Whatcom County Math Championship 2018 Geometry -4 th Grade
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1 Whatcom County Math Championship 2018 Geometry -4 th Grade 1. How many diagonals does a hexagon have? 2. At 7:00 pm, what is the degree measure of the angle formed between the minute and the hour hand? 3. How many total lines of reflectional symmetry are there in the symbols below? Ð Ë ì u 4. A square of area 64 is folded in half to make a rectangle. What is the perimeter of the resulting rectangle? 5. Katie has 12 of the tiles shown below, and she arranges them into the shortest rectangle possible. What is the perimeter of that rectangle? 2 1 A B 6. A and B are midpoints of sides. What fraction of the large triangle is shaded? Give your answer as a fraction in lowest terms. 7. Find the area of this shape, if each small square is one unit.
2 8. What is the perimeter in meters of the figure below? All angles are right angles. 9 m 12 m 9. A circle has a whole number diameter, and an area between 121 and 144. What is the diameter of the circle? 10. In the flag below, the is a half-circle. What is the shaded area? Round your answer to the nearest tenth. 8 12
3 Whatcom County Math Championship 2018 Geometry 5 th Grade 1. A square of area 64 is folded in half to make a rectangle. What is the perimeter of the resulting rectangle? 2. Katie has 12 of the tiles shown below, and she arranges them into the shortest rectangle possible. What is the perimeter of that rectangle? 2 1 A B 3. A and B are midpoints of sides. What fraction of the large triangle is shaded? Give your answer as a fraction in lowest terms. 4. Find the area of this shape, if each small square is one unit. 5. What is the perimeter in meters of the figure below? All angles are right angles. 9 m 12 m 6. A circle has a whole number diameter, and an area between 121 and 144. What is the diameter of the circle?
4 7. In the flag below, the is a half-circle. What is the shaded area? Round your answer to the nearest tenth How many diagonals does a decagon have? 9. What is the area between the four lines given by the equations y = -2x+10, y = 2x+10, y = 2 and y = 6? 10. At 12:04 pm, what is the degree measure of the angle formed between the minute and the hour hand?
5 Whatcom County Math Championship 2018 Geometry 6 th Grade 1. Find the area of this shape, if each small square is one unit. 2. What is the perimeter in meters of the figure below? All angles are right angles. 9 m 12 m 3. A circle has a whole number diameter, and an area between 121 and 144. What is the diameter of the circle? 4. In the flag below, the is a half-circle. What is the shaded area? Round your answer to the nearest tenth How many diagonals does a decagon have? 6. What is the area between the four lines given by the equations y = -2x+10, y = 2x+10, y = 2 and y = 6? 7. At 12:04 pm, what is the degree measure of the angle formed between the minute and the hour hand?
6 8. A fish tank is tilted so that the water is reaching the top edge and the midpoint of the base as shown. What is the depth of the water when the tank is returned to the original horizontal position? 100 cm 40 cm base 9. A square of area 64 is cut in half along the diagonal. What is the perimeter of the resulting triangle? Round your answer to the nearest hundredth. 10. How many triangles of all sizes are there in this picture?
7 Whatcom County Math Championship 2018 Geometry 7 th + 8 th Grade 1. In the flag below, the is a half-circle. What is the shaded area? Round your answer to the nearest tenth How many diagonals does a decagon have? 3. What is the area between the four lines given by the equations y = -2x+10, y = 2x+10, y = 2 and y = 6? 4. At 12:04 pm, what is the degree measure of the angle formed between the minute and the hour hand? 5. A fish tank is tilted so that the water is reaching the top edge and the midpoint of the base as shown. What is the depth of the water when the tank is returned to the original horizontal position? 100 cm 40 cm base 6. A square of area 64 is cut in half along the diagonal. What is the perimeter of the resulting triangle? Round your answer to the nearest hundredth.
8 7. How many triangles of all sizes are there in this picture? 8. STAR is a parallelogram in the first quadrant, with points in order: S at (0, 0), T at (3, 4), and R at (5, 1). What is the slope of the line that connects S and A? Give your answer as a fraction in lowest terms. 9. In square ABCD, kite KITE is placed so that T is at the midpoint of DC, and ET = IT = KT. What is the measure of angle x? A K B E x I D T C 10. In this picture, all squares and circles are concentric. If the area of the small circle is 15, what is the area of the big circle?
Whatcom County Math Championship 2014 Geometry 4 th Grade
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