Patterns and Relationships
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- Clement Atkins
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1 Name: Patterns and Relationships Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What are the next three numbers in this pattern? 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 2 a. 1, 1, 2 b. 1, 2, 3 c. 2, 3, 1 d. 3, 1, 1 2. Lori is decorating the top of the math bulletin board. She is using a pattern of shapes the class has studied. What are the next three shapes in the pattern? a. c. b. d. 3. A candle shop sells candles in different shapes. The owner of the shop displays some of the candles in a row according to a pattern. What are the next three candle shapes in the pattern? a. b.
2 c. d. 4. What three numbers complete the pattern? 5, 9, 13, 17,,, a. 21, 25, 29 b. 20, 23, 26 c. 19, 21, 23 d. 21, 17, Presidential elections are held every 4 years. There were Presidential elections held in 1980, 1984, 1988, and What years were the next three Presidential elections held? a. 1998, 2002, 2006 c. 1996, 2000, 2004 b. 1995, 1999, 2003 d. 1994, 1998, Linda is making costumes for the school play. The list below shows the total yards of cloth she used after making each costume. How many yards of cloth will she have used after she makes one more costume? 6, 11, 16, 21 a. 25 b. 26 c. 27 d What is a rule for the pattern below? 53, 50, 47, 44, a. Add 5. b. Subtract 4. c. Add 3. d. Subtract Chip made this table that shows the amount of money he earns for different numbers of hours he babysits. How much does Chip make when he babysits for 5 hours? Hours of Babysitting a. $36 Amount Earned 3 $ $63 9 $81
3 b. $40 c. $45 d. $54 9. A clothing store has all T-shirts on sale for the same price. This table shows the total price for different numbers of T-shirts. What is the total price of 7 T- shirts? Numbers of T-shirts a. $32 b. $36 c. $40 d. $42 Total Price 5 $ $54 11 $ A store sells bags of apples, each the same weight. This table shows the total number of pounds of apples for different numbers of bags. What is the total weight, in pounds, of 8 bags of apples? a. 35 b. 40 c. 45 d Each math team has the same number of students. What rule can be used to find the number of students in 3 math teams? a. Add 18. b. Multiply by 3. c. Multiply by 4.
4 d. Subtract Each necklace has the same number of beads. What rule can be used to find the number of beads in 5 necklaces? a. Add 3. b. Add 14. c. Multiply by 7. d. Multiply by Abdul earns the same amount each hour. What rule can be used to find the number of hours Abdul works in order to earn $72? a. Subtract 32. b. Divide by 9. c. Divide by 8. d. Add Lamont is planning a square vegetable garden. He wants to completely enclose the garden with fencing. How many feet of fencing will he have to buy if he decides to make each side of his garden 9 feet long? a. 18 b. 36
5 c. 54 d Tara is making picture frames from wood. All of the frames she makes have the same height. How many inches of wood will she need to make a frame that is 8 inches long? a. 16 b. 20 c. 24 d Sherry is tiling a border on her kitchen floor. How many tiles will she need if the border is going to be 7 feet long? a. 28 b. 30 c. 35 d Ana is growing tomatoes, beans, and peppers in her garden. There are 25 vegetable plants in all. 8 of the plants are tomato plants. There are 10 more bean plants than pepper plants. How many pepper plants are in Ana s garden? a. 3 c. 7 b. 5 d At a track meet, competitors could win gold, silver, or bronze medals. Johnson High School s track team won a total of 20 medals. Four of the medals were gold. There were three times as many silver medals as bronze medals. How many bronze medals did the track team win? a. 4 b. 6
6 c. 8 d There are 30 books in a bookcase. The books in the bookcase are either math, science, or history books. Ten of the books are math books. There are 6 fewer science books than history books. How many science books are in the bookcase? a. 5 b. 7 c. 9 d Avram has 16 tiles. Five tiles are white tiles. There are 3 more blue tiles than red tiles. How many red tiles does Avram have? a. 2 b. 3 c. 4 d What are the next three numbers in this pattern? 3, 2, 5, 7, 3, 2, 5, 7, 3, 2 a. 2, 5, 7 b. 3, 2, 5 c. 7, 3, 5 d. 5, 7, Mark decorated his book cover with a pattern using the letters of his name. What are the next three letters in the pattern? MARKMARKMAR a. MAR b. ARK c. RKM d. KMA 23. This is a pattern made by turning a triangle. What are the next three figures in this pattern?
