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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?
What is the opposite of the opposite of -1?
What is the opposite of the opposite of -1?
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Arrange integers from least to greatest.
-9 12 -10 -14
Arrange integers from least to greatest. -9 12 -10 -14
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The absolute value of any integer is always positive.
The absolute value of any integer is always positive.
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Zero is considered an integer.
Zero is considered an integer.
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The absolute value of a number is always positive.
The absolute value of a number is always positive.
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The absolute value of 0 is 0.
The absolute value of 0 is 0.
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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.
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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?
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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?
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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?
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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?
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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?
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What is the product of 3½ and 4%?
What is the product of 3½ and 4%?
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Which of the following fractions is equivalent to 6/8?
Which of the following fractions is equivalent to 6/8?
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What is the least common multiple (LCM) of 6 and 8?
What is the least common multiple (LCM) of 6 and 8?
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What are the four categories of numbers?
What are the four categories of numbers?
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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?
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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?
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Which of the following is the simplest form of 12/16?
Which of the following is the simplest form of 12/16?
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To which set or sets of numbers does 4 belong?
To which set or sets of numbers does 4 belong?
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Every integer is a rational number.
Every integer is a rational number.
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The decimal representation of a rational number is always terminating.
The decimal representation of a rational number is always terminating.
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A rational number can be expressed as the ratio of two integers.
A rational number can be expressed as the ratio of two integers.
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The sum of two rational numbers is always irrational.
The sum of two rational numbers is always irrational.
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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.
