Problems of the Week
19
Visual
What fractional part of each figure below is shaded?
A
B
C
Geometry/
Measurement
Multi-Step
Stephanie weighs 96 pounds and
JoAnne weighs 86 pounds. The sum of
their weights is twice as much as Jane
weighs. How much
does Jane weigh?
Complete the chart showing how lines may
intersect. If the task is not possible, write
NP in the cell.
Number of Points of Intersection
Number of Lines
0
Fraction Action
1
2
3
4
5
1
NP
2
3
4
Terry watches
1
of a video on
2
1
of
3
the video on Sunday. How much of
the video did he watch?
Saturday. He watches another
Problem-Solving
Strategies
Jane bought some grapefruits and oranges.
Grapefruits were 89¢ each and oranges were
4 for $1.00. If he spent $6.70, how many of
each did she buy?
What Do You Say?
Do squares with the same area have to have
the same perimeter?
Do rectangles with the same area have to have
the same perimeter? Explain.
Grade 6 • Page 55
*See answer key. The Mental Math section should not be duplicated for the students.
19
2.
2
Round 9 4 to the nearest whole number.
How many months are in 12 years?
3.
List the factors of 14.
4.
How many millimeters are in 1 centimeter?
1.
Mental
Math
5.
Write 60% as a decimal.
3
5
6.
7+
+
8
8
7.
8 ÷ .25
1
8.
11 – 7
2
2
9.
5 +5
13
1
10. Estimate: 7
+
8
14
Keeping Skills Sharp
1.
Define prime number.
2.
Replace each box with a number.
■ 6 2 ■
–2 ■ 1 6
6 4 ■ 0
3.
4.
Write answers here:
5.
How many faces are in a
triangular pyramid?
6.
Which letter does not have
a line of symmetry?
C Z W
A circle has a circumference of
30 cm. What is its radius when
measured to the nearest tenth of
a centimeter?
7.
When cut out and folded, what
solid figure can be made out of
this shape?
8.
9.
Sales tax is 5%. Diana
bought a book for $27.00.
About how much tax did
she pay?
1 3 × 2 3 =
5
4
What is the sum of the
measures of the angles of a
triangle?
10. Write 2,642 in expanded
form.
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
Grade 6 • Page 56
19
Answer Key
Visual
Mental Math
The figure on the left has 1 shaded.
4
1
Middle figure:
16
Right figure: 1
64
1.
10
2.
144
3.
1, 2, 7, 14
4.
80 mm
5.
0.60
6.
8
Multi-Step
7.
32
91 pounds
8.
3
9.
30
Fraction Action
5
6
1
2
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. about 8
of the video
Geometry/Measurement
Keeping Skills Sharp
Number of Points of Intersection
0
1
2
3
4
1.
5
Number of Lines
2.
1
2
NP
A prime number has exactly 2 factors,1 and
itself.
8626
– 2216
6410
NP
NP
NP
NP
NP
NP
NP
NP
3.
48 cm
NP
NP
4.
cube
5.
4
6.
Z
7.
$1.35 (estimates could be $1.50)
11
4
20
180 degrees
3
4
NP
Problem-Solving Strategies
8.
5 grapefruits and 9 oranges
9.
10. Two thousand six hundred forty-two
What Do You Say?
All squares must have equal sides, so an area of
36 in.2 means the side must be 6 inches and the
perimeter 24 inches. However, rectangles do not
have to have equal sides. If a rectangle has an area
of 36 in.2, its sides might be 4 × 9 or 3 × 12. In each
case the perimeter would be different.
Grade 6 • Page 57
Problems of the Week
20
Visual
Express the value of the shaded area as a fraction,
decimal and percent.
A
B
Geometry/
Measurement
Multi-Step
The Wiley family went to Pizza Place
for dinner. They bought 2 pizzas for
$12.00 each. Mr. Wiley wanted to add a
20% tip to the bill. What was the total
cost of the dinner?
The distance from M to N is 32 meters.
From N to O the distance is 3 of the
4
distance from M to N. From O to P is 32
of the distance from N to O. From P to Q is
1
the distance from P to O. What is the
2
distance from P to Q?
N
P
Fraction Action
3
of an acre of yard.
4
2
She plants grass of it. What fractional
3
part of an acre is Mrs. Smith’s grass?
