6th grade math test

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Name ____________________                             Date:____________________

Solve the following problems


1. 

In the equation below, what is the value of x

20 = x + (2 × 8) - 6


2. 

Sarah has 30 pencils. Her friend Sylvia has k less pencils. Which expression shows the number of pencils Sylvia has? 

A. 30 + k      B. k - 30      C. 30 - k      D. 30 - 2k      


3.

Triangle ABC is similar to triangle DEF

Similar triangles

What is the length of DF?

A. 2 inches      B. 1 inch      C. 3 inches      D. 1.5 inches      


4.

What is the value of the expression below?

53

A. 15      B. 8      C. 25      D. 125      


5.

Use the following list to find the average or mean, the median, the mode, and the range 

10, 15, 5, 8, 6, 6, 2

Average = ___________

Median = __________

Mode = ___________

range = __________


6. 

-5 - 8 = _______ 


5 - 8 = _______ 


-8 - 5 = ______ 


7. 

Draw a coordinate system in the space below and then plot (2,5) and (-4, 2) 




























8. 

Find the perimeter and area of the rectangle below:

Rectangles with sides 2.33333 and 5.66666

Perimeter = _____________ units

Area = __________________ square units


9.

Get a die and throw it.

The different outcomes are __________________________

Write the probability of getting an even number ____________

Write the probability of getting an odd number ____________

Write the probability of getting a prime number ____________


10.

Add 3/5 and 2/7 _____________ 


11. 

For the number 76.2345, the value of the digit 4 is 

A. 4 tens      B. 4 tenths      C. 4 thousandths      D. 4 ten-thousandths      


12.

If 9450 / x equals 21, what is x? ________________ 


13. 

Put the following numbers,in order from least to greatest

-1/4, 7/4, 0.90, -2/4, 0.20, 3/4, 1.50, -0.50, 

_____, ______, ______, ______, ______, _______, ______, _______ 


14.

a. You want to save money to buy a bike. You start with 50 dollars and you save 4 dollars each day. Which expression show the amount of money you have after x days?

50 - 4x

4x - 50

4x + 50

50 + 4 × 10

b. How much money do you have after 20 days?

A. 120 dollars      B. 130 dollars      C. 110 dollars      D. 200 dollars      


15.

a. Write down all composite numbers bigger than 10 and smaller than 20 ( Hint: there are 5 of them

_________, __________, __________, ____________, ____________, 

Pick a composite number and write down all the factors in the space below 












b. Write down all prime numbers bigger than 10 and smaller than 20 ( Hint: there are 4 of them 

_________, __________, ___________, ____________




16.

How many lines of symmetry does a square have? ____________


17. 

The diameter of a circle is 8 inches

The perimeter and area are :

A. P = 4 pi and A = 12 pi      B. P = 16 pi and A = 8 pi      C. P = 8 pi and A = 16 pi      D. P = 16 pi and A = 4 pi      


18.

John and Peter have 40 dollars together. If John has 4 times more money than Peter. How much money does each have? ( Hint: try trial and error) 


John has ____________ dollars 

Peter has ____________ dollars

19. 

A machine produces 5000 items in 6 minutes. Which proportion cannot be used to find how many minutes it takes to produce 15000 items?

A. 5000 / 6 = 15000 / x      B. 5000 / 6 = x / 15000      C. 6 / x = 5000 / 15000      D. 6 / 5000 = x / 15000      


20.


You go to the restaurant and buy food for 120 dollars. The restaurant requires a 15% tip. What is your total?





21.

In a map, 1 inch represents 30 miles. How many inches will show a distance of 120 miles? __________


22.

A box contains 6 blue marbles, 4 yellow marbles, and 10 red marbles.

What is the probability of choosing a red marble?

A. 4 / 20      B. 3 / 20      C. 6 / 20      D. 10 / 20      


Which color is less likely to be picked? ___________


23.

a. Write down a brief definition of congruence






Make a drawing to show two shapes that are congruent 




















b. Write down a brief definition of similarity






Make a drawing to show two shapes that are similar 




















24.

Spin each spinner once and list all possible outcomes ( Hint: one outcome is 2 and white)

Left circle has numbers 1, 1, 2, and 3. Right circle has the words pink, white, blue, and red


What is the probabibilty of getting 1 and red? __________


25.

Evaluate the numerical expression below:

(8 + 2)[(7 - 3)× 5]

A. 100      B. 150      C. 300      D. 200      


26.

What is the sum of the angle in a pentagon? (Hint: divide the pentagon into triangles. A triangle is 180 degrees)


27

a. How many inches are in 3 and 1/2 feet?

b. How many meters are in 500 centimeters?

28.

What is the volume and surface area of the following rectangular prism?

Volume = _______________

Surface area = ______________ 


29.

a. The shape of a swimming pool is more like a 

A. Rectangular prism      B. Circle      C. pyramid      D. Sphere     


b. Look up a soccer field online. Then, identify 4 geometric figures

_________, __________ , ____________, __________


30.

You go shopping and you see a sign that says." Buy 1 T-shirt and get 20% off on the second T-shirt. The T-shirt cost 30 dollars and you buy 2 T-shirts. What is your total? __________


Note: A score of 25 or more on this 6th grade math test is a good indication that most skills taught in 6th grade were mastered

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