Factors and Divisibility
Prime and Composite Numbers
Numerical Expressions
Simplify Numerical Expressions
Grouping Symbols
100
Which number is divisible by 2, 3, and 6?
60
100
Four boys compare the numbers on their football jerseys. Parker has the number 55. Nick has 47. Marshall has 16, and Leon has 9. Whose jersey has a prime number?
NICK
100
Which expression shows the cost of one adult admission ticket and 9 thrill ride tickets?
$15 + (9 × $3)
100
Mrs. Harrison writes a numerical expression on the board that has a value of 16. Which expression does Mrs. Harrison write?
18 + 13 − (5 × 3)
100
Which expression has a value of 1?
A) 30 + [(9 × 2) + (4 × 3)]
B) 30 ÷ [(9 × 2) + (4 × 3)]
C) 30 − [(9 × 2) + (4 × 3)]
D) 30 × [(9 + 2) − (4 + 3)]
B
200
Jo Beth organizes 63 party favors into gift bags. She places the same number of favors in each bag. How could she arrange the favors?
7 OR 9
200
Harlan played her favorite game app three times this morning. In each game, the number of points she scored was a prime number. When she adds the points for the three games together, the sum is also a prime number. Which of these might be her scores?
29, 19, 23
200
Bandar and Courtney each paid $12 for admission. They bought 14 thrill ride tickets. Which expression shows their cost? 
(2 × $12) + (14 × $3)
200
Omar wants to simplify the expression below. What should be his first step?
6 × (3 + 9) − 5
Add 9 to 3.
200
Which expression has a value equal to the value of the expression
4 × [(12 + 4) − (12 ÷ 3)]?
A. (4 × 12) + 4
B. 4 × (16 − 4)
C. 4 + (12 × 4)
D. 4 × 12 + 4
B
300
A package of marbles contains 20 blue marbles, 38 red marbles, 48 green marbles, and 16 yellow marbles. Which color of marbles can be divided evenly between 6 people?
GREEN
300
Esteban made a list of prime numbers less than 40. He listed the numbers in order from least to greatest. Which number did Esteban put on his list after 29?
31
300
. Riley bought a child admission ticket and 6 funland ride tickets. He used a coupon for a $5 discount. Which expression shows Riley’s total cost?
$12 + (6 × $2) − $5
300
Which is the value of the numerical expression below?
30 ÷ (3 + 2) × 8
48
300
[(21 − 13) + (32 − 24)] × 4
64
400
The fifth-grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?
21
400
Carolyn found that the difference between two prime numbers is a composite number. Which could be the prime numbers?
23, 19
400
Tim buys three 6-packs of apple juice boxes and five 4-packs of cranberry juice boxes for his party. Write an expression to match the words. How many boxes of juice does Tim buy?
(3 × 6) + (5 × 4)
38 boxes
400
Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2
20
400
[(2 × 6) + 3] + [35 − (7 × 3)]
29
500
The librarian has 94 books to organize. He wants to put 5 books on some shelves and 6 books on other shelves. How could he arrange the books?
Have 8 shelves of 5 books, and 9 shelves of 6 books.
500
Trisha spins a spinner. The pointer lands on three prime numbers. She says the sum is less than 12. Which could be the numbers?
2, 3, 5
500
The classroom has 12 chairs on the right side of the room, 15 chairs on the left, and 9 chairs stacked in the back. Mrs. Kim wants to divide the chairs evenly into 3 groups. Which expression represents the situation?
(12 + 15 + 9) ÷ 3
500
Kalani and Porter each simplified one of the expressions below. If they add their results together, what will be their sum?
Kalani: 4 × 11 − 5 + 12
Porter: 4 × 11 − (5 + 12)
78
500
The school math coach takes an inventory of math materials. He counts the materials for 5 different classes. Each class has 7 boxes of 10 pattern blocks, 6 boxes of 9 rulers, and 3 boxes of 2 calculators. Write the expression that shows the number of math materials?
5 × [(7 × 10) + (6 × 9) + (3 × 2)]
600
A group of 72 students went on a field trip. The students traveled in vans, with an equal number of girls and boys in each van. If 42 boys went on the trip, how many vans were there?
6
600
Felix found the sum of two prime numbers and one composite number to be 45. The difference between the greatest and least number is 4. Which could be the three numbers?
13, 17, 15
600
Mr. Richardson is driving to a town 85 miles away. He drives 35 miles per hour for 2 hours before stopping for lunch. He drives 6 more miles and stops for gas. Which expression shows how many miles Mr. Richardson has left to drive?
85 − (35 × 2) − 6
600
Nicole simplified the expression below. Then she multiplied the value of the expression by 5. What is Nicole’s product?
36 + 6 ÷ 3 + 2
200
600
At the beginning of the year, the teacher’s supply closet contained 250 markers. In September, 5 sets of 6 black markers, 4 sets of 5 red markers, and 6 sets of 3 yellow markers are used. Write the expression that shows the number of markers left?
250 − [(5 × 6) + (4 × 5) + (6 × 3)]