Grade 5 - Anytime Problems

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Unit 1, Lesson 1
Jack has homework in Math,
Language Arts and Spanish. In
how many different orders can
he complete his assignments?
6 (MLS, MSL, LMS, LSM, SML,
SLM)
Unit 1, Lesson 2
A florist divided 147 roses into
bunches of 6. She had some
roses left over, so she
combined them with carnations
to get a total of 6 flowers.
How many carnations did she
use?
3 carnations
Unit 1, Lesson 3
Walter saw a display of towers
made from boxes. The first tower
used 1 box, the second tower used
8 boxes, the third tower used 27
boxes, the fourth used 64 boxes,
and so on. If this pattern
continued, how many boxes were in
the one hundredth tower?
Find the pattern. Rule: Multiply the figure
number 3 times, example: 4 X 4 X 4 = 64.
Apply the pattern to the one hundredth
term: 100 X 100 X 100 = 1,000,000 boxes.
Unit 1, Lesson 4
Asha, Barry, and Calli have
change in their pockets. Asha
has three times as much money
as Barry and twice as much
money as Calli. Together, they
have 55¢. How much money
does Barry have?
10¢
Unit 1, Lesson 5
Valerie made 1 lb. of pizza dough.
She cut the whole into 12 pieces
and then placed it into packages.
She sold one package and had 5/6
of the whole left. She sold another
package and had 2/3 of the whole
left. How much does the dough in
each package weigh? How many
packages were made? Explain.
The whole was cut into twelfths. There are 2
pieces in each package weighing 2/12 lb. or
1/6 lb. There are 6 packages in all.
Unit 1, Lesson 6
Cassie used a piece of wire to
make a rectangle with side
lengths 8 inches and 4 inches.
Then she reshaped the wire to
form a square. What was the
area of the square?
36 square inches
Unit 1, Lesson 7
A pet store sells only cats and
birds. They have twice as many
birds as cats. Altogether the
animals in the store have 40
legs. How many of each type of
animal does the store have?
5 cats and 10 birds
Unit 1, Lesson 8
Alfie had twice as many
markers as Bart. Then Bart
lost 5 markers. Now Alfie has
three times as many markers
as Bart. How many markers
does each boy have now?
Alfie has 30; Bart has 10
Unit 1, Lesson 9
On Saturday, Shante met a friend
for lunch. She spent $2 to take a
bus downtown. She spent half of
the money she had left on lunch.
Then she ran into another friend
who returned $4 he owed her. She
spent $2 on the bus ride home.
When she arrived at home, she had
$8. How much did she have when
she left the house?
$14
Unit 1, Lesson 10
Rodney cut a long piece of
wood into fourths. Then he cut
each fourth in half. He gave
away 6 of the pieces. The
length of the two remaining
pieces is 8 inches in all. How
long was the original board?
32 in.
Unit 1, Lesson 11
Write two fractions, using
each of the numbers 2, 3, 4,
and 7 only once. The sum of
these fractions should simplify
to 1 1/28.
¾, 2/7; ¾ + 2/7 = 21/28 + 8/28
= 29/28 = 1 1/28.
Unit 1, Lesson 12
In how many different ways
can you make a rectangle with
24 square tiles? Give the
dimensions of each possible
rectangle. Which has the
greatest perimeter? Which
has the least perimeter?
4 ways; 1 by 24, 2 by 12, 3 by 8, 4 by
6; 1 by 24 has the greatest perimeter;
4 by 6 has the least perimeter.
Unit 1, Lesson 13
One-half of the marbles in a
box are blue, one-third are
green, and the remaining 10
marbles are red. How many
marbles are in the box?
60
Unit 2, Lesson 1
Each rectangular photograph in a
series has different dimensions
that follow a pattern. The 1st
photo has a length that is half
its width and an area of 8 sq. in.
The 2nd is a square with an area
of 16 sq. in. The 3rd has a width
that is 2 inches less than the
length and an area of 24 sq. in.
What are the dimensions and
area of the fifth photo? Explain
your answer.