Mrs. Smith has
Grass
Flowers
One Acre
Mrs. Smith’s
Yard
M
O
Q
Problem-Solving
Strategies
The cost of a pizza can be found by this
formula:
C = 0.09 × d2; where d = the diameter of the
pizza in inches.
Use the formula to find the cost of a pizza with
a diameter of 10 inches.
What Do You Say?
When you divide a number by another
number, is the answer always smaller than the
number you divided into? Explain.
Grade 6 • Page 58
*See answer key. The Mental Math section should not be duplicated for the students.
20
Mental
Math
1.
300 + 7000 + 50
2.
3800 – 300 – 200
3.
20 + 60 – 30 – 10
4.
60 + 20 – 40 – 30 + 20
5.
6 × 9 × 500
6.
5
3 3
+
4 4
7.
6
1 4
–
5 5
8.
46
9.
If one book costs $2, how much will three books cost?
5
5
+4
8
8
10. 12 cups are to 3 quarts as ____ cups are to 1 quart.
Keeping Skills Sharp
Write answers here:
1.
Solve: 422.4 ÷ 12 = _____
1. ___________
2.
Robin ordered 6 extra-large pizzas. Each pizza is divided into
14 slices. How many slices of pizza are there altogether?
2. ___________
3.
Write 72 in standard form.
4.
Write
5.
What is 2.1 less than 5.62?
6.
Find the area in square feet.
3. ___________
1
as a decimal.
3
4. ___________
5. ___________
2 feet
24 inches
7.
Write the largest possible number using these digits: 3, 4, 5, 6, 7.
8.
What is the value of 5 in 100.5?
9.
1
Draw 2 squares and shade 1 .
2
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
1
10. What time will it be 4 hours from now?
2
Grade 6 • Page 59
20
Answer Key
Visual
A.
B.
Mental Math
3
, 0.75, 75%
4
3
, 0.60, 60%
5
Multi-Step
12.00
× 2
24.00
+
24.00
× .20
4.80
1.
7350
2.
3300
3.
40
4.
30
5.
27,000
6.
6
1
2
7.
5
2
5
8.
51
9.
$6
= $28.80
Fraction Action
1
2
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
1
4
10. 4
Keeping Skills Sharp
Geometry/Measurement
1.
35.2
2.
84
3.
49
4.
0.3…
5.
3.52
Problem-Solving Strategies
6.
4 ft2
$9
7.
76,543
8.
5
1
=
10
2
8 meters
9.
What Do You Say?
Some examples might include 8 ÷
1
= 16 or 8
2
10. Answers will vary.
divided by 1 = 8.
Grade 6 • Page 60
Problems of the Week
21
Visual
What percent of the grid is shaded?
Geometry/
Measurement
A turtle crawls around a circle with a radius
of 2 meters and a center at point C. Another
turtle crawls around a circle with a radius of
3 meters and a center at point D. If the
distance between C and D is 8 meters, what
is the shortest distance, in meters, that the
turtles could be from one another?
Multi-Step
If Bob spends $10
per hour on arcade
games, how long
would it take Bob
to spend a million
dollars?
Problem-Solving
Strategies
Fraction Action
Tom painted
1
of the fence. Ed painted
3
1
of the fence. What fractional part of
4
the fence is unpainted?
Joey had to be at school ready for a field trip at
8 a.m. He wants to get there 15 minutes early.
It takes him 1 hour to get ready and eat
breakfast in the morning. It takes him 25
minutes to get to school. What time should he
get up?
What Do You Say?
What is the difference between area and
perimeter? Use an example in your
explanation.
Grade 6 • Page 61
*See answer key. The Mental Math section should not be duplicated for the students.
21
Mental
Math
1.
9 × 600
2.
90 × 9
3.
2800 ÷ 70
4.
1800 ÷ 3
5.
6500 + 120 + 40
6.
Find the greatest common factor of 24 and 40.
7.
Write 4
8.
How many centimeters are in 4
9.
4 kilometers = ____ meters
5
as an improper fraction.
6
1
meters?
4
10. 9.4 meters = ____ centimeters
Keeping Skills Sharp
Write answers here:
1. ___________
1.
How much is 68 tens?
2.
What is the quotient when 18 is divided by 3?
3.
5 pounds = ___ ounces
4.
