Transcript Math 7 Final

Math 7 Final
CHAPTER 1 REVIEW
Patterns and Relations
1. Which number is divisible by 3?
34, 51, 68, 38
a.
b.
c.
d.
34
38
51
68
Patterns and Relations
2. Use the divisibility rules to find all the
factors of 112.
a.
b.
c.
d.
1, 2, 3, 6, 7, 16, 18, 36, 56, 112
1, 2, 7, 16, 56, 112
1, 2, 7, 8, 14, 16, 56, 112
1, 2, 8, 14, 56, 112
Patterns and Relations
Identify the variable in the algebraic expression
42 – 18x.
a.
b.
c.
d.
42
18
x
there isn’t a variable
Patterns and Relations
Brianna earns $8 for each hour she works.
Write a relation for her earnings if she
works for h hours.
a.
b.
c.
d.
$(h + 8)
$8h
$8h + 1
$(8h + 8)
Patterns and Relations
Write an equation for “When 19 is subtracted
from a number, the answer is 21.”
a.
b.
c.
d.
n + 19 = 40
19 = n – 21
n - 19 = 21
19 – n = 21
Patterns and Relations
Write an equation for the situation.
Patricia has j posters. She sold 7 and has 15 left.
a.
b.
c.
d.
j + 7 = 15
j = 15 + 7
j – 7 = 15
j = 22 – 7
Patterns and Relations
Write an equation for the sentence.
The sum of 5 and a number is 14.
a.
b.
c.
d.
5 - x = 14
5x = 14
5 + x = 14
14 + x = 5
Patterns and Relations
Solve this equation: d divided by 6 equals 5.
a.
b.
c.
d.
d = 30
d=6
d = 25
d = 36
Patterns and Relations
Write an equation for this sentence. Then solve
the equation.
Six more than a number is 12.
a.
b.
c.
d.
x + 6 = 12, x = 6
6x = 12, x = 6
x + 6 = 12, x = 2
6x = 12, x = 2
Patterns and Relations
Solve this equation: 18 = f + 9
a.
b.
c.
d.
f=9
f = 27
f = 10
f=2
Patterns and Relations
Solve this equation: 9 + 8 = y + 5
a.
b.
c.
d.
y = 13
y = 12
y=7
y = 11
Patterns and Relations
Solve this equation: -5 = x - 5
a.
b.
c.
d.
x = -5
x=5
x=0
x = 10
Patterns and Relations
Solve this equation: x - 7 = 12
a.
b.
c.
d.
x = 19
x = -5
x=5
x = -19
Patterns and Relations
Write an equation to find this number: a number
reduced by 8 is equal to 6.
Solve the equation.
a.
b.
c.
d.
x + 8 = 6, x = 2
x - 8 = 6, x = -2
x - 8 = 6, x = 14
8 - x = 6, x = 14
Patterns and Relations
In x weeks and 8 days, it will be Hanna’s graduation.
Her graduation is in 22 days.
Write an equation you can use to find the value of
x. Solve the equation.
a.
b.
c.
d.
7x + 8 = 22, x = 2
x + 8 = 22, x = 14
x + 22 = 30, x = 8
7x - 22 = 8, x = 4
Math 7 Final
CHAPTER 2 REVIEW
Integers
On Monday morning, Trish had $60 in her wallet. The following
shows how this amount changed over the week.
On Monday she earned $30! Tuesday she spent $15! Wednesday
she spent $25! Thursday she earned $51! At the end of Friday she
had $20 left over!
How much did Trish put into, or take out of, her wallet on Friday
afternoon?
A) Trish took out $101
B) Trish took out $81
C) Trish put in $46
D) Trish put in $12
Integers
The expression that best represents the model shown
above is:
A) (-5) + (+4) = 0
B) (-5) + (+9) = 4
C) (+9) - (+5) = 4
D) (+9) - (-5) = 14
Integers
Jennifer thought of a number and then performed these
calculations:
· Add -10
· Subtract -7
· Add +5
· Subtract -3
The result was +8.
