math 5 key concepts · math 5 chapter 1 key concepts write each number in word form . 1.)...
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Math 5 Chapter 1 Key Concepts Write each number in word form. 1.) 45,090,007 _____________________________________________________________________ 2.) 399,604,312,000 _________________________________________________________________ __________________________________________________________________________________ Write each number in standard form. 3.) 200,000,000 + 30,000,000 + 4,000,000 + 8,000 _______________________________________ 4.) 90,000,000,000+ 1,000,000,000 + 200,000,000 + 3,000,000 + 60,000
__________________________________________________________________________________
Write the number in standard form. 5.) Six billion, two hundred twenty-seven thousand, eighty-nine_________________________ Write the number in expanded form.
6.) 58,021,007,000 __________________________________________________________________
Write the name of the place-value of the underlined digit in each number. 7.) 24,789,153 _____________________________________________________________________ 8.). 63,134,072 _____________________________________________________________________ Write the value of the underlined digit in each number. 9.) 45,900 ______________________________________ 10. 780,016,000 ______________________________________ Compare each pair of numbers by using >, <, or =. 11.) 4,503,008,000 ______ 4,600,012,000 12.) 9,107,200,143 ______ 9,107,020,143 Rewrite in order from least to greatest. (2 pts.) 13.) 999,009; 900,452,009; 199,000,000 ________________________________________________
Write the word form of each number and tell the value of the underlined digit. 14.) 12.7 __________________________________________________________________________ 15.) 76.49 _________________________________________________________________________ Write each number in standard form. 16.) nine and three hundred thousandths _____________________ 17.) 35 + 0.6 + 0.08 _____________________ Write two decimals that are equivalent to the given decimal. 18.) 43.6 ___________________________________________________ Compare each pair of numbers by using >, <, or =. 19.) 3.219 ______ 3.314 20.) 15.08 ______ 15.6 Rewrite in order from least to greatest. 21.) 57.604; 57.643; 57.364 _________________________________________________________
Math 5 Chapter 2 Key Concepts Round each number to the underlined place value. Then name the place value. Rounded number Place Value Name
1.) 12,529 ____________________ _______________________
2.) 4,176,431 ____________________ _______________________
3.) 13.326 ____________________ _______________________
4.) 1.847 ____________________ _______________________
Find each sum or difference. Then estimate to check your answer! Be sure to show all of your work including the numbers that you use to estimate. 5.) 258,076 + 207,631 6.) 562,002 – 314,878 7.) 65.32 + 28.98 8.) 37.26 – 28.08 9.) 4.73 + 39.8 10.) 56.3 – 45.27
Write each number in word form and expanded form. 13.) 60,057,004 ___________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
14.) 12.076 ________________________________________________________________________
_________________________________________________________________________________
Write in order from least to greatest.
15.) 3.8; 3.045; 3.12 _________________________________________________________________
Compare each pair of numbers by using <,>, or =.
16.) 56.088 ______ 56.341 17.) 39.2_______ 39.187
11.) Michaela earns $11.75 per hour at her job at a bakery. If she gets a raise of $2.50 per hour, how much will she make?
12.) Mrs. Smith’s car gets 3.8 fewer miles per gallon in the city that it does on the highway. If the car gets 25.45 miles per gallon on the highway, how many miles per gallon does it get in the city?
Math 5 Chapter 3 Key Concepts Identify the multiplication property used in each equation.
1.) 324 x 0 = 0 ____________________
2.) 7 x (26 x 19) = (7 x 26) x 19 ____________________
3.) 129 x 1 = 129 ____________________
4.) 61 x 37 = 37 x 61 ____________________
Use the multiplication properties to decide what number must be on the line.
5.) 8 x (11 x 38) = (8 x 11) x _____ 6.) 71 x ____ = 0
7.) 952 x _____ = 952 8.) 84 x ____ = 23 x 84
Use mental math to find each product.