40 sq. in., l = 10 in., w = 4 in.,
Possible explanation: 1st photo A
= 2 in. X 4 in. = 8 sq. in.; 2nd photo
A = 4 in. X 4 in. = 16 sq. in.; 3rd
photo A = 6 in. X 4 in. = 24 sq. in.;
in each photo, w = 4 in., length
equals the figure number times 2
in. So, for the 5th photo, w = 4
in., l = 5 X 2 = 10 in. and A = 10 in.
X 4 in. = 40 sq. in.
Unit 2, Lesson 2
Ty needs $115 for a trip. He has
$25 saved. To earn the rest, Ty
works 3 hours per day 3 days per
week. He received a $2 an hour
raise and now earns $8 an hour. For
taxes, $5 per day is subtracted
from his earnings. If Ty works for
one week, how many more days
must he work to earn the money?
2 days; $115 - $25 = $90; $57 per week ($8 X 9 hr. = $72,
$72 - $15 = $57); $90 - $57 = $33 more needed; $19 per day
($8 hr. X 3 hr. = $24, $24 - $5 = $19); $33 - $19 = $14 which
he can earn in 2nd day of second week.
Unit 2, Lesson 3
Tyra and Kyle bought packages of
paper plates. Each package had the
same number of plates. Tyra
bought a total of 32 plates and
Kyle bought a total of 56 plates.
How many paper plates could have
been in each package? Explain how
you found your answer.
1, 2, 3, or 8 plates; 1, 2, 4, and 8
are factors of 32 and 56.
Unit 2, Lesson 4
A rectangle has a perimeter of
10 cm and an area of 6 sq. cm.
If the length and width triple
in length, will the perimeter
also triple? Use the rectangle’s
dimensions to show your
answer is correct.
Yes; if l = 2 and w = 3, then A = 6 sq cm; P = 2
X (2 + 3) = 10 cm; Tripled: 2 X 3 = 6 and 3 X
3 = 9; P = 2 X (6 + 9) = 30 cm.
Unit 2, Lesson 5
The teacher had two pieces of
fabric with two equal lengths. She
cut one into 10 equal pieces and the
other into 100 equal pieces. Carla
used 7 out of the 10 pieces. Each
piece is 10 in. long. Rodrigo used 74
out of the 100 pieces. Each piece is
1 in. long. Who had fewer inches of
fabric remaining? Express this
amount as a fraction and a decimal
of the whole piece.
Rodrigo; 26 in., 26/100 and 0.26.
Unit 2, Lesson 6
Adam wanted to place a fence
around his garden that measures
7.3 yd. long and 2.5 yd. wide He
found the perimeter to be 1.96
yd. He knows this amount must
be incorrect. What happened?
Give the correct perimeter.
Possible answer: The perimeter must be
greater than the length of any side. He
used 0.73 yd. for the length and 0.25 yd.
for the width. The perimeter is 19.6 yd.
Unit 2, Lesson 7
Each student needs 5 inches of
string. Paul and Mari did not
have any. The teacher gave
Paul ¼ of the string from the
school supply closet. Then Paul
gave ½ of this to Mari. Mari
had just enough string. How
much string is left in the
school supply closet?
30 in.; Mari had 5 in. That is half of 10 in. Ten in. is one
fourth of 40 in. 40 – 10 = 30.
Unit 2, Lesson 8
Linh has red, white, and black
shirts. She has khaki, black, and
white pants. She does not wear
the same color shirt and pants
together and does not wear
white with black. Can she make 8
outfits? If not, what can she do
so she will be able to?
Possible answer: No, she can only make 5 outfits.
If she bought a blue shirt, she could make 8
outfits, because it does not match any pants.
Unit 2, Lesson 9
Tara earned twice as many
points as Jerome. Jerome’s
points are exactly three times
more than Wylie’s points.
Altogether they have 40
points. How many points does
each person have?
Wylie: 4 pts.; Jerome: 12 pts.;
Tara: 24 pts.
