1. Week 18 DCA Review Grade 8

2. The two rectangles shown below are similar. Find the length of segment EF. F E H G A B C D Perimeter = 78 in 24 in 8 in

3. At Columbus Middle School 65% of the teachers are women. If there are 39 women teachers, how many TOTAL teachers are at Columbus Middle School?

4. 70% of the swimmers on the swim team are Freshman. If there are 52 Freshman on the swim team, how many total members the team have?

5. A square with a side length of 4 is dilated by a scale factor of 2.5. What will be the PERIMETER of the new square?

6. If a square with an area of 36 square units is dilated by a scale factor of ½, what will be the area of the new square?

7. John bought 3 shirts for $35.20. If each shirt cost $11.00 before tax was added, what tax rate was used to find John’s total?

8. If a rectangle with a width of 8 and a length of 10 is enlarged so that the new length is 15 what will be the new length?

9. If an original regular hexagon has side lengths of 2 and a dilation of the hexagon has side lengths of 6, what scale factor was used to dilate the image?

10. Draw a dilation of the triangle using a scale factor of 2 and the origin as the center of dilation.

11. Several shoe stores are running after Christmas sales on the same shoes. The price reductions are as follows: 40%, ¾, 25%, and ⅓. Write these price reductions in order from least to greatest.

12. Susie is 5 feet tall. She casts a shadow that is 10 feet long. At the same time a tree casts a shadow 30 foot long shadow. What is the height of the tree?

13. A right triangle is shown above. If the triangle is dilated by a scale factor of what will be the PERIMETER of the new triangle. 12cm 20cm

14. The two rectangles below are similar. If the area of the larger rectangle is 54cm 2 what is the area of the smaller rectangle? 9 cm 6 cm

15. Which of the following are true statements? I. - 33% < - II. 0.5 > 20% III. 75% > A. I only B. I and II only C. II only D. II and III only

16. What scale factor was used to dilate the red square to the green.

17. The two octagons above are similar. What scale factor was used to dilate the octagon on the left to the octagon on the right? 3 in 21.6 in

18. Before frame was made, the molding was a total of 240 inches long. 180 in 60 in Mrs. Eschbach has a piece of art that measures 180 inches by 60 inches. She has a piece of molding from which she will build a frame. The molding is a total of 240 inches. By what scale factor will the original piece of art be reduced in order to fit the new frame?

19. Triangle ABC is similar to triangle EFG. What is the length of EF? AB C E F G 5 in. 10 in 2.5 in ?

20. A right triangle is shown below. If the triangle is dilated by a scale factor of what will be the PERIMETER of the new triangle. 15 cm 39 cm

21. Josh is purchasing a present for his parents anniversary. The price before tax is $25.45. If the tax rate is 7.25%, what is the total amount he will pay for the gift?

22. AB C D A'A'B'B' C'C' D'D' What scale factor was used to dilate rectangle ABCD to rectangle A'B' C' D'

23. 0%100% Give a reasonable estimate for a percentage represented by point B. Give a reasonable estimate for a percentage represented by point A. Give a reasonable estimate for a percentage represented by point C. ABC

24. Draw a dilation of the triangle using a scale factor of ¼ with the origin as the center of dilation. A BC

25. The two prisms below are similar. What is the width, x, of the smaller prism? 5 meters x 4 meters 3.5meters

26. A bag of lollipops contains 8 grape, 6 strawberry, and 11 green apple. If 2 lollipops are taken from the bag at random, what is the probability that both of them will be grape?

27. What is the probability of spinning a 5 and rolling a number greater than2?

28. Mr. Jones is playing a game with his class. He will spin one time at the end of class. If the spinner lands on a multiple of three, the class gets to leave a minute early. After 3 days the class still had not been allowed to leave early. What is the probability that the class will NOT leave early after 3 more school days?