Third Nine Weeks Study Guide s1

Third Nine Weeks Study Guide

SOL 5.3 Prime and Composite Numbers

1. Which of these is a prime number?

a. 25 b. 49 c. 73 d. 60

2. How many numbers from this group are composite numbers?

13 14 15 16 17 18 19 20 21 a. 0 b. 6 c. 8 d. 9

3. Which number in this group is prime?

18, 21, 35, 47 a. 18 b. 21 c. 35 d. 47

4. Which of the following best describes why 24 is an even number?

a. It is a composite number. c. it is divisible by two

b. It is a whole number. d. it is divisible by six

5. Which group of numbers contains only prime numbers?

A. 47, 48, 49, 50

B. 12, 24, 48, 50

C. 3, 19, 23, 43

D. 2, 3, 7, 8

6. Which sentences below correctly describes this group of numbers?

77 78 79 87 88 89 A. Exactly four of the numbers are odd.

B. Exactly four of the numbers are even. C. Exactly four of the numbers are prime.

D. Exactly four of the numbers are composite.

7. Circle all the numbers that are prime in the list below. 0, 1, 9, 23, 31, 85, 51, 89

SOL 5.90 Rules of Divisibility

8. Identify the number(s) below that are divisible by 2.

33 41 10 16 85 60 28 79

9. Which divisibility rules can be used for the number 3,690?

a. Divisible by 2, 5, 10 only

b. Divisible by 2, 3, 5 only

c. Divisible by 2, 3, 5, 6, 9, 10 only

d. Divisible by 2, 5, 6, 9, 10 only

10. Which number is divisible by 3?

a. 350 c. 4,349 b. 305 d. 1,007

11. Which division problem will have a remainder?

Problem 1 425 ÷ 5 Problem 2 320 ÷ 5 Problem 3 226 ÷ 2 Problem 4 329 ÷ 2 a. Problem 1 b. Problem 2 c. Problem 3 d. Problem 4

12. Which description matches this set of three numbers? 54 60 108 All numbers in this set are -- a. Divisible by 10 and 5 c. Divisible by 3 and 5 b. Divisible by 10 and 3 d. Divisible by 3 and 2 SOL 5.2 Comparing Fractions and Decimals

13. Which fractions and decimals below are greater than ?

1.6 0.5

14. Identify each decimal and fraction pair that are equivalent.

0.625 = 0.20 = 0.375 = 1.3 =

15. Put the following fractions in order from greatest to least. , , ,

16. Which decimal is equivalent to ?

a. 0.20 b. 0.25 c. 0.10 d. 0.50

17. Which list of numbers is ordered from least to greatest?

, , 0.50, 0.80

a. , 0.50 , 0.80,

b. 0.50, ,, 0.80

c. 0.50, 0.80,,

d. 0.50, , 18. Which group of numbers is listed in order from least to greatest?

A) , , , C) , , ,

B) , , , D) , , ,

19. Students were comparing their heights. Sasha is 5 ½ feet tall, Luke is 5 ¼ feet tall, Janiya is 5 ¾ tall, and Todd is 5 2 feet tall. Which student is the tallest? 3

a. Sasha c. Janiya

b. Luke d. Todd

20. Carla bought 0.5 yard of blue fabric, ¼ yard of red fabric, 5/8 yard of green fabric, and 0.6 yard of white fabric. Which amounts of fabric are ordered from least to greatest? A. 0.5, ¼, 5/8, 0.6 C. 5/8, 0.6, 0.5, ¼ B. ¼, 0.5, 0.6, 5/8 D. ¼, 0.5, 5/8, 0.6

21. Which decimal goes in the blank so that this list is in order from least to greatest , 0.375, , _____, A. 0.4 C. 0.75 B. 0.625 D. 0.875 SOL 5.6 Adding and Subtracting Fractions 22. Mr. Tice bought two bags to split between two groups of friends. One group ate of one bag of candy and the other group ate of the other bag of candy. What was the total amount of candy eaten?

23. The list shows the weight of three different types of vegetables that Robbie bought.

 Potatoes weighed 5 pounds

 Corn weighed 4 ½ pounds

 Carrots weighed 1 ¼ pounds The total weight of the vegetables that Robbie bought is ______.