Unit 2, Lesson 10
The sum of three different
unit fractions is 1. Name the
fractions.
½, 1/3, 1/6
Unit 3, Lesson 1
Ben, Jen, and Len have made
17 sand castles. Ben and Jen
made 8 castles. Ben and Len
made 11 castles. How many
castles did each make?
Ben made 2 castles; Jen, 6
castles; Len, 9 castles.
Unit 3, Lesson 2
Beth started to add the first
30 odd numbers and noticed a
pattern that helped her find
the sum quickly. What is the
sum of the first 30 odd
numbers?
The sum: 900. The sum of the
first n odd numbers is n●n. So,
30●30 would give the solution.
Unit 3, Lesson 3
Find the number that is 0.001
greater than each of the
numbers below. Then find the
number that is 0.001 less than
each number.
1) 0.001
2) 0.011
3) 0.11
4) 1.11
1) 0.002 and 0; 2) 0.012 and 0.01; 3)
0.111 and 0.109; 4) 1.111 and 1.109
Unit 3, Lesson 4
Of 14 students waiting for the
bus, 7 are wearing jackets, 6
are wearing gloves, and 3 are
wearing both jackets and
gloves. How many students are
not wearing either jackets or
gloves?
4 students
Unit 3, Lesson 5
Jamal and Kim bought supplies
for the science club. They
spent half of the supply fund
on microscope slides. Then
they spent half of the
remaining amount on staining
solution. After this, $6.75 was
left. How much was in the fund
before they shopped?
$27.00
Unit 3, Lesson 6
Zoey is a dog walker. She walks
Maddie every 3 days, Daisy
every 4 days, and Bosco every
6 days. She walked all three
dogs today. In how many days
will she walk all three dogs
again?
12 days
Unit 3, Lesson 7
Paco wanted to make a frame for a
rectangular plaque that measures 7
inches by 10 inches. He bought 34
one-inch cubes to glue around the
outside edge of the plaque. He had
not glued all the way around the
plaque when he had used all his
cubes. What went wrong?
He forgot to buy cubes for the
four corners.
Unit 3, Lesson 8
Paul has written notes to three
friends: Al, Bud, and Chuck. He
puts the notes into the
addressed envelopes, but
realizes he wasn’t paying
attention to matching notes with
envelopes. In how many ways
could none of the notes be in the
right envelopes?
Two ways: if the first letter is the note and the
second is the envelope: AC-BA-CB; AB-BC-CA.
Unit 3, Lesson 9
Mr. Goldstein is 4 times as old
as his daughter Anna. In 4
years, he will be 3 times as old
as Anna. How old is Anna now?
8 years old
Unit 3, Lesson 10
Gina has 24 feet of fencing to
fence four sides of a
rectangular herb garden. If
she makes all sides at least 3
feet long and all lengths whole
numbers, what garden sizes
can she make?
The possible dimensions, given in feet are: 3
X 9, 3 X 8, 3 X 7, 3 X 6, 3 X 5, 3 X 4, 3 X 3,
4 X 8, 4 X 7, 4 X 6, 4 X 5, 4 X 4, 5 X 7, 5 X
6, 5 X 5, and 6 X 6.
Unit 3, Lesson 11
Place plus signs ( + ) between
the digits of 9876543 so the
resulting sum is 150.
9 + 8 + 76 + 54 + 3 = 150
Unit 3, Lesson 12
The sum of three whole
numbers in a row is 57. What
are the three numbers?
18, 19, 20
Unit 3, Lesson 13
Mia has won 5 of 6 games of
checkers with her mother.
After 30 more games, Mia had
won twice as many games as
she had lost. How many more
games did she win?
19 games
Unit 3, Lesson 14
The amount of flour that is
needed to make two servings
of a recipe is ¼ cup. How many
servings can be made from 1 ½
cups of flour?
12 servings
Unit4, Lesson 1
Abby, Bill, Carl, and Devon are
standing in line at the water
fountain. Abby is right behind
Carl, but not last. Bill is right
in front of Devon. In what
order, from first to last, are
they standing in the line?