What is the largest whole number that will round to 600 when
rounded to the nearest hundred?
5.
Which is more, 0.607 or 0.67?
6.
Complete the following:
7.
What is 75% of 120?
8.
3
1
÷ =
12 3
9.
7
3:4 as 15:_____
2. ___________
3. ___________
4. ___________
5. ___________
6. ___________
7. ___________
1
3
+4 =
2
9
8. ___________
10. Which of the following is a better buy:
9. ___________
3 for $1.00 or 2 for $0.75?
10. __________
Grade 6 • Page 62
Answer Key
Visual
Mental Math
45%
1.
5400
2.
810
3.
40
4.
600
5.
6660
6.
8
7.
29
6
Fraction Action
8.
425 centimeters
5
12
9.
4000 meters
Multi-Step
About 11 years
21
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. 940
Keeping Skills Sharp
Geometry/Measurement
1.
680
3 meters
2.
6
3.
80 ounces
4.
649
Problem-Solving Strategies
5.
0.67
6:20 a.m.
6.
20
7.
90
8.
3
4
What Do You Say?
9.
11
Answers will vary.
10. 3 for $1.00
Grade 6 • Page 63
5
6
Problems of the Week
22
Visual
If a raindrop falls on
this road sign, what is
the probability that it
will fall in the shaded
area?
Geometry/
Measurement
BF bisects ∠EBC. BE bisects ∠DBC. If ∠1
has a measure of 80°, find the measure of ∠4.
Multi-Step
D
The Parker’s average phone bill is $56
per month. Their new long distance
service will save them $162 each year.
What will the Parker’s new average
monthly telephone bill be?
E
2
1
A
B
F
3
4
C
Problem-Solving
Strategies
Pam wants to make a pyramid-shaped display
of coffee. Each 2 pound can of coffee is
cylinder shaped. There are 7 cans on the
bottom row of the display. If there is one less
can in each of the rows above, how many cans
of coffee will Pam use in her display?
Fraction Action
5
yard of ribbon. If
8
you have 5 yards of ribbon, how many
bows can you make?
Pam starts the
display as shown.
Each bow uses
What Do You Say?
Explain the difference between a triangle and a
pyramid.
Grade 6 • Page 64
*See answer key. The Mental Math section should not be duplicated for the students.
22
Mental
Math
1.
What is the least common multiple of 4 and 5?
2.
396 + 504
3.
255 ÷ 5
4.
Find the product of 8 and 40.
5.
Estimate the sum of 15,960 and 7,040.
6.
Which is larger (5 × 43) or 200?
7.
Can Sally do 300 situps in 7 days if she does 40 a day?
8.
How much would 3 candy bars cost if each one is 45¢?
9.
Jane bought 2 CD’s for $9.50 each. What was her total
cost?
10. What is the greatest common factor of 12 and 20?
Keeping Skills Sharp
1.
What type of angles are ∠1 and ∠2?
2.
What number belongs
in the y column?
3.
x
2
1
0
–1
1 2
3 4
5 6
7 8
y
4
3
2
?
Circle each number that is divisible by both 2 and 3.
6, 10, 12, 14, 16, 24
Write answers here:
1. ___________
2. ___________
3. ___________
4. ___________
5. ___________
4.
Finish this pattern: 3, 6, 9, 12, 15, 18, ___
5.
Simplify:
20 + 7 × (4 ÷ 2)
7. ___________
Write in order from least to greatest.
532, 235, 325, 552
8. ___________
6.
7.
What is the value of the digit 4, in the number 93,048,210?
8.
Draw a line segment that is 7 cm long.
9.
45
Write as a decimal:
100
6. ___________
9. ___________
10. __________
10. There are 24 hours in a day. How many hours are in 2 weeks?
Grade 6 • Page 65
22
Answer Key
Visual
Mental Math
75%
1.
20
2.
900
3.
51
Multi-Step
4.
320
$42.50
5.
About 23,000
6.
5 x 43
7.
No
Fraction Action
8.
$1.35
8 bows
9.
$19.00
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. 4
Geometry/Measurement
25°
Keeping Skills Sharp
1.
supplementary
2.
1
3.
6, 12, 18
Problem-Solving Strategies
4.
21
28 cans
5.
34
6.
235, 325, 532, 552
7.
40,000
8.
See drawing
9.
0.45
What Do You Say?
