Transcript MATH MOUNTAIN

MATH
MOUNTAIN
135 Challenge Math Questions
1.
? Draw cubes, flats, rods, and ones to
show the number: 1,583.
2.
Write this number using words?
3,654
Write this number in expanded notation.
3.
What number does this Roman
numeral represent?
XXXIII
4.
List all of the PRIME
numbers between
0 and 30.
5.
Round 21, 579 to the
nearest thousand.
Write the number using digits.
Write in expanded notation.
Write the number using words.
6.
Multiply 11 times 8.
Is your answer
odd or even?
How many sets do you have?
How many elements in each
set?
7.
Draw a number line that
shows all numbers
3< x <15
8.
Pieces of mail delivered
Day
Number of pieces of mail
Thursday
6,822
Friday
6,832
Saturday
6,382
Monday
6,632
How many more pieces of mail need to be
delivered to equal 30,000?
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.
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.
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.
Identify each solid figure. Select one and draw
each of its sides.
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.
Many times fractions can be REDUCED.
Reduce these fractions to their lowest form.
40/100
6/18
10/50
30/90
3/9
25/100
15.
Make a guess. What is the approximate angle
made on each circle?
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.
Identify each angle. Which is
ACUTE, OBTUSE, RIGHT, or STRAIGHT.
A
B
C
D
18.
Show each transformation with the shape below.
translation - slide
90 degree rotation
45 degree rotation
reflection
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.
If you were standing above this flat and
rod, what would you see? Draw the top
view of these base 10 blocks.
21.
Per cent = per 100
Cent = 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.
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
pond
school
basketball
Store
playground
.5
mile
I mile
Jordan’s house
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.
List all possible ways to pay for a
slice of pizza that costs $1.75
( Hint: make a chart )
25.
What is the value of each digit
below?
69,341.258
26.
What number does this Roman
numeral represent?
LXXXVII
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.
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.
Draw cubes, flats, rods, and ones
to show the number: 2,948.
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.
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.
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.
What number does this Roman
numeral represent?
LXXXVII
34.
List all of the PRIME
numbers between
0 and 39.
Now add them all up.
35.
Round 35, 494 to the
nearest thousand.
Write the new number.
Write the number using words.
36.
Multiply 7 times 11.
Is your answer
odd or even.
Write your answer using
expanded notation.
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.
Draw a number line that
shows all numbers
16< x <54
Create a equation that is outside
these parameters.
39.
Pieces of mail delivered
Day
Number of pieces of mail
Thursday
6,822
Friday
6,832
Saturday
6,382
Monday
6,632
Estimate the number of pieces of mail that
will be delivered on Wednesday based on
the chart.
40.
Complete the pattern.
What is the rule?
+ 8 = 10
+ 80 = 100
+ 800 = 1000
+ 8000 = 10000
41.
Round this number to the:
Hundreds place ___________
Thousands place ___________
Ten thousands place ___________
Hundred thousands place _________
753,642
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.
J. and E. want to sell key chains at the
farmer’s market.
J. ordered 203 and E. ordered 419.
How many key chains did they order in all?
If each costs $.20 how much money
do they need?
If they sell each for $.50 what will be
their total profit?
44.
Complete the pattern.
What is the rule?
4 - 2
=
40 - 20
=
400 - 200
=
4000 - 2000 =
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.
associative
-
commutative - identity
(I+j)+k=I+(j+k)
Which property of addition is shown?
What is the definition of each property?
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.
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.
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.
Complete the pattern.
What is the rule?
5
15
10
30
60
30
Can you extend the pattern?
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.
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.
Which sign will make this math
sentence true?
1000
50 X 22
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.
If
700 ÷ 70 = 10
Then 70 X 10 =
Which property does this illustrate?
Design another equation that illustrates
the same property.
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.
2 6 8 10 14 72
Which two numbers in the box
have a quotient of 9?
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.
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.
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.
Quadri means 4 and lateral
means side.
All 4 sided polygons are
quadrilaterals.
Draw and identify at least
4 different quadrilaterals.
62.
ROLLER COASTER
4 TICKETS
BUMPER CARS
2 TICKETS
FLUME RIDE
5 TICKETS
FERRIS WHEEL
3 TICKETS
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?
63.
13,739 X 1
13, 749
Which sign makes this math
sentence true?
Create an equation that uses the
same sign.
64.
Draw cubes, flats, rods, and ones
to show the number: 2,724.
65.
Write this number using words?
7,315
Write the number in expanded
notation.
Challenge: What is special about these digits?
66.
What number does this Roman
numeral represent?
CLXXVII
What are the Roman numerals for
the date: 2013
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.
List all of the PRIME
numbers between
0 and 100.
Use all of them to create an
equation.
Put it in the IDEA jar.
69.
Round 64, 428 to the
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.
Multiply 12 times 11.
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.
Draw a number line that
shows all numbers
1< x <74
Create an equation within these
parameters.
72.
Pieces of mail delivered
Day
Number of pieces of mail
Thursday
6,822
Friday
6,832
Saturday
6,382
Monday
6,632
Use the chart to estimate the number of
pieces of mail that will be delivered
each month.
REMEMBER: MAIL IS NOT DELIVERED ON SUNDAYS
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.
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.
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.
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.
Complete the chart.
What is the rule?
5
÷
=1
50
÷
= 10
÷
= 100
5000 ÷
=
78.
Solve for N
3 X 7 + 8 + 3 – 16 = N
N=
What was your Order of Operations?
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 $.90
What 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.
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.
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.
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.
Solve for C
162 X 2 – 15 + 200 = C + 47
= C
What was your Order of Operations?
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.
Which sign makes this sentence true?
786 X ½
391
86.
Is 4880 divisible by 10?
Write the math equation.
Now create a division problem
with a remainder of 3?
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.
4
6 48
57
81
Choose two numbers from the box to
complete the division sentence.
÷
= 8
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.
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.
Complete the function table.
What is the rule?
IN
OUT
4
2
8
4
18
20
20
100
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.
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.
Examine the table
Which grade level consumed the most pizza in
2005?
2008?
2011?
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
Has pizza consumption increased or decreased over the last six years?
Prove your answer.
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.
This cylinder has been cut on the vertical.
Draw the pattern that will result if you
open and flatten the cylinder.
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.
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.
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 Y
Plot points ( 4, 2 ) and ( 2, 2 )
How far apart are the points?
100.
Complete the function table
S = d + 20
d
6
7
8
9
S
101.
What geometric solid can you make
using this pattern?
Use construction paper to create this
pattern. Make the solid.
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.
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.
Look carefully at the angles below.
What degree is each angle?
What is the total degrees of each shape?
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.
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.
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.
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.
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
How many pans of brownies
are left over?
2/8
110.
Complete the function table
What is the rule?
IN
OUT
60
10
48
8
42
7
5
3
2
1
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.
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.
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.
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.
Identify the diameter and the radius
of this circle.
A
Q
W
D
If the diameter is 12, what is the radius?
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.
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.
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.
Write an expression that is
equivalent to
(6X3)X9
Solve your equation.
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.
List all of the factors of 24.
What do you notice about each of
these numbers?
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.
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.
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.
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.
The plane figure below is a rectangle.
The 4 sides are marked A, B, C, and D.
Which sides are
A
parallel?
Which sides form
right angles?
Which sides are
the same length?
Which sides are
perpendicular?
B
C
D
127.
Playing a game of checkers is lots
of fun. What is the area of this
checkerboard?
What is the perimeter?
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.
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.
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.
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.
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.
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.
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.
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.