Grade 6 • Page 1
1Problems of the Week
Visual
Multi-Step
Fraction Action Problem-SolvingStrategies
Geometry/Measurement
The garden below has fencing around theperimeter and as a partition down the center.The length of the garden is 30 feet, and theentire length of fencing used is 37 yards. Howlong is the partition (in feet)?
Sandy delivers a total of 126 papers everyweek. If he delivers twice as manypapers on each day of the weekend as hedoes on each day ofthe week, how manypapers does hedeliver on Sunday?
What Do You Say?John and Betty both work the problem429 + 389 using estimation.
Explain why John’s answer of 800 differsfrom Betty’s answer of 820.
Each segment is half as long as theone before it. If AB is twoyards long, how long isthe entire design (ininches)?
Draw a picture to show that the
fraction 34 is the same as the
fraction 9
12 .
Logical Thinking 3 ■ ■
× ■ 72 4 ■ 7■ ■ 2■ ■ 7 7
A
B
C
D
E
F
Grade 6 • Page 2
MentalMath
1
1. 28 + 54 =
2.7
125
12+ =
3. 0.5 + 0.3 =
4. 16 × 4 =
5. 2 feet = _____ inches
6. Find the perimeter of a rectangle with the givenlength and width.
L = 12 cm W = 10 cm
7. Find mode for the following set of temperatures.{26˚, 26˚, 27˚, 29˚, 32˚, 25˚, 35˚}
8. (76 + 24) ÷ 10 =
9. If the letters of the word “FRANCE” were put oncards and placed in a bag, what is the probability thata vowel would be picked?
10. Draw the next two figures.
_____ _____
Keeping Skills Sharp
Write each fractionas its percent equivalent.
1. 12
2.14
3.34
4.1
10
5.3
10
Estimate:
6. 81 × 2
7. 143 ÷ 2
8. 115 – 82
9. 529 + 105
10. 19 × 19
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 3
1Visual
Multi-Step
Fraction Action
Geometry/Measurement17 feet
28 papers are delivered on Sunday.
Problem-Solving Strategies
What Do You Say?John estimated by rounding to the largest placevalue. Betty rounded to the nearest tens.
Mental Math1. 50%2. 25%3. 75%4. 10%5. 30%6. 1607. 708. 409. 60010. 400
Keeping Skills Sharp1. 822. 13. 0.84. 645. 24 inches6. 44 cm7. mode = 268. 10
9.13
10. any hexagon any septagon
Answer Key
351 × 2724577029477
139.5 inches
26
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Grade 6 • Page 4
2Problems of the Week
Visual
Multi-Step
Fraction Action
Problem-SolvingStrategies
Geometry/Measurement
What Do You Say?
If this tree keeps branching as shown, howmany branches will there be at line 6?
Sam mowed 12 of the yard on Friday and
12 of the remaining grass on Saturday
morning. What fractional part of the yardstill needs to be cut?
A man weighs 56 of his
weight plus 30 pounds.What is his weight?
If two sides of a square field were increasedby five feet, as seen in the diagram, the areaof the field would increase by 245 ft2. Findthe area of the original square.*
*Adapted from Math Stars 5
5
What is the easiest way to multiply a numberby 100?
Work backwards to find the beginning number.
? ÷ 10 × 100 ÷ 1000 × 10 = 9.5
0 1 2 3 4 5 6
Grade 6 • Page 5
MentalMath
2
Keeping Skills Sharp
1. 11 × 700
2. 900 × 40
3. 64,000 ÷ 0.8
4.45
310
+
5. If 5
10 of a number is 80, what is the number?
6. Estimate 56 × 3.
7. Which fraction is smaller? 1
1015
, , 18
8. What is the product of the factors of 6?
9. 10 13
– 8 16
10. 910
5×
1. 192 + 9 + 12 =
2.7
127
12+ =
3. 1.5 + 0.3 =
4. 25 × 3 =
5. 2 quarts = ___ pints
6. Find the area of a rectangle with the following dimensions.L = 12 cm W = 10 cm
7. Find the range for the following scores:
26, 26, 27, 29, 32, 25, 35
8. 46 + 8 ÷ 4 + 6 =
9. If a fair spinner is divided into 4 equal parts, 2 colored blue, onegreen and one red, what is the probability that you would spin ablue?