Carl, Abby, Bill, and Devon
Unit 4, Lesson 2
Name four consecutive even
numbers that have a sum of
100.
22, 24, 26, 28
Unit 4, Lesson 3
Tina painted a wall in her
bedroom. It was 10 feet high
and 13 feet long. She said she
painted more than 100 square
feet. Ben said she painted less
than 100 square feet. Who is
right?
Tina painted 130 sq. ft. so she
is right.
Unit 4, Lesson 4
Zack arranged his model cars
according to a pattern. He put
15 cars in the first row, 16 in
the second, and 17 in the third.
How many cars are in the first
6 rows if the pattern
continues?
105 cars
Unit 4, Lesson 5
Pierre has a book with 500
pages. It is opened to two
consecutive pages with page
numbers that have a sum of
709. What are the two page
numbers? Explain how you
found your answer.
Possible explanation: Use mental
math, 350 + 350 = 700; 5 + 4 = 9;
354 + 355 = 709
Unit 4, Lesson 6
Cory and Sam agreed to equally
share expenses on a trip. Sam
paid $124.70 for their 8 meals.
Cory paid for 32 gallons of gas
that cost $3.24 per gallon.
What was each boy’s share of
these expenses?
$114.09
Unit 4, Lesson 7
Cartons of beads sell for
$16.00 each. Bill predicts that
the price will increase by 75
cents each year for the next
decade. If his prediction if
true, in how many years will
the price be more than $20?
6 years
Unit 4, Lesson 8
Layla wants to buy grapes at
$0.74 a pound. The scale says
she has 0.5 pound of grapes.
How much will she pay?
0.5 X $0.74 = $0.37
Unit 4, Lesson 9
At 7:34, as shown on a digital
clock, the sum of the minute
digits (3 and 4) equals the hour
digit (7). How many times will the
sum of the minute digits equal
the hour digit when the hour
digit is 9? When the hour is 11?
When the hour digit is 1?
6 times; 4 times; two times: 1:01
and 1:10
Unit 4, Lesson 10
Heather plans to mow lawns to
earn extra money. She will
charge $25.00 for each lawn
she mows. She estimates that
she will be able to save all the
money except for $3.00 per
lawn. How many lawns will she
need to mow in order to save
$200?
10 lawns
Unit 4, Lesson 11
Derrick drove 15 miles at an
average rate of 30 miles per
hour. Beth drove 40 miles at an
average rate of 50 miles per
hour. Which person drove for a
longer time?
Beth drove for 48 min. and
Derrick drove for 30 min, so
Beth drove longer.
Unit 4, Lesson 12
At a school supply store, the
cost of two pencils is $0.25. If
the storeowner pays $0.06 for
each pencil, how much profit is
earned if a shopper spends $3
for pencils?
$1.56
Unit 5, Lesson 1
The number of marbles Marci
has is 2/3 the number Tanya
has. Together they have 40
marbles. How many marbles
does Tanya have?
24 marbles
Unit 5, Lesson 2
Students are putting 3 muffins
and 2 scones into each bag for
a bake sale. They begin with
375 muffins and 240 scones.
How many full bags can they
make? How many muffins or
scones will be left over?
120 bags with 15 muffins left
over
Unit 5, Lesson 3
A rectangular garden has
dimensions that are each a
whole number of feet. The
perimeter of the garden is 22
feet and its length is 3 feet
greater than its width. What is
its area?
Its dimensions are 4 by 7, so its
area is 28 square feet.
Unit 5, Lesson 4
Lee told Jorge he was thinking
of a four-digit number that
has a 3 in the thousands place.
He said there are no ones and
the number is divisible by 4.
The digit in the thousands
place. What number might Lee
be thinking of?
Answers will vary. Possible
answer: 3,860
Unit 5, Lesson 5
James is building a fence
around a 9 foot by 12 foot
garden. He starts in one corner
and puts a stake every 3 feet.
How many stakes will he need?