9.) 600 x 800 10.) 60 x 3,000 x 1 11.) 900 x 70 12.) 5,000 x 300
Estimate each product. Be sure to show the rounded or compatible numbers that you use for your estimation. 13.) 96 x 24 14.) 23 x 81 x 4 15.) 5 x 72 x 19 16.) 396 x 22 Multiply. Estimate to check your answer. 17.) 78 x 9 18.) 639 x 7 19.) 58 x 64 20.) 328 x 42
21.) Write 54 in expanded form. 22.) Write 4 x 4 x 4 in exponential form. _____________________________________ ______________________________________ 23.) Write 23 in standard form. _____________________________________ 24.) Cole sold 7 baseball cards for $15 each and 12 baseball cards for $31 each. How much money did he have from the sale of his baseball cards? Write each number in word form and expanded form. 25.) 709,005,230 __________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
26.) 8.105 ________________________________________________________________________
_________________________________________________________________________________
Write in order from least to greatest.
27.) 8.3; 8.21; 8.089_________________________________________________________________
Compare each pair of numbers by using <,>, or =.
28.) 12.26 ______ 12.095 29.) 48.35 _______ 48.4
Add or subtract.
30.) 68 – 53.19 31.) 7.328 + 23.64
Math 5 Chapter 4 Key Concepts Use mental math to find the quotients. 1.) 350 ÷ 5 2.) 32,000 ÷ 8 3.) 300,000 ÷ 6 Use rounding to estimate each quotient. 4.) 358 ÷ 4 5.) 564 ÷ 7 6.) 286 ÷ 3 Use compatible numbers to estimate each quotient. 7.) 236 ÷ 5 8.) 629 ÷ 8 9.) 372 ÷ 9 Find each quotient. You may use graph paper. 10.) 450 ÷ 9 11.) 406 ÷ 4 12.) 79 ÷ 4 13.) 72 ÷ 3 14.) 108 ÷ 6 15.) 329 ÷ 7
List two factor pairs for each number.
16.) 32 _____________ and _____________ 17.) 28 _____________ and _____________
Label each number as prime or composite.
18.) 9 _______________________ 19.) 16 _______________________
20.) 13 _______________________ 21.) 33 _______________________
Find the prime factorization of each number.
22.) 27 23.) 150
24.) Owen has 52 DVDs. He is putting them into cases that hold 9 DVDs. How many cases can he fill? How many DVDs will be left?
Find each product, sum, or difference.
25.) 84 x 23 26.) 673 x 26 27.) 4.59 + 28.8 28.) 63 – 27.14
Math 5
Chapter 5 Key Concepts
Use mental math to find each quotient.
1.) 480 ÷ 80 ____________________________ 2.) 4,000 ÷ 50 ____________________________
3.) 54,000 ÷ 90 _________________________ 4.) 2,800,000 ÷ 700 _______________________
Estimate each quotient using compatible numbers. 5.) 476 ÷ 68 ____________________________ 6.) 2751 ÷ 42 ____________________________ Find each quotient.
7.) 502 ÷ 20 8.) 628 ÷ 90 9.) 493 ÷ 12
10.) 623 ÷ 15 11.) 6,802 ÷ 11 12.) 5,078 ÷ 22
13.) Anya has just opened a flower shop! She ordered 525 roses for Valentines Day. If the roses are divided into 60 bouquets, how many roses will each bouquet have, and how many roses will be left over? 14.) Madison is organizing a party for 56 people. Each table in the banquet room seats nine people. How many tables will she need? 15.) 563 x 76 16.) 71 – 5.21 17.) 2.745 + 31.28 18.) Write the prime factorization of 64.
