math mountain

MATH MATH MOUNTAIN MOUNTAIN

135 Challenge Math Questions135 Challenge Math Questions

1.1.

? Draw cubes, flats, rods, and ones to ? Draw cubes, flats, rods, and ones to show the number: show the number: 1,5831,583..

2.2.

Write this number using words?3,654

Write this number in expanded notation.

3.3.

What number does this Roman numeral represent?

XXXIII

4.4.

List all of the PRIME

numbers between

0 and 30.

5.5.

Round 21, 579 to the

nearest thousand.

Write the number using digits.

Write in expanded notation.

Write the number using words.

6.6.

Multiply 11 times 8.

Is your answer

odd or even?

How many sets do you have?

How many elements in each set?

7.7.

Draw a number line that shows all numbers

3< x <15

8.8.

How many more pieces of mail need to be delivered to equal 30,000?

Pieces of mail delivered

Day Number of pieces of mail

Thursday 6,822

Friday 6,832

Saturday 6,382

Monday 6,632

9.9.

B. has 643 trading cards in his collection

but he wants to have 1000 by the

end of the year.

About how many more does he need to

collect to reach his goal of 1000?

If he buys cards in sets of 10 how many sets

will he need to buy?

10.10.

Create an equation that shows the

identity property of multiplication.

Solve your problem.

Create a problem for the class.

Put it in the IDEA jar.

11.11.

A cookie factory produced 48 packages

of cookies each minute.

There are 24 cookies in each package.

How many cookies could the factory

produce in one hour?

How much could they produce in a

12 hour day?

12.12.

Identify each solid figure. Select one and draw each of its sides.

13.13.

Find the perimeter of this rectangle.

What would the area of this rectangle be?

Perimeter = h + h + l + l

Area = h x l

12

20

14.14.

Many times fractions can be REDUCED.Reduce these fractions to their lowest form.

40/100 10/50 3/9

6/18 30/90 25/100

15.15.

Make a guess. What is the approximate angle made on each circle?

16.16.

Draw each figure using translation.We used to call it a SLIDE.

Does a translation change the size or shape of a figure?

17.17.

Identify each angle. Which is

ACUTE, OBTUSE, RIGHT, or STRAIGHT.

A B

C D

18.18.

Show each transformation with the shape below.

translation - slide 45 degree rotation

90 degree rotation reflection

19.19.

If the dimensions of this yellow rectangle are 6’ X 12’ and the blue rectangle has the same perimeter as the yellow rectangle, what are

some possible dimensions for the blue rectangle?

20.20.

If you were standing above this flat and If you were standing above this flat and rod, what would you see? Draw the top rod, what would you see? Draw the top

view of these base 10 blocks.view of these base 10 blocks.

21.21.

Per cent = per 100Cent = 100

Think of a flat with 100 units.If you had 2 of those units

you could write it 2/100 or 2% or 0.02

How would you write it if you had 30 of those units?

22.22.

Jordan wants to ride a total of 6 miles today.

Which route could he follow to accomplish

his goal?

Grid = 1 mile x .5 mile

Store

Jordan’s houseI mile

.5 mile

school

playground

basketball

pond

23.23.

Write the signs to show the relationships of these numbers.

4/7 5/7

3/9 10/30

0.06 0.006

5.4 5.400

24.24.

List all possible ways to pay for a

slice of pizza that costs $1.75

( Hint: make a chart )

25.25.

What is the value of each digit

below?

69,341.258

26.26.


LXXXVII

27.27.

Barbara invites 100 of her friends to her

birthday party. The invitations come 12

to a pack. Write an equations can she

use to find “p”, the number of packs of

invitations she needs to buy?

28.28.

Tommy works at Burger King with 2 other

friends. At the end of each shift they

put all of their tips together and split them.

They have $27 tonight. If they divide the

money equally how much will each

friend receive?

29.29.

Draw cubes, flats, rods, and ones Draw cubes, flats, rods, and ones to show the number: to show the number: 2,9482,948..

30.30.

