Possible Answer:
A number that is multiplied by another number to find a product.
100
Fill-in-the-blanks:
"A number is ______________ ____ another number when the quotient is a counting number and the remainder is zero."
divisible by
100
What is the definition of a "prime number"?
Possible Answer:
A whole number greater than 1 that has only two factors: 1 and itself.
100
What is a "pattern"?
Possible Answer:
An ordered set of numbers or objects in which the order helps you predict what will come next.
100
What are the first 10 numbers of the "Fibonacci Number Pattern"?
1, 1, 2, 3, 5, 8, 13, 21, 34, 55
200
What is the definition of a "multiple"?
Possible Answer:
The product of a given whole number and another number.
200
True or False:
All even numbers are divisible by 2.
(Please explain.)
True...all even numbers are divisible by 2 as confirmed by the "divisibility rules."
200
What is the definition of a "composite number"?
Possible Answer:
A whole number greater than 1 that has more than two factors.
200
Find a rule, then find the missing numbers in the pattern.
47, 52, 51, 56, 55, 60, 59, _____, _____
The rule is:
add 5, subtract 1
The missing numbers are:
64, 63
200
Maria is stringing beads to make a bracelet. She put a red bead, blue bead, blue bead, red bead, blue bead, and blue bead on the string. What color will the next two beads be?
The next two beads on Maria's bracelet will be red and blue.
300
List all the factors of the number 42.
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
300
The Knitting Club knitted 135 squares. They are sewing the squares together to make blankets for the patients at a hospital. Can they make 5 equal-sized blankets?
(135 is divisible by 5.)
Yes, they can make 5 equal-sized blankets out of the 135 squares.
300
List the first five prime numbers (starting with 2.)
2, 3, 5, 7, and 11
300
Use the rule to make a number pattern. Write the first four numbers in the pattern.
The rule is: Divide by 2.
Start with the number 24.
The first four numbers in the pattern are:
24, 12, 6, 3
300
A student is passing out programs in the auditorium. She places the first program on the second chair, and then puts a program on every third chair. On which chair does she place the fifth program?
She places the fifth program on the 14th chair.
400
What factors of 48 are also multiples of 4?
Factors of 48 and multiples of 4:
4, 8, 12, 16, 24, 48
400
True or False:
All numbers that are divisible by 10 are also divisible by 2.
(Please explain.)
True.
(Possible explanation: Numbers are divisible by 2 if the last digit is even, and all numbers ending in 0 are even.)
400
Part 1: Explain how prime and composite numbers are alike/similar.
Part 2: Explain how prime and composite numbers are different.
Alike/Similar:
Both prime and composite numbers have 1 and that number as factors.
Different:
Prime numbers only have two factors (1 and itself), and composite numbers have more than two factors.
400
Use the pattern 6, 9, 12, 15. What is a rule for the pattern if the next number in the pattern is 18?
The rule is: Add 3.
400
Peter started an exercise program. On the first day, he did 5 pushups. On the second day, he did 10 pushups. On the third day, he did 15 pushups. If the pattern continues, how many pushups will Peter do on the sixth day?
On the sixth day, Peter will do 30 pushups.
500
Explain how you would use a number line to find the "common multiples" for 3 and 4.
Possible Answer:
Skip-count by 3's making a mark at each 3rd number (multiples of 3). Then, skip-count by 4's making a mark at each 4th number (multiples of 4). The common multiples would be any place on the number line with two marks at the same number.
500
True or False:
All numbers that are divisible by 5 are also divisible by 25.
(Please explain.)
False.
(Possible explanation: All numbers that have the last digit as 0 or 5 are divisible by 5. Only numbers that end in 00, 25, 50, or 75 are divisible by 25.)
500
Is 51 a prime or composite number?
(If composite, list the factors.)
The number 51 is a composite number.
It's factors are: 1, 3, 17, 51.
500
Explain how you can tell by looking at a pattern that a rule for the pattern might have two operations.
Possible Answer:
The numbers in the pattern increase and decrease.
500
How many blocks are needed to build a stair-step pattern that has a base of 20, a height of 20, and where each step is one block high and one block deep?
210 blocks are needed to build this stair-step pattern.