Third Nine Weeks Study Guide

SOL 5.3 Prime and Composite Numbers

  1. Which of these is a prime number?
  1. 27b. 39 c. 33 d. 29
  1. How many numbers from this group are composite numbers?

14 / 15 / 16
24 / 25 / 26
34 / 35 / 36
  1. 0 b. 6 c. 8 d. 9
  1. Which number in this group is prime?

15, 21, 23, 27
  1. 15 b. 21 c. 23 d. 27
  1. Which of the following best describes why 18 is an even number?
  1. It is a composite number.
  2. It is a whole number.
  3. It is divisible by two.
  4. It is divisible by six.
  1. Which group of numbers contains only prime numbers?
  1. 47, 48, 49, 50
  2. 12, 24, 48, 50
  3. 3, 19, 23, 43
  4. 2, 3, 7, 8

SOL 5.90 Rules of Divisibility

  1. Identify the number(s) below that are divisible by 5.

33 / 41 / 10 / 16
85 / 60 / 28 / 79
  1. Which divisibility rules can be used for the number 450?
  2. Divisible by 2, 5, 10 only
  3. Divisible by 2, 3, 5 only
  4. Divisible by 2, 3, 5, 6, 9, 10 only
  5. Divisible by 2, 5, 6, 9, 10 only

  1. Which number is divisible by 10?

  1. 350

  1. 305

  1. 4,349

  1. 1,005

  1. Which division problem will have a remainder?

Problem 1 / 427 ÷ 5
Problem 2 / 320 ÷ 5
Problem 3 / 224 ÷ 2
Problem 4 / 328 ÷ 2
  1. Problem 1 b. Problem 2 c. Problem 3 d. Problem 4

  1. Which description matches this set of three numbers?
42 30 24
All numbers in this set are --
  1. Divisible by 10 and 5

  1. Divisible by 10 and 3

  1. Divisible by 3 and 5

  1. Divisible by 3 and 2

SOL 5.2 Comparing Fractions and Decimals

  1. Which decimal is equivalent to ?
  2. 0.20b. 0.25c. 0.10 d. 0.50
  3. Which list of numbers is ordered from least to greatest?

, , 0.50, 0.80
  1. , 0.50 , 0.80,
  2. 0.50, ,, 0.80
  3. 0.50, 0.80,,
  4. 0.50, ,
  1. 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 52 feet tall. Which student is the tallest?

3

  1. Sasha
  2. Lee
  3. Janiya
  4. Todd
  1. 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?
  1. 0.5, ¼, 5/8, 0.6C. 5/8, 0.6, 0.5, ¼
  2. ¼, 0.5, 0.6, 5/8D. ¼, 0.5, 5/8, 0.6
  1. Which decimal goes in the blank so that this list is in order from least to greatest

¼, 0.375, ½, _____, ¾

  1. 0.4C. 0.75
  2. 0.625D. 0.875

SOL 5.6 Adding and Subtracting Fractions

  1. At West Elementary School of the students in fifth grade are in Ms. Smith’s class, and of the students in fifth grade are in Mr. Almont’s class. What fraction of the fifth graders at West Elementary are there in Ms. Smith’s and Mr. Almont’s class altogether?
  1. 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 Velvet / Strawberry
Amount Served / 3 / 1 ¾ / 2 ½

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

  1. 2 b. 3 c. 6 d. 7
  1. This chart shows the number of feet John jumped during a 3 day track meet.

John’s Jumping Chart

Day / Height of Jump (in feet)
1 / 2 feet
2 / 1 feet
3 / ½ foot

What is the total number of feet John jumped on these three days of competition?

  1. 3 b. 4 c. 4 d. 5
  1. Find the difference. 6 ½ - = (show all work below)
  1. Joseph started with 6 2/3 cups of water and drank 3 ¼ cups all at once. How much water does he have left? (show work below)

SOL 5.18 – Variables and Expressions

  1. Mary has 3 pairs of red gloves and 5 pairs of green gloves. Which number sentence would be used to find the total number of gloves she has?
  1. a= 3 × 5
  2. 5 ÷a= 3
  3. 3 + 5 = a
  4. a - 3 = 5
  1. If p represents a number, which of the following expressions means 10 more than that number?
  1. 10p
  2. 10 ÷ p
  3. p + 10
  4. 10 - p
  1. If n represents a number, which of these means the same as the expression n +6
  1. Six less than a number
  2. Six more than a number
  3. Six divided by a number
  4. Six times a number

Key
= n
= 1
  1. Mr. Pulley wrote this equation on the board.