What was the original number?
A) +3
B) +5
C) +7
D) +9
Integers
Red tiles = -1
Yellow Tiles = +1
Suppose you had a bag with 10 red tiles and 10
yellow tiles in it. If you reached in and, without
looking, drew 6 tiles from the bag, how many
different possible integers might these tiles
model?
A) 7
B) 6
C) 5
D) 4
Integers
Which of the following statements does not
represent the integer -5?
A) 5 floors below the main floor.
B) 5 km above sea level.
C) A loss of 5 dollars.
D) 5 years younger than your sister.
Integers
Substance
Boiling Point
Helium
-269°C
Toluene
111°C
Iron
2861°C
Tungsten
5900°C
According to the above table, how much cooler is the
boiling point of helium than the boiling point of
tungsten?
A) 269°C
B) 5900°C
C) 5631°C
D) 6169°C
Integers
In a Magic Square, all rows (horizontal), columns (vertical) and
full diagonals have the same sum. This sum is called the Magic
Constant for the square. What is the Magic Constant for the
Magic Square shown below?
A) -13
B) -12
C) -11
D) -10
Integers
The value that must replace ___ in the
equation (+5) + ___ = +8 is:
A) +2
B) +3
C) +4
D) +5
Integers
The expression below that has the greatest
result is:
A)
B)
C)
D)
(+4) - (+3)
(-7) - (+4)
(+6) - (-4)
(-2) - (-5)
Integers
Which of the statements below is FALSE?
A) The sum of two positive integers is always
positive.
B) The sum of two negative integers is always
negative.
C) The sum of a negative integer and a positive
integer is always positive.
D) The sum of a negative integer and a
positive integer is sometimes positive.
Math 7 Final
CHAPTER 3 REVIEW
Fractions/Decimals/Percents
Which of the following terms all have equivalent
values?
A) 60%, 0.6, 3/5
B) 125%, 12.5, 6/5
C) 3%, 0.3, 3/10
D) 45%, 0.45, 8/20
Fractions/Decimals/Percents
The decimal 1.64, converted to a fraction and
reduced to lowest terms, would be:
A) 1_16/25
B) 1_64/100
C) 1_32/50
D) 1.75
Fractions/Decimals/Percents
A student passed a survey around her school to learn what
everybody's favorite physical activity was. The results are
shown in the following pie chart:
To the nearest whole number,
what percentage of students
enjoy cycling the most?
A) 81%
B) 22%
C) 19%
D) 18%
Fractions/Decimals/Percents
Alex spent half her allowance paying for
admission to an amusement park. She then spent
half of the money she had left on ride tickets and
a snack. If she returned home with $5.25, how
much money did she originally have?
A) $7.88
B) $21.00
C) $10.50
D) $31.50
Fractions/Decimals/Percents
The fraction which has the same value as 0.1 is:
A) 1/9
B) 1/10
C) 10/11
D) 11/10
Fractions/Decimals/Percents
Professor Mathemabulous says:
"Bones account for about 20% of a person's total mass."
A reasonable estimate for the mass of bones in a
person who weighs 67.4 kg would be:
A) 12 kg
B) 14 kg
C) 16 kg
D) 18 kg
Fractions/Decimals/Percents
Graham has a handful of quarters (q), dimes (d),
nickels (n) and pennies (p). The algebraic
equation which relates the total value of the
coins is:
A) (0.25)q + (0.1)d + (0.5)n + (0.1)p = value in dollars
B) q + d + n + p = value in dollars
C) (0.25)q + (0.1)d + (0.05)n + (0.01)p = value in dollars
D) (0.25)q + (0.1)d + (0.5)n + (0.1)p = value in cents
Fractions/Decimals/Percents
The Bay of Fundy is home to the world's highest tides.
The water level at high tide averages 16 metres higher than at low
tide! If the water rises 1.30 metres every 30 minutes, how long does
it take to go from low tide to high tide?
