Mathematical Tools for Problem Solving - PowerPoint PPT Presentation

1 / 26
About This Presentation
Title:

Mathematical Tools for Problem Solving

Description:

Wallpaper comes in rolls that are 25 feet long and 3 feet wide. ... a child's heart rate in beats per minute is faster than an adult's heart ... – PowerPoint PPT presentation

Number of Views:26
Avg rating:3.0/5.0
Slides: 27
Provided by: wylieinte
Category:

less

Transcript and Presenter's Notes

Title: Mathematical Tools for Problem Solving


1
Mathematical Tools for Problem Solving
2
1. Jessica is going to wallpaper and carpet her
dining room. Wallpaper comes in rolls that are 25
feet long and 3 feet wide. Jessicas dining room
is shaped like a rectangle 20 feet long and 14
feet wide. There are two windows that have a
total area of 27 sq ft. Which of the following
questions could NOT be answered with the
information provided?
A What is the perimeter of the room?
B How many rolls of wallpaper will Jessica need?
C What is the area of the dining room floor?
D How many square feet will one roll of
wallpaper cover?
3
1. Jessica is going to wallpaper and carpet her
dining room. Wallpaper comes in rolls that are 25
feet long and 3 feet wide. Jessicas dining room
is shaped like a rectangle 20 feet long and 14
feet wide. There are two windows that have a
total area of 27 sq ft. Which of the following
questions could NOT be answered with the
information provided?
B How many rolls of wallpaper will Jessica need?
4
2. To determine if a triangle is isosceles, you
must know--
A the measure of one of the angles
B that two of the sides are congruent
C that none of the sides are congruent
D the sum of the measures of all the angles
5
2. To determine if a triangle is isosceles, you
must know--
B that two of the sides are congruent
6
3. Nelly used a rule to sort the whole numbers
into two sets. The table shows how the whole
numbers through 20 fell into the two sets.
What rule did Nelly use?
A Set B contains all numbers that are prime
numbers.
B Set A contains all whole numbers that are
multiples of 2.
C Set A contains all whole numbers that are
multiples of 2 and 3.
D Set A contains all whole numbers that are
multiples of 2 or 3, but not multiples of 6.
7
3. Nelly used a rule to sort the whole numbers
into two sets. The table shows how the whole
numbers through 20 fell into the two sets.
What rule did Nelly use?
D Set A contains all whole numbers that are
multiples of 2 or 3, but not multiples of 6.
8
4. Robert bought 8 boxes of doughnuts for a
breakfast meeting. There are a dozen doughnuts in
each box. The people at the meeting ate all but 5
of the doughnuts. Which equation can be used to
find d, the number of doughnuts that were eaten?
A d 8 x 12 5
B d 8 x 12 5 x 12
C d 5 x 12
D d 8 x (12 5)
9
4. Robert bought 8 boxes of doughnuts for a
breakfast meeting. There are a dozen doughnuts in
each box. The people at the meeting ate all but 5
of the doughnuts. Which equation can be used to
find d, the number of doughnuts that were eaten?
A d 8 x 12 5
10
5. Some theater arts students made a circular
sign for a school play. The diameter of the sign
was about 3 feet. How does the diameter compare
to the circumference of the sign?
A The diameter is about 1/3 the circumference.
B The diameter is about ½ the circumference.
C The diameter is about 2 times the circumference.
D The diameter is about 3 times the circumference.
11
5. Some theater arts students made a circular
sign for a school play. The diameter of the sign
was about 3 feet. How does the diameter compare
to the circumference of the sign?
A The diameter is about 1/3 the circumference.
12
6. Anita found the measures of the angles of an
isosceles triangle. One angle measured 500 and
the other 2 angles were congruent. Which method
can be used to find the measure of each of the
congruent angles?
A Multiply 50 by 2 and then add 180
B Subtract 50 from 180 and then divide by 2
C Add 50 to 180 and then divide by 3
D Divide 50 by 2 and then subtract from 180
13
6. Anita found the measures of the angles of an
isosceles triangle. One angle measured 500 and
the other 2 angles were congruent. Which method
can be used to find the measure of each of the
congruent angles?
