Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
Level 3
There are 20% as many green beads as red beads in May's collection of beads. The number of purple beads is 30% fewer than the number of red beads. There are 330 more purple beads than green beads.
Find the total number of beads in the collection.
What percentage are the number of red beads as compared to the number of purple beads? Leave your answer as a mixed number in its simplest form.
Level 3
Two identical pails C and D contained some water. Pail C was 14 filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?