A) 3 hours
B) 6 hours
C) 9 hours
D) 12 hours
Fractions/Decimals/Percents
If the numbers 3/4, 70% and 0.72 are written
in ascending order, the result would be:
A) 3/4, 70%, 0.72
B) 0.72, 3/4, 70%
C) 0.72, 70%, 3/4
D) 70%, 0.72, 3/4
Math 7 Final
CHAPTER 4 REVIEW
Circles and Area
The diameter of the Earth at the equator is
12,756.32 km. If people were to hold hands
around the world at the equator, what is a
reasonable estimate as to how many people it
would require?
A) 13 million
B) 40 million
C) 130 million
D) 4 billion
Circles and Area
Jacob's tree has grown approximately 5 cm in
circumference each year. The circumference of
the tree is now 160 cm. How old is Jacob's
tree?
A) 15 years
B) 30 years
C) 24 years
D) 32 years
Circles and Area
The students in a cooking class used their large grill
to cook an enormous crêpe (and since they all love
math, they cooked it in the shape of a PERFECT
circle) with a circumference of 62.8 cm!
What is the area of this crêpe?
A) 10 square centimeters
B) 20 square centimeters
C) 314 square centimeters
D) 1256 square centimeters
Circles and Area
Based on the information in
the pie chart above, if you
selected 10 Grade 7 students
at random, how many of
them would you expect to
have blue eyes?
A) 2
B) 4
C) 6
D) 10
Circles and Area
Refer to the information in the previous
question. If 36 Grade 7 students have green
eyes, how many would you expect to have
blue eyes?
A) 112
B) 36
C) 28
D) 20
Circles and Area
The distance around a circle is called its
_________________
A) Radius
B) Circumference
C) Diameter
D) Area
Circles and Area
In the figure shown
above, the perimeter of
the square is 24 cm.
Given this information, what is the radius of the
circle inscribed within the square?
A) 3.8 cm
B) 12 cm
C) 6 cm
D) 3 cm
Circles and Area
Which of the following statements is true?
A) The radius of a circle is equal to twice the
diameter.
B) The diameter of a circle is equal to twice
the radius.
C) The circumference of a circle is equal to
twice the radius.
D) The diameter of a circle is equal to half the
circumference.
Circles and Area
Junior high students designed a coin to be
used at a penny carnival that they were
hosting for a nearby elementary school. The
coin was 50 mm in diameter. To the nearest
mm, what was the circumference of the coin?
A) 79 mm
B) 157 mm
C) 196 mm
D) 314 mm
Circles and Area
If there are 50 students
in grade 7, and 4 of
them like to play Field
Hockey best, what
percent of the students
prefer to play no sport?
A) 8
B) 10
C) 17
D) 83
Math 7 Final
CHAPTER 5 REVIEW
Operations with Fractions
A plane, flying from Vancouver to Montreal, was
1/6 full of passengers and 1/3 full of cargo.
How much space was left?
A) 1/2
B) 1/3
C) 1/4
D) 1/5
Operations with Fractions
Use the numbers 4, 5, 8 and 9, only once, to replace
the squares in:
The SMALLEST sum would be created by:
A) 8/4 + 5/9
B) 4/5 + 8/9
C) 4/8 + 5/9
D) 8/4 + 9/5
Operations with Fractions
A tangram is a square puzzle that is divided into 7 pieces.
Knowing that piece F is 1/4 , what fraction of the square would be
represented if you were to add pieces D and C together?
A) 3/16
B) 1/4
C) 5/16
D) 3/8
Operations with Fractions
A certain grade 7 math teacher has a hideaway where he
likes to go to mark tests, away from the phone and
computer.... To reach his tree house hideaway, the
teacher has to climb 8_5/6 meters up the tree trunk
and then 9_1/3 meters up a rope ladder.
How far does the teacher have to climb altogether?
A) 17_7/12
B) 17_1/6
C) 18_1/6
D) 18_1/2
Operations with Fractions
Elyse watched one program for ¼ of an hour,
and then switched to a documentary about
glaciers, for 20 minutes. For what fraction of
an hour did Elyse watch television?
