5th grade cst math prep key standards with hints and explanations

7/29/2019 5th Grade Cst Math Prep Key Standards with hints and explanations

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5TH GRADE MATH TEST PREP(Key Standards with Hints and Re-teaching)


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A 50B 100

C 150D 200

3. What is 40% of 250?

Hint:

Change 40% into a

decimal and remember

what operation of

means. Write it and

solve.


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The Answer

0.40 X 250= 100

B 100


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A 26.7%

B 30%

C 37.5%

D 50%

4. What is 3/8 written as a percent

What does the

line mean in a

fraction? Solve.


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The Answer

3 divided by 8 =

0.3750.375 X 100 (per hundred) =

C 37.5%


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A 1/7B 3/4

C 3/7D 7/10

5. What is the decimal 0.7 written as a

fraction?Hint:

Say it out

loud!


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The Answer

Seven tenth =

D 7/10


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A 35%

B 40%C 60%

D 65%

6. A company donated 200 books

to a local library. If 70 of them arefiction, what percent of the

donated books are fiction?Hint:

Say it out loud. 70%

of them? What is

them?

Write it down and

solve.


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The Answer

70% of 200 books=

.70 of 200=

.70 X 200= 0.35

0.35=35%A 35%


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A 1.25%B 7%

C 9%D 12.5%

7. In a parking lot, 1 out of every 8

cars is blue. What percent of thecars in this lot are blue?

Hint:

Turn the ratio into a

fraction. Turn the fraction

into a decimal. Turn the

decimal into a percent.


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The Answer

1/8=

1 divided by 8 =0.1250.125 X 100 (per hundred)=

D 12.5%


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A 0.30

B 0.35

C 0.60

D 1.67

8. What decimal is equal to 3/5

Hint:

What does the

line mean in a

fraction? Solve.


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The Answer

3 divided by 5=

C 0.60


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A 2000B 200

C 20D 2

9. What is 50% of 40?

Hint:

Change the percent into

a decimal and remember

what operation of

means. Write it and

solve.


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The Answer

50% of 40 =

0.50 of 40=

0.50 X 40=

0.5 X 40=C 20


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A 23 X 5

B 32 X 5

C 52 X 3

D 52 X 9

11. What is the prime factorization

of 45? Hint:Make a factor tree.45

^

The numbers MUST

be prime numbers!


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The Answer

45^

9 X 5

^

3 X 3

3 X 3 X 5=

B 32 X 5


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A 22

X 3B 22 X 32

C 4 X 3D 1 X 2

12. What is the prime factorization of

12?Hint:

Make a factor tree.12

^

The numbers MUST

be prime numbers!


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The Answer

12^

3 X 4 (one option)

^

2 X 2

2 X 2 X 3=

A 22 X 3


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A 22 X 32

B 22 X 33

C 4 X 32

D 4 X 9

13. What is the prime factorization of

36?Hint:

Make a factor tree.

36

^

The numbers MUST

be prime numbers!


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The Answer

36^

6 X 6(one option)

^ ^

3 X 2 3 X 2

2 X 2 X 3 X 3

A 22 X 32


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A 2 X 30B 3 X 20

C 2 X 3 X 10D 2 X 2 X 3 X 5

14. Which of the following shows

the number 60 factored into primenumbers?Hint:

Make a factor tree.

60

^

The numbers MUST

be prime numbers!


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The Answer

60^

2 X 30 (one option)

^2 X 15 (one option)

^3 X 5

D 2 X 2 X 3 X 5


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A 6 X 8

B 2 X 4 X 6

C 2 X 2 X 2 X 6

D 2 X 2 X 2 X 2 X 3

15. Which expression shows the

prime factorization of 48?Hint:

Make a factor tree.

48

^

The numbers MUST

be prime numbers!


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The Answer

48

6 X 8 (one option)

^ ^2 X 3 2 X 4

^2 X 2

D 2 X 2 X 2 X 2 X 3


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A 3B 7

C 2 and 3D 3 and 7

16. What are all of the different

prime factors of 36?Hint:

Make a factor tree.

36

^What are the prime

numbers in your

answer?