Round each number to the given place value. 19.) 22.836; tenths ____________________ 20.) 8.6289; thousandths ___________________
Math 5 Chapter 6 Key Concepts
Translate each algebraic expression into words. 1. n + 6 ____________________________________________________________
2. r ÷ 6 ____________________________________________________________ 3. 6b ____________________________________________________________ 4. c - 7 ____________________________________________________________ Write each word phrase as an algebraic expression. 5. 8 less than a number _____________________________________________ 6. 4 times a number _____________________________________________ 7. 5 more than another number ________________________________________ 8. 6 divided by a number ____________________________________________ Evaluate for x = 3 and x = 5. 9. 3x 10. 4 + x 11. 7 - x 12. x /15
_____ _____ _____ _____ _____ _____ _____ _____
Complete each table.
Find the value of each expression using the order of operations.
16. (12 - 4) + 2 x 3 17. 10 + 21 ÷ 7 - 2
Math 5 Chapter 7 Key Concepts Use mental math to find each product of quotient.
1.) 10 x 0.28 2.) 1.98 x 1,000 3.) 228.9 ÷ 100 4.) 0.27 ÷ 10 ___________________ ___________________ ___________________ ___________________ Find each product. 5.) 63 x 0.4 6.) 15 x 0.39 7.) 420 x 0.8 8.) 0.56 x 0.07 9.) 5.4 x 0.32 10.) 71.4 x 0.36 Find each quotient. 11.) 4.2 ÷ 7 12.) 0.072 ÷ 9 13.) 2.24 ÷ 14 14.) 2.08 ÷ 0.8 15.) 3.09 ÷ 0.06 16.) 0.156 ÷ 0.12
17.) Hannah has a spool of ribbon at her hair accessories store that is 8.4 feet long. She wants to divide it into 0.7 foot pieces. How many complete 0.7 foot long pieces can she cut? 18.) Phoenix, Arizona is one of the driest cities in the U.S. It receives just 7.56 inches of rain each year. If Phoenix receives the same amount of rain each year, how much rain will it get in 2.5 years? Write each number in word form and expanded form
19.) 40,058,020 _____________________________________________________________________
__________________________________________________________________________________
__________________________________________________________________________________
20.) 46.709 ________________________________________________________________________
__________________________________________________________________________________
__________________________________________________________________________________
Round each number to given place value.
21.) 71.356; tenths _______________________
22.) 329,604,023; millions _______________________
Math 5 Chapter 8 Key Concepts
Name: ___________________ Name: ___________________
Classify: _________________ Classify: _________________
Measurement: ____________ Measurement: ____________
Classify by angles: ___________________ Classify by angles: ___________________
Classify by sides: ___________________ Classify by sides: ___________________
Name, classify, and measure each angle. 3. 4.
Classify each triangle by its angles and sides. 5. 6.
Describe the relationship between the two lines. 1. 2.
Find the missing angle measure in each triangle. 7. m∠X = 61°, m∠Y = 97°, m∠Z = x° 8. m∠A = 22°, m∠B = 109°, m∠C = y°
Find the missing angle measure in each quadrilateral. 11. In quadrilateral QRST: m∠Q = 78°, 12. In quadrilateral ABCD: m∠A = 99°, m∠R = 140°, m∠S = 27°, m∠T = x°. m∠B= 52°, m∠C = 112°, m∠D = y°. Find each product, sum, or difference. Write your answer in simplest form!
13. 45
2 · 1
4
1 14. 13
9
1 + 8
6
5 15. 3
3
2 - 1
6
1
10. Classify this quadrilateral in as many ways as you can.
9. Name the polygon. Then tell whether it is regular or irregular.
Math 5 Chapter 8 Vocabulary Review Match the definition to the corresponding term. Write the letter on the line. One letter will NOT be used. 1. ______ equilateral triangle A. intersecting lines that form right angles
2. ______ ray B. a triangle with no sides of the same length
3. ______ right angle C. a triangle with 2 sides of the same length
4. ______ hexagon D. an angle measuring 180°
5. ______ regular polygon E. a polygon with 6 six sides
6. ______ perpendicular lines F. all sides have equal length and angle measure
7. ______ quadrilateral G. formed by two rays with a common vertex
8. ______ straight angle H. a polygon with 4 sides
9. ______ scalene triangle I. an angle measuring 90°
10. ______ angle J. a triangle with all equal sides
K. has one endpoint and extends forever in the other direction
Math 5 Chapter 9 Key Concepts
1.) Use division and multiplication to find 2.) For the fraction 7
2, identify the
numerator and two fractions equivalent to 9
6. the denominator.
