2. Sunken Number Patterns M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as □ and Δ. M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as □ and Δ.

3. Level One >>>> >>>> <<<< <<<<

4. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets A. 348 A. 348 B. 508 B. 508 C. 428 C. 428 D. 429 D. 429 What is the missing number in this sequence? sequence? 28, 128, 228, 328, ___, 528 $200

5. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $400 Olivia is planting rows of flowers. She is planting the same number of flowers in each row. How many flowers in total are planted in 7 rows? A. 46 A. 46 B. 49 B. 49 C. 50 C. 50 D. 52 D. 52

6. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $600 What is the missing number in this sequence? 17, 26, 35, 44, ?, 62 A. 54 A. 54 B. 60 B. 60 C. 53 C. 53 D. 49 D. 49

7. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $800 What is the missing number in this sequence? 69, 58, 47, ?, 25 A. 36 A. 36 B. 30 B. 30 C. 48 C. 48 D. 29 D. 29

8. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $1000 What is the next number in the sequence? 1, 4, 16, 64, ? A. 68 A. 68 B. 104 B. 104 C. 86 C. 86 D. 256 D. 256

9. Level Two >>>> >>>> <<<< <<<<

10. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $2000 Which expression can be used to figure out the number that goes into the empty box in the table? A. n 3 A. n 3 B. n + 6 B. n + 6 C. n x 3 C. n x 3 D. n - 3 D. n - 3

11. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $4000 Which number goes in the empty space below? A. 21 A. 21 B. 30 B. 30 C. 33 C. 33 D. 31 D. 31

12. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $6000 Which numerical expression can be used figure out which number goes in the empty space in the table? A. n 13 A. n 13 B. n - 13 B. n - 13 C. n + 26 C. n + 26 D. n + 13 D. n + 13

13. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $8000 What is the rule for this number sequence? 93, 83, 73, 63, 43,... A.Each number in the Each number in theEach number in the sequence is divisible by sequence is divisible by 3. B. Each number in the B. Each number in the sequence is 10 more than sequence is 10 more than the previous number. the previous number. C. Each number in the C. Each number in the sequence is 11 less than sequence is 11 less than the previous number. the previous number. D. Each number in the D. Each number in the sequence is 10 less than sequence is 10 less than the previous number. the previous number.

14. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $10000 What is the missing number in the sequence? 95, 90, 85, 80, 75, ___, 65 A. 76 A. 76 B. 70 B. 70 C. 60 C. 60 D. 62 D. 62

15. Level Three >>>> >>>> <<<< <<<<

16. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets A. $1 A. $1 B. $4 B. $4 C. $5 C. $5 D. $20 D. $20 The pictograph shows the amount of money each 4 th grade class raised for an animal shelter. If Mr. Powell’s class raised $20 and Mr. Roper’s class raised $30, how much money does one represent? $20000

17. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $40000 If the pattern to the left continues, how many blocks are needed to make 6 steps? A. 15 A. 15 B. 21 B. 21 C. 18 C. 18 D. 23 D. 23

18. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $60000 On a test, Hannah scored 8 points higher than Todd. On the same test, Hannah scored 7 points lower than Juanita. Based on the information given, which of the following must be true? A. J < T A. J < T B. H > J B. H > J C. T < J C. T < J D. J < H D. J < H

19. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $80000 The table shows the number of milligrams of sodium in each of three different sizes of a soft drink. Based on the pattern in the table, what is the total number of milligrams of sodium in a 24-fluid ounce cup of the soft drink? A. 108 mg A. 108 mg B. 90 mg B. 90 mg C. 144 mg C. 144 mg D. 126 mg D. 126 mg

20. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $100000 Follow the pattern, “divide by 4, then subtract 4”, then subtract 4”, to complete the table below. A. 8 A. 8 B. 11 B. 11 C. 10 C. 10 D. 12 D. 12

21. Level Four >>>> >>>> <<<< <<<<

22. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $200000 Eddie counted the number of cars in different parking lots. 42, 30, 12, 36, 18, 24, 72 What is true about Eddie’s data? A.All of the numbers are All of the numbers areAll of the numbers are multiples of 4. multiples of 4. B. All of the numbers are B. All of the numbers are multiples of 5. multiples of 5. C. All of the numbers are C. All of the numbers are multiples of 6. multiples of 6. D. All of the numbers are D. All of the numbers are multiples of 7. multiples of 7.

23. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $400000 The first ten shapes in a pattern are shown below. Michael is making the pattern by repeating the first six shapes in the same order as shown in the picture. If Michael continues the pattern, what will be the 16 th shape in the pattern? A. B. D. C.

24. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $600000 The first four figures in a pattern are shown. If the pattern continues to double the number of dots, what will be the total number of dots in the 6 th figure in the pattern? A. 64 A. 64 B. 32 B. 32 C. 128 C. 128 D. 14 D. 14

25. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $800000 The chart below shows the number of line segments needed to draw a given number of squares. How many line segments are needed to draw 11 squares? A. 40 A. 40 B. 42 B. 42 C. 38 C. 38 D. 44 D. 44

26. >>>> >>>> <<<< <<<< Divers HelpHint Hand Half Surfers HelpHint Hand Half Safety Nets $1000000 What is the rule for this sequence of numbers? 196, 100, 52, 28, 16, 10, 7 A.divide by two, divide by two,divide by two, add four add four B. divide by 2, add 2 B. divide by 2, add 2 C. divide by 2, C. divide by 2, subtract 2 subtract 2 D. divide by 4, add 2 D. divide by 4, add 2

27. Congratulations! You’ve recovered the sunken millions.