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The Answer

36^

6 X 6 (one option)

^ ^

2 X 3 2 X 3C 2 and 3


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A P

B Q

C R

D S

HINT:

Add the othernumbers to the

number line.


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The Answer

A P best identifies -6


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18. Which point on the number line best

represents 1.35?Hint:

Add the

decimals to

the numberline.


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The Answer

C best represents 1.35


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19. Which number line appears to

show the dot placed at 1/5?

Hint:

Split eachwhole into

5 sections

and write

the

fractions.


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The Answer

A has the point at 1/5


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A 29.31B 29.51

C 30.31D 30.51

20. 11.3 X 2.7=

Hint:

Multiply the numbers as if they

were whole numbers.

Line up the numbers at the

RIGHT, do NOT line up the

decimal points.

Multiply.

Count the decimal places from

the right in the numbers you

are multiplying and move the

decimal that many places from

the right in the product.


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The Answer

11.3X 2.7

791+ 2260

30 51D 30.51


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A $0.89

B $0.93

C $1.08

D $75.33

21. Javier bought 9 pounds of

ground beef. He saved $8.37 by

using a store coupon. How much did

he save per pound of ground beef?

HINT:

Read carefully.

Eliminate answers that are

unreasonable.

If he saved $8.37 on 9 pounds,

how much did he save on 1

pound?


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The Answer

8.37 divided by 9=If you are dividing by a divisor

without a decimal, divide asusual and bring the decimal

straight up.

B $0.93


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A 154B 157

C 159D 162

22. Veronica can type 28 words per

minute. At this rate, how many words

can Veronica type in 5.5 minutes?

Hint:

Read carefully.

Determine what

information the

question is asking you

to solve for.


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The Answer

2 8X 5.5

140+ 1400

1540A 154


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A 5.65 meters

B 5.75 meters

C 6.65 meters

D 6.75 meters

23. Tony had a rope 8.35 meters

long. He cut off 2.6 meters. Howlong was the piece of rope that

was left?Hint:

Say it out loud.

If he cut off a piece

should you add it or

subtract it?

Remember to line

up the decimals foraddition or

subtraction.


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The Answer

8.35 - 2.6=When adding or subtracting decimals ALWAYS

LINE UP the decimals. Add zeroes on the right to

make the place values even without changingthe value. Bring the decimal straight down.

8.35

- 2.6 .

5.7 5

B 5.75 meters


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A 9.708B 9.718

C 11.608D 11.718

24. 39.06

X0.3Hint:


were whole numbers.



decimal points.

Multiply.


the right in the numbers you aremultiplying and move the




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The Answer

39.06

X 0.311718

D 11.718


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A $1.28

B $2.40

C $3.75

D $4.25

25. Robert wants to buy 3 notebooks

that cost $1.25 each. How much do

the notebooks cost all together,

without tax?

HINT:

Read carefully.

What are they asking you to

solve? Draw a picture if you

need to.

Chose the correct operation.Eliminate any answer that is

not reasonable.


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The Answer

1.25

X 33 7 5

C $3.75


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A $4.75B $5.25

C $5.75D $10.25

26. Maria has $7.50 to buy lunch. If

she buys a turkey sandwich that costs

$2.75, how much money will she haveleft?

Hint:

What are they asking youto find?

What operation do you

need to use?

Eliminate any

unreasonable answer.


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The Answer

When adding or subtracting decimals ALWAYS LINEUP the decimals. Add zeroes on the right, if

necessary, to make the place values even withoutchanging the value. Bring the decimal straight down.

7.50- 2.75

4.75

A $4.75


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A 23.76

B 24.86

C 237.6

D 248.6

27. 7.2

X 3.3

Hint:


were whole numbers.



decimal points.

Multiply.


the right in the numbers you are

multiplying and move the




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The Answer

7.2X 3.3

216+2160

2376A 23.76

28 15 12 2 4


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A 0.513B 0.63

C 5.13D 6.3

28. 15.12 2.4

Click here to be

reminded how to

divide a decimal

by a decimal

Hint:To divide by a decimal, you

must first change the divisor

into a whole number. (

Multiply by a power of 10-

move the decimal to the right

as many times as necessary.)Remember any change you

make to the divisor, you must

also make to the dividend.
http://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htmhttp://www.coolmath.com/prealgebra/02-decimals/10-decimals-dividing-by-decimal-01.htm


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The Answer

D 6.3


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A 89

B 843

C 925

D 965

29. 35,705 37

Hint:

If there are no

decimals, just divide.


