1. Given that in the figure below,
, which congruency proves that there are congruent triangles?

2. Are the following triangles similar?

3. Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. To buy frosting for CAKE B, what is the total area of cake surface that Nina needs to cover, to the nearest square inch?

4. What are the coordinates of the orthocenter of the triangle?

5. A rectangle has a diagonal of 30 units and divides the figure into two congruent 30-60-90 triangles. What is the length of the short side and the long side of the rectangle?

6. Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. She is going to buy frosting to cover each cake but first needs to know the amount of surface she will cover. What is the total area of cake surface that Nina needs to cover CAKE A, to the nearest square inch?

7. What is the area of the part of the larger circle not taken up by the smaller black circles, if the area of the larger circle is
cm² ?

8. A cube has a volume of 64 cubic feet. What is the surface area of this cube?

9. Given triangle CAT with vertices C (6, 3), A (0, 6), and T (1, -1), find the equation of the median passing through A .

10. What is the length of line segment QR , given Q (-2, -3) and R (-4, -5)?

11. Which of the following lines are parallel to
?

12. The following dartboard is made of one large circle with a circumference of
inches and a smaller inner circle with a circumference of
inches, divided into eight equal sectors. What is the probability of hitting the section of the dartboard labeled A, to the nearest hundredth?

13. The students in a classroom are arranged in five rows of five. There are five students that must always sit in the front row. How many different ways can the teacher arrange these students' desks?

14. Using the table below, of the students that were surveyed, how many speak a second language?

15. What does the value of x have to be to make these lines parallel and the transversal perpendicular to both of them, if
and
?

16. The Newton High School Cheerleaders are making megaphones for a big game. The megaphone is a large cone, with a very small cone removed in order to shout the cheers through and amplify one's voice. Using the dimensions of the right triangles of cones in the figure below, identify the height of the smaller cone.

17. Ana is going to have a birthday party at the local ice-skating rink. She is only going to invite girls from her class. There are seven girls in the class, but her parents say she can only invite four people. How many combinations of friends can she invite?

18. Given A (6, 5), B (2, -2), C (5, -2), and D (9, 1), classify quadrilateral ABCD .

19. Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. One container of frosting costs $3.98 and covers 150 square inches of cake. How much money must Nina spend in total to frost both of the cakes?

20. Using the table below, what is the relative frequency of women who prefer country music to all the people surveyed, to the nearest tenth?

21. From a deck of cards that has a length of
inches, you take two cards and lean them together to create an equilateral triangle. What is the height of the triangle?

22. The following cone is being filled with water at a rate of
cubic inch per second. How long will it take to fill the cone?

23. A circle has a circumference of
units. If it has an arc with length
units, what is the measure of the central angle of the arc in degrees?

24. Are the following triangles similar?

25. Using the table below, how many men were surveyed?