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

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?

5^{3}**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?

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

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

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

What is the probability of choosing a red marble?

Which color is less likely to be picked? ___________

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

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

What is the probability 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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