10. For the spinner in #9 above, what is the probability that youwould spin a green or a red?
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 6
2Visual
Multi-Step
Fraction Action
Geometry/MeasurementAnswer: 484 ft2. The corner piece is 5 × 5 or 25 ft2.The rest of the new space is then 220 ft2. Each smalladded rectangle must be 22 × 5. The square is 22 ×22.
Answer: 14
To solve: 30 lbs is the other sixth which meansevery other sixth must be 30 lbs as well.
6 × 30 pounds = 180 pounds
Problem-Solving Strategies
What Do You Say?The easiest way to multiply a number by 100 is toadd two zeros to the right end of it, or if it is adecimal number, shift the decimal two places to theright.
Mental Math1. 77002. 36,0003. 80,000
4.1110 or 1
110
5. 1606. ≈180
7.1
108. 1 × 2 × 3 × 6 = 36
9. 216
10.92 or 4
12
Keeping Skills Sharp1. 213
2. 1412
= 1 212
= 116
3. 1.84. 755. 46. 120 cm2
7. Range = 108. 54
9. 12
10.
Answer: 95
Answer: 26 or 64
42
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
42
Answer Key
Grade 6 • Page 7
3Problems of the Week
Visual
Multi-Step
Fraction Action Problem-SolvingStrategies
Geometry/Measurement
What Do You Say?
Discover the pattern inthis tree. Complete theother entries.
Susan is working out a problem in whichshe is supposed to put numbers in eachshape. If there is a 5 in the square, andthe answer is 32, what number was in thetriangle?
+ 3
Shade in the shapes below to findthe answer to the problem.
114 + 2
23
How many 3 cm × 4 cm tiles are needed tocover this figure? Is there any other size tilethat will fit this figure without having to becut? Name them. Explain.
16
24
Work backwards to find the first number.
■ × 8 + 6 ÷ 3 – 6 = 4
Two methods can be used to determine where toplace a decimal point when multiplyingdecimals. Tell what they are.
16 12 30
64 48 60 30
cm
cm
Grade 6 • Page 8
MentalMath
3
Keeping Skills Sharp
1. 2 × 7 × 5
2. 15 × 2 × 5 × 2
3. Find the product of 3 and 840.
4. 2400 ÷ 60
5. 90 – 40 + 80 – 40
6. What is 50% of 8422?
7.
8. Which of these is larger? 65% 45 0.81
9.58 32
= ?
10. 10 – 515
1. 3 + 15 + 97 =
2. =
3. 2.5 + 0.031 =
4. 21 × 0.23 =
5. 36 inches = ___ yards
6. An isosceles triangle with a base of 5 cm has a perimeter of30 cm. How long are each of the other two sides?
7. Find the median: 18, 7, 26, 10, 15.
8. (10 + 2) ÷ (6 – 3) =
9. If you roll a fair six-sided number cube, what is the probabilitythat you will roll a number less than a 3?
10. Draw the next two figures in the pattern.
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
710
– 310
119
2 14
×
Grade 6 • Page 9
3Visual
Multi-Step
Fraction Action
The answer is 31112 .
Geometry/MeasurementThey will need 32 tiles. The following size tiles willalso fit:
2 cm × 8 cm 3 cm × 8 cm 4 cm × 4 cm2 cm × 3 cm 4 cm × 8 cm2 cm × 4 cm2 cm × 12 cm 6 cm x 4 cm2 cm × 6 cm 6 cm x 8 cm
Length of the tile should be a factor of one side, andthe width should be a factor of the other side.
The answer is 3. 5 + 33 = 32
Problem-Solving StrategiesAnswer: 1
What Do You Say?1. Estimate your answer.
2. The number of decimal places to right of thedecimal in the answer should be the sum of thenumber of decimal places to the right of thefactors.
Mental Math1. 702. 3003. 25204. 405. 906. 42117.
8. 0.819. 20
10. 445
Keeping Skills Sharp1. 115
2. 2
3. 2.531
4. 4.83
5. 1
6. 12.5
7. median = 15
8. 4
9.26
= 13
10.
16 12 30
64 48 60 30
14
4 18 This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
410
25
=
12
Answer Key
Grade 6 • Page 10
4Problems of the Week
Visual
Multi-Step
Fraction ActionProblem-SolvingStrategies
Geometry/Measurement
What Do You Say?
How many rectangles are in this figure?
The movie starts at 1:30 p.m. It takesyou 0.75 hours to get ready and another0.75 hours to drive to the theater. Whattime do you need to start getting ready ifyou want to arrive 10 minutes early?