Show your work!! numerator: _______ denominator: ______
Write each mixed number as an improper fraction and each improper fraction as a mixed number.
3.) 7 3
2 4.)
5
17
Compare using >, <, or =. Show your work!! Order from least to greatest.
5.) 11
6 _____
5
3 6.)
12
5 _____
24
9 7.) 2
2
1,
9
4, 1
4
3,
5
3
Find the Greatest Common Factor (GCF) of each pair of numbers. 8.) 16, 60 9.) 36, 160
Write each fraction in simplest form. Show your work!!
10.) 100
65 11.)
24
18
Write each fraction as a decimal. Show your work!!
16.) 5
1 17.) 4
10
3
Write each decimal as a fraction. Make sure that your answer is in simplest form. Show your work!! 18.) 0.24 19.) 0.05 20.) 9.6
Write a decimal and a fraction for the shaded portion of each model.
12.) Fraction: _________ 14.) Fraction: _________ 13.) Decimal: _________ 15.) Decimal: _________
21.) Tyrell’s Tasty Tacos just received a shipment of 42 gallons of orange juice and 18 gallons of cranberry juice. The juice needs to be poured into equal-sized containers. What is the largest amount of juice that each container can hold of each kind of juice? 22.) At a day camp, there are 56 girls and 42 boys. The campers need to be split into equal groups. Each has either all girls or all boys. What is the greatest number of campers each group can have?
Math 5 Chapter 10 Key Concepts
Use a list to find the Least Common Multiple (LCM) of each pair of numbers. 1. 4 and 18 2. 10 and 15 Add or subtract. Give answers in simplest form and/or as mixed numbers.
3. 9
4 +
9
8 4.
30
17 –
30
11 5.
8
5 +
5
4 6.
11
8 –
3
1
Add or subtract. Write each answer as a whole number or a mixed number in simplest form. Estimate to check your answers.
7. 18 8
3 + 15
8
2 8. 20
12
7 + 9
6
5 9. 9 + 6
3
2
10. 50 14
13 – 19
14
9 11. 9
7
2 – 3
4
3 12. 22 – 11
16
5
13. Yesterday, Mrs. Smith canned 7
3 pounds of tomatoes. Today, she canned
9
8 pounds of tomatoes.
How much more did she can today than yesterday?
14. During a rainstorm, the water level of Big Muddy Creek rose 6
1 feet. Then it rose another
9
7 feet.
How much did it rise in all? Find each product or quotient. 15. 16.8 x 0.07 16. 1.68 ÷ 0.3
17. Write 0.44 as a fraction in simplest form. 18. Write 5
3as a decimal number.
Math 5 Chapter 11 Key Concepts Find each product. Write your answer as a mixed number and/or in simplest form.
1. 18 x 3
2 2.
5
2 x
8
3 3.
16
5 x
15
8
4. 35 x 20
3 5. 4
7
2 x 1
5
3 6. 3
6
1 x 3
3
1
Math 5 Chapter 12 Key Concepts
6. Find the circumference of a circle whose 7. Find the circumference of a circle radius is 6 in. Use 3.14 for π. whose diameter is 40 mm. Use 3.14 for π.
Find the perimeter of each figure. Be sure to use the correct label! 1. 2.
Find the area of each figure. Be sure to use the correct label! 3. 4. 5.
8. List the center. ___________________ 9. List two radii. __________________ 10. List two chords. __________________ 11. List a diameter. ___________________ 12. List two central angles ________________________________
Use the circle at right to answer the following questions. Don’t forget your labels!