Claud has a box of chips he wants to share with his friends. The box of assorted chips

has 28 bags in it. Claud passes out six bags, one for each friend and continues

until the box in empty. How many bags will each friend get?

31.31.

An airplane took off from Austin, Texas

at 10:45 a.m. and landed in Orlando

at 1:25 p.m.

How long was the flight?

32.32.

Iona wants to make a vegetable garden in her backyard. She wants to put fencing around it to keep the rabbits out. She has 70 feet of fencing. Which of the following equations can be used to find “f”, the length of each side of Iona’s garden.

A. 4 divided by 80 = f

B. f divided by 80 = 4

C. 80 times f = 4

D. 4 times f = 80

33.33.


LXXXVII

34.34.


numbers between

0 and 39.

Now add them all up.

35.35.


nearest thousand.

Write the new number.

Write the number using words.

36.36.


Is your answer

odd or even.

Write your answer using expanded notation.

37.37.

When the numerator of a fraction is equal to or greater than the denominator, the

fraction is call an IMPROPER fraction.

Change each improper fraction to a whole number or a mixed number.

5/5 7/4 12/3 18/5

38.38.


16< x <54

Create a equation that is outside these parameters.

39.39.

Estimate the number of pieces of mail that will be delivered on Wednesday based on

the chart.



Thursday 6,822

Friday 6,832

Saturday 6,382

Monday 6,632

40.40.

Complete the pattern. Complete the pattern. What is the rule?What is the rule?

+ 8 = 10

+ 80 = 100

+ 800 = 1000

+ 8000 = 10000

41.41.

Round this number to the: Round this number to the: Hundreds place ___________Hundreds place ___________

Thousands place ___________ Thousands place ___________Ten thousands place ___________Ten thousands place ___________

Hundred thousands place _________Hundred thousands place _________753,642753,642

42.42.

M. ate 3/5 of a pepperoni pizza.

Y. ate 4/8 of a cheese pizza.

R. ate 6/9 of a stuffed crust pizza.

Which child ate the most pizza?

43.43.

J. and E. want to sell key chains at theJ. and E. want to sell key chains at the farmer’s market. farmer’s market.

J. ordered 203 and E. ordered 419.J. ordered 203 and E. ordered 419.How many key chains did they order in all?How many key chains did they order in all?

If each costs $.20 how much money If each costs $.20 how much money do they need? do they need?

If they sell each for $.50 what will be If they sell each for $.50 what will be

their total profit?their total profit?

44.44.

Complete the pattern.

What is the rule?

4 - 2 =

40 - 20 =

400 - 200 =

4000 - 2000 =

45.45.

M. and K. conducted a scientific experiment

using trout and salmon.

They studied 572 trout and 468 salmon.

About how many fish did they study in all?

How many more fish will they need

if they want their sample to total 1500?

46.46.

associative - commutative - identity

( I + j ) + k = I + ( j + k )

Which property of addition is shown?

What is the definition of each property?

47.47.

Create the largest number possible using these digits.

1 3 7 4 2 9

Now, rearrange the digits to make the smallest number possible.

48.48.

L. and W. conducted a survey about computer usage at school.

L. counted 834 surveys while

W. counted 752 surveys.

About how many surveys did they count?

If each survey had 10 questions, how many

questions need to be processed?

49.49.

The cafeteria will be serving hot dogs

this Thursday.

They think about half of the students

will purchase a hot dog for lunch.

If there are 630 students at Port Orange Elementary, about how many hot dogs

should the cafeteria cook?

50.50.

Complete the pattern.

What is the rule?

Can you extend the pattern?

5 15

10 30

60

30

51.51.

A farmer in Flagler County sold 800 bags of potatoes at the market.

Each bag holds approximately 20 potatoes and weighs 25 pounds.

About how many potatoes did he sell?About how many pounds of potatoes

did he sell?Challenge: what is the average weight of

each potato?

52.52.

Four hundred fifty six parent surveys were

returned to Port Orange Elementary.

There was a total of 26 questions

on each survey. How many total answers

need to be processed?

If it takes 5 minutes to process each survey,

how long will it take to process all

of the surveys?

53.53.