Bill, Rasheed, and Juan own a video
game store. Juan owns 58 of the
store. Rasheed owns twice as muchas Bill. What fraction of the storedoes Bill own?
From Math Stars Vol. 7, No. 6
Number SenseRearrange the symbols to make a trueequation.
1 2 3 4 ××××× =
Explain why you can multiply 2decimal numbers together and get ananswer less than either one of thenumbers you multiplied.
A punch recipe call for 1 quart of cranberryjuice, 1 pint of grape juice, and 6 cups ofpineapple juice. Mary plans to make the recipeand then add enough ginger ale to make a totalof 1 gallon. How much ginger ale will sheneed?
Grade 6 • Page 11
MentalMath
4
Keeping Skills Sharp
1. Which is greater: 12 or .55?
2. What is 25 when written as a decimal?
3. Give two other forms of the fraction 64 .
4. Write three fractions equivalent to the number 4.
5. What is 14 of 500?
6. 45 + 35 + 25 + 15 + 5
7. 40 – 29.99
8. 980 ÷ 20
9. 36 × 25
10. Add the factors of 10.
1. 222 + 33 + 4 =
2.8
15 – 2
15 =
3. 7 + 0.08531 =
4. 125 × 28 =
5. 15 feet = ___ yds
6. Marcie has a formula which tells her how many scoops, S, coffeeshe needs to put in a pot when she knows the number of ounces, N,
she wants to make. The formula is S N + 1=10
. How many
scoops will she need to make 40 ounces?
7. Find the mean for the following test grades: 95, 98, 88, 91, 85.
8. 21 – 6 × 3 =
9. If you flip a fair coin 100 times, about how many times should itland on tails?
10. Draw the next two figures in the pattern.
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 12
4Visual16 rectangles
Multi-Step
Fraction Action
Geometry/Measurement
Answer: 11:50 a.m.
Bill owns 18 , Rasheed owns
28 , and Juan owns
58 .
Problem-Solving StrategiesOne solution is 3 × 4 = 12.
What Do You Say?
Mental Math1. 0.552. 0.4
3.32 or 1
12
4. Some possibilities:
82
, 41
, 123
5. 1256. 1257. 10.018. 499. 90010. 1 + 2 + 5 + 10 = 18
Keeping Skills Sharp1. 259
2.6
15 = 2
5
3. 7.08531
4. 3500
5. 5 yards
6. 5 scoops
7. 91.4
8. 3
9. about 50
10.
When a number is multiplied by a number less thanone, it gets smaller.
She needs 1 quart of ginger ale.
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Answer Key
Grade 6 • Page 13
5Problems of the Week
Visual
Multi-Step
Fraction Action Problem-SolvingStrategies
Geometry/Measurement
What Do You Say?
Shade in each figure to show the fraction 0.7.
Marnie planted 90 seeds in her garden.13 of the seeds did not come up. How
many seeds came up?
A mechanic makes $15.25 an hour for
a forty hour work week. She pays 14
of her income in taxes. She saves15 of her income. After paying taxes
and putting money in savings, howmuch does she have left each week?
Find the area and perimeter ofthe figure below:
Make a tableGary spent $2.30 when he bought 8 pieces offruit. Apples cost $0.25 and pears cost $0.35.How many of each fruit did he buy?
While riding in the car, you see a pasture withmany cows in it. What is your strategy forestimating how many cows are in the field?
2 m
8 m5 m
6 m
15 m
10 m
Apples Cost Pears Cost Total Cost
Grade 6 • Page 14
MentalMath
5
Keeping Skills Sharp
1. 640 + 280
2. 1000 – 390
3. 47.6 – 12.4
4. Round 14.0721 to the nearest hundredth.
5. Round 57,412 to the nearest thousand.
6. Find the area of a square where one side is 4 meters.
7. What is 12 of 1200?
8. What is 3 times 410?
9. What is 12 of 5 written as a decimal?
10. Divide 100 by 10 , add 3, subtract 7 and multiply by 2.
1. 120 – 18 =
2. 405 × 15 =
3. 8 – 0.28 =
4. 2586 ÷ 3 =
5. 5,280 feet = _____ miles
6. Find the perimeter of the triangle: side A = 7.5 cm, side B = 7.1,side C = 8.2 cm.
7. Find the mode for the following set of measurements:
5 m, 7 m, 5 m, 5 m, 7 m, 6 m, 10 m, 5 m, 7 m
8. 23 – (6 + 2) ÷ 2 =
9. If you roll a fair six-sided number cube, what is the probabilityof rolling a prime number?
10. Complete the pattern: 12, 6, 3, 1.5, ___, ___, ___
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 15
5Visual
Multi-Step
Fraction Action
Geometry/Measurement
There were 60 seeds that did not come up.
