Math 7 Final

CHAPTER 1 REVIEW

Patterns and Relations

1. Which number is divisible by 3?34, 51, 68, 38

a. 34b. 38c. 51d. 68

Patterns and Relations

2. Use the divisibility rules to find all the factors of 112.

a. 1, 2, 3, 6, 7, 16, 18, 36, 56, 112b. 1, 2, 7, 16, 56, 112c. 1, 2, 7, 8, 14, 16, 56, 112d. 1, 2, 8, 14, 56, 112

Patterns and Relations

Identify the variable in the algebraic expression 42 – 18x. 

a. 42b. 18c. xd. 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. $(h + 8)b. $8h c. $8h + 1 d. $(8h + 8)

Patterns and Relations

Write an equation for “When 19 is subtracted from a number, the answer is 21.”

a. n + 19 = 40b. 19 = n – 21 c. n - 19 = 21d. 19 – n = 21

Patterns and Relations

Write an equation for the situation.Patricia has j posters. She sold 7 and has 15 left. a. j + 7 = 15b. j = 15 + 7c. j – 7 = 15d. j = 22 – 7 

Patterns and Relations

Write an equation for the sentence.The sum of 5 and a number is 14.

a. 5 - x = 14b. 5x = 14c. 5 + x = 14d. 14 + x = 5

Patterns and Relations

Solve this equation: d divided by 6 equals 5. a. d = 30b. d = 6c. d = 25d. d = 36

Patterns and Relations

Write an equation for this sentence. Then solve the equation.

Six more than a number is 12. a. x + 6 = 12, x = 6b. 6x = 12, x = 6c. x + 6 = 12, x = 2d. 6x = 12, x = 2

Patterns and Relations

Solve this equation: 18 = f + 9 a. f = 9b. f = 27c. f = 10d. f = 2

Patterns and Relations

Solve this equation: 9 + 8 = y + 5 a. y = 13b. y = 12c. y = 7d. y = 11

Patterns and Relations

Solve this equation: -5 = x - 5 a. x = -5b. x = 5c. x = 0d. x = 10

Patterns and Relations

Solve this equation: x - 7 = 12 a. x = 19b. x = -5c. x = 5d. 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. x + 8 = 6, x = 2b. x - 8 = 6, x = -2c. x - 8 = 6, x = 14d. 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. 7x + 8 = 22, x = 2b. x + 8 = 22, x = 14c. x + 22 = 30, x = 8d. 7x - 22 = 8, x = 4

Math 7 Final

CHAPTER 2 REVIEW

IntegersOn 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 $101B) Trish took out $81C) Trish put in $46D) Trish put in $12

Integers

The expression that best represents the model shown above is: A) (-5) + (+4) = 0B) (-5) + (+9) = 4C) (+9) - (+5) = 4D) (+9) - (-5) = 14

IntegersJennifer 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) +3B) +5C) +7D) +9

Integers

Red tiles = -1 Yellow Tiles = +1Suppose 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) 7B) 6C) 5D) 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.

IntegersSubstance 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°CB) 5900°CC) 5631°CD) 6169°C

IntegersIn 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) -13B) -12C) -11D) -10

Integers

The value that must replace ___ in the equation (+5) + ___ = +8 is:

A) +2B) +3C) +4D) +5

Integers

The expression below that has the greatest result is:

A) (+4) - (+3)B) (-7) - (+4)C) (+6) - (-4)D) (-2) - (-5)

IntegersWhich 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/PercentsA 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/PercentsAlex 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) $7.88B) $21.00C) $10.50D) $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 kgB) 14 kgC) 16 kgD) 18 kg

Fractions/Decimals/PercentsGraham 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/PercentsThe 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 hoursB) 6 hoursC) 9 hoursD) 12 hours

Fractions/Decimals/PercentsIf 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 AreaThe 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 millionB) 40 millionC) 130 millionD) 4 billion