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The Answer

D 965

30 At a school there are 704 desks to


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A 32B 34

C 42D 44

30. At a school, there are 704 desks to

place into 22 classrooms. If the same

number of desks is placed in eachclassroom, how many desks will be in

each room?

Hint:

Read carefully.

Determine which

operation to use.


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The Answer

A 32

31 Wh i h hi di i i


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A 2.05

B 2.5

C 20.5

D 25

31. What is the answer to this division

problem?

246 12Hint:

If there are no decimals,

just divide.

Remember there are no

remainders.

Add a decimal point and

zeros if you need to.


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The Answer

C 20.5

32. Maurice talked on the telephone


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A 1/6 hour

B 2/7 hour

C 5/12 hour

D 7/12 hour

32. Maurice talked on the telephoneto two friends. He talked to Sherry for

1/4 hour, Gabriel for 1/3 hour. Howmuch time did Maurice spend on the

telephone?Hint: Read carefully to

determine which

operation to use.

Remember to add or

subtract fractions, you

must have a common

denominator.

Click here to see an

explanation and an

example of adding and

subtracting fractions

with unlike

denominators.
http://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htmhttp://www.coolmath.com/prealgebra/01-fractions/fractions-12-adding-subtracting-different-denominators-01.htm


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The Answer

1/4 + 1/33/12 + 4/12= 7/12

D 7/12 hour


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33. 2 + 4=

A 6

B 6

C 6

D 6 For explanations

and examples of

how to add and

subtract mixed

numbers click

here.

Hint:

Remember to add or

subtract fractions, you

must have a commondenominator.
http://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.htmlhttp://www.coolmath4kids.com/fractions/fractions-13-adding-subtracting-whole-mixed-numbers-01.html


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The Answer

2 1/3 + 4 1/2

7/3 + 9/2

14/6 + 27/6 = 41/6

416 = 6 5/6D 6

34 It takes S anne hour to walk to the


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34. It takes Suzanne hour to walk to the

playground and hour to walk from the

playground to school. How much time does it takeSuzanne to walk to the playground and then to

school?

A 2/9 hourB 1/3 hour

C 1/2 hourD 2/3 hour

Hint: Read carefully to

determine which operation

to use.Remember to add or

subtract fractions, you must

have a common

denominator.

Remember simplest form.


explanation and an



with unlike

denominators.


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The Answer

1/6 + 1/3

1/6 + 2/6 = 3/63/6 = 1/2

C hour


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35. 4 - 2=

A 1

B 1

C 2

D 2

Hint:Remember to add or

subtract fractions, you must

have a common

denominator.




explanation and an



with unlike

denominators.


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The Answer

4 - 2

19/4 5/2

19/4 10/4 = 9/4

9 4 = 2 C 2

36 Hector can throw a ball 50 feet


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36. Hector can throw a ball 50 feet.

Lee can throw the same ball 48

feet. How much farther can Hectorthrow the ball than Lee?

A 2 2/15 feetB 2 4/15 feet

C 2 3/5 feetD 2 4/5 feet

Hint:

Read carefully todetermine what

operation to use.

Remember simplest

form.

For explanations

and examples of

how to add and

subtract mixed

numbers click

here.


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The Answer

One way:

50 3/5 48 1/3

50 9/15 48 5/15 = 2 4/15

B 2 4/15 feet

37. Yoshi spent 1 hours reading and


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p g

hour doing chores. How many total

hours did Yoshi spend on theseactivities?

A 1 1/3

B 1 4/7

C 2 1/12D 2 1/6

Hint:

Read carefully to determine

what operation to use.


For explanations

and examples of

how to add and

subtract mixed

numbers click

here.


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The Answer

1 +

4/3 + 3/416/12 + 9/12 = 25/12

25 12 = 2 1/12

C 2 1/12


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45.If n=4, what is the value of 6 X n 3?

A 6

B 9

C 18

D 21

Hint:

Plug it in, plug it in!