Which sign will make this math

sentence true?

1000 50 X 22

54.54.

L. wants to sell ice cream at the

school picnic. She thinks about 600

people will attend the picnic.

The store sells ice cream bars in packages

of 24 for $4.50.

How many boxes should she buy if she

wants to have enough for half of the people.

How much will she spend?Challenge: if she sells every ice cream for

$.75 each what will her profit be?

55.55.

If 700 ÷ 70 = 10

Then 70 X 10 =

Which property does this illustrate?

Design another equation that illustrates

the same property.

56.56.

M. made 487 pieces of candy to give

out in goodie bags at her birthday party.

She put 8 pieces of candy in each bag.

How many goodie bags can she fill?

How many friends can she invite to

her party?

57.57.

Which two numbers in the box

have a quotient of 9?

2 6 8 10 14 72

58.58.

Port Orange Fruit Co. needs to ship an order for 7,200 oranges to New York.

If each lug box can hold 90 oranges, how many boxes will the company need?The boxes will ship by truck. The trucking

company charges $1.50 per box. What will the shipping charges be?

59.59.

Practice writing decimals as words.

0.2 is two tenths.

Write each of the following decimals

as words.

0.8 4.5 0.3

Read the decimal as “and”

3.1 reads: three and one tenths

60.60.

Florida budgeted $410, 900 for new

science textbooks for Volusia County.

Each book costs $87.00.

How many new textbooks can the

state purchase?

If there are 5000 students in Volusia County,

will every student get a new book?

Explain your answer.

61.61.

Quadri means 4 and lateral

means side.

All 4 sided polygons are quadrilaterals.

Draw and identify at least

4 different quadrilaterals.

62.62.

S. wants to ride the Ferris wheel, the roller coaster, and the flume ride at Bush

Gardens. He only has 3 tickets left. How many more tickets will he need? If each ticket costs $.75, how much

money will he need?

ROLLER COASTER 4 TICKETS

BUMPER CARS 2 TICKETS

FLUME RIDE 5 TICKETS

FERRIS WHEEL 3 TICKETS

63.63.

13,739 X 1 13, 749

Which sign makes this math

sentence true?

Create an equation that uses the

same sign.

64.64.

Draw cubes, flats, rods, and ones Draw cubes, flats, rods, and ones to show the number: to show the number: 2,7242,724..

65.65.

Write this number using words?

7,315

Write the number in expanded notation.

Challenge: What is special about these digits?

66.66.


CLXXVII

What are the Roman numerals for

the date: 2013

67.67.

Forty students went on a class

fieldtrip to a fort. Thirty students

enjoyed the trip to see the fort.

This is ¾ = 75/100 of the students.

What decimal number shows how many

students liked the fort? What decimal

number shows how many students

did not enjoy the trip?

68.68.


numbers between

0 and 100.

Use all of them to create an equation.

Put it in the IDEA jar.

69.69.


nearest thousand.

Write the new number.

Now, write the amount as if it

were money.

Divide by 10. How much money

do you have now?

70.70.


Is your answer odd or even.

How many sets do you have?

How many elements are

in each set?

Draw an array of your sets.

71.71.


1< x <74

Create an equation within these parameters.

72.72.

Use the chart to estimate the number of pieces of mail that will be delivered

each month.REMEMBER: MAIL IS NOT DELIVERED ON SUNDAYS



Thursday 6,822

Friday 6,832

Saturday 6,382

Monday 6,632

73.73.

Orange Elementary is having a softball game to raise money for field trips.

One hundred fourteen fans are sitting on the home team side and 76 fans are

sitting on the visiting team side.Each fan paid $2.50 cents to get into the game.

Popcorn and soda sales brought in an additional $438.00. How much money was

donated to the field trip fund?

74.74.

Write an expression for the sum of

X and 48

If X equals 18, what is the sum?

What would the sum be if X equals 73?

75.75.

W. collects CDs. He already has an entire cabinet full.C = CDs

He purchased a box of CDs at a garage sale with 47 CDs in it.

Write an expression that shows how many CDs W. has now.

