Math Problem Solving Challenges and Solutions
Proportions
Percent
GCF/LCM
Unit Rate
and Ratios
Decimals/Di
vision
50
40
30
20
10
20
30
40
50
10
20
30
40
50
10
20
30
40
50
10
20
30
40
50
10 Points
At the outdoor stadium, 15
Summer concerts were
completely sold out. A total
of 9,375 people attended the
concerts. Now many people,
on average, attended each
concert?
Answer:
625 People
20 Points
Jerry has 25 weeks left to
save $2,320 for a trip. If he
saves an equal amount each
week, how much money
does he save each week to
meet his goal?
Answer:
$92.80
30 Points
Allen bought a box of
envelopes and a pack of
paper for $4.50. He paid
with a $10 bill. How much
change should he receive?
Answer:
$5.50
40 Points
From a bolt of cloth
measuring 25.63 yards. Tina
cut out a 6.8-yard piece and
an 11.32 yard piece. How
much material is left on the
bolt?
Answer:
7.51 yard left on the
bolt of material
50 Points
A deli charges $3.45 for a
pound of turkey. If Tim
wants to purchase 2.4
pounds, how much will it
cost?
Answer:
$8.28
10 Points
Find the Unit Rate for the
following: 20 eggs to 5 chickens
Answer:
4 eggs to 1 chicken
20 Points
You have 10 apples, 5 bananas, and
15 oranges.
What is the ratio of bananas to
oranges in simplest form?
Answer:
1 banana to 3 oranges
1 banana : 3 oranges
1 banana / 3 oranges
30 Points
Find the Unit Rate for the
following:$13 for 4 DVDs
Answer:
$3.25 for 1 DVD
40 Points
You have 10 apples, 5
bananas, and 15 oranges.
What is the ratio of apples
and oranges to bananas in
simplest form?
Answer:
5 apples and oranges to 1 banana
5 apples and oranges : 1 banana
5 apples and oranges / 1 banana
50 Points
Which is the better buy?
12 eggs for $3
Or
30 eggs for $9
Answer:
12 eggs for $3 = $0.25 for 1 egg
30 eggs for $9 = $0.30 for 1 egg
So
12 eggs for $3 is the better buy
10 Points
Mrs. Davis is sewing vests.
She has 16 green buttons
and 24 yellow buttons. Each
vest will have the same
number of yellow buttons
and the same number of
green buttons. What is the
greatest number of vest Mrs.
Davis can make using all of
the buttons?
Answer:
8 vests
20 Points
A baker has 27 wheat bagels
and 36 plain bagels that will be
divided into boxes. Each box
must have the same number of
wheat bagels and the same
number of plain bagels. What is
the greatest number of boxes
the baker can make using all of
the bagels?
Answer:
9 boxes
30 Points
At a restaurant, after every
12
th
visit you receive a free
drink. After every 15
th
visit
you receive a free dessert.
At which visit will you first
receive a free drink and a
free dessert?
Answer:
Visit 60
40 Points
Starting today (day 1) Lee
will walk his dog Fido every
3
rd
day and his dog Fifi every
5
th
day. On which day will
Lee first walk both dogs
together? What will be the
third time Lee walks both
dogs together?
Answer:
15
th
day, 45
th
day
50 Points
Ms. Madison directs two
choruses. One chorus has 28
students. The other chorus has
36 students. For the rehearsals,
she wants to divide each chorus
into the largest possible equal
groups, with no students left
over. How many students will be
in each group?
Answer:
4 Students in each group
10 Points
Carey brought chocolate and
vanilla cupcakes to school
for her birthday. 16 students
decided to take a cupcake,
and 8 of them picked vanilla.
What percentage of the
students picked a vanilla
cupcake?
Answer:
50%
20 Points
Felix's Tea Shop has
caffeinated tea and
decaffeinated tea. During the
lunchtime rush, the tea shop
served 70 teas in all, 30% of
which were caffeinated. How
many caffeinated teas did
the tea shop serve?
Answer:
21 Caffeinated Teas were
served
30 Points
Jenna's Diner sold 80
milkshakes last week. 32 of
the milkshakes had whipped
cream on top. What
percentage of the
milkshakes had whipped
cream?
Answer:
40% had whipped cream
on top
40 Points
During second period,
Lauren completed a
grammar worksheet. Of the
76 questions, Lauren got
25% right. How many
questions did Lauren get
right?
Answer:
19 questions were correct
50 Points
66 out of the 88 teachers in a
school staff meeting were
first-year teachers. What
percentage of the teachers in
the meeting were first-year
teachers?
Answer:
75% of the staff are new teachers
10 Points
Robby jarred 10 liters of jam
after 2 days. How much jam
did Robby jar if he spent 9
days making jam?
Answer:
45 Liters of Jam
20 Points
Rosa took a total of 20
quizzes over the course of 4
weeks. After attending 9
weeks of school this quarter,
how many quizzes will Rosa
have taken in total?
Answer:
45 Quizzes
30 Points
Johnny learned to sing a
total of 8 pieces over the
course of 4 weeks of voice
lessons. After 7 weeks of
voice lessons, how many
pieces will Johnny be able to
sing, in total?
Answer:
He will be able to sing
14 pieces
40 Points
The ratio of boys to girls at
a rock concert was about
7 to 6. If there were 1092
boys at the rock concert,
how many girls were
there?
Answer:
936 Girls
50 Points
Ted likes to run long
distances. He can run 20 km
in 95 minutes. He wants to
know how many kilometers,
he will go if he runs at the
same pace for 285 minutes.
