Podcast
Questions and Answers
Which of the following statements is true about integers?
Which of the following statements is true about integers?
What is the opposite of -95?
What is the opposite of -95?
When subtracting a negative integer, what is the correct method to use?
When subtracting a negative integer, what is the correct method to use?
Which of the following pairs of integers would yield a positive product when multiplied?
Which of the following pairs of integers would yield a positive product when multiplied?
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What is the lowest common multiple (LCM) of 4 and 6?
What is the lowest common multiple (LCM) of 4 and 6?
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If the sum of -3 and -5 equals -8, what is true about adding two negative integers?
If the sum of -3 and -5 equals -8, what is true about adding two negative integers?
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When two integers have the same sign and are added together, what is the sign of the result?
When two integers have the same sign and are added together, what is the sign of the result?
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What is the absolute value of -17?
What is the absolute value of -17?
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Which of the following numbers is NOT a prime number?
Which of the following numbers is NOT a prime number?
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What is the numerator in the fraction that represents 18 girls out of 30 students?
What is the numerator in the fraction that represents 18 girls out of 30 students?
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Which step is necessary to simplify the fraction 18/30?
Which step is necessary to simplify the fraction 18/30?
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When adding fractions with different denominators, which of the following must be done first?
When adding fractions with different denominators, which of the following must be done first?
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What are the first nine prime numbers?
What are the first nine prime numbers?
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Which action is performed when multiplying fractions?
Which action is performed when multiplying fractions?
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What should you do if the denominators of the fractions you are adding are different?
What should you do if the denominators of the fractions you are adding are different?
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What do you call the numbers that exactly divide another number?
What do you call the numbers that exactly divide another number?
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What fraction of students are girls if 70% of the students are boys?
What fraction of students are girls if 70% of the students are boys?
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How do you express 3/7 as a decimal rounded to two decimal places?
How do you express 3/7 as a decimal rounded to two decimal places?
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If the ratio of fish to hamsters is 25:95, what is the simplified ratio?
If the ratio of fish to hamsters is 25:95, what is the simplified ratio?
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What is the decimal representation of 0.23 as a percentage?
What is the decimal representation of 0.23 as a percentage?
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How many candies does Mary have if John and Mary divide 500 candies in the ratio 3:2?
How many candies does Mary have if John and Mary divide 500 candies in the ratio 3:2?
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What percentage change do you get when dividing by 100 and multiplying by a specified percentage?
What percentage change do you get when dividing by 100 and multiplying by a specified percentage?
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What is the total parts of the ratio 12:4:8 when simplified to the highest common factor?
What is the total parts of the ratio 12:4:8 when simplified to the highest common factor?
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If 42% of students are boys, what fraction of them are girls?
If 42% of students are boys, what fraction of them are girls?
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How many minutes are there in an hour and a half?
How many minutes are there in an hour and a half?
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If a flight operates once every hour, how many passengers can travel in 3 hours with a capacity of 200 passengers per flight?
If a flight operates once every hour, how many passengers can travel in 3 hours with a capacity of 200 passengers per flight?
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During bad weather, if a flight takes 50% longer than the usual time of 1.5 hours, what will be the total duration of the flight?
During bad weather, if a flight takes 50% longer than the usual time of 1.5 hours, what will be the total duration of the flight?
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What total revenue does the airline receive for a full flight, considering an average ticket price of $24 and full capacity of 200 passengers?
What total revenue does the airline receive for a full flight, considering an average ticket price of $24 and full capacity of 200 passengers?
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If flight #1 is at 90% capacity, flight #2 at 75%, and flight #3 at 60%, what total revenue does the airline receive from these flights?
If flight #1 is at 90% capacity, flight #2 at 75%, and flight #3 at 60%, what total revenue does the airline receive from these flights?
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What is the percentage change in average passenger capacity from weekdays (143) to weekends (188)?
What is the percentage change in average passenger capacity from weekdays (143) to weekends (188)?
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If a flight operates at 80% capacity, how many passengers will be on the flight if the capacity is 200?
If a flight operates at 80% capacity, how many passengers will be on the flight if the capacity is 200?
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If the average capacity on weekdays is 143 and on weekends is 188, how many more passengers can the airline accommodate on weekends?
If the average capacity on weekdays is 143 and on weekends is 188, how many more passengers can the airline accommodate on weekends?
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What is the percentage change when the price of a toy decreases from $220 to $80?
What is the percentage change when the price of a toy decreases from $220 to $80?
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If the price of a game increased from $120 to $150, what is the percentage change?
If the price of a game increased from $120 to $150, what is the percentage change?
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To convert from centimeters to meters, you need to move the decimal point to:
To convert from centimeters to meters, you need to move the decimal point to:
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What does the symbol $\sqrt{}$ represent?
What does the symbol $\sqrt{}$ represent?
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What is the value of $\sqrt{36}$?
