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Maths QA -Basics 1:

Updated: Apr 13, 2023



LCM -HCF

  1. Find the LCM of 18, 24, and 36.

  2. Find the HCF of 24, 36, and 48.

  3. What is the LCM of the first 10 positive integers?

  4. What is the HCF of 20, 30, and 40?

  5. Find the LCM of 2/3, 4/5, and 6/7.

  6. Find the HCF of 27, 36, and 45.

  7. If the LCM of two numbers is 120 and one of the numbers is 24, what is the other number?

  8. If the HCF of two numbers is 8 and their LCM is 128, what are the two numbers?

  9. Find the LCM of 1/2, 1/3, and 1/4.

  10. Find the HCF of 84, 105, and 126.

  11. If the LCM of two numbers is 360 and one of the numbers is 72, what is the other number?

  12. If the HCF of two numbers is 4 and their LCM is 140, what are the two numbers?

  13. Find the LCM of 5/8, 2/3, and 3/4.

  14. Find the HCF of 54, 72, and 90.

  15. If the LCM of two numbers is 105 and one of the numbers is 21, what is the other number?

  16. If the HCF of two numbers is 3 and their LCM is 72, what are the two numbers?

  17. Find the LCM of 3/4, 2/3, and 1/2.

  18. Find the HCF of 126, 198, and 252.

  19. If the LCM of two numbers is 720 and one of the numbers is 144, what is the other number?

  20. If the HCF of two numbers is 7 and their LCM is 84, what are the two numbers?

  21. Find the LCM of 1/3, 3/4, and 2/5.

  22. Find the HCF of 90, 120, and 150.

  23. If the LCM of two numbers is 240 and one of the numbers is 48, what is the other number?

  24. If the HCF of two numbers is 5 and their LCM is 75, what are the two numbers?

  25. Find the LCM of 1/6, 1/8, and 1/9.

  26. Find the HCF of 105, 140, and 175.

  27. If the LCM of two numbers is 180 and one of the numbers is 45, what is the other number?

  28. If the HCF of two numbers is 6 and their LCM is 84, what are the two numbers?

  29. Find the LCM of 2/3, 3/4, and 4/5.

  30. Find the HCF of 108, 144, and 180.

  31. If the LCM of two numbers is 420 and one of the numbers is 84, what is the other number?

  32. If the HCF of two numbers is 9 and their LCM is 135, what are the two numbers?

  33. Find the LCM of 3/5, 2/7, and 4/9.

  34. Find the HCF of 140, 175, and 210.

  35. 35. If the LCM of two numbers is 480 and one of the numbers is 96, what is the other number?

  36. If the HCF of two numbers is 12 and their LCM is 144, what are the two numbers?

  37. Find the LCM of 1/2, 2/3, and 3/4.

  38. Find the HCF of 72, 96, and 120.

  39. If the LCM of two numbers is 540 and one of the numbers is 135, what is the other number?

  40. If the HCF of two numbers is 8 and their LCM is 96, what are the two numbers?

  41. Find the LCM of 2/5, 3/7, and 4/9.

  42. Find the HCF of 150, 200, and 250.

  43. If the LCM of two numbers is 600 and one of the numbers is 120, what is the other number?

  44. If the HCF of two numbers is 15 and their LCM is 225, what are the two numbers?

  45. Find the LCM of 2/3, 3/5, and 4/7.

  46. Find the HCF of 144, 192, and 240.

  47. If the LCM of two numbers is 840 and one of the numbers is 210, what is the other number?

  48. If the HCF of two numbers is 10 and their LCM is 200, what are the two numbers?

  49. Find the LCM of 1/4, 1/5, and 1/6.

  50. Find the HCF of 198, 264, and 330.





PERCENTAGES


  1. If a shirt that originally cost $40 is on sale for 25% off, what is the new sale price?

  2. If a pizza with a diameter of 12 inches has 50% more toppings than a pizza with a diameter of 8 inches, how much more topping is on the larger pizza?

  3. If a car rental company charges $25 per day plus 15 cents per mile, how much would it cost to rent a car for 3 days and drive it 250 miles?

  4. If a company made $150,000 in revenue and its expenses were 75% of its revenue, what is its profit?

  5. If a store sells a sweater for $50 that originally cost $80, what is the percentage discount?

  6. If a basketball team wins 60% of its games and loses 20% of its games, what percentage of games does it tie?

  7. If a TV is marked up 40% from its cost to the store, and the store sells it at a 20% discount, what is the store's profit percentage?

  8. If a recipe calls for 1/4 teaspoon of salt per serving and makes 8 servings, how many teaspoons of salt are needed for the whole recipe?

  9. If a gym has 500 members and 30% of them are women, how many male members does it have?

  10. If a student scored 80% on a test, what percentage of the test did the student get correct?

  11. If a worker earns $20 per hour and receives a 5% raise, what is the new hourly wage?

  12. If a store sells a shirt for $15 that originally cost $10, what is the percentage markup?

  13. If a college has 10,000 students and 20% of them are international students, how many international students does it have?