10. 336 hours
Answers will vary. Some may include, a triangle is
a flat shape while a pyramid is solid. Or, a triangle
has only one face, while a pyramid has 4 or more.
Grade 6 • Page 66
Problems of the Week
23
Visual
C is the midpoint of PB, and P is the midpoint of QB.
Draw Q and P. If AB is 28 cm long, and CB is 6 cm
long, find the length of AQ.
A
C
B
Geometry/
Measurement
Multi-Step
Jim and Pete had a pizza eating contest.
1
2
Jim ate 1 cheese pizzas and 1
2
3
3
pepperoni pizzas. Pete ate 1 cheese
4
1
pizzas and 1 pepperoni pizzas. Who
2
ate more and how much more?
Match up names of the same figure. Which
two names do not match? Why?
A
B
Line AB
Line BA
Segment AB
Segment BA
Ray AB
Ray BA
Problem-Solving
Strategies
Rod went to buy school clothes at the mall. He
bought three pairs of jeans that all look
different. He also bought 5 shirts in 5 different
colors and two pairs of sneakers, a white pair
and a black pair. How many combinations
outfits are possible?
Fraction Action
Draw a model to represent
1
1
× .
2
3
What Do You Say?
Explain the relationship between the
diameter of a circle and its circumference.
Grade 6 • Page 67
*See answer key. The Mental Math section should not be duplicated for the students.
23
Mental
Math
1.
Round 19.539 to the nearest hundredth.
2.
How many days are in 12 weeks? 15 weeks?
3.
45 ÷ 9 + 6
4.
18,000 ÷ 9
5.
2
Round to the nearest whole number: 11 .
5
6.
9,000 × 16
7.
Is 93 divisible by 2? 3? 6?
8.
Multiply 21 × 6 and subtract 6.
9.
If 2 tapes cost $9.50, about how much will 3 tapes cost?
10.
1
1
+ 3 + 5
3
3
Keeping Skills Sharp
1.
Name the underlined place value: 8.632
2.
4.38 ÷ 2.5 =
3.
4.623 + 12.312 =
4.
There are 12 marbles in a bag: 1 black, 2 orange, 4 green,
5 yellow. What is the probability of choosing green or yellow?
5.
What is the range of these scores: 20, 8, 43, 7, 10, 37, 20, 5?
6.
What is the volume of a box that measures
Write answers here:
1. ___________
2. ___________
4 cm by 5 cm by 8 cm?
3. ___________
4. ___________
5. ___________
6. ___________
7.
9 liters = ___ milliliters
8.
Which metric unit of mass is most appropriate to use to measure
yourself: mg, g, kg?
9.
Show how this letter could look with a
translation to the right:
R
10. How many edges are on a cube?
Grade 6 • Page 68
7. ___________
8. ___________
9. ___________
10. __________
Answer Key
23
Visual
Mental Math
CB = 6, so PC = 6. PB = 12, so QP = 12. AB = 24,
and AQ = 4 cm.
1.
19.54
2.
84 days; 105 days
3.
11
Multi-Step
4.
2,000
1
Pete ate
pizza more than Jim.
12
5.
11
6.
144,000
Fraction Action
7.
no, yes, no
8.
120
9.
$14.25
123456
1234567
123456
1234567
123456
1234567
123456
1234567
123456
1234567
123456
1234567
10. 8
1
1
1
×
=
2
3
6
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
2
3
Keeping Skills Sharp
Geometry/Measurement
1.
hundredth
2.
1.752
3.
16.935
4.
9
3
=
12
4
5.
36
6.
160 cm3
Problem-Solving Strategies
7.
9,000 ml
3 × 5 × 2 = 30 outfits
8.
kg
Ray AB and Ray BA are not the same. Ray AB starts
at A and goes infinitely far to the right. Ray BA
starts at B and goes infinitely far to the left.
9.
R
What Do You Say?
Diameter is the distance across the middle,
circumference is the distance around the edge.
10. 12
Grade 6 • Page 69
Problems of the Week
Visual
24
How many faces, edges, vertices
are on this building made from a
pyramid on top of a cube,
next to a rectangular
prism and a
triangular
prism?
Geometry/
Measurement
Multi-Step
Stephanie bought a bag of chips for
$ .79 and 2 drinks for $ .55 each. How
much change should she get back from
$5.00?
