Question
Write 95 junior high school mathematics quizzing competition questions and answers using step-by-step tips
Answers
GPT-4o mini
Sure! Below you will find 95 mathematics questions suitable for a junior high school quiz competition, accompanied by step-by-step tips for solving many of the questions. I've divided them into different math topics for easier navigation.
### Arithmetic
1. **Question**: What is 156 + 289?
- **Solution Tip**: Line up the numbers by place value:
```
156
+ 289
------
```
Add them column by column.
- **Answer**: 445
2. **Question**: Calculate 560 - 287.
- **Solution Tip**: Use borrowing if necessary.
- **Answer**: 273
3. **Question**: Multiply 23 by 15.
- **Solution Tip**: Break down the multiplication:
- 23 × 10 = 230
- 23 × 5 = 115
- Add 230 + 115 = 345
- **Answer**: 345
4. **Question**: Divide 144 by 12.
- **Solution Tip**: Use long division or multiplication to check.
- **Answer**: 12
5. **Question**: What is the remainder when 1000 is divided by 6?
- **Solution Tip**: Perform the division to find the remainder.
- **Answer**: 4
### Algebra
6. **Question**: Solve for x: 2x + 5 = 15.
- **Solution Tip**: Isolate x:
- 2x = 10
- x = 5
- **Answer**: 5
7. **Question**: What is the value of y if 3y - 7 = 2?
- **Solution Tip**: Add 7 to both sides:
- 3y = 9
- Divide by 3.
- **Answer**: 3
8. **Question**: Simplify the expression: 4(x + 2) - 3x.
- **Solution Tip**: Distribute 4:
- 4x + 8 - 3x
- Combine like terms:
- **Answer**: x + 8
9. **Question**: If 5x = 35, what is x?
- **Solution Tip**: Divide both sides by 5.
- **Answer**: 7
10. **Question**: Solve the equation: x² + 6x + 9 = 0.
- **Solution Tip**: Factor the quadratic:
- (x + 3)(x + 3) = 0
- Therefore, x = -3.
- **Answer**: -3
### Geometry
11. **Question**: What is the area of a rectangle with a length of 10 cm and width of 5 cm?
- **Solution Tip**: Area = length × width.
- **Answer**: 50 cm²
12. **Question**: Find the circumference of a circle with a radius of 7 cm (use π ≈ 3.14).
- **Solution Tip**: Circumference = 2πr.
- **Answer**: 43.96 cm
13. **Question**: What is the volume of a cube with edges of length 4 cm?
- **Solution Tip**: Volume = side³.
- **Answer**: 64 cm³
14. **Question**: Calculate the perimeter of a triangle with sides measuring 8 cm, 6 cm, and 10 cm.
- **Solution Tip**: Add all sides together.
- **Answer**: 24 cm
15. **Question**: What is the area of a triangle with a base of 10 cm and height of 5 cm?
- **Solution Tip**: Area = 1/2 × base × height.
- **Answer**: 25 cm²
### Ratios and Proportions
16. **Question**: What is the ratio of 12 to 16 in simplest form?
- **Solution Tip**: Divide both by the greatest common divisor (GCD).
- **Answer**: 3:4
17. **Question**: If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?
- **Solution Tip**: Directly write it as a ratio: flour: sugar.
- **Answer**: 2:3
18. **Question**: If a car travels 180 miles on 6 gallons of gas, what is the unit rate (miles per gallon)?
- **Solution Tip**: Divide total miles by total gallons.
- **Answer**: 30 miles per gallon
19. **Question**: If the ratio of boys to girls in a class is 4:5 and there are 20 boys, how many girls are there?
- **Solution Tip**: Set up a proportion to find girls.
- **Answer**: 25 girls
20. **Question**: If a map is drawn to a scale of 1:100, how many centimeters on the map represents 1 kilometer in real life?
- **Solution Tip**: Convert kilometers to centimeters (1 km = 100,000 cm).
- **Answer**: 100 cm
### Statistics and Probability
21. **Question**: What is the mean of the numbers 5, 10, 15?
- **Solution Tip**: Add the numbers and divide by the count.