  14. If a homeowner sells their house for $300,000 and pays a 6% commission to the real estate agent, how much commission does the agent earn?

  15. If a factory produced 500 units and 10% of them were defective, how many units were not defective?

  16. If a company has 100 employees and 25% of them have a master's degree, how many employees have a master's degree?

  17. If a store has a profit margin of 20% and sells an item for $50, what is the cost of the item to the store?

  18. If a recipe calls for 1/2 cup of sugar per serving and makes 6 servings, how many cups of sugar are needed for the whole recipe?

  19. If a town has a population of 10,000 and 5% of the population is over the age of 65, how many people in the town are over the age of 65?

  20. If a restaurant's total revenue for the year is $500,000 and its cost of goods sold is 30% of the revenue, what is the restaurant's gross profit?

  21. If a student missed 10 out of 50 questions on a test, what percentage of the test did the student get correct?

  22. If a worker earns $15 per hour and works 40 hours per week, what is their weekly gross pay?

  23. If a store has a sale where everything is 25% off, what is the sale price of an item that originally cost $80?

  24. If a basketball team has won 30 games and lost 10 games, what is their winning percentage?

  25. If a recipe calls for 1/3 cup of butter per serving and makes 4 servings, how many cups of butter are needed forthe whole recipe?

  26. If a company's revenue increased from $100,000 to $125,000, what is the percentage increase?

  27. If a store sells a shirt for $20 that originally cost $25, what is the percentage discount?

  28. If a student got 45 out of 60 questions correct on a test, what percentage of the test did the student get correct?

  29. If a worker earns $12 per hour and receives a 10% raise, what is the new hourly wage?

  30. If a recipe calls for 2/3 cup of flour per serving and makes 10 servings, how many cups of flour are needed for the whole recipe?

  31. If a store has a 15% discount on all items and an additional 10% discount on clearance items, what is the sale price of an item that originally cost $100 and is on clearance?

  32. If a college has 5,000 students and 40% of them are male, how many female students does it have?

  33. If a homeowner sells their house for $400,000 and pays a 7% commission to the real estate agent, how much commission does the agent earn?

  34. If a factory produced 1,000 units and 15% of them were defective, how many units were not defective?

  35. If a store has a profit margin of 25% and sells an item for $75, what is the cost of the item to the store?

  36. If a recipe calls for 1/4 cup of milk per serving and makes 12 servings, how many cups of milk are needed for the whole recipe?

  37. If a town has a population of 20,000 and 15% of the population is under the age of 18, how many people in the town are under the age of 18?

  38. If a restaurant's total revenue for the year is $1,000,000 and its cost of goods sold is 40% of the revenue, what is the restaurant's gross profit?

  39. If a student missed 20 out of 100 questions on a test, what percentage of the test did the student get correct?

  40. If a worker earns $18 per hour and works 50 hours per week, what is their weekly gross pay?

  41. If a store has a sale where everything is 20% off, what is the sale price of an item that originally cost $50?

  42. If a basketball team has won 20 games and lost 15 games, what is their winning percentage?

  43. If a recipe calls for 3/4 cup of sugar per serving and makes 8 servings, how many cups of sugar are needed for the whole recipe?

  44. If a company's revenue decreased from $200,000 to $160,000, what is the percentage decrease?

  45. If a store sells a shirt for $30 that originally cost $25, what is the percentage markup?

  46. If a student got 80 out of 100 questions correct on a test, what percentage of the test did the student get correct?

  47. If a worker earns $25 per hour and receives a 15% raise, what is the new hourly wage?

  48. If a recipe calls for 1/3 cup of oil per serving and makes 6 servings, how many cups of oil are needed for the whole recipe?

  49. If a store has a 10% discount on all items and an additional 20% discount on clearance items, what is the sale price of an item that originally cost $150 and is on clearance?

  50. If a college has 15,000 students and 35% of them are in-state students, how many out-of-state students ?





Ratio -Fraction +Decimals

  1. A group of 40 students consists of 3/8 boys and the rest girls. If there are 10 more girls than boys, how many girls are in the group?

  2. A recipe calls for 3/4 cup of sugar for every 2 1/2 cups of flour. How much sugar would you need for 8 cups of flour?

  3. A car travels 350 miles on 12 1/2 gallons of gasoline. What is the car's average mileage in miles per gallon, rounded to the nearest hundredth?

  4. A rectangular garden has an area of 72 square feet and a length that is 3/4 of the width. What are the dimensions of the garden?

  5. A construction worker needs to mix a solution with a ratio of 3:4 of water to cement. If he has 16 liters of water, how many liters of cement does he need to add to the solution to maintain the ratio?

  6. Convert 0.375 to a ratio in simplest form.

  7. A recipe calls for 1/4 cup of oil for every 1 1/4 cups of flour. How much oil would you need for 6 cups of flour?

  8. A group of 50 students consists of 2/5 boys and the rest girls. If there are 15 more girls than boys, how many girls are in the group?

  9. A rectangular garden has a perimeter of 32 feet and an area of 40 square feet. What are the dimensions of the garden?

  10. A construction worker needs to cut a 20-foot board into pieces that are 2 1/2 feet long. How many pieces can he get?

  11. A recipe calls for 3/4 cup of sugar for every 1 1/2 cups of flour. How much sugar would you need for 10 cups of flour?