If line r is parallel to line s and line m is parallel
to line n, determine the measures of all the
angles. ∠1 is 42°. Do not use a protractor…
not drawn to scale.
s
r
42°
1
m
n
2
5 6
3
7
9
Fraction Action
4
10
13
8
11
14
12
15
16
Compare. Use >, <, or =.
3
10
1
3
2
3
9
1
4
2
3
4
4
15
Adapted from Middle Grades Math, Prentice Hall
Problem-Solving
Strategies
Lisa sold $75 worth of play tickets. Adult
tickets cost $4 each and children’s tickets cost
$3 each. How many children’s tickets could
she have sold? Is there more than one
answer?
What Do You Say?
Explain how to find 6 ordered pairs that fit
the equation:
x+2=y
Grade 6 • Page 70
*See answer key. The Mental Math section should not be duplicated for the students.
24
Mental
Math
1.
Estimate: 16.43 – 8.7
2.
Estimate: 21.673 + 0.123
3.
Estimate: 3.8 × 4.2
4.
2
10
×
5
6
5.
74 – 2.3
6.
2
7.
Which is smaller: 16 ounces or 3 cups?
8.
Find
9.
Find 25% of 1,000.
10.
A square has a perimeter of 48 inches, what is the area?
1
1
×
3
2
2
of 150.
3
Keeping Skills Sharp
Write answers here:
1.
4927 + 699 – 582 =
1. ___________
2.
4
1
–
=
5
4
2. ___________
3.
394.63 – 36.493 =
3. ___________
4.
89,654 is divisible by which of the following numbers?
2, 3, 4, 5, or 6
4. ___________
5.
What is the largest prime factor of 200?
5. ___________
6.
Which is largest:
7.
The oldest person at a movie theatre is 95. The youngest person is 7. ___________
10. What is the range of ages?
8.
5 × (3 + 2) – 4
8. ___________
9.
What is the probability of drawing a green scarf out of a drawer if
there are 6 green, 8 blue and 4 black scarves in the drawer?
9. ___________
1 1 4 6
, , , ?
3 2 5 7
10. What is the mean of the following set of temperatures?
8˚, 12˚, 14˚, 10˚, 12˚, 9˚, 6˚, 9˚?
Grade 6 • Page 71
6. ___________
10. __________
24
Answer Key
Visual
Mental Math
10 faces, 17 edges, 11 vertices
1.
About 7
2.
About 22
3.
About 16
4.
2
3
5.
71.7
6.
5
6
7.
16 ounces
8.
100
9.
250
Multi-Step
$3.11
Fraction Action
3
1
>
10
4
1
2
3
= 3
2
4
3
4
>
9
15
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. 144 square inches
Keeping Skills Sharp
Geometry/Measurement
1.
5,044
42° for angles 1, 3, 6, 8, 9, 11, 14, 16
138° for angles 2, 4, 5, 7, 10, 12, 13, 15
2.
11
20
3.
358.137
4.
2
5.
7
6.
6
7
7.
85
8.
21
9.
6
1
=
18
3
Problem-Solving Strategies
There is more than 1 answer.
Possible ticket combinations:
Adult
Children
0
25
3
21
6
17
9
13
12
9
15
5
18
1
10. 10˚
What Do You Say?
Choose a number for x. Then add 2 to get y.
Grade 6 • Page 72
Problems of the Week
25
Visual
Which angle appears to be supplementary to a 45°
angle?
A
B
C
Geometry/
Measurement
E
D
∠2 is 3 times as big as ∠1. Find the measure
of ∠1.
Multi-Step
1
A frog is at the bottom of a 28 foot
hole. Each day he hops up 3 feet and
each night he slides back 1 foot. How
long will it take to escape the hole?
2
Another frog climbs up 2.5 feet each
day and slides back 9 inches each
night. How long will it take the frog
to get out?
Fraction Action
Draw a picture and write the improper
fraction for each mixed number.
Mixed
1
3
3
3
5
2
1
3
2
Picture
m
n
Problem-Solving
Strategies
John is thinking of a 3-digit number. The
number is even. It is divisible by 9. The
hundreds digit is 6 more than the ones digit.
All the digits are different. What is the
number?
What Do You Say?