Answer:
60 Kilometers
Created by Educational Technology Network. www.edtechnetwork.com 2009
Practice your math skills with various problem-solving questions involving decimals, unit rates, ratios, GCF/LCM, percent, and proportions. Explore scenarios like calculating attendance averages, savings goals, change received from purchases, material remaining after cutting, and cost calculations for various items. The questions cover a range of mathematical concepts to test and enhance your problem-solving abilities.
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Presentation Transcript
Decimals/Di vision Unit Rate and Ratios GCF/LCM Percent Proportions 10 10 10 10 10 10 10 10 10 10 20 20 20 20 20 20 20 20 20 20 30 30 30 30 30 30 30 30 30 30 40 40 40 40 40 40 40 40 40 40 50 50 50 50 50 50 50 50 50 50
10 Points At the outdoor stadium, 15 Summer concerts were completely sold out. A total of 9,375 people attended the concerts. Now many people, on average, attended each concert?
Answer: 625 People
20 Points Jerry has 25 weeks left to save $2,320 for a trip. If he saves an equal amount each week, how much money does he save each week to meet his goal?
Answer: $92.80
30 Points Allen bought a box of envelopes and a pack of paper for $4.50. He paid with a $10 bill. How much change should he receive?
Answer: $5.50
40 Points From a bolt of cloth measuring 25.63 yards. Tina cut out a 6.8-yard piece and an 11.32 yard piece. How much material is left on the bolt?
Answer: 7.51 yard left on the bolt of material
50 Points A deli charges $3.45 for a pound of turkey. If Tim wants to purchase 2.4 pounds, how much will it cost?
Answer: $8.28
10 Points Find the Unit Rate for the following: 20 eggs to 5 chickens
Answer: 4 eggs to 1 chicken
20 Points You have 10 apples, 5 bananas, and 15 oranges. What is the ratio of bananas to oranges in simplest form?
Answer: 1 banana to 3 oranges 1 banana : 3 oranges 1 banana / 3 oranges
30 Points Find the Unit Rate for the following:$13 for 4 DVDs
Answer: $3.25 for 1 DVD
40 Points You have 10 apples, 5 bananas, and 15 oranges. What is the ratio of apples and oranges to bananas in simplest form?
Answer: 5 apples and oranges to 1 banana 5 apples and oranges : 1 banana 5 apples and oranges / 1 banana
50 Points Which is the better buy? 12 eggs for $3 Or 30 eggs for $9
Answer: 12 eggs for $3 = $0.25 for 1 egg 30 eggs for $9 = $0.30 for 1 egg So 12 eggs for $3 is the better buy
10 Points Mrs. Davis is sewing vests. She has 16 green buttons and 24 yellow buttons. Each vest will have the same number of yellow buttons and the same number of green buttons. What is the greatest number of vest Mrs. Davis can make using all of the buttons?
Answer: 8 vests
20 Points A baker has 27 wheat bagels and 36 plain bagels that will be divided into boxes. Each box must have the same number of wheat bagels and the same number of plain bagels. What is the greatest number of boxes the baker can make using all of the bagels?
Answer: 9 boxes
30 Points At a restaurant, after every 12th visit you receive a free drink. After every 15th visit you receive a free dessert. At which visit will you first receive a free drink and a free dessert?
Answer: Visit 60
40 Points Starting today (day 1) Lee will walk his dog Fido every 3rd day and his dog Fifi every 5th day. On which day will Lee first walk both dogs together? What will be the third time Lee walks both dogs together?
Answer: 15th day, 45th day
50 Points Ms. Madison directs two choruses. One chorus has 28 students. The other chorus has 36 students. For the rehearsals, she wants to divide each chorus into the largest possible equal groups, with no students left over. How many students will be in each group?
Answer: 4 Students in each group
10 Points Carey brought chocolate and vanilla cupcakes to school for her birthday. 16 students decided to take a cupcake, and 8 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer: 50%
20 Points Felix's Tea Shop has caffeinated tea and decaffeinated tea. During the lunchtime rush, the tea shop served 70 teas in all, 30% of which were caffeinated. How many caffeinated teas did the tea shop serve?
Answer: 21 Caffeinated Teas were served
30 Points Jenna's Diner sold 80 milkshakes last week. 32 of the milkshakes had whipped cream on top. What percentage of the milkshakes had whipped cream?
Answer: 40% had whipped cream on top
40 Points During second period, Lauren completed a grammar worksheet. Of the 76 questions, Lauren got 25% right. How many questions did Lauren get right?
Answer: 19 questions were correct
50 Points 66 out of the 88 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting were first-year teachers?
Answer: 75% of the staff are new teachers
10 Points Robby jarred 10 liters of jam after 2 days. How much jam did Robby jar if he spent 9 days making jam?
Answer: 45 Liters of Jam
20 Points Rosa took a total of 20 quizzes over the course of 4 weeks. After attending 9 weeks of school this quarter, how many quizzes will Rosa have taken in total?
Answer: 45 Quizzes
30 Points Johnny learned to sing a total of 8 pieces over the course of 4 weeks of voice lessons. After 7 weeks of voice lessons, how many pieces will Johnny be able to sing, in total?
Answer: He will be able to sing 14 pieces
40 Points The ratio of boys to girls at a rock concert was about 7 to 6. If there were 1092 boys at the rock concert, how many girls were there?
Answer: 936 Girls
