Print out your 6th grade math test before you begin. Try to answer all of the questions.

Name Date: __________________

Solve the following problems

**1.**

In the following equation, what is the value of x?

20 = x + (2 × 8) – 6

**2.**

Sarah has 30 pens. Her friend Sylvia has fewer pencils. What printout shows the number of pens Sylvia has?

**A.** 30 + k **BB** k – 30 **C. **30 – k **DD **30 – 2k

**3.**

The triangle ABC is similar to the triangle DEF

How long is DF?

**A.** 2 inches **BB** 1 inch **C. **3 inches **DD** 1.5 in

**4th**

What is the value of the expression below?

5^{3}

**A.** fifteen **BB** 8th **C. **25th **DD **125

**5.**

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

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

Average = ___________

Median = __________

Mode = ___________

Area = __________

**6th**

-5 – 8 = _______

5 – 8 = _______

-8 – 5 = ______

**7th**

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

**8th.**

Find the perimeter and area of the rectangle below:

Scope = _____________ units

Area = __________________ square units

**9.**

Get a dice and throw it.

The different results are __________________________

Write down the probability of getting an even number ____________

Write down 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 is 4

**A.** 4 tens **BB** 4 tenths **C.** 4 thousandths **DD **4 ten thousandths

**12th**

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

**13th**

Enter the following numbers in order from smallest to largest

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

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

**14th**

a. You want to save money to buy a bike. You start with $ 50 and save $ 4 every day. Which expression shows 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 **BB** 130 dollars **C.** 110 dollars **DD **$ 200

**fifteen.**

a. Write down any compound numbers greater than 10 and less than 20 (hint: there are 5 of them

_________, __________, __________, ____________, ____________,

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

b. Write down all the prime numbers that are greater than 10 and less than 20 (hint: there are 4 of them

_________, __________, ___________, ____________

**16.**

How many lines of symmetry does a square have? ____________

**17th **

The diameter of a circle is 8 inches

The perimeter and area are:

**A.** P = 4 pi and A = 12 pi **BB** P = 16 pi and A = 8 pi **C. **P = 8 pi and A = 16 pi **DD **P = 16 pi and A = 4 pi

**18th**

John and Peter have $ 40 together. When John has four times more money than Peter. How much money does everyone have? (Hint: try trial and error)

John has ____________ dollars

Peter has ____________ dollars

**19th**

One machine produces 5000 articles in 6 minutes. What proportion ** can not** used to find out how many minutes it takes to produce 15,000 items?

**A.** 5000/6 = 15000 / x **BB** 5000/6 = x / 15000 **C. **6 / x = 5000/15000 **DD **6/5000 = x / 15000

**20th**

You go to the restaurant and buy food for $ 120. The restaurant requires a tip of 15%. What’s your total

**21.**

On a map, 1 inch is equal to 30 miles. How many inches are 120 miles away? __________

**22nd**

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

What is the probability of choosing a red marble?

**A.** 4/20 **BB** 3/20 **C. **6/20 **DD **10/20

Which color is less likely to be chosen? ___________

**23**

a. Write down a brief definition of congruence

Create a drawing to show two congruent shapes

b. Write down a brief definition of the similarity

Create a drawing to show two similar shapes

**24**

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

What is the probability of turning 1 and red? __________

**25th**

Evaluate the following numeric expression:

(8 + 2)[(7 – 3)× 5]

**A.** 100 **BB** 150 **C. **300 **DD **200

**26.**

What is the sum of the angles 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 = ______________

**29**

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

**A.** Rectangular prism **BB** circle **C. **pyramid **DD **Bullet

b. Find a soccer field online. Then identify 4 geometric figures

_________, __________, ____________, __________

**30th**

You go shopping and see a sign that says, “Buy 1 shirt and get 20% off the second shirt. The shirt is $ 30 and you buy 2 shirts. What is your total?” ? __________

## Something to keep in mind on the 6th grade math test

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

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