Podcast
Questions and Answers
What is the absolute value of -7?
What is the absolute value of -7?
7
What is the value of (|6| - |4|)?
What is the value of (|6| - |4|)?
2
Which statement is true about the temperature 21°C?
Which statement is true about the temperature 21°C?
- 21°C away from the freezing point. (correct)
- -21°C away from the freezing point.
- The absolute value is -21°C.
What is the opposite of the opposite of -1?
What is the opposite of the opposite of -1?
Arrange integers from least to greatest.
-9 12 -10 -14
Arrange integers from least to greatest. -9 12 -10 -14
The absolute value of any integer is always positive.
The absolute value of any integer is always positive.
Zero is considered an integer.
Zero is considered an integer.
The absolute value of a number is always positive.
The absolute value of a number is always positive.
The absolute value of 0 is 0.
The absolute value of 0 is 0.
The absolute value of a number represents its distance from zero on the number line.
The absolute value of a number represents its distance from zero on the number line.
The temperature dropped from 5 degrees to -3 degrees. What is the change in temperature?
The temperature dropped from 5 degrees to -3 degrees. What is the change in temperature?
A diver is 15 feet below sea level. If he ascends 10 feet, what is his new position relative to sea level?
A diver is 15 feet below sea level. If he ascends 10 feet, what is his new position relative to sea level?
A bank account has a balance of -$50. If $30 is deposited into the account, what is the new balance?
A bank account has a balance of -$50. If $30 is deposited into the account, what is the new balance?
A mountain climber is at an elevation of -200 meters. If he climbs 150 meters, what is his new elevation?
A mountain climber is at an elevation of -200 meters. If he climbs 150 meters, what is his new elevation?
A football team lost 7 yards on one play and gained 10 yards on the next play. What is the net change in yards for the team?
A football team lost 7 yards on one play and gained 10 yards on the next play. What is the net change in yards for the team?
What is the product of 3½ and 4%?
What is the product of 3½ and 4%?
Which of the following fractions is equivalent to 6/8?
Which of the following fractions is equivalent to 6/8?
What is the least common multiple (LCM) of 6 and 8?
What is the least common multiple (LCM) of 6 and 8?
What are the four categories of numbers?
What are the four categories of numbers?
Two bells ring at intervals of 12 and 18 minutes, respectively. If they ring together at 10:00 AM, at what time will they ring together again?
Two bells ring at intervals of 12 and 18 minutes, respectively. If they ring together at 10:00 AM, at what time will they ring together again?
The elevation of New Orleans is on average 8 feet below sea level. Which correctly describes the opposite of New Orleans Elevation?
The elevation of New Orleans is on average 8 feet below sea level. Which correctly describes the opposite of New Orleans Elevation?
Which of the following is the simplest form of 12/16?
Which of the following is the simplest form of 12/16?
To which set or sets of numbers does 4 belong?
To which set or sets of numbers does 4 belong?
Every integer is a rational number.
Every integer is a rational number.
The decimal representation of a rational number is always terminating.
The decimal representation of a rational number is always terminating.
A rational number can be expressed as the ratio of two integers.
A rational number can be expressed as the ratio of two integers.
The sum of two rational numbers is always irrational.
The sum of two rational numbers is always irrational.
Flashcards
Rational Number
Rational Number
A number that can be written as a fraction, where the numerator and denominator are integers and the denominator is not zero.
Absolute Value
Absolute Value
The distance of a number from zero on the number line.
Negative Integers
Negative Integers
Numbers that are less than zero.
Positive Integers
Positive Integers
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Opposite of a Number
Opposite of a Number
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Least Common Multiple (LCM)
Least Common Multiple (LCM)
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Improper Fraction
Improper Fraction
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Equivalent Fractions
Equivalent Fractions
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Unit Rate
Unit Rate
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Ratio
Ratio
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Circle Graph or Pie Chart
Circle Graph or Pie Chart
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Perimeter
Perimeter
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Percent
Percent
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Repeating Decimal
Repeating Decimal
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Terminating Decimal
Terminating Decimal
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Converting Fractions to Decimals
Converting Fractions to Decimals
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Unit Conversion
Unit Conversion
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Integer
Integer
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Freezing Point
Freezing Point
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Boiling Point
Boiling Point
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Volume
Volume
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Range
Range
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Mean
Mean
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Median
Median
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Mode
Mode
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Discrete Data
Discrete Data
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Continuous Data
Continuous Data
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Proportion
Proportion
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Bar Graph
Bar Graph
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Line Graph
Line Graph
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Study Notes
Grade 6 Mathematics Midterm Study Guide
-
Topic: Operations with Integers
- Comparing integers: -5 is less than -3
- Absolute value: |-7| = 7
- Smallest integer: Out of 2, 0, and -5, -5 is the smallest
- Evaluating expressions: |6| - |4| = 2
- Temperature change: A drop from 5°C to -3°C results in a change of 8°C
- Position relative to sea level: A diver 15 feet below sea level ascending 10 feet will be 5 feet below sea level.