A) 7/20
B) 1/3
C) 1/2
D) 7/12
Operations with Fractions
19_5/18 + 16_1/3
A) 35_5/54
B) 35_2/7
C) 35_4/21
D) 35_11/18
E) 35_5/6
Operations with Fractions
Use the numbers 4, 5, 6 and 7, only once, to replace
the squares in:
The GREATEST sum would be created by:
A) 7/4 + 5/6
B) 4/5 + 6/7
C) 4/6 + 5/7
D) 6/4 + 7/5
Operations with Fractions
Subtract: 9/10 – 3/10 =
A) 6/0
B) 12/10
C) 3/5
D) 12/20
Operations with Fractions
3/5 + 1/8 + 1/8 =
A) 1/7
B) 3_1/4
C) 17/20
D) 5/21
E) 3/320
Operations with Fractions
Subtract: 3_1/4 – 1_2/3 =
A) 2_5/12
B) 1_7/12
C) 1_5/12
D) 2_7/12
Math 7 Final
CHAPTER 6 REVIEW
Equations
Using the algebraic equation 3x + 1 = y + 2
What is the value of x if the value of y is 8?
A) x = 9
B) x = 10
C) x = 21
D) x = 3
Equations
A can of pop weighs 355 g and a sandwich
weighs 125 g. What is the total mass of the
items in Ethan's lunch bag if he fills it with 2
cans of pop and 4 sandwiches?
A) 1210 g
B) 210 g
C) 480 g
D) 1670 g
The graph
beside shows
how much Phil
the Landscaper
charges to
prune trees:
Equations
Which of the equations shown below best describes the amount of
money Phil makes (m) in terms of the number of hours he works
(t)?
A) m = 15t
B) m = 15 + 15t
C) m = t + 15
D) t = 15m
Equations
Given the mathematical equation
y=x–3
If y = 12, then the value of x is:
A) 4
B) 9
C) 15
D) 36
Equations
The area of a regular polygon can be calculated using
the mathematical expression: A = ½ anl, where
A = area
a = apothem
n = number of sides
l = length of sides
If a regular polygon has an area of 180 cm2, an
apothem of 6 cm and sides 12 cm in length, how many
sides does it have?
A) 3
B) 2.5
C) 5
D) 10
Equations
How many counters must be in the cup to
make the equation true?
A) 6
B) 8
C) 10
D) 12
Equations
Frank is weighing some nails. Frank discovers that the
mass of a standard nail is equal to the mass of 3.5
finishing nails. Frank also found that the mass of a
roofing nail is equal to the mass of 1.25 standard nails.
If a finishing nail weighs 2.3 grams, what is the weight
of a standard nail and a roofing nail?
A) Standard nail = 1.29 grams; Roofing nail = 1.03 grams
B) Standard nail = 8.05 grams; Roofing nail = 10.06
grams
C) Standard nail = 8.05 grams; Roofing nail = 12 grams
D) Standard nail = 8.05 grams; Roofing nail = 5.63
grams
Equations
Jaide and Ellie are cousins. Jaide is 3 years
older than Ellie. When added together, their
ages equal 15. How old is Jaide?
A) 11 years old
B) 6 years old
C) 9 years old
D) 27 years old
Equations
If b + 11 = 14, the value of b is
A) 1
B) 2
C) 3
D) 4
Equations
David had some money saved. He spent $12.00
at the movies and then had $7.00 left.
Which equation correctly shows how much
money David had to begin with?
A) 12 + x = 7
B) x – 12 = 7
C) 12 – x = 7
D) x + 12 = 7
Math 7 Final
CHAPTER 7 REVIEW
Data Analysis
At the school cafeteria there are three different
types of muffin for sale. Today, there are 12 bran
muffins, 8 blueberry muffins and 4 poppy seed
muffins available. If Carla selects one muffin at
random, what is the probability that she will get a
blueberry muffin?
