2. 8, 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item. [A] 5 and 4 [B] 5 and 10 [C] 7 and 6 [D] 9 and 10

Transcription

1 Identify the missing number in the pattern. 1. 3, 6, 9, 12, 15,? [A] 17 [B] 12 [C] 18 [D] , 6, 4, 2, 0,? [A] 2 [B] 2 [C] 3 [D] 1 [E] New Item 3. Look for a pattern to complete the table [A] 5 and 4 [B] 5 and 10 [C] 7 and 6 [D] 9 and Find the missing numbers in the pattern below. 2, 4, 8, 14, 22, 32,?, 58, 74,?, Look at the figure below. Draw the next three tiles. 6. Describe a pattern in the figures. 7. Describe a pattern in the numbers. a. 3, 6, 12, 24, 48, 96,... b. 11, 22, 33, 44, 55, 66,...

2 8. The table shows the number of students that are enrolled in a geometry class at Eastlake High School. Year Students How many students would you expect to be enrolled in 2008 if the pattern continues? 9. Give the next two numbers in the pattern. 3, 9, 27, 81, How many dots will be in the eighth figure? Fig. A Fig. B Fig. C 11. Which is the correct conjecture and statement? 2 8 = = = ,222 8 = 17, 776 [A] The product of a number consisting of The next product is 711,116. [B] The product of a number consisting of next product is 711,116. bn 1g 2s and consists of, 8 1 n 1 b g 7s, and 6. bn 1g 2s and 8 consists of 1, n 7s, and 6. The [C] The product of a number consisting of n 2s and 8 consists of 1, n 7s, and 6. The next product is 177,776. [D] The product of a number consisting of The next product is 177,776. n 2s and 8 consists of 1, n 1 b g 7s, and 6.

3 12. Conjecture: The square of an odd number is always? = 1 5 = 25 9 = = 9 7 = = 121 [A] prime [B] a multiple of 3 [C] odd [D] even 13. Show the conjecture is false by finding a counterexample. Conjecture: The product of two numbers is always greater than their sum. 14. Determine if the conjecture is true or false. If it is false, find a counterexample. Conjecture: If three sides of a four-sided shape have equal lengths, then the fourth side has the same length. [A] False [B] False [C] False [D] True 15. If the pattern indicated below continues, what will be the total number of cubes in the 7th stage of the pattern? = = 14 [A] 64 [B] 140 [C] 8 [D] Determine if the following conjecture is true or false. If it is false, select the answer that gives a convincing counterexample. If the sum of the digits of a number is divisible by 3, then the number is divisible by 6. [A] False; 1+ 2 = 3; 3 is divisible by 3 but 12 is not divisible by 3. [B] False; = 12; 12 is divisible by 6 and 66 is divisible by 6. [C] True [D] False; 1+ 5 = 6; 6 is divisible by 3 but 15 is not divisible by 6.

4 17. The two lists below give some examples of numbers which have a certain property and numbers which do not. Do: 7, 11, 17, 22, 29, 38, 41,... Do not: 4, 12, 16, 20, 28, 36, 44,... Which conjecture could be true about the numbers which have this property? [A] Numbers which have this property are not multiples of 4. [B] Numbers which have this property are perfect squares. [C] Numbers which have this property are multiples of 4. [D] Numbers which have this property are perfect cubes. 18. Which of the following points are collinear? B F A E J K I C D G H [A] I, J, K [B] F, K, G [C] A, I, C [D] G, H, D 19. Name the line and plane shown in the diagram. Use three points contained by the plane to identify the plane. R T U S [A] R and plane RSU [B] RS and plane UR [C] SR and plane UT [D] RS and plane RSU

5 20. Name three points that are collinear. J K H G F I [A] H, K, J [B] I, G, K [C] G, J, I [D] F, G, I 21. Decide whether the statement is true or false. S lies on line h. P Q R S g h 22. Name three points in the diagram that are not collinear. I O M J P L K N 23. A? has three dimensions. [A] point [B] line [C] plane [D] none of these

6 24. What is needed to determine a plane? [A] 4 points [B] 2 points [C] 5 points [D] 3 points 25. A page of a book is most similar to what geometric figure? [A] plane [B] line segment [C] ray [D] point Refer to the figure below. A B C G D E F 26. Name the intersection of AG and DE. [A] Point G [C] Point E [B] Point F [D] AG and DE do not appear to intersect. 27. Name the intersection of AD and BG. [A] Point A [C] Point G [B] Point B [D] AD and BG do not appear to intersect.

7 28. What kind of geometric intersection does the map suggest? [A] The intersection of 2 lines with another line [B] The intersection of lines with a plane [C] The intersection of two planes 29. Find the word or words that best complete the sentence. Two planes? meet in more than one point. [D] There are no intersections in the map. [A] always [B] sometimes [C] never [D] not enough information Sketch the figure described, or state that it is impossible. 30. Two planes that intersect. 31. Three planes that intersect in one line. 32. Two lines that intersect in exactly two points. 33. Two planes that intersect a line at the same point.

8 [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17]

9 [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33]

10 Reference: [ ] [1] [C] Reference: [ a] [2] [A] Reference: [ ] [3] [D] Reference: [ ] [4] 44, 92 Reference: [ ] [5] Reference: [ ] [6] The number of sides increases by two. Reference: [ ] a. Each number after the first is double the previous number. [7] b. Each number after the first is 11 more than the previous one. Reference: [ ] [8] 520 Reference: [ ] [9] 243, 729 Reference: [ ] [10] 22 Reference: [ ] [11] [D]

11 Reference: [ ] [12] [C] Reference: [ ] [13] Answers will vary. Sample answer: 1 1 = 1 < 1+ 1 = 2. Reference: [ ] [14] [A] Reference: [ ] [15] [B] Reference: [ ] [16] [D] Reference: [ ] [17] [A] Reference: [ ] [18] [B] Reference: [ ] [19] [D] Reference: [ ] [20] [B] Reference: [ ] [21] true Reference: [ ] [22] Answers will vary. Sample answer: I, O, and K

12 Reference: [ ] [23] [D] Reference: [ ] [24] [D] Reference: [ ] [25] [A] Reference: [ ] [26] [B] Reference: [ ] [27] [D] Reference: [ ] [28] [A] Reference: [ ] [29] [B] Reference: [ ] [30]

13 Reference: [ ] [31] Reference: [ ] [32] impossible Reference: [ ] [33]