cubic centimeters is the volume of the cube? 3. Freddy s alarm went off as usual at 6:00am. Whenever he hits his snooze button, the weird alarm will wait to go off again for 11 minutes. How many times will he have to hit the snooze button if he wants to sleep past 7:00am? Assume he hits the snooze button immediately, and first hits it when it goes off at 6:00am. 4. What is the sum of the first seven positive integers? 5. If the product of two numbers is 162, and one of the numbers is 18, what is the sum of the two numbers? 6. Write the improper fraction 5 33 as a mixed number. 7. Your parents sent you to the store to buy some tasty kiwi that cost $0.49 each. If you are given a $20 bill and buy 7 kiwi, how much change should you get? 8. If a ten-ounce can of frozen juice can be made into two pitchers of juice, how many pitchers of juice can be made from a 45 ounce can? What is + +? Express your answer as a common fraction How many inches are in 4 ½ yards? Use the following table to answer questions #11-13 Favorite Ice Cream Flavors Ice cream flavor Boys Girls Vanilla 3 9 Mint 5 2 Chocolate 10 8 Strawberry How many boys like strawberry ice cream? 12. How many more girls like vanilla ice cream than boys?

2 Grade How many girls like vanilla, chocolate, or strawberry ice cream? 14. What is the product of the second and fourth smallest prime numbers? 15. What is the sum of one hundredth, two tenths, and six hundredths? 16. How many squares will be in the seventh figure of this sequence of figures? 17. If a three letter code can only use the letters A, B, and C, and each letter can only be used once, how many possible codes could be made? 18. If the area of a rectangle must be 36, and you know the sides each can only have whole number lengths, how many different-shaped rectangles could you create? (Note: a 2-by-18 rectangle is the same as an 18-by-2 rectangle.) 19. What is the average of the following set of data? Express your answer as a common fraction. 2, 6, 1, 5, 3, 1, 6, 1, 2, 4, Today is a Saturday. If you were to break the laws of physics and travel 2009 days into the future, what day of the week would it then be? 21. After counting the money that you saved as a kid in your piggy bank, you find that you have 82 pennies. If you decide to give six pennies to eight of your friends, how many pennies will you have left? 22. If you were to count backwards by 99 s from 2009, what would be the first three-digit number you would say? 23. How many square numbers are there that have either two or three digits? 24. If one side of an equilateral triangle is twelve inches, what is the perimeter of the triangle in feet?

3 Grade If you were to buy a pack of cards at a value of $10 today, and five years later that pack of cards had increased their value to $34, what percentage did they increase their value over the five years? 26. A number is divisible by two, three, and five. The number is also a two-digit number between 45 and 65. What is the number? 27. How many hundreds are there in 4.3 million? 28. The sum of two numbers is 106 and their difference is 18. What is the greater of the two numbers? 29. If Red Riding Hood begins with 27 delicious muffins in her basket, and the Big Bad Wolf stops and steals a third of her muffins, how many delicious muffins will she have left to deliver to her grandma? 30. How many unique ways can you arrange the letters in the word CRAZY?

4 Grade 5 1. Write the improper fraction 5 33 as a mixed number. 2. Your parents sent you to the store to buy some tasty kiwi that cost $0.49 each. If you are given a $20 bill and buy 7 kiwi, how much change should you get? 3. If a ten-ounce can of frozen juice can be made into two pitchers of juice, how many pitchers of juice can be made from a 45 ounce can? What is + +? Express your answer as a common fraction How many inches are in 4 ½ yards? Use the following table to answer questions #6-8 Favorite Ice Cream Flavors Ice cream flavor Boys Girls Vanilla 3 9 Mint 5 2 Chocolate 10 8 Strawberry How many boys like strawberry ice cream? 7. How many more girls like vanilla ice cream than boys? 8. How many girls like vanilla, chocolate, or strawberry ice cream? 9. What is the product of the second and fourth smallest prime numbers? 10. What is the sum of one hundredth, two tenths, and six hundredths? 11. How many squares will be in the seventh figure of this sequence of figures?

