Download wcmc.individual 2015.final

Whatcom County Math Championship – 2015
Individual – 4th Grade
1. If Maia’s cookie recipe calls for three-fourths of a cup of sugar, how much sugar will she need to double the
recipe?
2. Malik has a penny, a nickel, a dime and a quarter. How many cents does he have?
3. How far will Rover run if Rover runs at 4 miles per hour for 6 and a half hours?
4. If 11 more than three times a number is 47, what is the number?
5. What is the next term in the sequence 8, 24, 72, _____?
6. Starship Donuts charges $2.61 for three blueberry donuts. How much would five blueberry donuts cost?
7. What is
1 2 3
+ + ? Write your answer as a reduced fraction.
2 3 4
8. How many 2-digit numbers have at least one 2?
9.€ What is the value of the following: (20 × 24 × 28 × 32) ÷ (10 × 12 × 14 × 16)?
10. How many odd numbers are there between 22 and 66?
11. Write 3.14 as an improper fraction in the form a/b.
12. Find the sum of all the whole numbers from 1 to 22 whose remainder is 2 when divided by 4.
13. Evaluate 26.
14. What is the product of the first 5 prime numbers?
15. Rapunzel’s hair is 2 feet long on Saturday March 14th, and grows 3 inches every day. On what day of the year will
it be triple that length?
16. What is the sum of the positive factors of 48?
17. If a right triangle has one angle that measures 22˚, what is the measure of the other angle?
18. What is the remainder when 2015 is divided by 11?
19. What is
5
minus its reciprocal. Write your answer as a reduced fraction.
4
20. If Zoe rolls two six-sided dice and adds the results, what is the probability that she will roll an 8, 9, or 10? Write
your answer as a reduced fraction.
€
21. Two sides of a rectangle are length 1 and 2; how long is the diagonal? Round your answer to the nearest
hundredth.
22. Farmer McGregor has a rectangular carrot garden. It takes him 24 footsteps to walk the length of the garden,
and 18 footsteps to walk the width. Each footstep he takes is six inches long. If Farmer McGregor can grow 2
pounds of carrots per square foot, how many pounds of carrots can he grow in his garden?
23. What percent of 360 is 225?
24. Noah buys 3 labyrinth books at Vowell’s Bookstore that cost $3.95 each, but because Vowell’s is having an
amazing sale, the books are 60% off. If Noah gives the clerk a ten-dollar bill, how much change does he get back?
25. When the battery in my π-pod is 3/8 charged, I can listen to 240 songs. How many songs can I listen to when it
is 4/5 charged?
26. Drake’s Ice Cream sells chocolate, vanilla, blueberry, cinnamon and butterscotch ice cream. If Alexia gets a
double scoop dish with different flavors and it does not matter which scoop is on top, how many different possible
combinations could she get?
27. If you take all the counting numbers less than 20 that have exactly 4 factors and add them together, what is the
sum?
28. Five consecutive numbers add up to 2015. What is the middle number?
29. If the angles of a triangle are in a 1:2:2 ratio, what is the measure of the bigger angle?
30. What is 25% of ¾? Write your answer as a reduced fraction.
Whatcom County Math Championship – 2015
Individual – 5th Grade
1. Starship Donuts charges $2.61 for three blueberry donuts. How much would five blueberry donuts cost?
2. What is
1 2 3
+ + ? Write your answer as a reduced fraction.
2 3 4
3. How many 2-digit numbers have at least one 2?
4.€ What is the value of the following: (20 × 24 × 28 × 32) ÷ (10 × 12 × 14 × 16)?
5. How many odd numbers are there between 22 and 66?
6. Write 3.14 as an improper fraction in the form a/b.
7. Find the sum of all the whole numbers from 1 to 22 whose remainder is 2 when divided by 4.
8. Evaluate 26.
9. What is the product of the first 5 prime numbers?
10. Rapunzel’s hair is 2 feet long on Saturday March 14th, and grows 3 inches every day. On what day of the year will
it be triple that length?
11. What is the sum of the positive factors of 48?
12. If a right triangle has one angle that measures 22˚, what is the measure of the other angle?
13. What is the remainder when 2015 is divided by 11?
5
14. What is minus its reciprocal. Write your answer as a reduced fraction.
4
15. If Zoe rolls two six-sided dice and adds the results, what is the probability that she will roll an 8, 9, or 10? Write
your answer as a reduced fraction.