Name each solid. Be sure to give a complete answer! 13. 14.
Name the solid that each net will form when folded up. 15. 16.
Math 5 Chapter 14 Key Concepts What is the best unit to weigh each item? Write ounce, pound, or ton.
1. a bag filled with oranges __________________
2. airplane ____________________
3. a math textbook ____________________
What is the best unit to measure the capacity of each item? Write milliliters or liters.
4. jug of milk __________________
5. medicine dropper __________________
6. bath tub __________________ 6.) Measure the line segment to the nearest centimeter and millimeter.
cm: ____________ mm: ____________ 7.) Measure the line segment to the nearest inch and ¼ inch.
Inch: ____________ ¼ inch: ____________ Convert each measurement. 8.) 64 oz = ____ lb 9.) 34 ft = ____ yd, ____ ft 10.) 36 qt = _____ gal
Convert each measurement. 11.) 71 mm = ____ cm 12.) 0.09 kg = _____ g 13.) 9,023 mL = ____ L Find the elapsed time. Remember to include labels! 14.) Start 4:46 P.M. 15.) Start 5:37 P.M. 16.) Start 8:00 A.M. End 7:00 P.M. End 4:00 A.M. End 3:25 P.M. 17.) Mrs. Smith plans to arrive at the airport 18.) If it is 72° F inside and 29° F outside, how at 10A.M. It is a 1 hour and 20 minute ride by many degrees lower is the temperature car. At what time should she leave home? outside than inside? 19.) Find the change in temperature. 20.) Find the temperature after the change. Morning: - 11 ° C Afternoon: 15 ° C Start: 28° F Change: decrease 30° F
21.) Find the product of 34
3 and 2
5
4. 22.) Find the difference of 33 and 17.9
Math 5 Chapter 16 Key Concepts
SHOW YOUR WORK!
Write the ratio three different ways. Be sure to write in lowest terms. 1. Six out of 54 teachers 2. 12 computers for 72 students. Give two ratios equal to the given ratio using multiplication and division. 3. 3 to 9 4. 16: 32 State if the ratios are equal. Show why they are or are not equal.
5. 8
6; 18 to 24 6. 7:9; 21 to 36
Write the percent as a fraction in lowest terms. 9. 48% 10. 6% 11. 240%
For each figure, write a ratio, decimal, and a percent to represent the shaded portion. 7. 8.
Ratio: __________ Decimal: __________ Percent: __________
Ratio: __________ Decimal: __________ Percent: __________
Convert each number to a percent. Remember to include labels! 12. 0.39__________________ 13. 3.04__________________ 14. 0.05__________________ Convert each percent to a decimal number. 15. 52% __________________ 16. 123% __________________ 17. 3%__________________
Math 5 Chapter 18 Key Concepts
In 1-2, use the line graph at right. 1. What was the Museum Admission price in 1991?_________ in 1994?_________ 2. How much did the Museum Admission price increase between 1991 and 1994? Show your work below! In 3-6 use the following set of data: 6, 5, 10, 5, 7, 8, 10, 11, 6, 6, 9, 5, 10, 5, 5 3. Record the data in a tally chart 4. Record the data in a frequency chart 5. Make a line plot of the data 6. Make a stem-and-leaf diagram of the data
In 7-10, use the stem-and-leaf diagram of Spring Temperatures. 7. On how many days was the temperature in the forties? ____________ 8. What is the mode? ____________ 9. What is the median? ____________ 10. What is the range of the data? For 11-14, find the mean, median, mode, and range for this set of data: 38, 5, 39, 14, 9
11. mean: 12. median: 13. mode: 14. range: ____________ ____________ ____________ ____________
Spring Temperatures (°F)
Math 5 Chapter 18 Key Concepts
Directions: In the space to the right, determine the mean, median, and mode for each data set.
