Number Patterns 1

36, 49, 64

1, 4, 9, 16, 25, _____, _____, _____

Finish the pattern Rule: Add 31 77, __, __, __

108, 139, 170

18, 13, 20

12, 7, 14, 9, 16, 11, ____, ____, ____

Complete the tables for this input/output machine. Input (+12) Output 305 310 315 320 325

317 322 327 332 337

What is the next number in this pattern? 64, 56, 48, 40, __

32

Finish the pattern Rule: Add 16 21, __, __, __

37, 53, 69

Write the next five terms in each pattern: 25,29,30,34,35,___,___,___,___,___

39, 40, 44, 45, 49

add 3 to the number before

A number pattern is shown below. 1, 4, 7, 10, ? The pattern continues. Which rule could be used to find the next number in the pattern?

subtract 10 from the number before

A number pattern is shown below. 190, 180, 170, 160, ? The pattern continues. Which rule could be used to find the next number in the pattern?

Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 36, 72, 144, 288, 576, ___, ___, ___, ___ Pattern Rule is:

1152, 2304, 4608, 9216 Multiply by 2 each time

Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 3, 9, 27, 81, ___, ___, ___, ___ Pattern Rule is:

243, 729, 2187, 6561 Multiply by 3 each time

Input/output machine Input (+8) Output 17 16 15 14 13 12 11

25 24 23 22 21 20 19

add 5 to the number before

Mark created the number pattern below. 85, 90, 95, 100, 105, ?Which rule could Mark have used to create the number pattern?

1, 2, 34

0, 1, _____, _____, 3, 5, 8, 13, 21, _____

729

9, 27, 81, 243, _____, 2,187, 6,561

How many days will it take Ivo to practice a total of 15 hours?

15 hours x 60 minutes divided by 25 minutes per day or 15 x 60 divided by 25 = 36 days

Write the next five terms in each pattern: 3,4,6,9,13,___,___,___,___,___

18, 24, 31, 39, 48

What is the next number in this pattern? 18, 24, 30, 36, __

42

What is the next number in this pattern? 86, 82, __, 74, 70

78

subtract 50 from the number before

A number pattern is shown below. 200, 150, 100, 50, ? The pattern continues. Which rule could be used to find the next number in the pattern?

subtract 5 from the number before

A number pattern is shown below. 26, 21, 16, 11, ? The pattern continues. Which rule could be used to find the next number in the pattern?

add 15 to the number before

A number pattern is shown below. 30, 45, 60, 75, 90, ? The pattern continues. Which rule could be used to find the next number in the pattern?

What is the rule for this pattern? 42, 40, 38, ...

Subtract 2

What are the missing numbers in the pattern? 1, 4, __, 64, __, 1,024

16, 256

93

44, 51, 58, 65, 72, 79, 86, _____, 100

6

1, 3,_____, 10, 15, 21, 28, 36, 45

Predict how many books 10 boxes will hold.

To predict the number of books in boxes will hold, multiply: 10 x 15 = 150 10 boxes for Home 150 books.

What is the rule for this pattern? 2, 4, 8, 16, 32...

Multiply by 2

How many minibusses are needed for 170 students?

170 students divided by 18 = 170 divided by 18 = 9 with a remainder of 8

How many students can ride in 25 minibusses?

25 x 18 = 450

add 2 to the number before

A pattern of numbers is shown below. 4, 6, 8, 10, ... The pattern continues. Which rule could be used to find the next number in the pattern?

multiply the number before by 2

A pattern of numbers is shown below. 6, 12, 18, 24, ? The pattern continues. Which rule could be used to find the next number in the pattern?

Look at the table. Write the number and the operations in each machine. Input Output 840 42 800 40 760 38 720 36 680 34

Divide by 20

The table shows the input/output from a machine. Write the number and operation for the machine. Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

Divide by 3

What is the rule for this pattern? 1, 5, 25, 125, 625...

Multiply by 5

Finish the pattern Rule: Add 75 20, __, __, __

95, 170, 245

What are the missing numbers in the pattern? 270, _____, 30,_______, 3.33

90, 10

subtract 7 from the number before

A number pattern is shown below. 33, 26, 19, 12, ? The pattern continues. Which rule could be used to find the next number in the pattern?

subtract 15 from the number before

A number pattern is shown. 150, 135, 120, 105, 90, ? The pattern continues. Which rule describe show to find the next number in the pattern?

What are the missing numbers in the pattern? 3, 6, __, 24, __, 96, 192

12, 48

12.5, 6.25, 3.125

200, 100, 50, 25, ______, ______, ______

How many minutes does Ivo practice in 10 days.