14 stakes
Unit 5, Lesson 6
To ride his bike to school,
Emilio rides 2 blocks west, 5
blocks north, and then 3 blocks
west. To get home, he rides 5
blocks south, and then he rides
east. How many blocks does he
ride east to get back home?
5 blocks
Unit 5, Lesson 7
Lin wrote a report about her
family. She wrote that her
great-grandmother was born in
November of 1897 and got
married at the age of 23 in
January of 1920. What is
wrong with Lin’s statement?
Her grandmother was 22 when
she got married; she turned 23
in November of 1920
Unit 5, Lesson 8
Mr. Garcia’s class is going on a
field trip. The bus is scheduled
to leave school at 8:30 a.m. and
return at 4:15 pm. For how
many hours will Mr. Garcia’s
class be away from the school?
7 ¾ hours
Unit 5, Lesson 9
If you double both the length
and the width of a rectangle,
how does the area change?
Test several examples and
then make a conjecture.
The area is multiplied by 4.
Unit 5, Lesson 10
Tia starts the year with no
money and then saves $5 a
month. Mark starts the year
with $100 and then spends $15
a month. After how many
months will Tia and Mark have
the same amount of money?
5 months
Unit 5, Lesson 11
A hiking trail is 2.4 miles long.
Two hikers walked 2 3/8 miles
along the trail. Did they walk
the entire trail? Explain your
thinking.
No; 2 3/8 = 2.375, and 2.375 ‹
2.4
Unit 6, Lesson 1
In a toothpaste survey, 5 of the
first 15 people surveyed
preferred the same toothpaste.
If 30 people will be surveyed
altogether, predict the number
of people who will prefer a
different toothpaste. Give a
reason to support your answer.
20: Sample explanation: 10 of the first 15
people surveyed, which is 2/3 of the people,
preferred a different toothpaste; 2/3 of 30
is 20.
Unit 6, Lesson 2
Tyler, Kyra, and Emily finished a
race in first, second, and third
places. Tyler finished 1 second
behind Emily. How many
different ways could the three
runners have finished the race?
Explain how you found your
answer.
3 ways; Possible explanation: Make an organized list and
delete arrangements using the condition Tyler cannot be first
and always has to be behind Emily. The three different ways
are: 1 Kyra, 2 Emily, 3 Tyler; 1 Emily, 2 Kyra, 3 Tyler; 1 Emily,
2 Tyler, 3 Kyra
Unit 6, Lesson 3
One-half the number of
students in the Art Club is
equal to three-fourths the
number of students in the
Math Club. If there are 8
students in the Math Club, how
many students are in the Art
Club? Explain how you found
your answer.
12 students; ¾ of the 8 Math Club students is 6
students, and 6 students is ½ of the number of Art
Club students. So, 12 students are in the Art Club.
Unit 6, Lesson 4
Julissa saw people walking dogs
in a park. Altogether, she
counted 24 legs and 8 heads.
How many people and dogs did
Julissa see?
4 people and 4 dogs
Unit 6, Lesson 5
Victoria will serve each of 58
guests one mini hamburger. Each
hamburger uses 1/8 lb. of meat
and a roll. Meat costs $4.39 a
pound and rolls cost $3.82 for a
package of 6. About how much
will it cost to buy supplies for
the guests? Explain your answer?
Sample answer: about $80; 58 rolls is close to 60,
10 packs of rolls at $4 each = $40; 58 burgers is
close to 64 burgers, 1 lb. = 8 burgers, 8 lbs. at
about $5 per lb. = $40; $40 + $40 = $80.
Unit 6, Lesson 6
A number is a prime number if
it has only itself and 1 as
factors. How many numbers
greater than 90 and less than
100 are prime numbers? Write
the numbers.
One; 97
Unit 6, Lesson 7
A science class has 24
students. More than 2/3 but
less than ¾ of the class earned
an A on the first quiz of the
year. How many students
earned an A?
17 students
Unit 6, Lesson 8
A number is a composite
number if it has more than two
factors. How many numbers
greater than 40 and less than
50 are composite numbers?