Solve if C = 394

76.76.

The Awards Banquet will be held at the Hilton Hotel next week. The hotel wants

to arrange 150 flowers in vases for the banquet. If each vase can hold 5 flowers,

how many vases are needed?How many tables will be used if one vase

sits on each table?How many students can attend if there

are 8 chairs at each table?

77.77.

Complete the chart.

What is the rule?

5 ÷ = 1

50 ÷ = 10

÷ = 100

5000 ÷ =

78.78.

Solve for N

3 X 7 + 8 + 3 – 16 = N

N =

What was your Order of Operations?

79.79.

C. and R. work at a bakery after school. They baked 81 doughnuts, 92 brownies,

and 167 chocolate chip cookies.The bakery sells each treat for $.90What is the gross profit from sales

if the bakery sells all of the treats the girls baked?

Can you find the net profit from the information you have? Explain.

80.80.

S. saved $38 in September, $49 in October, and $43 in November.

She spent $114 on a video system. How much money does she have left?

If she wants to buy two video games for $45 each, how much more will she

need to save?About how long do you estimate it will take her to save the money?

81.81.

It takes 2 hours and 45 minutes to drive to Bush Gardens from

Daytona.

If the park opens at 9 a.m., what

time do we need to leave in

order to arrive

when the park opens?

82.82.

B. needs a container that will hold 1000

cubits of dirt for a science experiment.

She measures a containers length at

15 centimeters, width at 6 centimeters,

and height at 10 centimeters.

Will this container meet her needs?

Explain. Draw a picture of her container.

83.83.

Solve for C

162 X 2 – 15 + 200 = C + 47

= C

What was your Order of Operations?

84.84.

The city of Port Orange is holding a foot race.

The winner finished the race in 88 minutes last year.

If the winner finishes in 1 hour and 23 minutes this year, will

they beat last year’s time?EXPLAIN

85.85.

Which sign makes this sentence true?

786 X ½ 391

86.86.

Is 4880 divisible by 10?

Write the math equation.

Now create a division problem

with a remainder of 3?

87.87.

D. collected bugs for a school project.

She caught 61 in the backyard, 87 in

the park, and 35 on the playground.

About how many did she catch?

Twelve bugs escaped.

Create an equation to solve for B.

B = Bugs

88.88.

Choose two numbers from the box to

complete the division sentence.

÷ = 8

4 6 48 57 81

89.89.

A group of 421 campers wants to takes

row boats out on the lake. If each boat

holds 6 campers, how many boats will

be needed?

Write the equation.

90.90.

School Publishing Co. needs to ship

418 new textbooks to Port Orange

Elementary.

If each box holds 20 books, how many

boxes will they need in order to ship

the books?

Write the equation you used to solve

the problem.

91.91.

Complete the function table.

What is the rule?

IN OUT

4 2

8 4

18

20

20

100

92.92.

J. found 25 agates near the river’s bank.

N found some also. When they put them

together they had a total of 39 agates.

Write an equation to show how many

agates were found by N.

Make A equal Agates

93.93.

There are 300 chairs set up in the

auditorium for an assembly. After the

assembly, the chairs will be put away in

stacks of 16. How many chairs will be in

the last stack?

The side closet can only hold 1/4 of the

stacks of chairs. How many stacks will

be stored in the stage closet?

94.94.

Examine the table

Which grade level consumed the most pizza in

2005? 2008? 2011?

Has pizza consumption increased or decreased over the last six years?Prove your answer.

Grade Level 2005 2008 2011

KINDERGARTEN 110 121 116

FIRST 108 100 111

SECOND 97 103 86

THIRD 118 120 111

FOURTH 88 93 104

FIFTH 79 86 105

95.95.

There are 273 people in line to ride the

roller coaster before the park closes. If 36 people can ride each time, how many times will the ride

have to run for everyone in the line to have a turn?

Will the cars be full on the last ride?

It takes 4 minutes for the ride to run and to reload the cars. How long will the last group of people

have to wait to have their turn?

96.96.

This cylinder has been cut on the vertical.

Draw the pattern that will result if you

open and flatten the cylinder.