€
16. Two sides of a rectangle are length 1 and 2; how long is the diagonal? Round your answer to the nearest
hundredth.
17. Farmer McGregor has a rectangular carrot garden. It takes him 24 footsteps to walk the length of the garden,
and 18 footsteps to walk the width. Each footstep he takes is six inches long. If Farmer McGregor can grow 2
pounds of carrots per square foot, how many pounds of carrots can he grow in his garden?
18. What percent of 360 is 225?
19. Noah buys 3 labyrinth books at Vowell’s Bookstore that cost $3.95 each, but because Vowell’s is having an
amazing sale, the books are 60% off. If Noah gives the clerk a ten-dollar bill, how much change does he get back?
20. When the battery in my π-pod is 3/8 charged, I can listen to 240 songs. How many songs can I listen to when it
is 4/5 charged?
21. Drake’s Ice Cream sells chocolate, vanilla, blueberry, cinnamon and butterscotch ice cream. If Alexia gets a
double scoop dish with different flavors and it does not matter which scoop is on top, how many different possible
combinations could she get?
22. If you take all the counting numbers less than 20 that have exactly 4 factors and add them together, what is the
sum?
23. Five consecutive numbers add up to 2015. What is the middle number?
24. If the angles of a triangle are in a 1:2:2 ratio, what is the measure of the bigger angle?
25. What is 25% of ¾? Write your answer as a reduced fraction.
26. What is the area of a square with a diagonal of 32?
27. Find the four digit number ABCD if ABCD
×9
DCBA
28. In World Cup qualifiying, four teams play each other once each, and get 3 points for a win, 0 points for a loss,
and 1 point for a tie. After all three games, what number of points from 0 – 9 can a team not get?
29. How many vertices are there on a four-dimensional hypercube?
30. Four identical squares and one rectangle are placed together to form one large square as shown below. If the
area of one of the small squares is 36, what is the area of the rectangle?
Whatcom County Math Championship – 2015
Individual – 6th Grade
1. Write 3.14 as an improper fraction in the form a/b.
2. Find the sum of all the whole numbers from 1 to 22 whose remainder is 2 when divided by 4.
3. Evaluate 26.
4. What is the product of the first 5 prime numbers?
5. Rapunzel’s hair is 2 feet long on Saturday March 14th, and grows 3 inches every day. On what day of the year will
it be triple that length?
6. What is the sum of the positive factors of 48?
7. If a right triangle has one angle that measures 22˚, what is the measure of the other angle?
8. What is the remainder when 2015 is divided by 11?
9. What is
5
minus its reciprocal. Write your answer as a reduced fraction.
4
10. If Zoe rolls two six-sided dice and adds the results, what is the probability that she will roll an 8, 9, or 10? Write
your answer as a reduced fraction.
€
11. Two sides of a rectangle are length 1 and 2; how long is the diagonal? Round your answer to the nearest
hundredth.
12. Farmer McGregor has a rectangular carrot garden. It takes him 24 footsteps to walk the length of the garden,
and 18 footsteps to walk the width. Each footstep he takes is six inches long. If Farmer McGregor can grow 2
pounds of carrots per square foot, how many pounds of carrots can he grow in his garden?
13. What percent of 360 is 225?
14. Noah buys 3 labyrinth books at Vowell’s Bookstore that cost $3.95 each, but because Vowell’s is having an
amazing sale, the books are 60% off. If Noah gives the clerk a ten-dollar bill, how much change does he get back?
15. When the battery in my π-pod is 3/8 charged, I can listen to 240 songs. How many songs can I listen to when it
is 4/5 charged?
16. Drake’s Ice Cream sells chocolate, vanilla, blueberry, cinnamon and butterscotch ice cream. If Alexia gets a
double scoop dish with different flavors and it does not matter which scoop is on top, how many different possible
combinations could she get?
17. If you take all the counting numbers less than 20 that have exactly 4 factors and add them together, what is the
sum?
18. Five consecutive numbers add up to 2015. What is the middle number?
19. If the angles of a triangle are in a 1:2:2 ratio, what is the measure of the bigger angle?
20. What is 25% of ¾? Write your answer as a reduced fraction.
21. What is the area of a square with a diagonal of 32?
22. Find the four digit number ABCD if ABCD
×9
DCBA
23. In World Cup qualifiying, four teams play each other once each, and get 3 points for a win, 0 points for a loss,
and 1 point for a tie. After all three games, what number of points from 0 – 9 can a team not get?