Write the numbers.
Six: 42, 44, 45, 46, 48, and 49
Unit 6, Lesson 9
Shawna sold 18 friendship
bracelets for a profit of $45.
How much profit was earned
for the sale of each bracelet?
$45 ÷ 18 = $2.50
Unit 6, Lesson 10
Decide if each statement is true or
false. If a statement is false, give
a counterexample.
a.
The sum of three consecutive
whole numbers is an even
number.
b.
If the product of two factors
is divisible by 8, then at least
one of the factors must be
divisible by 8.
a. False. Possible counterexample: 2 + 3 + 4 =9.
b. b. False. Possible counterexample: The product 4 X 6 is
divisible by 8, but the factors are not.
Unit 6, Lesson 11
In the game of baseball, there
are 3 outs per inning. A pitcher
who pitches 4 innings and gets
two batters out in the fifth
inning is reported in newspapers
as having pitched 4.2 innings. Is
this correct? Explain your
reasoning.
No; 4.2 innings means 4 2/10
innings. A pitcher who pitches for 4
innings and 2 outs of the next
inning has pitched 4 2/3 innings.
Unit 7, Lesson 1
A bike shop has 35 bicycles
and tricycles with a total of 81
wheels. How many bicycles and
how many tricycles are in the
shop?
24 bicycles; 11 tricycles
Unit 7, Lesson 2
Mr. Montero wants to
withdraw money from an ATM,
but he can’t remember his 4digit PIN number. He knows it
has the digits 2,6,8,9. He
remembers that the first digit
is 6. List all the PIN numbers
that fit this description.
2896,2986,8296,8926
Unit 7, Lesson 3
Cassie has $3.63 left after
buying 3 books for $5.79 each.
How much money did she have
before she bought the books?
$21.00
Unit 7, Lesson 4
Marshall slices pizza for
customers at a restaurant. He
slices medium pizzas into 4 slices
and medium pizzas into 6 slices.
Last night he sliced 6 more small
pizzas than medium pizzas. How
many pizzas of each size did he
slice if he made a total of 144
slices?
18 small and 12 medium pizzas
Unit 7, Lesson 5
The community gym has 1,560
members. This is 1.5 times as
many members as it had last
year. How many members were
there last year?
1,040 members
Unit 7, Lesson 6
What number that is less than
125 will all three students say
if Alyssa counts aloud by 6s,
Kai counts aloud by 8s, and
Pedro counts aloud by 10s?
120
Unit 7, Lesson 7
Ms. Higgins baked a chicken for
dinner. It has been cooling on
the countertop for 15 minutes
after baking for 1 hour and 50
minutes. Ms. Higgins preheated
the oven for 10 minutes before
putting the chicken in to bake. If
it is 6 p.m. now, at what time did
Ms. Higgins turn on the oven?
3:45 p.m.
Unit 8, Lesson 1
Does had 3 ½ lb. of flour. She
used 1 ¾ lb. How much did she
have left?
1¾
Unit 8, Lesson 2
Taylor bought 4.4 liters of
paint to paint his room. If each
of the 4 walls needs 975
milliliters of paint to cover it,
how much paint will he have
left?
0.5 L or 500 ml.
Unit 8, Lesson 3
Kyle has to make a paint color
using 2 colors and a base. The
directions for making 0.75
liters of the paint call for 25
ml of cobalt blue pigment and
33 ml of crimson. The rest of
the paint is the base. How
much base does he need?
692 ml.
Unit 8, Lesson 4
Hugo has 12 red and 12 white
square tiles. The area of each tile
is 1 square inch. He uses the tiles
to make a rectangle with a length
that is 5 inches greater than the
width. Each row in the rectangle
has an equal number of red tiles
and white tiles. Describe the
rectangle. Sketch one possible
arrangement of the tiles.
Possible answer: There are 24 tiles. The factor pairs of 24
are: 1, 24; 2, 12; 3, 8; 4, 6. 8 – 3 = 5, so there are 3 rows of 8
tiles with 4 red and 4 white tiles per row. There are several
ways to arrange the tiles within the rows.