Circles and AreaJacob'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 yearsB) 30 yearsC) 24 yearsD) 32 years

Circles and AreaThe 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 centimetersB) 20 square centimetersC) 314 square centimetersD) 1256 square centimeters

Circles and AreaBased 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) 2B) 4C) 6D) 10

Circles and AreaRefer 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) 112B) 36C) 28D) 20

Circles and Area

The distance around a circle is called its _________________

A) RadiusB) CircumferenceC) DiameterD) Area

Circles and Area

Given this information, what is the radius of the circle inscribed within the square? A) 3.8 cmB) 12 cmC) 6 cmD) 3 cm

In the figure shown above, the perimeter of the square is 24 cm.

Circles and AreaWhich 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 AreaJunior 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 mmB) 157 mmC) 196 mmD) 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) 8B) 10C) 17D) 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 FractionsUse 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 FractionsA 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 FractionsElyse 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 Fractions19_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 FractionsUse 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 FractionsSubtract: 9/10 – 3/10 =

A) 6/0

B) 12/10

C) 3/5

D) 12/20

Operations with Fractions3/5 + 1/8 + 1/8 =

A) 1/7

B) 3_1/4

C) 17/20

D) 5/21

E) 3/320

Operations with FractionsSubtract: 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 = 9B) x = 10C) x = 21D) x = 3

EquationsA 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 gB) 210 gC) 480 gD) 1670 g

Equations The graph beside shows how much Phil the Landscaper charges to prune trees:

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 = 15tB) m = 15 + 15tC) m = t + 15D) t = 15m

Equations

Given the mathematical equation y = x – 3 If y = 12, then the value of x is:

A) 4B) 9C) 15D) 36

EquationsThe area of a regular polygon can be calculated using the mathematical expression: A = ½ anl, where A = areaa = apothemn = number of sidesl = 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) 3B) 2.5C) 5D) 10

Equations

How many counters must be in the cup to make the equation true?

A) 6B) 8C) 10D) 12

EquationsFrank 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 gramsB) Standard nail = 8.05 grams; Roofing nail = 10.06 gramsC) Standard nail = 8.05 grams; Roofing nail = 12 gramsD) Standard nail = 8.05 grams; Roofing nail = 5.63 grams

EquationsJaide 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 oldB) 6 years oldC) 9 years oldD) 27 years old

EquationsIf b + 11 = 14, the value of b is

A) 1B) 2C) 3D) 4

EquationsDavid 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 = 7B) x – 12 = 7C) 12 – x = 7D) x + 12 = 7

Math 7 Final

CHAPTER 7 REVIEW

Data AnalysisAt 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 AnalysisStacy 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) 8B) 2C) 6D) 12

Data AnalysisIf 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 kgB) 20.14 kgC) 22.14 kgD) 232.54 kg

Data AnalysisA 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) $217.43B) $4892.10C) $21.74D) $326.14

Data AnalysisWhat 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 AnalysisJune 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) 0.46B) 0.03C) 0.54D) 0.01

Data AnalysisA 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.

What is the mean of the movie length in minutes?

Length of Movies (Minutes)

75, 104, 142, 122, 93, 150, 125, 128, 135, 98,70, 103, 118, 105, 122, 122, 118, 84, 133

Data AnalysisThe mean of the set of numbers: {4, 7, 10, 11} is:

A) 7B) 9C) 8D) 32

Data Analysis

Given the following number set: {9, 2, 7, 12, 14, 8}, what is the range?

A) 9 to 8B) 12C) 2 to 14D) 6

Data AnalysisThe 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 = 2B) Mean = 9; median = 6C) Mean = 15; median = 10D) 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)

GeometryIf 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.

GeometryWhich 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)

GeometryIf point (-5,2) undergoes a translation (R4, U1)

its new coordinates are:

A) (-1,3)B) (-9,3)C) (1,3)D) (-4,3)

GeometryThe 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)