97.97.

An electrician needs to buy 81,000 centimeters of electrical tape.

How many rolls of tape should she order if each roll holds

900 centimeters of tape?If each roll costs $25 what will the

total price be?How much will she save if she uses her

10% off coupon?

98.98.

L. eats some plain pizza and S. ate

some pepperoni pizza.

This is a picture of the pizza they ordered.

How much pizza did L. eat?

99.99.

Draw a horizontal number line using whole numbers 0 – 10.

Draw a vertical number line using the same origin as your first line using whole numbers 0 – 10.

Label X and YPlot points ( 4, 2 ) and ( 2, 2 )

How far apart are the points?

100.100.

Complete the function table

S = d + 20

d S

6

7

8

9

101.101.

What geometric solid can you make

using this pattern?

Use construction paper to create this

pattern. Make the solid.

102.102.

G.G. Cereal Co. produces 48,000 ounces

of corn flakes each hour.

Each box contains 40 ounces of cereal.

How many boxes of cereal are

produced each hour?

Each box sells for $2.60 each. How much

does G.G. Cereal Co. make each hour?

Is this the net profit or gross profit?

103.103.

Part of the 4th grade is going on

a field trip next Thursday.

Thirty-three students will

be traveling by van. Each van can

hold 7 students and the driver.

How many vans will be needed

for the trip?

104.104.

Look carefully at the angles below.

What degree is each angle?

What is the total degrees of each shape?

105.105.

Port Orange needs about 8,000 slices of watermelon for the town picnic.

If each watermelon can be cut into 20 pieces, how many watermelons should

the city of Port Orange buy?Watermelon is on sale for $4.50 each

at the farmer’s market. Each slice will be sold at the picnic for $.50

What will the net profit be?

106.106.

Draw a grid with horizontal and vertical lines.

Mark whole numbers

0 through 15.

Label the X and Y axis.

Place the objects on the

grid. What are the

coordinate points for

each?

( X, Y )

school

library

food

home

107.107.

Volusia County had 443,000

residents in 2000. At the last census,

in 2010, there were 495,000 people

living in Volusia County.

How many new people moved here during the last 10 years?

If 25% of those people are under 18

years of age, how many people are

under 18 years of age?

108.108.

S. is cutting lengths of ribbon

for the school parade.

He wants to divide a piece of

ribbon 150 inches long into

40 equal lengths.

How long should be make

each length?

109.109.

The bake sale has brownies

left over after their sale.

Each pan holds 8 brownies.

These amounts were left in each pan.

3/8 5/8 1/8 5/8 2/8

How many pans of brownies

are left over?

110.110.

Complete the function table

What is the rule?IN OUT

60 10

48 8

42 7

5

3

2

1

111.111.

J. ordered 3 pizzas for the club meeting.

V. ate 2/5

H. ate 3/10

L. ate 6/5

and J. ate 4/10.

How much was left over?

Show your answer as a fraction.

Show your answer as a decimal.

112.112.

The city of Port Orange

was established

in April of 1867.

How old is Port Orange today?

How much older is Port Orange

than you are?

113.113.

A decimal is like a fraction.

It shows part of a whole.

Anything on the right of the decimal

point is less than 1 whole.

The farther we move to the right the

smaller the number.

Express these numbers as decimals.

1/4 2/5 8/100 47/100

ONES tenths hundredths

.

114.114.

Practice writing decimals as words.

0.27 is twenty-seven hundredths.

Write each of the following decimals

as words.

0.45 1.73 0.72

Read the decimal as “and”

3.2 reads: three and two tenths

115.115.

Identify the diameter and the radius of this circle.

A

W D

If the diameter is 12, what is the radius?

Q

116.116.

There were 4 people who ran for president of the

Science Club. This table shows the

fraction of the total votes each person received.Which person got the

most votes?How many votes were

cast in all?

PERSON FRACTION OF TOTAL VOTES

1 24 / 100

2 4 / 100

3 12 / 100

4 60 / 100

117.117.

A small city has a population of

156,000 people.

What is the place value of each

digit in the number 156,000?

