Section A-1
Section A-2
Section B-1
Section B-2
Challenge!
100

Find the area:



18

100

Find the area:


28

100

Pens are sold in packages of 5 and also in packages of 6.

Jada wants to buy 60 pens for her class. Which packages of pens and how many should Jada buy if she doesn't want any extras? Explain or show your reasoning.

  • 10 packages of 6 pens, because 10x6=60 and that’s fewer packages than 12 packages of 5.
  • 12 packages of 5 pens, because her classmates are seated in groups of 5.
100

Find the factor pairs of 36.

1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6 

200

On the grid, draw a rectangle whose area is represented by each expression.

  1. 3x5
  2. 4x8



200

Tyler wants to build a rectangle with an area of 20 square units using square tiles.

  1. Can Tyler build a rectangle with a width of 4 units?

Yes, a rectangle with a width of 4 units and a length of 5 units has 20 square units in it

200

Pens are sold in packages of 5 and also in packages of 6.

Han wants to buy 55 pens for his class. Which packages of pens and how many should Han buy? Explain or show your reasoning.

  • 11 packages of 5 pens, because 11x5=55.
  • 10 packages of 6 pens, but he will end up with 5 extra pens, because 10x6=60.
200

How many factors does 36 have?

9

300

Tyler wants to build a rectangle with an area of 20 square units using square tiles.

Can Tyler build a rectangle with a width of 6 units?

  1. No, if the width is 6 and the length is 3, that means using 18 square tiles, and if the length is 4, that means using 24 square tiles.
300

List the factor pairs of each number. Is each number prime or composite? Explain or show your reasoning.

  1. 37
  2. 27
  3. 77
  1. Prime, because the only factor pair is 1 and 37.
  2. Composite, because it has the factor pairs 1 and 27 and also 3 and 9.
  3. Composite, because it has the factor pairs 1 and 77 and also 7 and 11.
300

List the factors of 15.

1, 3, 5, 15

300


Select all numbers that are multiples of 8.

A:  16

B:  28

C:  40

D:  54

E:  66

F:  72

G:  84

H:  96

A, C, F, H

400


  1. Rectangle A is 5 units by 7 units, so its area is 5x7 or 35 square units. Rectangle B is 8 units by 4 units, so its area is 32 square units. Rectangle C is 9 units by 7 units, so its area is 63 square units. Rectangle D is 3 units by 7 units, so its area is 21 square units.
400

How did you use multiplication facts to calculate the areas?

To find the area of each rectangle, I multiply the side lengths and that calculation uses multiplication facts. 

400

List the multiples of 2 up through 30.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

400

List the multiples of 3 up through 30.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

400

Which number(s) from 1 to 100 have the largest number of factors? Explain or show how you know.

The numbers 60, 72, 90, and 96 all have 12 factors each. For example, the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. So do 60, 72, and 90.

500

You want to arrange all of the students in your class in equal rows.

How many rows can you have? 

How many students would be in each row?

11 rows of 2 

or

2 rows of 11

500

You want to arrange all of the students in your class in equal rows.

What if you add the teacher to the arrangement? How would your rows change?

One row of 23, OPTIMUS PRIME!

500

What is the largest prime number you can find?  

97

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