1) 18, 18, 15, 18, 18, 24, 21, 21, 24, 14
mean =
median =
mode =
2) 94, 69, 84, 69, 90, 75, 94, 90, 90, 9, 5
mean =
median =
mode =
3) 4, 18, 18, 23, 23, 19, 8, 8, 8, 8, 28
mean =
median =
mode =
4) 12, 15, 16, 17, 15, 17, 17, 17, 18, 17
mean =
median =
mode =
5) 16, 3, 3, 3, 8, 24, 16, 9, 11, 11
mean =
median =
mode =
6) 22, 5, 22, 13, 12, 24, 24, 9, 24, 19
mean =
median =
mode =
7) 23, 1, 1, 18, 1, 3, 18, 10, 7, 3
mean =
median =
mode =
8) 23, 10, 2, 6, 10, 14, 1, 19, 8, 19
mean =
median =
mode =
9) 8, 21, 13, 8, 18, 15, 8, 8, 11, 15
mean =
median =
mode =
10) 7, 9, 24, 19, 24, 9 , 18, 3, 3, 3
mean =
median =
mode =
Math 5 Chapter 19 Key Concepts
Tell if the second figure is a translation, reflection, or rotation of the first. If it is a rotation, state the amount of the rotation (degrees or fraction). 1. 2. 3.
4. Translate the triangle right 3 units 5. Rotate the figure 90°°°°. and up 1 unit.
6. Write the coordinates of the original figure in problem #4:
Point A: ________________
Point B: ________________
Point C: ________________
Write congruent or not congruent for each pair of figures. 9. 10. Draw the lines of symmetry then write how many each figure has. 11. 12.
7. Reflect the triangle over the x-axis. 8. Reflect the triangle over the y-axis.
Math 5 Chapter 20 Key Concepts Determine the number of possible outcomes. 1) At Paula’s Pizza Place, you can order a small, medium or large pizza. Each pizza has 1, 2
or 3 toppings. Create a tree diagram & write the outcomes for ordering 1 pizza and write the outcomes.
___________________________ 2) Barrel racers at a rodeo often have a variety of saddles and bridles. If a rider has 3 saddles
and 6 bridles, how many combinations of a saddle and bridle can the rider have? Use the counting principle & show your work!
___________________________
3) Find the possible outcomes of tossing a number cube and spinning a spinner with 4
different colors. Use the counting principle & show your work!
___________________________ Find the probability of the following. State the probability as a fraction. *Write answer as Probability equation! 4) A jar contains 24 navy, 5 white, 8 orange, and 16 red marbles. You pick a marble without
looking. Find the probability of drawing a navy marble.
_________________________________________ 5) A standard number cube with the number 1 through 6 is rolled. Find the probability of
rolling a number greater than 3.
_________________________________________ 6) One letter is chosen at random from the word BULLDOGS. What is the probability that
the letter chosen is the letter L?
_________________________________________ 7) A jar contains 11 red, 16 violet, 6 green, and 25 white marbles. A marble is drawn at
random. Find P(green).
_________________________________________
A number cube is rolled once. Find the probability of each event. Write your answer as a fraction. 8) P(6) = ___________
9) P(an even number) = ____________
10) P(7) = ____________
11) P(a number less than 5) = _______________
A piggy bank contains three quarters, two dimes, two nickels, and one penny. You pick a coin at random. Find each probability. *Simplify probabilities if necessary!
12) P(quarter) _____________
13) P(not dime or nickel) _____________
Find the experimental probability. *Write answer as an Experimental Probability equation! 14) You toss a coin 20 times and record 8 tails. Find the experimental probability of the
outcome of tails. *Simplify probability if necessary.
_________________________________________
15) Naomi won 168 out of 196 games. Find the experimental probability.
_________________________________________ Write and solve a proportion to make a prediction. 16) A teacher asks 70 random students, “Did you see the Reptiles exhibit?” Fourteen answer
yes. If 1,000 students went on the zoo trip, how many likely saw the exhibit? 17) Out of 300 computers, 22 are defective. How many defective computers would you expect
in a group of 30,000?