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Questions and Answers
A prime number has only 2 factors - ____ and itself.
A prime number has only 2 factors - ____ and itself.
1
The first 9 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ____.
The first 9 prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ____.
23
Prime factors are prime numbers that ______ a number.
Prime factors are prime numbers that ______ a number.
divide
Use a _______ factor tree to find the prime factors of a number.
Use a _______ factor tree to find the prime factors of a number.
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Fractions are numbers that represent a part of the ______.
Fractions are numbers that represent a part of the ______.
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The number on the top is the _________.
The number on the top is the _________.
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To simplify the fraction, ______ the numerator and denominator by the HCF.
To simplify the fraction, ______ the numerator and denominator by the HCF.
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Numbers below zero (left of 0) are called ___________.
Numbers below zero (left of 0) are called ___________.
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Numbers above zero (right of 0) are called ___________.
Numbers above zero (right of 0) are called ___________.
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If the signs are the same, the answer has the _____ sign.
If the signs are the same, the answer has the _____ sign.
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If the signs are different, the answer will take the sign of the _____ number.
If the signs are different, the answer will take the sign of the _____ number.
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When subtracting integers, change the subtraction to an ________.
When subtracting integers, change the subtraction to an ________.
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The LCM (lowest common multiple) is the ________ shared multiple.
The LCM (lowest common multiple) is the ________ shared multiple.
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If the signs are the same answer will be ________.
If the signs are the same answer will be ________.
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If the signs are different the answer will be ________.
If the signs are different the answer will be ________.
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To find the percentage change, use the formula: (new - original) x 100 / ______
To find the percentage change, use the formula: (new - original) x 100 / ______
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To divide, first __________ the second fraction and multiply.
To divide, first __________ the second fraction and multiply.
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The percentage change from $220 to $80 is calculated as (80 - 220) x 100 / ______
The percentage change from $220 to $80 is calculated as (80 - 220) x 100 / ______
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Now you can change the divide to ________ multiply the fractions together!
Now you can change the divide to ________ multiply the fractions together!
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To convert metric units, move the decimal point and ______ the units.
To convert metric units, move the decimal point and ______ the units.
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To convert a fraction to decimal, _______ the numerator by denominator.
To convert a fraction to decimal, _______ the numerator by denominator.
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To go UP a unit, move the decimal to the ______.
To go UP a unit, move the decimal to the ______.
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A flight takes an hour and a half, which is equal to ______ minutes.
A flight takes an hour and a half, which is equal to ______ minutes.
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To convert a decimal to a percentage, _______ by 100.
To convert a decimal to a percentage, _______ by 100.
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In powers, the small number at the top right indicates how many times to ______ a number by itself.
In powers, the small number at the top right indicates how many times to ______ a number by itself.
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If there are flights every hour, in 3 hours, ______ passengers can travel.
If there are flights every hour, in 3 hours, ______ passengers can travel.
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At 80% capacity, there will be ______ passengers on the flight.
At 80% capacity, there will be ______ passengers on the flight.
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To convert a percentage to a decimal, _______.
To convert a percentage to a decimal, _______.
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The symbol √ means ______.
The symbol √ means ______.
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To calculate an imperfect root, you will need to ______.
To calculate an imperfect root, you will need to ______.
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A shop sells 65 markers. Five of them are red. What percentage are not red? The number of not red markers is __________.
A shop sells 65 markers. Five of them are red. What percentage are not red? The number of not red markers is __________.
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A flight takes 50% longer than usual, and the new duration becomes ______ hours.
A flight takes 50% longer than usual, and the new duration becomes ______ hours.
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A shop sells 45 donuts. Ten of them are chocolate flavored. What percentage are not chocolate flavored? The number of non-chocolate donuts is __________.
A shop sells 45 donuts. Ten of them are chocolate flavored. What percentage are not chocolate flavored? The number of non-chocolate donuts is __________.
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If a ticket costs $24, for a full flight, the airline receives ______ dollars.
If a ticket costs $24, for a full flight, the airline receives ______ dollars.
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The cube root is represented by the symbol ∛ and indicates a number multiplied by itself ______ times.
The cube root is represented by the symbol ∛ and indicates a number multiplied by itself ______ times.