Unit 8, Lesson 5
Dani had 3 ½ lb. of flour. She
used 1 5/7 lb. According to her
calculation, she should have 2
3/14 lb. left. She actually has 1
11/14 lb. left. What mistake
did she make?
She switched the fractions
and subtracted: 3 5/7 – 1 ½ = 3
10/14 – 1 7/14 = 2 3/14.
Unit 8, Lesson 6
Charlie cut a whole piece of
pipe into halves. Then he cut
each half into thirds. He used
four of these pieces for a
project that needed a total of
36 cm of pipe. What was the
original length of the pipe?
54 cm; 36 X 4 = 9; 9 X 6 = 54
Unit 8, Lesson 7
Antwon wanted to pour all of
his water samples into a 3 L
bottle. He had two samples
that were 629 ml, one that was
433 ml, and another that was
1.25 l. Can all the samples fit
into the 3 l. bottle? If so, how
much more can he add, if not,
how much extra does he have?
Yes; he can add 59 ml more.
Unit 8, Lesson 8
Jamal is placing new
baseboards in a closet. The
length of the closet is 5 ft. 8
in. Its width is 4 ft. 10 in. Can
Jamal estimate the number of
feet of baseboard he needs or
does he need an exact amount?
Explain.
Possible answer: Jamal can round the measures up to
the greater number of feet (the length to 6 ft. and the
width to 5 ft.), and he will have a little more baseboard
than he needs.
Unit 8, Lesson 9
Ivetta knitted 4 rows and
placed a bead every fifth
stitch. Each row had the same
number of beads and ended
with a bead. She used a pack
with 14 beads and 2 beads left.
How many stitches were in
each row?
15 stitches; 14 – 2 = 12 beads; 12 ÷ 4 rows = 3
beads in each row; 3 beads X 5 stitches = 15
stitches
Unit 8, Lesson 10
Mark has $4 more than Angel.
Angel has $3 less than Kim.
Kim has three times as much
money as Frank has. Frank has
$4. How much money does
Mark have?
$13
Unit 8, Lesson 11
Hoon bought two packages of
paper. Each package has the
same number of sheets. He
used 16 sheets of paper from
one package, leaving 1/3 of
that package. How many sheets
of paper did Hoon buy in all?
48 sheets; 16 ÷ 2 = 8; 16 + 8 =
24; 24 + 24 = 48
Unit 8, Lesson 12
Fabric is on sale for these
prices: Oranges, $3 per yard;
blue, $4per yard; yellow, $2.50
per yard; and white $1.50 per
yard. Irma needs to buy 3
different colors of fabric with a
total length of 2 yards. She had
a budget of $6. What fabrics
could she buy?
Possible answer: 0.5 yd. blue for $2, 0.5 yd.
orange for $1.50, 1 yd. yellow for $2.50;
$2 + $1.50 + $2.50 = $6
Unit 8, Lesson 13
Vitor has an old roll of fifty
34¢ stamps and two dozen 5¢
stamps. What combination of
stamps will enable Vitor to
place the exact postage on a
large envelope that costs
$2.35 to mail?
Five 34¢ and thirteen 5¢
stamps
Unit 8, Lesson 14
Tell how many different
rectangles can be formed with
each number of square tiles.
1) 8 tiles
2) 12 tiles
3) 11 tiles
4) 24 tiles
1) 2; 2) 3; 3) 1; 4) 4
Unit 8, Lesson 15
Marcel has 2/3 as many video
games as Amelia. Together
they have 25 video games. How
many video games does Amelia
have?
15
Unit 8, Lesson 16
In Mr. Singh’s class, 17
students have a cat or a dog
(or both). If 9 students have
cats and 11 students have
dogs, how many students have
both a cat and a dog?
3
Unit 8, Lesson 17
Chet’s father is 5 times as old
as Chet. In 6 years, his father
will only be 3 times as old. How
old is Chet now?
6 years old
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