Washington State Math Championship 2006 Mental Math Grades 5 1. What is the volume of a cube with edge 0.5? 2. What is the perimeter of a square that has an area 64? 3. What is one ninth times 207? 4. What is the sum of 75, 75, 450 and 25? 5. What is 13 percent of 400? 6. What is the perimeter of a regular octagon with a side length of 15 7. What is the sum of the number of degrees in a square and the number of degrees in a hexagon? 8. How many hundreds are there in twenty five times 500? 9. A six-sided die and a four-sided die are tossed. What is the probability that the sum on the dice will equal an even number? Write your answer as a reduced 10. What is the sum of four cubed and seven cubed? 11. What is the largest factor common to both thirty six and twenty four? 12. What is the difference between six factorial and four factorial? 13. Radii of a circle cut into 12 equal sectors. The central angle of each sector is how many degrees?
14. Three hundred is twenty-five percent of what number? 15. What is the square root of 169? 16. What is the cubed root of 512? 17. What is the difference between three-fourths and two-thirds? 18. What is five-sixths of the difference between 77 and 35? 19. What is one-half the square root of 400 squared? 20. Add four-thirds to the quotient of 624 and 12. Express your answer as a reduced
Washington State Math Championship 2006 Mental Math Grades 6 1. What is the perimeter of a regular octagon with a side length of 15 2. What is the sum of the number of degrees in a square and the number of degrees in a hexagon? 3. How many hundreds are there in twenty five times 500? 4. A six-sided die and a four-sided die are tossed. What is the probability that the sum on the dice will equal an even number? Write your answer as a reduced 5. What is the sum of four cubed and seven cubed? 6. What is the largest factor common to both thirty-six and twenty-four? 7. What is the difference between six factorial and four factorial? 8. Radii of a circle cut into 12 equal sectors. The central angle of each sector is how many degrees? 9. Three hundred is twenty-five percent of what number? 10. What is the square root of 169? 11. What is the cubed root of 512? 12. What is the difference between three-fourths and two-thirds?
13. What is five-sixths of the difference between 77 and 35? 14. What is one-half the square root of 400 squared? 15. Add four-thirds to the quotient of 624 and 12. Express your answer as a reduced 16. What is the product of 61 and 30? 17. What is the sum of negative 0.6, negative 15.7, and positive 7.8? 18. Start with 22, triple it, add fifteen, and take the square root. 19. What is eighteen times the cube root of 729? 20. What is the sum of the prime factorization of 325?
Washington State Math Championship 2006 Mental Math Grades 7 1. What is the largest factor common to both thirty-six and twenty four? 2. What is the difference between six factorial and four factorial? 3. Radii of a circle cut into 12 equal sectors. The central angle of each sector is how many degrees? 4. Three hundred is twenty-five percent of what number? 5. What is the square root of 169? 6. What is the cubed root of 512? 7. What is the difference between three-fourths and two-thirds? 8. What is five-sixths of the difference between 77 and 35? 9. What is one-half the square root of 400 squared? 10. Add four-thirds to the quotient of 624 and 12. Express your answer as a reduced 11. What is the product of 61 and 30? 12. What is the sum of negative 0.6, negative 15.7, and positive 7.8? 13. Start with 22, triple it, add fifteen, and take the square root.
14. What is eighteen times the cube root of 729? 15. What is the sum of the prime factorization of 325? 16. What is the combined surface area of three cubes that have edge lengths of 1, 2 and 3? 17. What is the probability of rolling a sum of four with a pair of dice? 18. What is the radius of a circle with area 529π? 19. What is the slope between the points (-5, 9) (3, -4)? Express your answer as a 20. What is the volume of a rectangular solid that fits perfectly in a cylinder with a radius of five times the square root of two and a height of six point five?
Washington State Math Championship 2006 Mental Math Grades 8 1. What is the cubed root of 512? 2. What is the difference between three-fourths and two-thirds? 3. What is five-sixths of the difference between 77 and 35? 4. What is one-half the square root of 400 squared? 5. Add four-thirds to the quotient of 624 and 12. Express your answer as a reduced 6. What is the product of 61 and 30? 7. What is the sum of negative 0.6, negative 15.7, and positive 7.8? 8. Start with 22, triple it, add fifteen, and take the square root. 9. What is eighteen times the cube root of 729? 10. What is the sum of the prime factorization of 325? 11. What is the combined surface area of three cubes that have edge lengths of 1, 2 and 3? 12. What is the probability of rolling a sum of four with a pair of dice? 13. What is the radius of a circle with area 529π?
14. What is the slope between the points (-5, 9) (3, -4)? Express your answer as a 15. What is the volume of a rectangular solid that fits perfectly in a cylinder with a radius of five times the square root of two and a height of six point five? 16. What is 40% of one fourth of 2800? 17. What is the product of 4 9 and the difference of 82 6 a reduced 20 and? Write your answer as 12 18. What is 4/36 to the 1/2 power? 19. A cube with the volume of eight is combined with 7 others to form a larger cube. What is the surface area of the new larger cube? 20. The first four numbers in a series are -3, -2, 3, and 12. What is the seventh number in that series?