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What is 0.80 as a fraction in its simplest form? 0.80 = __________ = 4/5.
What is 0.80 as a fraction in its simplest form? 0.80 = __________ = 4/5.
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Flight #1 at 90% capacity generates ______ dollars.
Flight #1 at 90% capacity generates ______ dollars.
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The average plane capacity on weekdays is 143, while on weekends it is ______.
The average plane capacity on weekdays is 143, while on weekends it is ______.
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The percentage change in capacity from weekdays to weekends is ______%.
The percentage change in capacity from weekdays to weekends is ______%.
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If 70% of the students are boys, then what fraction of students are ______?
If 70% of the students are boys, then what fraction of students are ______?
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Convert 3/7 into a decimal. 3 ÷ 7 = ______
Convert 3/7 into a decimal. 3 ÷ 7 = ______
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What is 0.65 as a ______? 0.65 x 100 = 65%
What is 0.65 as a ______? 0.65 x 100 = 65%
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The ratio of red to yellow to blue simplifies using 12 : 4 : 8 to ______ : 1 : 2.
The ratio of red to yellow to blue simplifies using 12 : 4 : 8 to ______ : 1 : 2.
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The simplified ratio of fish to hamsters in a pet shop is ______.
The simplified ratio of fish to hamsters in a pet shop is ______.
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The ratio of Paul to Sam’s age can be expressed as ______.
The ratio of Paul to Sam’s age can be expressed as ______.
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To find a percentage, divide by 100 to get 1%, then ______ by the percentage you want to find.
To find a percentage, divide by 100 to get 1%, then ______ by the percentage you want to find.
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John and Mary divide 500 candies into the ratio 3:2. Mary has ______ candies.
John and Mary divide 500 candies into the ratio 3:2. Mary has ______ candies.
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Study Notes
End-Term Math Review
- Topics covered include integers, factors, multiples, prime numbers, fractions, decimals, percentages, ratios, percentage change, unit conversions, powers, and roots.
Integers
- Integers are whole numbers, including positive numbers, negative numbers, and zero.
- Numbers to the left of zero are called negatives.
- Numbers to the right of zero are called positives.
- Examples of integers: -35, 17, -95
Integers: Operations
- If signs are the same, the answer has the same sign. (e.g., + + = +, - - = -)
- If signs are different, the answer takes the sign of the larger number. (e.g., + - = +, - + = -)
- When subtracting, change the subtraction to addition and the second number to its opposite, then follow addition rules.
- Multiplication/Division: Like signs result in a positive answer; unlike signs result in a negative answer.
Multiples, Factors, and Prime Numbers
- Multiples: The result of multiplying a whole number by any other whole number.
- Factors: Whole numbers that divide exactly into another whole number.
- Prime Numbers: Whole numbers greater than 1 that only have two factors: 1 and itself (e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23).
- Lowest Common Multiple (LCM): The smallest multiple shared by two or more numbers.
- Highest Common Factor (HCF): The largest factor shared by two or more numbers.
Fractions
- Numerator: The top number in a fraction.
- Denominator: The bottom number in a fraction.
- To simplify a fraction, divide the numerator and denominator by their highest common factor (HCF).
- Rules for adding and subtracting fractions involve finding a common denominator.
- Rules for multiplying and dividing fractions:
- Multiply numerators together and denominators together.
- To divide, reciprocal the second fraction, change the divide sign to multiply, and then multiply as above.
Percentage Change
- Formula for calculating percentage change: (new - original) / original * 100
Conversions
- Metric units are all multiples of 10.
- Converting metric units involves moving the decimal and changing units.
- Moving up a unit, move the decimal to the left.
- Converting downwards a unit, move the decimal to the right
Powers and Roots
- Powers (or Exponents) represent repeated multiplication.
- Roots are the opposite of powers, finding the number that, when multiplied by itself, equals the number
Additional Examples and Problems
- Provided various examples and problems demonstrating calculations with integers, fractions, percentages, and conversions across different unit systems are present in the slides.
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Description
This quiz covers a comprehensive review of math topics including integers, factors, multiples, prime numbers, fractions, decimals, percentages, and more. It aims to strengthen your understanding and application of fundamental mathematical concepts. Prepare for your end-term exam with this focused review!