PEMDAS


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The Answer

6 X 4 -3

24 3 = 21D 21


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46. If k=6, what is the value of 7k-2?

A 30

B 40

C 54

D 65

Hint:

A number right next to a

variable means divide


PEMDAS


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The Answer

7 X 6 -2

42 2 = 40B 40


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47. If n=31, what is the value of 6-n

A -37

B -25

C 25

D 37Click here for

explanations and

examples of how to

add and subtract

positive and

negative integers.

Hint:

http://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htmhttp://www.coolmath.com/prealgebra/08-signed-numbers-integers/08-signed-numbers-integers-subtraction-01.htm


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The Answer

6 31 = -25

B -25

48 Which expression represents the


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48. Which expression represents the

product of n and 25?

A 25n

B 25-nC 25+n

D 25n

Hint:What does product

mean?


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The Answer

A 25n

f ( )


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49. If z=3, what is 5 X (6-z)?

A 10

B 15

C 27

D 53

Hint:

Plug it in,plug it in!

PEMDAS

h


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The Answer

5 X (6 z)

5 X (6 3)5 X 3 + 15

B 15

50 Sophie caught twice as many fish


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50. Sophie caught twice as many fish

as her dad. If her dad caught F fish,

how many fish did Sophie catch?

A F + 2

B F - 2

C F X 2

D F 2

Hint:

Write it out or plug in

the facts to each

expression to see

which one makes

sense.

h


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The Answer

Two times as many fish as

her dadC F X 2

51. Anh has 64 crayons. This number is


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18 more crayons than Bill Has. Which

equation should be used to find b, thenumber of crayons Bill has?

A b= 64 - 18B b = 64/18

C b= 64 + 18D b= 64 X 18

Hint:Write it out or plug in

the facts to each

expression to see

which one makes

sense.

Th A


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The Answer

A b= 64-18

52 If 4 h i h l f (9 4)?


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52. If s=4, what is the value of s(9-4)?

A 16

B 20

C 32

D 45

Hint:


PEMDAS

Remember, when a

variable or a number is

right in front of the

parenthesis, it means

multiply

Th A


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The Answer

s (9 - 4)

4 (9 - 4)4 X 5 = 20

B 20

53. Bill played a game and scored 5


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times. If each time Bill scored he earned

p points, which expression representsthe total number of points that Bill

scored?

A p + 5

B p - 5

C p X 5

D p 5

Hint:

Write it out or plug in

the facts to each

expression to see

which one makessense.

Th A


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The Answer

He scored 5 TIMES.

C p X 5

Hint: (x,y)


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Which ordered

pair best names

Joes location?

A (3, -4)

B (-3, 4)C (4, -3)

D (-4, 3)

( ,y)

Th A


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The Answer

C (4, -3)

Hint (x y)


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Which store is atthe point (3,-1)

Hint: (x,y)

A Hardware StoreB Grocery Store

C Shoe StoreD Toy Store

Th A


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The Answer

A Hardware Store is at (3,-1)

She walked 2Hint: Double check that

you begin at the correct


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She walked 2

units west and 2

units north.

Which ride did

she walk to?

you begin at the correct

starting point.

A Giant Coaster

B Little DipperC Sky Train

D Ferris Wheel

The Answer


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The Answer

B Little Dipper

Hint: Do you


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A (-4,2)

B (-2,4)

C (2, -4)

D (2, 4)

y

really need a

hint?

(x,y)

The Answer


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The Answer

B (-2,4)

61 Which tent is located at point ( 4 3)?


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61. Which tent is located at point (-4,3)?

A Tent PB Tent Q

C Tent RD Tent S

Hint: Do you

really need ahint?

(x,y)

The Answer ( 4 3)


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The Answer (-4,3)

B Tent Q

62 Which point represents (3 6)?


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62. Which point represents (3,-6)?

A point PB point Q

C point RD point S

Hint: Do you

really need a

hint?

(x,y)

The Answer


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The Answer

D point S


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A y = x/2

B y = 2XC y = x-4

D y = x+4

Hint:

Plug in each

ordered pair.

Make sure every

ordered pairworks.

The Answer


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The Answer

-5= -9 +42 = -2 + 4

8 = 4 +4

15= 11 + 4D y = x + 4

Which ordered pair is located on line m?