6 + n = 13

He drew a model of this equation using this key
Draw the model of Mr. Pulley’s equation in the space below.

  1. Bella took all the books out of a box and arranged them on two shelves. He put the same number of books on each shelf. If b represents the number of books that were in the box, which of the following could be used to find the number of books Bella put on each shelf?
  1. b + 2 = ?
  2. b – 2 = ?
  3. 2b= ?
  4. b ÷ 2 = ?
  1. Which equation matches the model shown here = =

Key
= n = -n
= 1 = -1
  1. n– 1 = 5
  2. 1 – n = 5
  3. n + 1 = 5
  4. 1 + n = 5
  1. For his birthday, Martin brought in23 red velvet cupcakes to share equally among his classmates. Which is the variable in this situation?
  2. The number of classmates who will receive a cookie
  3. The number of cookies that Martin brought to school
  4. The color of the cupcakes
  5. The flavor of the icing

SOL 5.19 –Distributive Property

  1. Which equation shows the distributive property?
  2. 9 × 5 = 5 × 9
  3. 9 × 1 = 9
  4. (9 × 5) × 7 = 9 × (5 ×7)
  5. (9 × 5) + (9 × 7) = 9 × (5 + 7)
  6. Which expression is equal to5 × (1 + 4)?
  7. 5 × (1 + 4) = (5 × 1) + (5 × 4)
  8. 5 × 1 = 1 × 5
  9. 1 × 5 = 5
  10. 5 × (1 × 4) = (5 × 1) × 4
  11. Which expression shows how you can evaluate2 × 48 using the distributive property?
  12. (2 × 4) + (2 × 8)
  13. (2 × 40) + (2 × 80)
  14. (2 × 40) + (2 × 8)
  15. (2 × 40) × (2 × 8)
  16. Distribute the following expression3 × (8 + 7)

SOL 5.7 – Order of Operations

  1. Based on the order of operations, which shows the first step in simplifying this expression? 36 – (4 + 8 × 2) ÷ 4
  1. 36 – 4
  2. 4 + 8
  3. 8 × 2
  4. 36 ÷ 4
  1. What would 15 + 24 ÷ (8 – 2) look like after completing the first step?
  1. 15 + 3 - 2
  2. 15 + 24 ÷ 6
  3. 39 ÷ (8 – 2)
  4. 15 + 24 ÷ 10
  1. Solve the following expression: 50 – 5 × (27 ÷ 3)
  1. What is the value of this expression?

8 + 2(5 - 1)

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

20 ÷ 2 + 5(8 + 2 ×9)

  1. 20 ÷ 2
  2. 8 + 2
  3. 2 × 9
  4. 2 + 5

SOL 5.4/5.5 Single and Multistep Word Problems

  1. DeAndre earns money by mowing grass in the neighborhood. The chart shows how much money he earned and spent for the last 3 months.

Month / Money
Earned / Money
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?

  1. A waiter had nine tables he was waiting on, with seven women and threemen at each table. How many customers total did the waiter have?
  1. 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?

  1. 5.90 c. 5.01
  2. 4.01 d. 4.99
  1. 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?
  2. $1.65 b. $ 16.50 c. $165.00 d. $1,650.00
  1. Sneakers cost $87.00. If you save $10.00 a week, how many weeks will it take to buy the shoes?
  2. 8 weeks b. 9 weeks c. 10 weeks d. 11 weeks
  1. 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?
  2. $1026.30 b. $513.15 c. $505.00 d. $51.35
  3. Sheila bought 8 notebooks for $2.75 each. How much did she pay in all?
  1. Anne bought a movie ticket for $12.50, a box of popcorn for $3.25, and a large drink for $2.50. If she pays with a fifty dollar bill, how much change should she get back from the cashier?
  1. 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?