25 x 10 = 250

2, 9, 0

6, 13, 4, 11, _____, _____, _____

64, 125

1, 8, 27, _____, _____, 216, 343, 512, 729

Look at the tables in question 16 and 17. Write the pattern rule for each group of terms. The output numbers in 16 The input numbers in question 17

1. Start at 25 and subtract 1 2. Start at 40 and subtract 4

Input/output machine Input (divide by 4) Output 40 36 32 28 24 20 16

10 9 8 7 6 5 4

How many students can ride in 10 minibusses

10 x 18 = 180

Write the first 5 terms of as many different patterns as you can that start with the terms19, 24, ...

19, 24, 29, 34, 39, 44, 49 or 19, 24, 22, 27, 25, 30, 28 or???

One box holds 15 books. How many books will 2 boxes hold? 3 boxes? 4 boxes? Make a table.

2 boxes hold 30 books. 3 boxes hold 45 books. 4 boxes whole 60 books.

Start at 2, Alternately add 6, then subtract 2.

2, 8, 6, 12

Write the next five terms in each pattern: 16, 19, 17, 20, 18, ___,___,___,___,___

21, 19, 22, 20, 23

Finish the pattern Rule: Divide by 3 63, ___, ____, ____

21, 7, 2.3 (2 R1)

What are the missing numbers in the pattern? 15, 30, _____, 60, _____, 90

45, 75

What is the next number in this pattern? 21, 28, 35, 42, __

49

Write the 6th term of each pattern. a) Start at 500. Alternatively add 50, then subtract 15.

500, 550, 535, 585, 570, 620 620 is the 6th term

Write the 6th term of each pattern. c) Start at 763. Subtract 13 each time.

750, 737, 724, 711, 698, 685 685 is the 6th term

Complete the tables for this input/output machine. Input (-11) Output 93 90 87 84 81

82 79 76 73 70

Write the 6th term of each pattern. b) Start at 85. Add 7. Increase the number you add by 3 each time.

85, 92, 102, 115, 131, 150 150 is the 6th term

Write the 6th term of each pattern. d) Start at 97. Alternatively subtract 9 then add 2.

88, 90, 81, 83, 74, 76 76 is the 6th term

Ivo practices the guitar 25 minutes every day. Make a table to show how many minutes I will practices in one week.

Day # of minutes 1 25

What is the rule for this pattern? 300, 150, 75, 37.5, 18.75

Divide by 2

Start at 999. Write the first 7 terms of a pattern. Write the pattern rule.

review your answer

Predict the cost of 10 tickets

10 x 11 = 110

122, 80, 52

150, 136,_____, 108, 94, _____, 66, _____, 38

Extend the pattern. How many tickets can you buy with $155?

155 divided by 11 = 14 with $1 remaining

Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. a) 100, 125, 120, 145, 140, ___, ___, ___, ___ Pattern Rule is:

165, 160, 185, 180 Pattern Rule: Start at 100 add 25 then subtract 5

24, 30, 33

3, 6, 12, 15, 21, ____, ____, ____

Finish the pattern Rule: Multiply by 3 1, __, __, __

3, 9, 27

How many minutes will Ivo practice in November?

30 x 25 = 750

What is the next number in this pattern? 37, 49, 61, __, 85

73

What are the missing numbers in the pattern? 97, 86, __, 64, 53, __, 31

75, 42

Write the pattern rule for the cost.

Start at 11 and add 11 each time

The table shows the input/output from a machine. Write the Pattern rule for the input numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

Start at 3456 and add 75 each time

22, 17, 10

53, 46, 41, 34, 29, _____, _____, _____

Write the first 4 terms of each Pattern. Start at six. At seven each time.

6, 13, 20, 27

Finish the pattern Rule: Subtract 15 90, __, __, __

75, 60, 45

How many hours is that?

750 minutes divided by 60 = 12.5 hours

Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 85, 81, 90, 86, 95, ___, ___, ___, ___ Pattern Rule is:

91, 100, 96, 105 Pattern rule is start at 85 subtract 4 then add 9

What is the rule for this pattern? 1, 2, 4, 7, 11, 16

Add 1, add 2, add 3, add 4, ...

What is the rule for this pattern? 13, 16, 19, 22, 25...

Add 3

What is the rule for this pattern? 35, 40, 45, 50...

Add 5

Look at the table. Write the number and the operations in each machine. Input Output 11 143 20 260 29 377 38 494 47 611

Multiply by 13

One concert ticket costs $11. Complete the table to find the cost of 7 tickets. Number of tickets Cost ($) 1 2 3 4

Show me

One minibus holds 18 students. Make a table to show how many students can ride in 6 minibuses.

Show work Minibus Students 1 18 2 3 4 5 6

The table shows the input/output from a machine. Write the Pattern rule for the output numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252

Start at 1152 and add 25

Write a pattern rule for the number of students.

Start at 18 and add 18 each time