Shape and Number Pattern
Input-Output Tables
Factor Pairs and Multiples
Prime and Composite Numbers
100

What shape comes next in the pattern: Circle, Square, Circle, Square, ________?

Circle
100

If you input the number 1 and the output is 3, what could be the two possible rules?

Multiply by 3 or Add 2

100

What are the factor pairs of 12?

1, 12

2, 6

3, 4

100

Is the number 7 prime or composite?

Prime

200

If a triangle is added to a pattern of squares, how many sides do the shapes have in total?

7

200

Fill in the table: 

Rule: Multiply by 2

Input            Output

  1                 ____

  2                 ____

  3                 ____

Input            Output

  1                 _2_

  2                 _4_

  3                 _6_

200

List all the multiples of 6 up to 30.

6, 12, 18, 24, 30

200

What are the first five prime numbers?

1, 2, 3, 5, 7

300

What is the next 3 numbers in the sequence: 2, 4, 6, 8, _?

10, 12, 14

300

Create an input-output table with a rule that adds 5 to the input number.

Rule: Add 5

Input          Output

  1                 _6_

  2                 _7_

  3                 _8_

300

What is a factor pair for the number 30?

1, 30

2, 15

3, 10

5, 6

300

Explain why the number 9 is a composite number.

3 x 3 and 1 x 9

400

Write a number pattern that starts with 3 and ends with 15, increasing by 3 each time.

3, 6, 9, 12, 15

400

If the input is 4 and the output is 12, what could the rule be?

Multiple by 3

Add 8

Multiply by 4, subtract 4

400

If 5 is a factor of a number, what are the other possible factor pairs for that number?

1, 10; 2, 5   or  [1, 20; 2,10; 4, 5]

(1,15; 3, 5)  or {1,30; 2, 15; 3, 10; 5, 6}

400

Is the number 63 prime or composite?

Composite

500

Explain the rule of a number pattern that includes the numbers: 5, 10, 15, 20, _.

The rule is increase by 5 or add 5. 

500

Design an input-output table for the rule "subtract 2" and give three examples.

Input           Output

____            _____

____           ______

____           ______

***Answers may vary

500

Find two numbers that are both multiples of 4 and 6. What are they?

2, 12, 24, 36, 48...

500

Identify whether 25 is a prime or composite number and explain your reasoning.

Composite. Answers may vary.