5 Grade If a three letter code can only use the letters A, B, and C, and each letter can only be used once, how many possible codes could be made? 13. If the area of a rectangle must be 36, and you know the sides each can only have whole number lengths, how many different-shaped rectangles could you create? (Note: a 2-by-18 rectangle is the same as an 18-by-2 rectangle.) 14. What is the average of the following set of data? Express your answer as a common fraction. 2, 6, 1, 5, 3, 1, 6, 1, 2, 4, Today is a Saturday. If you were to break the laws of physics and travel 2009 days into the future, what day of the week would it then be? 16. After counting the money that you saved as a kid in your piggy bank, you find that you have 82 pennies. If you decide to give six pennies to eight of your friends, how many pennies will you have left? 17. If you were to count backwards by 99 s from 2009, what would be the first three-digit number you would say? 18. How many square numbers are there that have either two or three digits? 19. If one side of an equilateral triangle is twelve inches, what is the perimeter of the triangle in feet? 20. If you were to buy a pack of cards at a value of $10 today, and five years later that pack of cards had increased their value to $34, what percentage did they increase their value over the five years? 21. A number is divisible by two, three, and five. The number is also a two-digit number between 45 and 65. What is the number? 22. How many hundreds are there in 4.3 million? 23. The sum of two numbers is 106 and their difference is 18. What is the greater of the two numbers? 24. If Red Riding Hood begins with 27 delicious muffins in her basket, and the Big Bad Wolf stops and steals a third of her muffins, how many delicious muffins will she have left to deliver to her grandma? 25. How many unique ways can you arrange the letters in the word CRAZY?

6 Grade As a reduced common fraction, what is 0.16 equal to? 27. What is the sum of the Roman numerals XXI and VI, expressed as a Roman numeral? 28. If you were to randomly choose a two-digit number, what is the probability that the number you choose is divisible by 9? Express your answer as a common fraction. 29. What value(s) of q will satisfy the following equation? Express your answer as a common fraction. 1 3 q! = If the supplement of an angle is four times the measure of the complement of that angle, what is the measure of the angle in degrees?

7 Grade 6 Use the following table to answer questions #1-3 Favorite Ice Cream Flavors Ice cream flavor Boys Girls Vanilla 3 9 Mint 5 2 Chocolate 10 8 Strawberry How many boys like strawberry ice cream? 2. How many more girls like vanilla ice cream than boys? 3. How many girls like vanilla, chocolate, or strawberry ice cream? 4. What is the product of the second and fourth smallest prime numbers? 5. What is the sum of one hundredth, two tenths, and six hundredths? 6. How many squares will be in the seventh figure of this sequence of figures? 7. If a three letter code can only use the letters A, B, and C, and each letter can only be used once, how many possible codes could be made? 8. If the area of a rectangle must be 36, and you know the sides each can only have whole number lengths, how many different-shaped rectangles could you create? (Note: a 2-by-18 rectangle is the same as an 18-by-2 rectangle.) 9. What is the average of the following set of data? Express your answer as a common fraction. 2, 6, 1, 5, 3, 1, 6, 1, 2, 4, 8

8 Grade Today is a Saturday. If you were to break the laws of physics and travel 2009 days into the future, what day of the week would it then be? 11. After counting the money that you saved as a kid in your piggy bank, you find that you have 82 pennies. If you decide to give six pennies to eight of your friends, how many pennies will you have left? 12. If you were to count backwards by 99 s from 2009, what would be the first three-digit number you would say? 13. How many square numbers are there that have either two or three digits? 14. If one side of an equilateral triangle is twelve inches, what is the perimeter of the triangle in feet? 15. If you were to buy a pack of cards at a value of $10 today, and five years later that pack of cards had increased their value to $34, what percentage did they increase their value over the five years? 16. A number is divisible by two, three, and five. The number is also a two-digit number between 45 and 65. What is the number? 17. How many hundreds are there in 4.3 million? 18. The sum of two numbers is 106 and their difference is 18. What is the greater of the two numbers? 19. If Red Riding Hood begins with 27 delicious muffins in her basket, and the Big Bad Wolf stops and steals a third of her muffins, how many delicious muffins will she have left to deliver to her grandma? 20. How many unique ways can you arrange the letters in the word CRAZY? 21. As a reduced common fraction, what is 0.16 equal to? 22. What is the sum of the Roman numerals XXI and VI, expressed as a Roman numeral? 23. If you were to randomly choose a two-digit number, what is the probability that the number you choose is divisible by 9? Express your answer as a common fraction. 24. What value(s) of q will satisfy the following equation? Express your answer as a common fraction. 1 3 q! =