24. How many vertices are there on a four-dimensional hypercube?
25. Four identical squares and one rectangle are placed together to form one large square as shown below. If the
area of one of the small squares is 36, what is the area of the rectangle?
26. What is the square of the cube root of the reciprocal of 3.375? Express your answer as a reduced fraction.
27. The inverse of 3 mod 5 is 2, because 2·3 mod 5 is 1. What is the inverse of 3 mod 13?
28. How many 3-digit numbers have at least one 3?
29. What value for n would make
1 2 3
+ + = 1 true?
2 n 4
30. If the sequence 8, m, 72… is a geometric sequence and m is positive, what is the next term in this arithmetic
sequence: 8, m, _____?
€
Whatcom County Math Championship – 2015
Individual – 7th + 8th Grade
1. What is the sum of the positive factors of 48?
2. If a right triangle has one angle that measures 22˚, what is the measure of the other angle?
3. What is the remainder when 2015 is divided by 11?
4. What is
5
minus its reciprocal. Write your answer as a reduced fraction.
4
5. If Zoe rolls two six-sided dice and adds the results, what is the probability that she will roll an 8, 9, or 10? Write
your answer as a reduced fraction.
€
6. Two sides of a rectangle are length 1 and 2; how long is the diagonal? Round your answer to the nearest
hundredth.
7. Farmer McGregor has a rectangular carrot garden. It takes him 24 footsteps to walk the length of the garden,
and 18 footsteps to walk the width. Each footstep he takes is six inches long. If Farmer McGregor can grow 2
pounds of carrots per square foot, how many pounds of carrots can he grow in his garden?
8. What percent of 360 is 225?
9. Noah buys 3 labyrinth books at Vowell’s Bookstore that cost $3.95 each, but because Vowell’s is having an
amazing sale, the books are 60% off. If Noah gives the clerk a ten-dollar bill, how much change does he get back?
10. When the battery in my π-pod is 3/8 charged, I can listen to 240 songs. How many songs can I listen to when it
is 4/5 charged?
11. Drake’s Ice Cream sells chocolate, vanilla, blueberry, cinnamon and butterscotch ice cream. If Alexia gets a
double scoop dish with different flavors and it does not matter which scoop is on top, how many different possible
combinations could she get?
12. If you take all the counting numbers less than 20 that have exactly 4 factors and add them together, what is the
sum?
13. Five consecutive numbers add up to 2015. What is the middle number?
14. If the angles of a triangle are in a 1:2:2 ratio, what is the measure of the bigger angle?
15. What is 25% of ¾? Write your answer as a reduced fraction.
16. What is the area of a square with a diagonal of 32?
17. Find the four digit number ABCD if ABCD
×9
DCBA
18. In World Cup qualifiying, four teams play each other once each, and get 3 points for a win, 0 points for a loss,
and 1 point for a tie. After all three games, what number of points from 0 – 9 can a team not get?
19. How many vertices are there on a four-dimensional hypercube?
20. Four identical squares and one rectangle are placed together to form one large square as shown below. If the
area of one of the small squares is 36, what is the area of the rectangle?
21. What is the square of the cube root of the reciprocal of 3.375? Express your answer as a reduced fraction.
22. The inverse of 3 mod 5 is 2, because 2·3 mod 5 is 1. What is the inverse of 3 mod 13?
23. How many 3-digit numbers have at least one 3?
24. What value for n would make
1 2 3
+ + = 1 true?
2 n 4
25. If the sequence 8, m, 72… is a geometric sequence and m is positive, what is the next term in this arithmetic
sequence: 8, m, _____?
€
26. What is the measure of the smallest angle of a right triangle with sides measuring 3, 4 and 5? Round your
answer to the nearest hundredth.
27. The parabola given by the equation y = x2 – 6x + m will have no x – intercepts if m is greater than n. What is
the smallest value of n?
28. The line y = x crosses the x – axis at a 45° angle. What would the angle be, measured counterclockwise from
the x – axis to the line, if the slope of the line were doubled? Round your answer to the nearest hundredth.
29. What is the sum of the x – intercepts and y – intercept of the parabola given by y = x2 – 10x – 24?
30. Rapunzel’s hair is 2 feet long on Saturday March 14th, and grows a specific amount every day. By March 30th,
her hair has tripled in length. How many inches does it grow every day?