- Bank account balance: A balance of -$50 with a $30 deposit will result in a new balance of -$20
- Mountain climber's elevation: A climber at -200 meters ascending 150 meters will be at -50 meters
- Net change in yards: Losing 7 yards and gaining 10 yards results in a net gain of 3 yards
-
Topic: Rational Numbers and Classifications
- Absolute value of zero: |0| = 0
- Integers from least to greatest: -14, -10, -9, 12
- Absolute value of an integer: always positive
- Zero is an integer
- Absolute value of a number: always positive
- Absolute value of 0: 0
- Absolute value meaning: the distance from zero
- Product of 3 and 4%: (3)(4/100) = 12/100 or 0.12
- Equivalent fraction: 6/8 is equivalent to 3/4
- Least common multiple (LCM) of 6 and 8: 24
- Categories of numbers: Natural numbers, whole numbers, integers, rational numbers
- Time when bells ring again: 10:12 AM
- Simplifying fractions: 12/16 simplifies to 3/4
- Opposite of the opposite of -1: 1
-
Topic: Operations with Fractions
- Equivalent fractions: 10/15 is equivalent to 2/3
- Adding and Subtracting Fractions: Need a common denominator
- Adding/Subtracting: Improper fractions, equivalent fractions
- Multiplying Fractions: Directly multiply numerators and denominators
- Dividing fractions: Invert the second fraction and multiply
- Sum of two fractions: May or may not result in a fraction greater than one (more than 1)
- Rational numbers: fractions and ratios
- Addition of fractions: requires a common denominator
- Products of fractions: always less than either original fraction
-
Topic: Decimals
- Ordering decimals from least to greatest: 0.34, 0.64, 0.94, 1.56
- Decimal division: 6.0 ÷ 0.5 = 12
- Result of subtraction: 10.1 - 4.5 = 5.6
- Addition of decimals: 15.75 + 3 = 18.75
- Multiplying decimals: 4.2 x 3.5 = 14.7
- Adding decimals: 3.5 + 4.75 = 8.25
- Comparing decimals: 6.4 > 0.64
- Largest decimal: Examples are needed
-
Topic: Unit Rates
- Changing units: 2 liters to milliliters = 2000 milliliters
- Speed Calculations: Given distance and time, find average speed
- Unit rates: expressed as ratio with denominator equal to 1
- Recipe amounts: Adjusting recipes proportionally
- Calculations using quantities: converting units, calculating mixtures, converting measurements, or quantities
- Determining ratio of dogs to all pets: 2/11
- A ratio or rate relates two quantities with different units
-
Topic: Ratios with Circle Graphs
- Ratio of 12 to 16: 3/4
- Percent of students who prefer basketball: 25% (or 1/4)
- Finding sugar needed for specific flour: 10/4 = 2.5 (or 2 1/2 cups) from 2:5 ratio of flour to sugar
- Degrees for 25% of a circle graph: 90°
- Representing 100% in a circle graph: 360°
- Ratio and fractions for circle graphs
-
Topic: Measurement and Conversion
- Converting cm to m, inches to yard, liters to milliliters or liters to cups
- Conversion equations for weight (pounds, ounces, grams/kilograms)
- Metric/Standard units. (example: pounds/ounces, liters/milliliters to gallons, miles/kilometers).
- Converting measurements
-
Topic: True or False Questions
- Statements about integers, rational numbers, decimals, and ratios are tested
- Common denominator for adding fractions
- Ratio is the comparison of two quantities
- Circle graphs show parts of a whole
-
Topic: Content Questions
- Word problems are presented and expected to be solved.
- Diverse concepts including integers, fractions, decimals, and ratios are assessed through word problems.
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Description
This quiz covers essential concepts of operations with integers and rational numbers for Grade 6 mathematics. Topics include comparing integers, evaluating expressions, and understanding absolute value. Prepare for your midterm by reviewing these key mathematical principles.