Improper
Find the rule for these ordered pairs. Explain
how you can use x to find y.
x
1
2
3
4
5
6
y
4
7
10
13
16
19
If x is 200, how would you find y?
Grade 6 • Page 73
*See answer key. The Mental Math section should not be duplicated for the students.
25
Write each percent as its fraction equivalent.
1.
20%
2.
50%
3.
60%
4.
75%
5.
25%
Mental
Math
Estimate.
6.
111 × 21
7.
226 ÷ 25
8.
141 – 12
9.
603 + 312
10. 7 × 17
Keeping Skills Sharp
1.
What is the measure of angle a?
2.
Name this shape:
Write answers here:
1. ___________
a
2. ___________
25°
3. ___________
4. ___________
3.
How many lines of symmetry does this figure have?
4.
60 meters = ____ centimeters
5.
2 yards = ____ inches
6.
What is the perimeter
of this rectangle?
5. ___________
6. ___________
10 cm
7. ___________
6 cm
Define the diameter of a circle.
8. ___________
8.
What is the area of a triangle
with a base of 3.8 cm and height of 2.5 cm?
9. ___________
2.5 cm
7.
10. __________
9.
What is the mean of this group of scores?
86, 95, 100, 85, 90
10. Write
1
as a decimal.
4
Grade 6 • Page 74
3.8 cm
Answer Key
Visual
Answer: E
1.
1
5
2.
1
2
3.
3
5
4.
3
4
5.
1
4
Improper
Fraction
6.
2000 (answers may vary)
7.
9
7
3
18
5
8.
130
9.
900
Multi-Step
I.
14 days
II.
16 days
Fraction Action
Picture
1
3
3
3
5
2
1
3
2
5
3
Geometry/Measurement
45 degrees
Problem-Solving Strategies
630
25
Mental Math
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. 140 (answers may vary)
Keeping Skills Sharp
1.
65
2.
parallelogram
3.
4
4.
6,000
5.
72
6.
32 centimeters
7.
a line segment with endpoints on the circle and
passing through the center of the circle
8.
4.75 cm2
9.
91.2
10. 0.25
What Do You Say?
Multiply 200 × 3 and then add 1.
Grade 6 • Page 75
Problems of the Week
26
Visual
Draw a mirror image.
Geometry/
Measurement
Multi-Step
For every two goldfish I buy at the
regular price, I get a third goldfish for a
penny. I spent $0.45 for nine goldfish.
Find, in cents, the price of one goldfish.
What is the perimeter of the figure below?
10 cm
10 cm
4 cm
10 cm
10 cm
Problem-Solving
Strategies
Fraction Action
Write two fractions that are equivalent
to each of the following:
A
2
3
2
B
5
11
C
12
Make a Chart
Bethany dropped a basketball from the top of
a building that was 80 meters tall. She found
that after the first bounce it bounced back 40
meters and 20 meters on the second bounce.
If this pattern continues, how high will the
ball bounce on the 5th bounce?
What Do You Say?
Explain the relationship among 75%, .75,
3
and .
4
Grade 6 • Page 76
*See answer key. The Mental Math section should not be duplicated for the students.
Write each percent as its decimal equivalent.
1.
50%
26
2.
25%
3.
75%
4.
30%
5.
10%
Mental
Math
Estimate.
6.
42 × 31
7.
100 ÷ 21
8.
73 – 21
9.
290 + 350
10. 61 × 19
Keeping Skills Sharp
Write answers here:
20
8
1.
Simplify:
2.
What is a variable?
3.
Solve for z : z – 7 = 15
4.
Solve for n : 7n = 14
5.
Which property does this equation illustrate?
15 + 9 = 9 + 15
4. ___________
6.
Write as a mathematical equation:
Twenty divided by a number equals 5.
5. ___________
7.
Fill in the missing number in this pattern:
1. ___________
2. ___________
3. ___________
22, 23, 25, 28, ___, 37
8.
9.
6. ___________
7. ___________
What rule does this series follow?
{2, 4, 8, 16, ... }
What are intersecting lines?
8. ___________
9. ___________
10. What are two angles called if the sum of their measures is equal to
180°?
Grade 6 • Page 77
10. __________
Answer Key
Visual
Multi-Step
Answer = 7¢ each
26
Mental Math
1.
0.5
2.
0.25
3.
0.75
4.
0.3
5.
0.1
6.
