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6th grade math test




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

Similar triangles

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?

53

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:

Rectangles with sides 2.33333 and 5.66666

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)

The left circle has numbers 1, 1, 2, and 3. The right circle has the words pink, white, blue, and red

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?

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

If you had big problems on this 6th grade math test, get someone to help you

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