9 Grade If the supplement of an angle is four times the measure of the complement of that angle, what is the measure of the angle in degrees? 26. The product of two numbers is 176. If the ratio of the larger number to the smaller number is 11:4, what is the sum of the two numbers? 27. If a police officer caught you speeding along on your feet at a whopping 11 feet per minute, what speed (exactly) were you going in miles per hour? 28. At Mathview Elementary School, there are 400 students. 125 are boys, and 275 are girls. If the ratio of boys to girls is the same in Mrs. Smith s class of 32 students as it is in the entire school, how many girls are in her class? 29. To the nearest percent, what percent of 250 is 140? 30. When you traveled to the grocery store one day, you noticed that the car was going 30 mph the entire way there. Then, on the way back, you were going 20 mph the entire way. Assuming you did not make any stops, what was your average speed?

10 Grade 7 1. How many squares will be in the seventh figure of this sequence of figures? 2. If a three letter code can only use the letters A, B, and C, and each letter can only be used once, how many possible codes could be made? 3. If the area of a rectangle must be 36, and you know the sides each can only have whole number lengths, how many different-shaped rectangles could you create? (Note: a 2-by-18 rectangle is the same as an 18-by-2 rectangle.) 4. What is the average of the following set of data? Express your answer as a common fraction. 2, 6, 1, 5, 3, 1, 6, 1, 2, 4, 8 5. Today is a Saturday. If you were to break the laws of physics and travel 2009 days into the future, what day of the week would it then be? 6. After counting the money that you saved as a kid in your piggy bank, you find that you have 82 pennies. If you decide to give six pennies to eight of your friends, how many pennies will you have left? 7. If you were to count backwards by 99 s from 2009, what would be the first three-digit number you would say? 8. How many square numbers are there that have either two or three digits? 9. If one side of an equilateral triangle is twelve inches, what is the perimeter of the triangle in feet? 10. If you were to buy a pack of cards at a value of $10 today, and five years later that pack of cards had increased their value to $34, what percentage did they increase their value over the five years? 11. A number is divisible by two, three, and five. The number is also a two-digit number between 45 and 65. What is the number? 12. How many hundreds are there in 4.3 million?

11 Grade The sum of two numbers is 106 and their difference is 18. What is the greater of the two numbers? 14. If Red Riding Hood begins with 27 delicious muffins in her basket, and the Big Bad Wolf stops and steals a third of her muffins, how many delicious muffins will she have left to deliver to her grandma? 15. How many unique ways can you arrange the letters in the word CRAZY? 16. As a reduced common fraction, what is 0.16 equal to? 17. What is the sum of the Roman numerals XXI and VI, expressed as a Roman numeral? 18. If you were to randomly choose a two-digit number, what is the probability that the number you choose is divisible by 9? Express your answer as a common fraction. 19. What value(s) of q will satisfy the following equation? Express your answer as a common fraction. 1 3 q! = If the supplement of an angle is four times the measure of the complement of that angle, what is the measure of the angle in degrees? 21. The product of two numbers is 176. If the ratio of the larger number to the smaller number is 11:4, what is the sum of the two numbers? 22. If a police officer caught you speeding along on your feet at a whopping 11 feet per minute, what speed (exactly) were you going in miles per hour? 23. At Mathview Elementary School, there are 400 students. 125 are boys, and 275 are girls. If the ratio of boys to girls is the same in Mrs. Smith s class of 32 students as it is in the entire school, how many girls are in her class? 24. To the nearest percent, what percent of 250 is 140? 25. When you traveled to the grocery store one day, you noticed that the car was going 30 mph the entire way there. Then, on the way back, you were going 20 mph the entire way. Assuming you did not make any stops, what was your average speed? 26. How many smiley faces will be in the tenth figure of this pattern?