1,200
7.
5
8.
50
9.
650
This section provides an
oral drill for sharpening
one's mental computation.
Before each session give
these directions, "Number
your paper from 1 to 10.
Write your answer as the
questions are called out.
Each question will be
repeated one time only."
10. 1,200
Fraction Action
2
4
6
8
=
=
=
3
6
9
12
2
4
6
8
=
=
=
5
10
15
20
11
22
33
44
=
=
=
12
24
36
48
Keeping Skills Sharp
1
2
1.
2
2.
A letter that is used to represent a number in an
equation or expression.
3.
z = 22
Geometry/Measurement
4.
n=2
Answer: 88 cm
5.
commutative property of addition
6.
20 ÷ n = 5
7.
28
8.
Each number is two times the preceding
Problem-Solving Strategies
number. The nth term of the series is equal to
Answer: 2.5 meters
2n.
9.
lines that meet (or cross each other)
10. supplementary angles
What Do You Say?
75%, .75, and 3 are all equivalent.
4
All may be renamed as 75 .
100
Grade 6 • Page 78
Problems of the Week
27
Visual
Complete so each side
is a mirror image of
the other.
Geometry/
Measurement
Multi-Step
Find the number of faces?
edges? vertices?
The two triangles shown are similar. The
total perimeter of both is 81 inches. Find
the missing sides.
6
12
9
Problem-Solving
Strategies
18
Find the pattern
The following table shows the height of a plant
after growing for a certain period of time. Fill
in the next height and explain your answer.
Fraction Action
Show a picture of each fraction in 3
different ways:
3
A
4
7
B
10
1
C
5
WEEK
1
2
3
4
5
HEIGHT
10 cm
18 cm
22 cm
24 cm
_____
What Do You Say?
You are having a party for 65 people. You
know that each person drinks two cups of
punch. Explain how you would find out how
many gallons of punch are needed.
Grade 6 • Page 79
*See answer key. The Mental Math section should not be duplicated for the students.
27
1.
What is 10% of 60?
2.
What number is half-way between 27 and 31?
3.
50 × 40
4.
5
1
+
6
6
5.
What is
6.
How much time is there from 7:20 a.m. to 8:30 a.m.?
7.
Which is greater: .406 or .46?
8.
1
n
=
2
10
9.
Round to the hundredths place: 23.673
10.
48
4 × 2
1
of 600?
6
Keeping Skills Sharp
1.
Mental
Math
Write answers here:
1. ___________
Find the area in square feet.
2. ___________
4 feet
3. ___________
60 inches
4. ___________
2.
Order from least to greatest: 3.75, 22.4, .06, 2.35, 12.09.
3.
Compare using <, >, or =.
4.
What is the place value of the underlined digit: 261,842?
5.
Estimate 62 × 102.
6.
Write 43 as a product of factors.
7.
Simplify: 3 × 4 ÷ 2 + 8
8.
What is 35% of 20?
9.
3
?
=
6
8
–7
–12
5. ___________
6. ___________
7. ___________
8. ___________
9. ___________
10. __________
10. Write 25.734 in words.
Grade 6 • Page 80
Answer Key
Mental Math
Visual
1.
6
2.
29
3.
2,000
4.
5.
6.
7.
Multi-Step
8.
The missing sides are 12 and 24 inches.
9.
27
This section provides an
oral drill for sharpening
1
one's mental computation.
Before each session give
100
these directions, "Number
1 hour and 10 minutes your paper from 1 to 10.
Write your answer as the
.46
questions are called out.
Each question will be
n=5
repeated one time only."
23.67
10. 6
Fraction Action
Keeping Skills Sharp
Geometry/Measurement
12 faces; 27 edges; 17 vertices
Problem-Solving Strategies
1.
20 ft2
2.
.06, 2.35, 3.75, 12.09, 22.4
3.
–7 > –12
4.
10,000 or ten thousand's place
5.
6,000
6.
4×4×4
7.
14
8.
7
9.
?=4
10. twenty-five and seven hundred thirty-four
thousandths
The fifth week would have a height of 25 cm.
The difference is being cut in half each time.
What Do You Say?
Multiply 65 by 2: 130 cups of punch needed
Divide 130 by 16 (16 cups per gallon):
8 1 gallons of punch needed
8
Grade 6 • Page 81