$15.25 × 40 hours = $610.0014 of 610 = 152.50
15 of 610 = 122
$335.50 is left.
Problem-Solving Strategies
What Do You Say?
Mental Math1. 920
2. 610
3. 35.2
4. 14.07
5. 57,000
6. 16 m2
7. 600
8. 1230
9. 2.5
10. 12
Keeping Skills Sharp1. 102
2. 81
3. 7.72
4. 862
5. 1
6. 22.8 cm
7. mode = 5 m
8. 19
9.12
10. 0.75, 0.375, 0.1875
Perimeter = 58 metersArea = 66 m2
Answers will vary.
Apples Cost Pears Cost Total Cost
5 $1.25 3 $1.05 $2.30
3636
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Answer Key
Grade 6 • Page 16
6Problems of the Week
Visual
Multi-Step
Fraction ActionProblem-SolvingStrategies
Geometry/Measurement
What Do You Say?
Connect the dots using 4 straight lines, and withoutlifting your pencil. (The lines may cross.)
Mark babysits for his little brother for
114 hours each weekday afternoon and
234 hours on Saturday. What is the total
number of hours he babysits his brotherin a week?
Chef Lee made a recipe of soup which
yields 30 cups. If he puts 114 cups of
soup in each serving, how manyservings does he have?
What is the largest 5-digit number that isdivisible by 3?
Explain how you can tell which is larger.
0.3099, 0.333333, 0.351
The hour hand of agrandfather clock is5 inches long. How fardoes the tip of the hourhand travel in a 12 hourperiod?
Use C = 2πr
Grade 6 • Page 17
MentalMath
6
Keeping Skills Sharp
1. 22 × 1000
2. 13 × 100
3. 720 ÷ 9
4. 6500 ÷ 10
5. 4870 – 210
6.
7. How many ounces are in 212 pounds?
8. How many quarts are in 10 pints?
9. 8 feet = ? yards
10. List the prime numbers from 2 to 20.
1. 48 – 22 =
2. What is the name of the point where the sides ofan angle intersect?
3. 8.51 – 3.2 =
4. 2,770,124 ÷ 9652 =
5. 1 gallon = ___ cups
6. Find the area of a walkway that goes around a rectangularswimming pool. The pool has a length of 30 feet, and a width of18 feet. The walkway has a width of 4 feet all around the pool.
7. Find the mean of the following temperature readings:
25˚, 5˚, 101˚, 16˚, 78˚
8. 6 × (100 – 76) =
9. If you roll a fair six-sided number cube. What is the probabilityof rolling an eight?
10. Complete the pattern: 1, 2, 6, 24, ___, ___
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
37
710
×
Grade 6 • Page 18
6Visual
Multi-Step
Fraction Action
Geometry/Measurement
He babysits for 9 hours in a week.
24 servings
Problem-Solving Strategies
What Do You Say?
Mental Math1. 22,000
2. 1300
3. 80
4. 650
5. 4660
6.
7. 40 ounces
8. 5 quarts
9. 2 23 yards
10. 2, 3, 5, 7, 11, 13, 17, 19
Keeping Skills Sharp1. 26
2. vertex
3. 5.31
4. 287
5. 16
6. 448 ft2
7. mean = 45˚
8. 144
9. P(8) = 0
10. 120, 720
Start
99,999
The hour hand would travel one circumference in a12 hour period. C = 2π(5) ≈ 31.4 inches
The numbers are the same in the tenths place, butthey differ in the hundredths place. The numberwith the largest hundredth is the larger number.(0.351)
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
310
Answer Key
Grade 6 • Page 19
7Problems of the Week
Visual
Multi-Step
Fraction ActionProblem-SolvingStrategies
Geometry/Measurement
What Do You Say?
Jimmy spends 34 of an hour getting
ready for work. It takes 30 minutes totravel to his office. If he needs to be atwork at 9:00 a.m., what time should heget up?
For a project Susan isworking on, she wants tooutline the circle and squareshown using gold wire. Ifthe square has a side lengthof 18 inches, how much goldwire will Susan need?
Gary’s age this year is a multiple of 4. Nextyear, his age will be a multiple of 7. He isolder than 20 and less than 50 years old.How old is Gary now?
