O B. 2~ O C. 294 OD.~4. Number Theory 1. Which of these numbers is divisible by 2? ob.g O A. 1,739 O B. 3,355 O C. 6,104 O D. 8,885 O A. 53 O A.

Transcription

1 Number Theory 1. Which of these numbers is divisible by 2? A. 1,739 B. 3,355 C. 6,104 D. 8, What is the greatest common factor (GCF) of 12 and 78? B, 36 D. 12 :3. Which of the following numbers is a composite number? A. 53 ob.g C. 67 D Which of the following is a multiple of 2 and 6? A, 61 B. 85 c. 84 D What is the least common multiple (LCM) of 21 and 14? A. 42 B. 2~ C. 294 D.~4 12, Which of the following numbers is a composite number? A, 71 B. 79 C. 97 D. 9S

2 Wha[ type of transformation is shown in the figure? 0 A. Stretching 0 B. Reflection 0 C. Rotation 0 D. Translation 10. What type of transformation is shown in the figure? A. Rotation B. Reflection C, Translation D. Stretching ii, What type of transformation is shown in tt]e figure above? 0 A, Stretching 0 B. Translation (_~ C. Rotation () D. Reflection 12. What type of transformation is shown in the figure? A. Reflection () B. Stretching () C, Translation D, Rotation

3 Algebraic Expressions 1, If n = 8, what is the value of 4 x n? A,~2 B. 24 c. 16 D, Joe has 65 baseball cards in his collection. He will receive more baseball cards on his birthday, but he doesn t know how many. If he receives C baseball cards on his birthday, which of the following expressions represents the number of baseball cards in Joe s collection after his birthday? A, 65xC B. 6S- C C. 65 +C (_~ D165 +C 3. Rafael is wrapping presents for his sister s birthday party, but he is unsure how many feet of wrapping paper is left on the roll. it takes 1.4 feet of wrapping paper to wrap each gift. If Rafael has a total of P feet of wrapping paper on the roll, which of the following expressions represents the number of presents he can wrap? A,I.4xP B.P+ 1.4 c P D.P ]If n = 45, what is the value of n + 5? 0A, 11 0 B. 40 C. 9 U Takahiro is planning a party. He has 36 brownies for his guests. If G guests show up and eat the same number of brownies, which of the following expressions represents the number of brownies each guest will eat? (Assume that no brownies are left over at the end of the party.) A. 36- G B. 36 x G C, 36 +G D. 36--: G

4 Which of the following shapes are similar to the one above? W, A. W and X B, X C.Y D.Z 6, Determine the best ending to the sentence below. Two isosceles triangles are similar if A. one set of corresponding angles have the same measure 1~. the two sides of equal length are proportional C, the bases of the triangles are the same length D. the height of the triangles are the same length Which of the following shapes is similar to the one above? A.W B.X C.Y D.Z

5 2-Dimensional Figures Which of the following shapes is shown above? (~) A. square () B. parallelogram (~ C. rectangle f,~ D. trapezoid 2. Which of the following is a quadrilateral that will always have 4 equal sides and 4 right angles? (~) A. square 0 B. trapezoid 0. rhombus 0 D. rectangle Which of the following statements describes the shape above? (_) A. The shape has both parallel and perpendicular lines. B. The shape has parallel but not perpendicular lines. (~) C. The shape has perpendicular but not parallel lines. D. The shape has neither parallel nor perpendicular lines. 4, Which quadrilateral below could have four different angle measures? C} A. rectangle B. rhombus C. square D. trapezoid

6 3-Dimensional Figures Which shapes are needed to construct a cylinder? A. 2 circles and I triangle B. 2 circles and 2 rectangles C, 2 circles and 1 rectangle 13. :[ circle and :~ rectangle How many edges does this object have? A,~2 B. I 0c. 8 D. 6 3, Which of the following best describes a figure in which the base is a square and the lateral faces are triangles? Hint: The lateral faces of an object are the faces that are not bases. 0 A, triangular prism 0 B, triangular pyramid 0 C. square prism 0 D. sqi~are p~ramid 4. Which figure below has bases that are triangles and lateral faces that are rectangles? Hint: The lateral faces of an object are the faces that are not hases.

7 prime number has exactly two factors, 1 and itself These numbers are primes. The number 2 is the first prime number and the only even prime number. Its factors are 1 and 2. (~) A composite number has at least three factor~, 1, itself, ~nd one other factor. Many composite numbers have more than three factors These numbers are composites. The factors of 4 are 1, 4, and 2. The factors of 12 are 1, 2, 3, 4, 6, and 12. (~) A number is div s b!e, or can be divided evenly, by any number that is a factor. A number is divisible by-- o 2 if the ones digit is 0, 2, 4, 6, or ,798 o 3 if the sum of the digits is divisible by 3. 8,634 -~ =21 -~ 21 +3=7 o 5 if the ones digit is 5 or 0. 2,815 17,986,320 * 9 if the sum of the digits is divisible by 9. 21,942 --) ) 18+9=2 o 10 if the ones digit is ,170 The Continental Press, Inc. Do not duplicate.