12 Grade The product of two numbers is 147. If one of the numbers is a third of the other, what is the sum of the two numbers? 28. What is the sum of the number of edges, vertices, and faces on a tetrahedron (pyramid)? 29. If a cube is placed inside of another cube, where the side length of the cube inside is half of the one outside, how many times greater is the volume of the larger cube than the smaller cube? 30. What is the minimum possible value for y in the following equation if x can be any positive number? y = x! 2

13 Grade 8 1. After counting the money that you saved as a kid in your piggy bank, you find that you have 82 pennies. If you decide to give six pennies to eight of your friends, how many pennies will you have left? 2. If you were to count backwards by 99 s from 2009, what would be the first three-digit number you would say? 3. How many square numbers are there that have either two or three digits? 4. If one side of an equilateral triangle is twelve inches, what is the perimeter of the triangle in feet? 5. If you were to buy a pack of cards at a value of $10 today, and five years later that pack of cards had increased their value to $34, what percentage did they increase their value over the five years? 6. A number is divisible by two, three, and five. The number is also a two-digit number between 45 and 65. What is the number? 7. How many hundreds are there in 4.3 million? 8. The sum of two numbers is 106 and their difference is 18. What is the greater of the two numbers? 9. If Red Riding Hood begins with 27 delicious muffins in her basket, and the Big Bad Wolf stops and steals a third of her muffins, how many delicious muffins will she have left to deliver to her grandma? 10. How many unique ways can you arrange the letters in the word CRAZY? 11. As a reduced common fraction, what is 0.16 equal to? 12. What is the sum of the Roman numerals XXI and VI, expressed as a Roman numeral? 13. If you were to randomly choose a two-digit number, what is the probability that the number you choose is divisible by 9? Express your answer as a common fraction. 14. What value(s) of q will satisfy the following equation? Express your answer as a common fraction. 1 3 q! = If the supplement of an angle is four times the measure of the complement of that angle, what is the measure of the angle in degrees? 16. The product of two numbers is 176. If the ratio of the larger number to the smaller number is 11:4, what is the sum of the two numbers?

14 Grade If a police officer caught you speeding along on your feet at a whopping 11 feet per minute, what speed (exactly) were you going in miles per hour? 18. At Mathview Elementary School, there are 400 students. 125 are boys, and 275 are girls. If the ratio of boys to girls is the same in Mrs. Smith s class of 32 students as it is in the entire school, how many girls are in her class? 19. To the nearest percent, what percent of 250 is 140? 20. When you traveled to the grocery store one day, you noticed that the car was going 30 mph the entire way there. Then, on the way back, you were going 20 mph the entire way. Assuming you did not make any stops, what was your average speed? 21. How many smiley faces will be in the tenth figure of this pattern? 22. The product of two numbers is 147. If one of the numbers is a third of the other, what is the sum of the two numbers? 23. What is the sum of the number of edges, vertices, and faces on a tetrahedron (pyramid)? 24. If a cube is placed inside of another cube, where the side length of the cube inside is half of the one outside, how many times greater is the volume of the larger cube than the smaller cube? 25. What is the minimum possible value for y in the following equation if x can be any positive number? y = x! What is the product of the reciprocals of and 1.75? Express your answer as a reduced fraction.

15 Grade If the radius of the top of a paint can is five inches, and the volume of the paint can is 150π, what is the height of the paint can? 28. If68 a! 28b = 140, what does 51 a! 21b equal? At what point(s) does the graph of y = x + 2x + 1 and the x-axis intersect? 30. In an odd version of basketball, Chris has to make at least four of the five free throws to win the round for his team. If he averages 90% for free throws, what is the probability he will win the round? Express your answer to the nearest whole percent.