6th grade math test
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 show 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
What is the length of DE?
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:
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 red marbles, and 10 red marbles.
What is the probability of choosing a red marble?
A. 4 / 20 B. 3 / 20 C. 6 / 20 D. 4 / 16
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)
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 shapes
_________, __________ , ____________, __________
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? __________