What is the value of $\sqrt{36}$?
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To find the cube root, the symbol $\sqrt[3]{}$ indicates that you are looking for a number that multiplied by itself how many times?
To find the cube root, the symbol $\sqrt[3]{}$ indicates that you are looking for a number that multiplied by itself how many times?
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When converting 0.3 kg to grams, what is the correct conversion?
When converting 0.3 kg to grams, what is the correct conversion?
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What is the result of the calculation $6^3 + 7^3 + 8^3 + 9^3 + 10^3$?
What is the result of the calculation $6^3 + 7^3 + 8^3 + 9^3 + 10^3$?
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What is the first step when dividing fractions?
What is the first step when dividing fractions?
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What is the simplified form of $\frac{6}{9} \times \frac{8}{4}$?
What is the simplified form of $\frac{6}{9} \times \frac{8}{4}$?
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What is the correct method to convert 0.4 to a percentage?
What is the correct method to convert 0.4 to a percentage?
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What percentage of a shop's 65 markers are not red if 5 are red?
What percentage of a shop's 65 markers are not red if 5 are red?
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Which calculation gives you the simplest form of $\frac{2}{3} \div \frac{1}{5}$?
Which calculation gives you the simplest form of $\frac{2}{3} \div \frac{1}{5}$?
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What is 0.80 expressed as a fraction in simplest form?
What is 0.80 expressed as a fraction in simplest form?
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How would you convert 35% into decimal form?
How would you convert 35% into decimal form?
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What is the percentage of chocolate flavored donuts if out of 45 donuts, 10 are chocolate?
What is the percentage of chocolate flavored donuts if out of 45 donuts, 10 are chocolate?
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Study Notes
End-Term Math Review
- Topics covered include integers, factors, multiples, prime numbers, fractions, decimals, percentages, ratios, percentage change, units of conversions, powers, and roots.
Integers
- Integers are whole numbers including positive numbers, negative numbers, and zero.
- Numbers below zero are called negatives.
- Numbers above zero are called positives.
- Examples of integers: -35, 17, -95
Integer Rules: + and -
- If signs are the same, the answer has the same sign.
- If signs are different, the answer takes the sign of the larger number.
- To subtract, change subtraction to addition and change the second number to its opposite.
Integer Rules: x and ÷
- If signs are the same, the answer is positive
- If signs are different, the answer is negative.
Integer Rules - Examples
- -56 - (-9) = -47
- -8 - (-36) = 28
- -3 + (-5)= -8
- 29 + (-7) = 22
- -9 x (-8) = 72
Multiples, Factors, and Prime Numbers
- Multiples are the products of a number and any whole number
- Factors are numbers that divide exactly into another number
- Prime numbers have only two factors: 1 and themselves.
Lowest Common Multiples (LCM)
- LCM is the smallest multiple shared by two or more numbers.
- Find the multiples of each number.
- Identify the smallest multiple shared by all numbers
Highest Common Factors (HCF)
- HCF is the largest factor shared by two or more numbers.
- Find the factors of each number.
- Identify the largest factor shared by all numbers
Prime Numbers
- Prime numbers are greater than 1 and have only two factors: 1 and themselves.
- List examples: 2, 3, 5, 7, 11, 13, 17, 19, 23
- Prime factors are prime numbers that divide another number.
Fractions
- Fractions represent a part of a whole.
- The number on top is the numerator, and the number on the bottom is the denominator.
Fraction Rules: + and -
- To add or subtract fractions, find a common denominator first.
- Add or subtract the numerators and keep the denominator the same.
Fraction Rules: x and ÷
- To multiply fractions, multiply the numerators together and the denominators together.
- To divide fractions, reciprocal the second fraction and change the divide to multiply.
Fraction Examples
- 8/6 + 7/5 = 61/15
- 2/6 + 3/4= 13/12
- 6/9 x 7/8= 42/72= 7/12
- 2/3 ÷ 3/4= 8/9
Converting Fractions, Decimals, and Percentages
- To convert a fraction to a decimal, divide the numerator by the denominator.
- To convert a decimal to a percentage, multiply by 100.
- To convert a percentage to a decimal, divide by 100.
Units and Conversions
- Metric units are multiples of 10.
- To convert, move the decimal point to the left or right based on the unit conversion.
Powers and Roots
- Powers represent repeated multiplication. The small number is the exponent.
- Roots represent the inverse of powers.
Powers and Roots - Examples
- 92 = 81
- 53 = 125
- 24 = 16
- √64 = 8
- ∛64 = 4
Extra Questions
- These are additional problems designed to further test understanding
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Description
This quiz covers essential math concepts including integers, factors, multiples, prime numbers, and operations involving decimals and percentages. Prepare for your end-term exams by testing your knowledge on these foundational topics. Make sure you're comfortable with integer rules, conversion units, and the basics of powers and roots.