A) 1/6
B) 1/2
C) 1/3
D) 1/4
Data Analysis
Stacy is getting new glasses. She has six different
frames from which to choose, and with whatever
frame she selects, she has her choice of regular
or tinted lenses. How many different frame/lens
combinations are there for Stacy to choose from?
A) 8
B) 2
C) 6
D) 12
Data Analysis
If the mean weight for adult female golden
retrievers was 21.14 kg, what was the total
mass of 11 adult female golden retrievers?
A) 1.92 kg
B) 20.14 kg
C) 22.14 kg
D) 232.54 kg
Data Analysis
A fundraising project raises $3261.45 for charity.
If there are 15 students in the class, what was
the mean amount raised by each student?
A) $217.43
B) $4892.10
C) $21.74
D) $326.14
Data Analysis
What is the theoretical probability of flipping a
coin three times in a row and getting heads
every time?
A) 1/2
B) 1/4
C) 1/8
D) 1/16
Data Analysis
June is a local town's caterer. At the town's
Volunteer Appreciation Dinner buffet, she put out
42 slices of apple pie and 36 slices of blueberry
pie. Assuming that the pies are equally well-liked
in the community, the probability that the first
piece taken will be blueberry is
A) 0.46
B) 0.03
C) 0.54
D) 0.01
Data Analysis
A mega-movie theatre complex has 19 different
theatres operating at one time. The length of
each of the movies currently being shown is
recorded below.
Length of Movies (Minutes)
75, 104, 142, 122, 93, 150, 125, 128, 135, 98,
70, 103, 118, 105, 122, 122, 118, 84, 133
What is the mean of the movie length in
minutes?
Data Analysis
The mean of the set of numbers: {4, 7, 10, 11}
is:
A) 7
B) 9
C) 8
D) 32
Data Analysis
Given the following number set: {9, 2, 7, 12, 14,
8}, what is the range?
A) 9 to 8
B) 12
C) 2 to 14
D) 6
Data Analysis
The number of chocolate chips in chocolate chip
cookies was recorded. The mean was 12 and
the median was 8. The company which
produces the cookies then had to cut
production costs, and reduced the amount of
chocolate chips they used in the cookies by
25%. What are the new mean and median?
A) Mean= 3; median = 2
B) Mean = 9; median = 6
C) Mean = 15; median = 10
D) Mean = 12; median = 8
Math 7 Final
CHAPTER 8 REVIEW
Geometry
What are the
coordinates of
the point
shown?
A) (-3, -4)
B) (-3, 4)
C) (3, -4)
D) (3, 4)
Geometry
Which of the following points is located on the
negative y-axis?
A) (5, 0)
B) (0, 4)
C) (0, -4)
D) (-5, 0)
Geometry
If ΔABC is reflected over the
y-axis, the new
coordinates of Point B are:
A) (1, -5)
B) (1,5)
C) (-1,5)
D) There is not enough information
provided to answer this question.
Geometry
Which of the following points is located in
Quadrant 2?
A) (-5, -2)
B) (5, -2)
C) (-5, 2)
D) (5, 2)
Geometry
Which of the following points is located on the
positive x-axis?
A) (5, 0)
B) (0, 4)
C) (0, -4)
D) (-5, 0)
Geometry
Which of the following points is located in
Quadrant 3?
A) (-3, -7)
B) (3, -7)
C) (-3, 7)
D) (3, 7)
Geometry
If point (-5,2) undergoes a translation (R4, U1)
its new coordinates are:
A) (-1,3)
B) (-9,3)
C) (1,3)
D) (-4,3)
Geometry
The point (1, 17) is rotated by an angle of 90°
counterclockwise about the origin. What are
the coordinates of the rotated point?
A) (-17, 1)
B) (-1, 17)
C) (-17, -1)
D) (17, 1)
E) (1, 17)
Geometry
Which of the following points is located in
Quadrant 4?
A) (-3, -7)
B) (3, -7)
C) (-3, 7)
D) (3, 7)
Geometry
What are the
coordinates of the
point shown?
A) (-8, 5)
B) (-5, 8)
C) (-8, -5)
D) (-5, -8)