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Which ordered pair is located on line m?

Hint: Plot all of

the points to see

where they are

located.

A (1,4)

B (0,0)

C (4,1)

D (4,0)

The Answer


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The Answer

A (1,4)

65. Which table represents values of x


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and y such that y=x+5?

Hint:

Plug each x and y

into the equation.

The Answer


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The Answer

Ax y

-1 4

0 5

y = x + 5

4 = -1 + 5

5 = 0 + 5

66 Which equation shows the relationship


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66. Which equation shows the relationship

of all the values in the table below?

X Y

-2 -6

-1 -3

0 0

1 3

2 6

A y=3x

B x=3y

C y=x+3

D x=3y

Hint:

Plug each ordered pair in to

determine which is the

correct equation for all the

ordered pairs.

The Answer


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The Answer

-6 = 3 X -2-3 = 3 X -1

0 = 3 X 03 = 3 X 1

6 = 3 X 2A y = 3x

67. Joaquin charges $4.00 per hour to


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baby-sit. What equation could Joaquin use

to find the number of hours (h) he needsto baby-sit in order to earn $50.00?

A 4h = 50

B h/4 = 50

C h-4 = 50

D 4 + h = 50

Hint:

Read eachequation aloud.

The Answer


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The Answer

$4.00 per hour = $50

Per means multiplyA 4 h = 50


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A 11 square inches

B 22 square inchesC 33 square inches

D 44 square inches

Hint:

What is the

relationshipbetween a

parallelogram

and its

triangle?

The Answer


111/154

The Answer

A parallelogram is twotimes the area of its

triangle.22 X 2= 44

D 44 square inches


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A 18.5 ft2

B 37 ft2C 5.5 ft2

D 74 ft2

Hint:

What is the

relationship

between a

parallelogram

and its

triangle?

The Answer


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The Answer

A parallelogram is two times thearea of its triangle.

37 X 2= 74

D 74 ft2


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A 8 cm2

B 24 cm2C 32 cm2

D 48 cm2

Hint:

Read carefully.

Write the areaof each

triangle inside

of the

triangle.

The Answer


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The Answer

16 cm2 is the area of 2 of thetriangles.

So each triangle has an area of 8 cm2

There are 3 triangles so 8 X 3 = 24

B 24 cm2


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A 31.5 square meters

B 54 square metersC 63 square meters

D 70.6 square meters

Hint:What is the

formula for

finding the area

of a

parallelogram?

The Answer


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The Answer

The formula for finding the area of aparallelogram is b X h

Base is 9mHeight is 7m

9 X 7 = 63

C 63 meters squared


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A 3.5 square units

B 7 square unitsC 14 square units

D 18.5 square units

Hint:

Triangles are

congruent

when all

correspondingsides are the

same length

and all

corresponding

interior angles

are equal.

The Answer


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The Answer

If triangles A and B are congruent theyhave the same area.

If the area of the rectangle is 7 square

units, the area of the parallelogram (using

the same triangles, just positioned

differently) MUST be the same also.

B 7 square units

Hint:

W it th


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A 28 cm2

B 24 cm2

C 14 cm2

D 8 cm2

Write the area

of each

section and

add them for

the total

surface area.

The Answer


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The Answer

The areas of the sections,in square centimeters, are

4 + 8 + 4 + 8 + 2 + 2 = 28

A 28 cm2


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A 25 cubic inches

B 42 cubic inches

C 112 cubic inches

D 336 cubic inches

Hint:

What is the

formula for findingthe volume of a

rectangular prism?

How many square

cubes would fill it?

The Answer


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The formula for the volume of a rectangularprism if length X width X height

l = 14 in

w = 3 in

h = 8 in

14 X 3 = 42 X 8 = 336

D 336 in3

Hint:

What is the


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A 2880 in3

B 2580 in3

C 390 in3D 360 in3

formula for finding

the volume of a

rectangular prism?How many square


The Answer


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The formula for the volume of arectangular prism if length X width X height

l = 12 in

w = 8 in

h = 30 in

12 X 8 = 96 X 30 = 2880A 2880 in3

76. What is the volume of a cube that

10 i h h d ?