B Subtract 50 from 180 and then divide by 2
14
7. Curtis made a rectangular garden in his
backyard. The garden was 24 feet long and 10 feet
wide. Curtis used 1/3 of the garden space to grow
vegetables. He built a 3-foot-high fence to keep
his dog out of the garden. Determine which of the
following questions could NOT be answered with
the information provided.
A What was the perimeter of the garden?
B What was the total area of the garden?
C What was the volume of dirt of the garden?
D What was the area of space used for growing
vegetables?
15
7. Curtis made a rectangular garden in his
backyard. The garden was 24 feet long and 10 feet
wide. Curtis used 1/3 of the garden space to grow
vegetables. He built a 3-foot-high fence to keep
his dog out of the garden. Determine which of the
following questions could NOT be answered with
the information provided.
C What was the volume of dirt of the garden?
16
8. A math club is selling 3 different sizes of
book covers as a fund-raiser. Large covers sell
for 4.50 each, medium covers sell for 4.00
each, and small covers sell for 3.50 each.
Sandra bought 3 large, 1 medium, and 2 small book
covers. Which equation can be used to find c, the
total cost of Sandras book covers?
A c (3 1 2) ( 4.50 4.00 3.50)
B c 3(4.50) 2(4.00) 2(3.50)
C c 3(4.50) 4.00 2(3.50)
D c (3 1 2) ( 4.50 4.00 3.50) 3
17
8. A math club is selling 3 different sizes of
book covers as a fund-raiser. Large covers sell
for 4.50 each, medium covers sell for 4.00
each, and small covers sell for 3.50 each.
Sandra bought 3 large, 1 medium, and 2 small book
covers. Which equation can be used to find c, the
total cost of Sandras book covers?
C c 3(4.50) 4.00 2(3.50)
18
9. On average, a childs heart rate in beats per
minute is faster than an adults heart rate by a
factor of about 1.2. Given a, an adults heart
rate, which equation can be used to find c, a
childs heart rate?
A c 1.2 a
B c a 12
C c 1.2 a
D c 1.2a
19
9. On average, a childs heart rate in beats per
minute is faster than an adults heart rate by a
factor of about 1.2. Given a, an adults heart
rate, which equation can be used to find c, a
childs heart rate?
D c 1.2a
20
10. What procedure should be used to find the
area of the purple region?
A Find the area of each circle and add it to the
area of the rectangle.
B Subtract the area of each circle from the area
of the rectangle.
C Find the circumference of each circle and add
it to the area of the rectangle.
D Find the area of the rectangle and then
subtract the perimeter of the rectangle.
21
10. What procedure should be used to find the
area of the purple region?
B Subtract the area of each circle from the area
of the rectangle.
22
11. Jose wants to paint the walls of his dining
room. He has measured the length and width of its
floor and the height of its ceiling. Which
formula will help him decide how much paint to
buy?
A Pythagorean Theorem
B Volume of a rectangular prism
C Area of a rectangle
D Perimeter of a rectangle
23
11. Jose wants to paint the walls of his dining
room. He has measured the length and width of its
floor and the height of its ceiling. Which
formula will help him decide how much paint to
buy?
C Area of a rectangle
24
12. Mr. Jackson wants to buy a used car for his
son. The savings and loan company will lend him
8,500. Mr. Jackson must make 36 monthly payments
to pay back the amount he borrowed, plus
interest. What other information is necessary to
determine the amount of Mr. Jacksons monthly
payment?
A The amount of money Mr. Jackson has in his
savings account.
B The make of the used car.
C The amount of Mr. Jacksons monthly salary
D The interest rate the savings and loan company
charges.
25
12. Mr. Jackson wants to buy a used car for his
son. The savings and loan company will lend him
8,500. Mr. Jackson must make 36 monthly payments
to pay back the amount he borrowed, plus
interest. What other information is necessary to
determine the amount of Mr. Jacksons monthly
payment?
D The interest rate the savings and loan company
charges.
26
Congratulations!!
Now you are have reviewed the problem solving
skills you will need for the TAKS test. Remember
to take your time and check your work. I know
you will do great!
Write a Comment
User Comments (0)
About PowerShow.com