7 a. b. c. d. 24. What are the next three numbers in the pattern? 5, 7, 9, 11,,, a. 13, 11, 9 b. 14, 17, 20 c. 12, 14, 16 d. 13, 15, Tickets for a raffle were numbered in the following way: 716, 712, 708, and 704. Use the pattern. What are the next three ticket numbers? a. 700, 696, 692 c. 703, 699, 695 b. 702, 698, 694 d. 720, 724, What is a rule for the pattern below? 1, 3, 9, 27, a. Add 2. b. Subtract 3. c. Multiply by 3. d. Divide by These are the outdoor temperatures after each hour on a summer evening. Use the pattern. What temperature belongs in the box? a. 70 b. 69 c , 73, 71,, 67
8 d At a book fair, all the books had the same price. This table shows the total price for different numbers of books. What is the total price of 10 books? a. $30 b. $33 c. $40 d. $ This table shows the number of people who can fit in different numbers of bumper cars. How many people can fit into 6 bumper cars? a. 3 b. 6 c. 9 d All of the cans of soup in Alyssa s cabinet have the same number of ounces. This table shows the number of ounces in different numbers of cans of soup. How many ounces of soup are in 4 cans? a. 14 b. 18 c. 20 d. 24
9 31. Each box contains the same number of markers. What rule can be used to find the number of markers in 9 boxes? a. Add 15. b. Multiply by 6. c. Multiply by 7. d. Add Natalie reads the same number of pages each hour. What rule can be used to find the number of hours it takes Natalie to read 42 pages? a. Subtract 12. b. Divide by 7. c. Divide by 6. d. Add Each bag holds the same weight of onions. What rule can be used to find the number of bags that hold 27 pounds of onions? a. Multiply by 2. b. Divide by 3. c. Divide by 4. d. Add Dee is using wire to make triangles of different sizes. The triangles will be hung from the ceiling for her school s annual math day. How many inches of wire will she need to make a triangle with sides that are 11 inches long?
10 a. 24 b. 33 c. 36 d Georgina is going to make six-sided figures in different sizes for a mural. Each figure will have sides with equal lengths. She wants to outline each figure with glow tape. How many inches of glow tape will she need for a figure whose sides are 8 inches long? a. 28 b. 36 c. 42 d Kathy is laying square carpet tiles in her hallway. How many carpet tiles will she need if her hallway is 9 feet long?
11 a. 18 b. 24 c. 27 d Pasha is making diamond shapes in different sizes from pieces of wire. The diamonds will be used to decorate the stage in the school auditorium. How many inches of wire will Pasha need to make a diamond with sides that are 12 inches long? a. 60 b. 48 c. 36 d Eduardo has a deck of 26 cards. The cards in the deck are either red, green, or blue. Seven of the cards are red. There are 5 more green cards than blue cards. How many blue cards are in the deck? a. 5 b. 7 c. 12 d There are 16 pieces of fruit in a box. Six are oranges. The rest are peaches and pears. There are 6 more peaches than pears. How many pears are in the box? a. 6 b. 4 c. 3 d There are 18 cans of juice in a refrigerator. Three are cans of apple juice. The rest are cans of orange juice and grape juice. There are 7 fewer cans of
12 orange juice than grape juice. How many cans of orange juice are in the refrigerator? a. 4 b. 5 c. 6 d. 7 Other 41. Nina earns the same amount of money each week for babysitting. Week Amount of $9 $18 Savings Explain the pattern. Then complete the table. 42. Norma has a piece of rope that is 1 meter long. She is cutting the rope to make pieces 10 centimeters long. 1 meter = 100 centimeters Complete the table. Number of pieces Length of rope 100 cm 90 cm 80 cm Explain how the length of the rope changes as each piece is cut.
13 43. Look for the pattern. In Out Describe the rule. Then write the missing numbers to complete the table. 44. Albert planted six rows of flowers. The first three rows are shown here. Row number Number of flowers What is the pattern? How many flowers will be in the 4th row? flowers
14 45. Look at the table below. There is more than one way to complete it. In Out 12???? What is an addition rule that would work for the table? Complete the table below using your addition rule. In Out 12 What is a multiplication rule that would work for the table? Complete the table below using your multiplication rule. In Out Look at the pattern in the table below. In Out Complete the table. Explain the rule.
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