How many more people do they

need to have a population of 200,000?

118.118.

In a survey, 40 out of 100 people

said they eat cereal for breakfast

morning. What decimal shows the

value 40 out of 100?

Write it as a fraction.

Reduce the fraction.

119.119.

Write an expression that is

equivalent to

( 6 X 3 ) X 9

Solve your equation.

120.120.

The heaviest house cat on record

weighed 47 pounds.

The heaviest dog on record

weighed 319 pounds.

Write an expression to

find the difference between the

cat’s weight and the dog’s weight.

Solve your equation.

121.121.

List all of the factors of 24.

What do you notice about each of

these numbers?

122.122.

Jimmy wants to buy enough chicken

so each of the 8 people at his

party can have 3 pieces.

How much chicken should he buy?

The chicken is sold 10 pieces in

each bucket. How many buckets

should he buy?

How much will be left over?REMEMBER JIMMY NEEDS TO EAT TOO.

123.123.

You are downloading a game onto

your computer from the Internet. Look closely at the bar below to see about how much of the game has already

been loaded.

Show your answer as a fraction and a percent.

124.124.

The highest temperature ever recorded

in Florida was 109 degrees.

The highest temperature recorded in

the United States was 134 degrees.

How much hotter is 134 degrees than

109 degrees?

Predict the location of the 134 degree temperature. Support your answer.

125.125.

When I went to the Sea World I saw

an anglerfish that was 4 feet 6 inches

long. How many total inches long

was the anglerfish?

What do you know about the anglerfish?

Describe or draw a picture of this very

unique fish.

Remember: 1 foot = 12 inches

126.126.

The plane figure below is a rectangle.

The 4 sides are marked A, B, C, and D.

A

B C

D

Which sides are parallel?

Which sides form right angles?

Which sides are the same length?Which sides are

perpendicular?

127.127.

Playing a game of checkers is lots

of fun. What is the area of this

checkerboard?

What is the perimeter?

128.128.

The function table

below shows the

value of boat over a

4 year period.

Draw the chart and

continue the pattern

to show the value

after 7 years.

VALUE OF BOAT IN DOLLARS

AGE OF BOAT IN YEARS

$12,000 1

$11,500 2

$11,000 3

$10,500 4

5

129.129.

Use graph paper to draw a grid that is

10 X 10.

Label X and Y

Draw a triangle at point (2, 7)

Draw a heart at point (3, 2)

Draw a square at point (7, 2)

Draw a star at point (8, 1)

130.130.

A fisherman will pay you 10 cents for

every worm you find. Let W stand for

the number of worms you find. Write an

expression to represent what you

will be paid.

Now solve for W if you find 18 worms.

131.131.

I need a new refrigerator. What unit

of measure is MOST appropriate for

measuring the height, width, and length

of a refrigerator?

I have an opening in my kitchen that is

32 inches wide and 66 inches tall. Will

a new side by side refrigerator fit if it’s

dimensions are 3 feet X 3 feet X 6 feet?

132.132.

The County Fair has a large Ferris

wheel with 18 seats.

Remember that there are 360 degrees

in a circle.

At what degree is each seat located?

Draw the Ferris wheel to show your answer.

133.133.

You must be at least 18 years of age to vote for the president of the United States. Let A stand for the age of a voter. Write an expression to show

the age of a voter. The oldest person to ever vote was 103.If she voted in ever presidential election,

how many times did she vote.

(PRESIDENTIAL ELECTIONS ARE HELD EVERY 4 YEARS )

134.134.

I have ordered a new washer and dryer.

I must pay to have them shipped.

What is the most appropriate unit of

measure for finding the weight of a

washer and dryer?

I had to pay $50 in shipping costs.

If the shipping company charges

25 cents per pound how much do my

washer and dryer weigh?

135.135.

The fourth grade class took a field trip

to the fort in St. Augustine.

The trip lasted a total of 7 hours.

The students climbed on the bus at

8:30 a.m. Draw a clock to show what

time the students returned to school

after their trip to Castillo de San Marcos.

math mountain

Documents