  12. A group of 60 students consists of 2/3 boys and the rest girls. If there are 20 more girls than boys, how many girls are in the group?

  13. A rectangular garden has an area of 128 square feet and a width that is 3/4 of the length. What are the dimensions of the garden?

  14. A construction worker needs to mix a solution with a ratio of 2:3 of water to cement. If he has 18 liters of cement, how many liters of water does he need to add to the solution to maintain the ratio?

  15. Convert 5/8 to a decimal and then to a ratio in simplest form.

  16. A car travels 225 miles on 7 1/2 gallons of gasoline. What is the car's average mileage in miles per gallon, rounded to the nearest hundredth?

  17. A recipe calls for 1/3 cup of oil for every 2 1/2 cups of flour. How much oil would you need for 8 cups of flour?

  18. A group of 70 students consists of 3/7 boys and the rest girls. If there are 15 more girls than boys, how many girls are in the group?

  19. A rectangular garden has a perimeter of 28 feet and an area of 32 square feet. What are the dimensions of the garden?

  20. A construction worker needs to cut a 18-foot board into pieces that are 2 3/4 feet long. How many pieces can he get?

  21. A recipe calls for 1 1/4 cups of sugar for every 3 cups of flour. How much sugar would you need for 7 cups of flour?

  22. A group

  23. of 80 students consists of 3/8 boys and the rest girls. If there are 20 more girls than boys, how many girls are in the group?

  24. . A rectangular garden has an area of 144 square feet and a width that is 5/6 of the length. What are the dimensions of the garden?

  25. A construction worker needs to mix a solution with a ratio of 1:3 of water to cement. If he has 10 liters of water, how many liters of cement does he need to add to the solution to maintain the ratio?

  26. Convert 0.8333 to a ratio in simplest form.

  27. A car travels 325 miles on 11 1/4 gallons of gasoline. What is the car's average mileage in miles per gallon, rounded to the nearest hundredth?

  28. A recipe calls for 2/3 cup of oil for every 2 cups of flour. How much oil would you need for 9 cups of flour?

  29. A group of 90 students consists of 5/9 boys and the rest girls. If there are 30 more girls than boys, how many girls are in the group?

  30. A rectangular garden has a perimeter of 36 feet and an area of 54 square feet. What are the dimensions of the garden?

  31. A construction worker needs to cut a 26-foot board into pieces that are 2 2/3 feet long. How many pieces can he get?

  32. A recipe calls for 3/4 cup of sugar for every 1 3/4 cups of flour. How much sugar would you need for 12 cups of flour?

  33. A group of 100 students consists of 3/10 boys and the rest girls. If there are 10 more girls than boys, how many girls are in the group?

  34. A rectangular garden has an area of 200 square feet and a length that is 4/5 of the width. What are the dimensions of the garden?

  35. A construction worker needs to mix a solution with a ratio of 2:5 of water to cement. If he has 15 liters of cement, how many liters of water does he need to add to the solution to maintain the ratio?

  36. Convert 2/3 to a decimal and then to a ratio in simplest form.

  37. A car travels 450 miles on 15 gallons of gasoline. What is the car's average mileage in miles per gallon, rounded to the nearest hundredth?

  38. A recipe calls for 1/3 cup of oil for every 2 cups of flour. How much oil would you need for 10 cups of flour?

  39. A group of 120 students consists of 2/5 boys and the rest girls. If there are 40 more girls than boys, how many girls are in the group?

  40. A rectangular garden has a perimeter of 24 feet and an area of 18 square feet. What are the dimensions of the garden?

  41. A construction worker needs to cut a 28-foot board into pieces that are 2 1/4 feet long. How many pieces can he get?

  42. A recipe calls for 1 1/2 cups of sugar for every 4 cups of flour. How much sugar would you need for 8 cups of flour?

  43. A group of 130 students consists of 3/7 boys and the rest girls. If there are 20 more girls than boys, how many girls are in the group?

  44. A rectangular garden has an area of 168 square feet and a length that is 2/3 of the width. What are the dimensions of the garden?

  45. A construction worker needs to mix a solution with a ratio of 1:2 of water to cement. If he has 16 liters of water, how many liters of cement does he need to add to the solution to maintain the ratio? Convert 0.6 to a ratio in simplest form.

  46. A car travels 600 miles on 20 1/2 gallons of gasoline. What is the car's average mileage in miles per gallon, rounded to the nearest hundredth?

  47. A recipe calls for 2/3 cup of oil for every 3 cups of flour. How much oil would you need for 11 cups of flour?

  48. A group of 140 students consists of 4/7 boys and the rest girls. If there are 30 more girls than boys, how many girls are in the group?

  49. A rectangular garden has a perimeter of 40 feet and an area of 80 square feet. What are the dimensions of the garden?

  50. A construction worker needs to cut a 32-foot board into pieces that are 2 3/4 feet long. How many pieces can he get?






 
 
 
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