24. Evie has a total of 12 cakes to sell. This table shows the amount of cake Evie has already sold.

Evie’s Cakes

Cake Chocolate Red Strawberry Velvet Amount 3 1 ¾ 2 ½ Served

Which mixed number represents the total number of cake Evie has left to sell?

a. 2 b. 4 c. 6 d. 7

25. Kevin ran 2 miles on Saturday and another of a mile on Sunday. How many miles total did he run over the weekend?

26. Find the difference. 6 - = (show all work below)

27. A recipe calls for 8 ½ cups of sugar. Mia only has 3 cups of sugar and must borrow the rest from her neighbor. How much sugar will she need to borrow? ______

28. Joseph started with 6 cups of water and drank 3 cups all at once. How much water does he have left? (show work below)

SOL 5.19 –Distributive Property

29. Which equation shows the distributive property?

a. 9 × 5 = 5 × 9

b. 9 × 1 = 9 c. (9 × 5) × 7 = 9 × (5 ×7)

d. (9 × 5) + (9 × 7) = 9 × (5 + 7)

30. Which expression is equal to 5 × (1 + 4)?

a. 5 × (1 + 4) = (5 × 1) + (5 × 4)

b. 5 × 1 = 1 × 5

c. 1 × 5 = 5

d. 5 × (1 × 4) = (5 × 1) × 4

31. Which expression shows how you can evaluate 2 × 48 using the distributive property?

a. (2 × 4) + (2 × 8)

b. (2 × 40) + (2 × 80)

c. (2 × 40) + (2 × 8)

d. (2 × 40) × (2 × 8)

32. Distribute the following expression 3 × (8 + 7)

33. Which equation shows the distributive property of multiplication over addition?

A. (4 x 5) + (4 x 6) = (5 x 4) + (6 x 4)

B. 4 (5 + 6) = (4 x 5) + (4 x 6)

C. 4 x 5 x 6 = 6 x 5 x 4

D. 4 x (5 x 6) = (4 x 5) x 6

SOL 5.7 – Order of Operations

34. Based on the order of operations, which shows the first step in simplifying this expression? 36 – (4 + 8 × 2) ÷ 4

a. 36 – 4 c. 8 x 2

b. 4 + 8 d. 36 ÷ 4

35. What would 15 + 24 ÷ (8 – 2) look like after completing the first step? a. 15 + 3 – 2 c. 39 ÷ (8 - 2)

b. 15 + 24 ÷ 6 d. 15 +24 ÷ 10

36. Solve the following expression: 50 – 5 × (27 ÷ 3)

37. Evaluate. 45 – 10 ÷ 5 + 3

A. 10 B. 40 C. 44 D. 46

38. Based on the order of operations, which shows the first step in simplifying this expression?

20 ÷ 2 + 5(8 + 2 × 9)

a. 20 ÷ 2 b. 2 x 9 c. 8 + 2 d. 2 + 5

SOL 5.4/5.5 Single and Multistep Word Problems

39. DeAndre earns money by mowing grass in the neighborhood. The chart shows how much money he earned and spent for the last 4 months.

Month Money Money Earned Spent May $ 19.81 $7.62 June $25.25 $21.50 July $14.50 $11.80 August $47.75 $18.55

What is the difference between the amount of money DeAndre earned and the amount of money he spent during June, July and August?

40. A wedding planner has booked a banquet room for 1,334 wedding guests. Each table can fit a party of 15 people. About how many tables does the wedding planner need to have at the event so that every person has a place to sit at a table?

A. 89 B. 88 C. 87 D. 86

41. Xavier bought 3 bags of potatoes. The total weight of all the potatoes combined is 15.49 pounds. This table shows the weight of the potatoes in two bags.

Bags of Potatoes Bag Weight (in pounds) X 5.63 Y ? Z 4.87 What is the weight of the potatoes in bag Y?

a. 5.90 c. 5.01

b. 4.01 d. 4.99

42. Mr. Jones needed three hundred sheets of paper. He found paper priced at $5.50 for one hundred sheets. How much would three hundred sheets cost?

a. $1.65 b. $ 16.50 c. $165.00 d. $1,650.00

43. Sneakers cost $87.00. If you save $10.00 a week, how many weeks will it take to buy the shoes? a. 8 weeks b. 9 weeks c. 10 weeks d. 11 weeks

44. Chris and James are roommates. Both roommates share the cost of every bill equally each month. For the month of February the electric bill was $325.75, water bill was $75, grocery bill was $125.55 and the rent was $500. How much did each roommate pay for the month of February, if they split the total cost equally?

a. $1026.30 b. $513.15 c. $505.00 d. $51.35

45. The chart below shows the amount of two kinds of chocolate chips Gayle needs to make a batch of cookies

Types of Chocolate Chips Cups of Chocolate Chips Milk 4 Dark 2 What is the total amount of chocolate chips needed to make the batch of cookies? Simplify, if needed.

46. Jennifer needs 12 yards of yarn to make her hat. Her friend, Cameron gave her 2 yards of yarn on Saturday and another 4 yards on Sunday. How many more yards of yarn does Jennifer need to finish making her hat?

47. Solve: 22.8 – 4.93 = ? ______

48. Tom is delivering a total of 25,000 books to several book stores. This table shows the number of books he has delivered to Barnes & Noble and Borderless.

Books Already Delivered

Store Number of Books Barnes & Noble 12,452 Borderless 4,135 What is the total number of books that Tom still needs to deliver to the other book stores?

A. 8,413 B. 12,548 C. 16,587 D. 20,865