Explain how you solved the geometryproblem above.
If the orbit of Venus is67 million miles and the orbitof the Earth is 93 millionmiles, what is the closest thetwo planets can be to eachother? What is the greatestdistance they can be apart?
It is 31112 miles around Westwood
Park’s bike trail. After riding around
the trail 512 times, Bobby had a flat
tire. About how many miles had heridden?
Earth
Venus
Grade 6 • Page 20
MentalMath
7
Keeping Skills Sharp
1. 820 + 900
2. 524 + 260
3. 3600 ÷ 9
4. 50 × 48
5. 8 × 6 × 500
6. What time is it 4 hours and 15 minutes after 1:30 p.m.?
7. How many ounces are in 3 cups and 1 pint?
8. What is the product of 8, 0, 5, and 6?
9. Which is larger, a meter or 3 feet?
10. How many centuries are in 475 years?
1. 156 – 25 =
2. If a coach estimates that each football player will eat 34 of a
pizza, how many should he order to feed 16 players?
3. 4 – 1.58 =
4. 38,880 ÷ 324 =
5. 1 meter = ___ centimeters
6. Find the perimeter of the parallelogram:base = 10.1 cmside = 8.2 cm
7. Find the median for the following measurements: 12 cm, 16 cm,18 cm, 21 cm, 28 cm, 30 cm
8. 9 + 2 × 5 + 6 =
9. If the letters of the word “CITY PLANNER” were each writtenon a card and placed in a bag,, what is the probability of pickingan “N”?
10. Complete the pattern: 1, 4, 16, 64, ___, ___
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 21
7Visual
Multi-Step
Fraction Action
Geometry/Measurement
7:45 a.m.
Best estimate might be 4 miles × 5.5 trips 22 miles.
Problem-Solving Strategies
What Do You Say?
Mental Math1. 1720
2. 784
3. 400
4. 2400
5. 24,000
6. 5:45 p.m.
7. 40 ounces
8. 0
9. 1 meter
10. 4 34 centuries
Keeping Skills Sharp1. 131
2. 12
3. 2.42
4. 120
5. 100
6. 36.6 cm
7. median = 19.5 cm
8. 25
9.211
10. 256, 1024
The square has a perimeter of 72 inches. The circlehas a circumference of C = 2π(9) ≈ 56.5 inches.Total = 128.5 inches
Gary is 48 years old now.
All four sides of the square are the same. The sideof the square is the diameter of the circle. Theradius of the circle would be half as much.
Closest26 million miles
Furthest160 million miles
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Answer Key
Grade 6 • Page 22
8Problems of the Week
Visual
Multi-Step
Fraction ActionProblem-SolvingStrategies
Geometry/Measurement
What Do You Say?
Change this triangle sothat it points up instead ofdown by moving only 3dots.
The midget league baseball team plans tohave a pancake breakfast to raise moneyfor new uniforms and a baseball cliniccamp. New uniforms cost $12 each.Camp costs $15 per player. How muchwill it cost a team if each player on theteam gets a new uniform, and 6 of the 12players goes to the camp?
Show how to divide 2rectangular candy barsso that 3 friends mayshare them equally.
What fractional part of acandy bar will eachreceive?
One wheel of a truck turns 330 times in aone mile trip. What is the radius?
Use C = 2 πr
Explain why π is represented by the decimal
3.14 and by the fraction 227 even though
those two numbers are not equal.
John bought 9 CDs. Some of them cost $12.75,and some of them cost $11.95. The total was$112.35. How many did he buy at each price?
# at $12.75 Cost # at $11.95 Cost Total
14
Grade 6 • Page 23
MentalMath
8
Keeping Skills Sharp
1. 600 + 3300
2. 900 – 100 – 20
3. 590 – 300
4. 30 + 25 + 20
5. 6300 ÷ 7
6. Number of faces on 3 Kleenex boxes.
7. Number of vertices on a cube.
8. How many quarters are in $6.75?
9. What time is 1 12 hours before noon?
10. 64 in = ___ ft
1. 28 – 12 =
2.1825
2 ÷ =
3. 0.5 – 0.0281 =
4. 515,052 ÷ 753 =
5. 1 ton = ____ pounds
6. Find the perimeter of a regular octagon with sides of 5.5 cm.
7. Find the range of the given distances: 2 km, 101 km, 125 km,
227 km, 307 km.
