Incoming 6th Grade Summer Mathematics Assignment

 

Name ___________________________________________

 

Complete the following problems.  Make sure you show all of your work and justify your answers with complete sentences. 

 

This is easy! 

 

Look at the patterns below.  Find the next three terms in the pattern and describe the rule.

 

          2, 5, 8, 11, ___, ___, ___                            The rule is _________________________

 

          24, 20, 16, ___, ___, ___                            The rule is _________________________

 

          1.1, 1.7, 2.3, 2.9, ___, ___, ___                   The rule is _________________________

 

 

Label the following points on the number line below.

 A: 1.4          B: 5.67         C:            D:           E:  9.4          F:           G:  0.2

 

 

 

 

Draw the following geometric objects.  Be sure to label your drawings.

Parallel Lines

AB and CD

Line Segment

RS

Angle TUV

Perpendicular Lines

Ray EF

 

 

 

 

 

 

 

 

 

 

Identify each number as either Prime or Composite.

 17 is _________   33 is __________ 92 is __________ 53 is _________

 

Match each quadrilateral with its name.  Each name is only used once.

 

                                                Rhombus

                                               

                  

                                                Parallelogram

                            

                            

                                                Rectangle

 


 

                                                Trapezoid

 

 

 

Plot and label the following points on the coordinate plane below.

[image]

A.   (9, 12)

 

B.    (18, 15)

 

C.   (1, 17)

 

D.   (0, 5)

 

E.    (6, 6)

 

F.    (8, 0)

 

G.   (10, 14)

 

Put on your thinking caps!  Here comes some real math!

Describe the relationship between the IN and OUT box of the function machines.

IN

OUT

2

10

4

20

5

25

7

35

The rule is

 

 

 

IN

OUT

5.1

9.9

5.7

10.5

6.0

10.8

7.2

12.0

The rule is

 

 

 

 

 

 

 

 

 

 

Compare the following statements using the symbols =, <, or >.  Show your work!

 

421 x 16 ____ 313 x 21            7225 ÷ 25 ____ 7280 ÷ 8           ____

 

A large rectangular stamp is shown below.  What is the area and perimeter of the rectangle?

Text Box: 4.7 cm

 

                                                                  

 

                                                                      Area = _________      (A = l∙w)

Text Box: 7.2 cm

  

                                                                      Perimeter = _________

                                                                  

A marble is drawn from a bag of 4 marbles (red, yellow, blue and green) and a coin is tossed.  Create a tree diagram to show all possible outcomes.

 

 

 

And now for the challenge questions . . .

 

Label each prism by its base.

  

 

 

 

___________________ ___________________ ___________________

 

 

          How many rectangles would you need to make a rectangular prism?

 

 

          How many rectangles and triangles would you need to make a triangular prism?

 

 

          How many rectangles and circles would you need to make a cylinder?

 

 

Survey at least 10 of your friends, family and neighbors about the number of hours they spend reading each month.   Then, create a stem and leaf plot to organize your data.  Don’t forget your key!

 

 

 

 

 

Using your stem and leaf plot, answer these questions:

 

          What is the mean number of hours spent reading?

          What is the range of hours spent reading?

 

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