8 Read each problem, Circle the letter of the best answer. How many numbers between 1 and 100 are divisible by 5 and by 10? A 9 B 10 C 18 D 20 4 Which of these is a composite number? 5 F 15 G 17 H 23 J 29 How many of the numbers on this sign are divisible by 3? :"Welcome to Laketown! Established: 1793 Elevation: 1,347 feet 2 Which of these is a prime number? F 33 G 35 H 37 J 39 3 Which of these numbers is divisible by 5? A 6,270 B 6,352 C 6,501 D 6,557 Population: 8,634 A 0 B 1 C 2 D 3 6 Which set contains only prime numbers? F {2, 3, 4} G {3,5,6} H {4,6,8} J {5,7, 11}

9 Read each problem. Circle the letter of the best answer. 2 3 Look at this number sentence. 2+5i-18-1 Which symbol makes the sentence true? A = B > C D x Tremaine had $19. He spend d dollars on lunch, and had $11 left. Which number sentence could you solve to find the value of d? $19 + d = $11 d - $t9 = $11 $19 - d = $11 $19 + $11 = d Barb earns $5 an hour cutting grass. She worked h hours and made a total of more than $45. Which number sentence could you solve to find the number of hours Barb worked? A h x $5 > $45 B $45 - h > $5 C h x $5 < $45 D $45 - h < $5 4 What is the value of m in this equation? 6 7 F H 15 J 66 6m = 72 Look at this number sentence. : 10 x 4i-] Which symbol makes the sentence true? A > B < C x D = Thomas is 2 years older than Lisa, who is younger than 12. If Thomas is y years old... which number sentence shows the relationship between his age and Lisa s? F y+ 2>12 6 y-2>12 H y+2<12 J y-2<12 What is the value of z in this equation? A 16 B 4 C 3 D 2 24 z=8 The Continental Ress, Inc. Do not duplicate.

10 Read each problem. Write your answers. 8 Look at this number sentence. 4xSF]50-18 Part A Write the number sentence using the symbol that makes it tr0e. Part 4 X 8 = Use what you know about number sentences to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation..~ " 9 Look at this equation. 8n = 448 Part A Solve the equation for n. Part B Use what you know about solving equations to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. The Continental Press, Inc. Do not duplicate.

11 Read each problem. Circle the letter of the best answer. I Which statement below is true? A B Parallel lines sometimes intersect at right angles. Parallel lines sometimes form 2 sides of a triangle. C Parallel lines are always the same length. D Parallel lines are always the same distance apart. Arlo drew an 80 angle. Which of the following angles could it be? 2 Look at this figure. 4 What is true about the diagram? Park Drive What plane figures could have been combined to make this pentagon? triangle and a square hexagon and a square triangle and a pentagon square and a hexagon G 14 Park Drive and 6th Avenue are parallel. Park Drive and 5th Avenue are perpendicular. Center Street and Park Drive are perpendicular. 6th Avenue and Center Street are parallel. The Continental Press, Inc. Do not duplicate.

12 Read each problem. Circle the letter of the best answer. A quadrilateral has 4 right angles. What kind of quadrilateral must it be? A square B C rhombus rectangle B trapezoid 3 How do you know the figure ~hown here is a trapezoid? A It has4 sides. B C D It has 4angles. It has only 1 pair of parallel sides, It has 2 pairs of perpendicular sides. A quadrilateral has two pairs of parallel sides. What kind of quadrilateral must it be? square 2 Which figure shows a rhombus that does not have equal angles? G rectangle rhombus J parallelogram Which statement about a parallelogram not true? A tt always has 4 sides. B C B It always has 4 angles. It always has parallel sides. It always has perpendicular sides. IS ~e Continental Press, Inc. Do not duplicate,

13 Read each problem. Circle the letter of the best answer. A solid has 8 edges. What kind of solid must it be? A triangular prism B C D rectangular prism triangular pyramid rectangular pyramid 4 5 How many vertices does a rectangular prism have? F G H J Which of these solids is a triangular pyramid? 2 Look at this solid. What is the name of this solid? triangular prism rectangular prism triangular pyramid rectangular pyramid 3 Len cut out these plane figures. What solid could he make using them? oo[ A cube B C D cone cylinder sphere Keiko will make a triangular prism using a set of plane figures. Which set could she use? F G H 2 triangles and 3 rectangles 1 triangle and 4 rectangles 4 triangles and 1 rectangle.i 3 triangles and 1 rectangle ~ Me Contlnental Press, Inc. Do not duplicate.