8. 9 + 6 – 4 × 3 + 12 =
9. If you roll a pair of fair six-sided number cubes, what is the
probability of rolling two numbers whose sum is 2?
10. Complete the pattern: 1, 64, 2, 32, 4, 16, ___, ___
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 24
8Visual
Multi-Step
Fraction Action
Geometry/Measurement
12 × $12 = $144 for uniforms6 × $15 = 90 for camp; total = $234
Problem-Solving Strategies
What Do You Say?
Mental Math1. 3900
2. 780
3. 290
4. 75
5. 900
6. 18
7. 8
8. 27
9. 10:30 a.m.
10. 5 13 ft or 5 ft 4 in
Keeping Skills Sharp1. 16
2.5
24
3. 0.4719
4. 684
5. 2000
6. 44 cm
7. range = 305
8. 15
9.1
36
10. 8, 8
Dividing each bar into fourths makes a total of
9 fourths. Each friend can have 34 .
5280 divided by 330 turns 16 feet per turn. If C=16 feet, the radius would be 16 divided by 6.28 =2.5 feet approximately.
6 CDs cost $12.75, 3 cost $11.95
The exact value of π is neither 3.14 nor 227 . Both
are close to the real value, but neither is exact.
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Answer Key
Grade 6 • Page 25
9Problems of the Week
Visual
Multi-Step
Fraction Action
Problem-SolvingStrategies
Geometry/Measurement
What Do You Say?
John spent $5.89 on snacks for a party.He spent 3 times that amount for drinks.If he had $6.42 left after he wentshopping, how much money did he startto the store with?
If it is 9:00 p.m., what is thefirst time(approximate)during the next hour thatthe hands on the clockwill form an acute angle?
Multi-StepMatt is running in a 9 mile race. Each mile he
runs is 34 of a minute longer than the mile
before it. If his first mile is 5 minutes, howlong will it take him to run the entire race?Convert your answer to seconds.
Explain how a right triangle can help youdecide whether another angle is acute or obtuse.
Which graph below could be the graph for the followingbudget items: $12, $24, $12, $48?
For a fund raiser, the sixth grade boxed5 pounds of pecans. If each box
weighed 13 of a pound, how many boxes
were there?
A B
Grade 6 • Page 26
MentalMath
9
Keeping Skills Sharp
1. 200 + 80 + 8000
2. 124 + 8
3. 225 + 25 + 50
4. 225 + 50
5. 490 ÷ 70
6. What are the first 4 square numbers?
7. 6000 lbs = ____ tons
8. Write 13 as a decimal.
9. How many US flags can a company make if theyhave 2500 stars?
10. What is 25 of 40?
1. What is the difference between 26 and 8?
2. Write 4
12 in lowest terms.
3. .06 + = 2.1
4. 2 01■ )16■ 8
5. If you needed 10 cups of milk in a recipe, how many quarts ofmilk must you buy to make the recipe?
6. How many feet of border will I need to put around the 4 sides ofmy bulletin board if the length is 5 yards and the width is2 yards?
7. What is the range of ages of the following students: John 16,Peter 15, Sue 13, Paul 16, Jane 12?
8. 1 + 12 ÷ 2 × 6 – 5 = ___
9. If you roll a pair of six-sided number cubes, what is the
probability of rolling two numbers whose sum is 6?
10. What are the next numbers in the pattern?
1, 2, 3, 5, 8, 13, ___, ___
*See answer key. The Mental Math section should not be duplicated for the students.
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 27
9Visual
Multi-Step
Fraction Action
Geometry/Measurement
$29.98
15 boxes
Problem-Solving Strategies
What Do You Say?
Mental Math1. 8280
2. 132
3. 300
4. 275
5. 7
6. 1, 4, 9, 16
7. 3 tons
8. .333…
9. 50
10. 16
Keeping Skills Sharp1. 18
2.13
3. 2.04
4. 2 018 )16 0 8
5. 3 quarts
6. 42 feet
7. 4 years
8. 32
9.16
10. 21, 34
B shows the correct proportions.
Approximately 9:31 p.m. Answer assumes that hour hand is fixed.
72 minutes,1 hour 12 minutes or 4,320 seconds
Angles with measure smaller than the measure of aright angle are acute, angles with measure largerthan the measure of a right angle but less than 180˚are obtuse.
536
This section provides anoral drill for sharpeningone's mental computation.Before each session givethese directions, "Numberyour paper from 1 to 10.Write your answer as thequestions are called out.Each question will berepeated one time only."
Answer Key