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measures 10 inches on each edge?

A 10 cubic inches

B 100 cubic inches

C 1000 cubic inches

D 10, 000 cubic inches

Hint:

What is the

formula for finding

the volume of a

cube? How many

square cubeswould fill it?

The Answer


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The formula for finding thevolume of a cube is

side X side X side (side3)Each side is 10 inches

10 X 10 = 100 X 10 = 1000

C 1000 cubic inches


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A 11 yd3

B 24 yd3

C 40.5 yd3

D 47.25 yd3

Hint:What is the

formula for finding

the volume of a

rectangular prism?

How many square


The Answer


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The formula for the volume of arectangular prism if length X width X height

l = 4.5 yd

w = 3.5 yd

h = 3 yd

4.5 X 3.5 = 15.75 X 3 = 47.25D 47.25 yd3


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A 70

B 80C 100

D 110

Hint:

Always line up

one ray with the

zero on the

protractor. Startmeasuring from

that zero.

The Answer


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It is an obtuse angle so it mustbe over 90 degrees and under

180 degrees.D 110


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A acute angles

B obtuse anglesC parallel lines

D perpendicular lines

Hint:

Look carefully.

Eliminate choices

you know arent

correct. Think!

The Answer


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D perpendicular lines


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A 20

B 45C 110

D 135

Hint:

Look carefully at

your choices.Rule out

unreasonable

choices. Think of

benchmarks like

90and 180!

The Answer


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The angle looks like it is inbetween a 1 angle and a 90

angleSo the appropriate measure

would beB 45


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A 12

B 102C 122

D 180

Hint:

The angles of a

quadrilateral

always equal the

same thing. It isa skateboard

trick

How do you find

a missing angle

when you have

the total?

The Answer


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The measure of angles in aquadrilateral ALWAYS equals

36082 + 109 = 191 + 67 = 258

360 - 258 = 102B 102


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A 25

B 45C 70

D 90

Hint: What is the

measure of a right

angle?

What is the totalmeasure of the

angles in any

triangle?

The Answer


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A right angle measures 90The measure of angles in a triangle

ALWAYS equals 180

90 + angle + angle = 180

180 90 = 90

90 2 = 45B 45

Hint: What is the

f i h


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A 30

B 45C 55

D 60

One angle is 45. What is the measure of the third angle of Ninas triangle?

measure of a right

angle?

What is the totalmeasure of the

angles in any

triangle?

The Answer


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A right angle measures 90The measure of angles in a triangle

ALWAYS equals 180

90 + 45 + angle = 18090 + 45 = 135

180 135 = 45

B 45


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A 50

B 60C 80

D 100

Hint: What is the

measure of the

known angle?

What is the total

measure of the

angles in any

triangle?

The Answer


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The known angle measures 80The measure of angles in a triangle

ALWAYS equals 180

80 + angle + angle = 180

180 80 = 100

100 2 = 50A 50

Hint: What are the


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A 17

B 29C 31

D 39

measures of the

known angles?

What is the total

measure of the

angles in any

triangle?

The Answer


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The known angles measure 92 and 59The measure of angles in a triangle

ALWAYS equals 180

92 + 59 + angle = 180

92 + 59 = 151

180 151 = 29B 29

89. The measure of three interiorangles in a quadrilateral are 35, 50,


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g q , ,

and 125. What is the degree measureof the fourth interior angle?

A 60B 90

C 120D 150

Hint:

The angles of aquadrilateral always

equal the same thing.

How do you find a

missing angle when you

have the total and threeof the angles?

The Answer


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The measure of angles in aquadrilateral ALWAYS equals 360

35 + 50 + 125 + missing angle = 36035 + 50 + 125 = 210

360 - 210 = 150

D 150


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A 4

B 5C 6

D 7

Hint:

What

percent is

?

The Answer


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= .50

.50 = 50 %B 5 days

What was the

high


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high

temperature onJuly 7?

A 86FB 87F

C 88FD 89F

Hint:

Read

carefully.

Doublecheck your

answer.

The Answer


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B 87


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A point K

B point L

C point M

D point N

Hint:

(x,y)

The Answer


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B point L


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5th grade cst math prep key standards with hints and explanations

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