14 Read the problem. Write your answer for each part. 9 Justin cut out the net for a solid shown below. He will fold it along the dashed, lines to make a solid. Part A What is the name of the solid Justin can make with the net? Part B o Use what you know about solids to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. Identify the number of f~ces, edges, and vertices Justin s solid will have. Use what you know about solids to explain why your answer is correct. Use words, numbers andlor symbols in your explanation. The Continental Press, Inc. Do not duplicate.

15 Read each problem. Circle the letter of the best answer. 1 Which pair of figures are similar? 4 Which pair of figures are similar? B o H 2 Which figure is similar to ~? 5 Which figures are similar? 3 Which triangle is similar to triangle EFG? E G F A 1 and 2 B 9 and 4 C 1 and 4 D 2 and ~e Continental Press, Inc. Do not duplicate.

16 Read each problem. Write your answers. 6 Look at the figures below. Part A Which of these figures are similar? Figures 1, 2, and 4 are similar. Part B Use what you know about similar figures to #xplain why your answer is correct. Use words, numbers, and/or symbols in your explanatioh. 7 Look at the figures to the right. Part A How many of the figures are similar? Part B Use what you know about similar figures to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. The Continental Press, Inc. 13o not duplicate.

17 Read each problem. Circle the letter of the best answer. Look at the figure below. Look at the triangle on this grid. ~/ Which describes how the shaded figure was moved from position.1 to position 2? A translation up B C D translation down reflection across line I rotation 180 around pointx Which grid shows the result of translating the triangle 3 units down? A,/ B 2 Look at this figure. P I C s Which describes how triangle PQR could be moved to the position of triangle RST? F translation down 6 reflection across line segment QT H J rotation 90 around point R rotation 180 around point R D The Continental Press, Inc, Do not duplicate.

18 Read each problem. Write your answers. 4 Look at the trapezoids on this coordinate plane. Part A Explain how trapezoid 1 was moved to make trapezoid 2. Trapezoid! 1 was transiate~ 4 units up. Part B Use what you know about transformations to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. _/_ 5 Look at the triangle on this coordinate plane. Part A \ Suppose the triangle is rotated 90 counterclockwise around point R n the plane~ draw the triangle in its new position. P Part B Use what you know about rotations to explain how you knew where to draw the triangle. Use words, numbers, and/or symbols in your ~e Continental Press, Inc. Do not duplicate.

19 Read each problem. Circle the letter of the best answer. A bakery produces 810 loaves of bread a day. How many loaves will it produce in 23 days? A 1,620 loaves B C D 4,050 loaves 18,630 loaves 19,730 loaves What is the product of 56 x 529? A 29,524 B 29,624 C 31,874 D 254,624 4 A certain model of dishwasher sells for $375 at one store. The store sold 42 of these dishwashers this month. What were the total sales on this model of dishwasher? F $2,250 6 $13,660 2 A truck driver drove 932 miles on a delivery route one week. If he drove this route for 6 weeks, how many miles did he drive? 14 $15,750 J $150,750 F 5,482 miles 6 5,592 miles H 6,642 miles J 54,192 miles The Continental Press, Inc. Do not duplicate.

20 Read each problem. Write your answers. 5 Nadine is reading a series of adventure books. There are 12 books in the series. Each book has 128 pages. Part A When Nadine has finished the series, how many pages will she have read? Part B - 1,536 pages Use what you know about multiplying whole numbers to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. hotel room rents for $250 a day. It is booked every day in a month of days. Part A How much money will be taken in on the room for that month? Part El Use what you know about multiplying whole numbers to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. The Continenta! Press, Inc. Do not duplicate.

21 Read each problem. Circle the letter of the best answer. 1 Mrs. Vong needs 356 square tiles to cover 4 the family,room floor. The tiles come in boxes of 12. How many boxes does Mrs. Vong need? A 27 F B 28 G C 29 H D 30 Troy has saved 489 pennies. He exchanged them for quarters. If his mom gave him a quarter for every 25 pennies, how many quarters did Troy get? J In a.~:lean-up drive, 32 people collected 2,752 empty cans. What was the average number of cans collected per person? A 86 B 91 2 Curtains for 5 windows cost a total of $545. What was the cost of curtains per window? C 806 D 926 F $19 G $109 H $119 J $190 3 At a farm, 756 melons were picked this week. The melons were shipped in boxes that held 18 melons. How many boxes were filled? A B C D The Continental Press, Inc, Do not duplicate.

22 Read each problem. Write your answers. 6 Martin s family went to visit his grandmother. They drove 372 miles today in 6 hours. Part A What was their average speed per hour?- 62 miles per hour Part IB Use what you know about dividing whole numbers to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation. 7 Look at this division problem. Part A Find the quotient. 6, =? Part Ig Use what you know about dividing whole numbers to explain why your answer is correct. Use words, numbers, and/or symbols in your explanation.