- **Answer**: 10
22. **Question**: In a class of 30 students, 18 are girls. What is the probability of randomly selecting a girl?
- **Solution Tip**: P(girl) = number of girls / total students.
- **Answer**: 0.6 or 60%
23. **Question**: Find the median of the following set of numbers: 3, 7, 9, 5, 2.
- **Solution Tip**: Sort the numbers first, then find the middle value.
- **Answer**: 5
24. **Question**: What is the mode of the numbers: 4, 1, 2, 2, 5, 4, 4?
- **Solution Tip**: Identify the number that appears most frequently.
- **Answer**: 4
25. **Question**: If the average of five numbers is 20, what is the sum of those numbers?
- **Solution Tip**: Sum = average × number of items.
- **Answer**: 100
### Word Problems
26. **Question**: A pencil costs $0.50. How many pencils can you buy with $5.00?
- **Solution Tip**: Divide total money by the cost of one pencil.
- **Answer**: 10 pencils
27. **Question**: A car travels 60 miles per hour. How far does it go in 2.5 hours?
- **Solution Tip**: Distance = speed × time.
- **Answer**: 150 miles
28. **Question**: If Tom has 30 apples and gives away 12, how many apples does he have left?
- **Solution Tip**: Subtract the number given away from the total.
- **Answer**: 18 apples
29. **Question**: A book originally costs $30 but is on sale for 25% off. How much is the book on sale?
- **Solution Tip**: Calculate the discount and subtract from the original price.
- **Answer**: $22.50
30. **Question**: If a train travels 300 miles in 5 hours, what is its average speed?
- **Solution Tip**: Average speed = distance / time.
- **Answer**: 60 miles per hour
### Advanced Topics
31. **Question**: Find the value of x in the equation: 5(x - 3) = 20.
- **Solution Tip**: Distribute and isolate x:
- 5x - 15 = 20
- 5x = 35
- x = 7
- **Answer**: 7
32. **Question**: What are the solutions to the equation x² - 9 = 0?
- **Solution Tip**: Factor the quadratic:
- (x - 3)(x + 3) = 0
- **Answer**: x = 3 and x = -3
33. **Question**: Simplify 3(2x + 4) - 2(x - 1).
- **Solution Tip**: Distribute and combine like terms.
- **Answer**: 4x + 14
34. **Question**: If 2/3 of a number is 12, what is the number?
- **Solution Tip**: Set up an equation: (2/3)x = 12 and solve for x.
- **Answer**: 18
35. **Question**: What is 25% of 200?
- **Solution Tip**: Convert percentage to a fraction and multiply.
- **Answer**: 50
### Patterns and Sequences
36. **Question**: What is the next number in the sequence: 2, 4, 8, 16, ...?
- **Solution Tip**: Identify the pattern (each number doubles).
- **Answer**: 32
37. **Question**: In the sequence 1, 1, 2, 3, 5, what is the next number?
- **Solution Tip**: Add the last two numbers to find the next one.
- **Answer**: 8
38. **Question**: If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the fifth term?
- **Solution Tip**: Use the formula: a_n = a + (n-1)d.
- **Answer**: 17
39. **Question**: Calculate the sum of the first five even numbers.
- **Solution Tip**: Identify the numbers (2, 4, 6, 8, 10) and add them.
- **Answer**: 30
40. **Question**: Find the 10th term of the sequence: 3, 6, 9, 12, ...
- **Solution Tip**: Recognize it's an arithmetic sequence with a common difference of 3.
- **Answer**: 30
### Miscellaneous
41. **Question**: What is the greatest common divisor (GCD) of 24 and 36?
- **Solution Tip**: List the factors of each and find the largest common one.
- **Answer**: 12
42. **Question**: Convert 7/10 to a decimal.
- **Solution Tip**: Divide the numerator by the denominator.
- **Answer**: 0.7
43. **Question**: If the temperature today is 25°C and it drops by 10°C, what is the new temperature?
- **Solution Tip**: Subtract the decrease from the original temperature.
- **Answer**: 15°C
44. **Question**: Round 4.567 to the nearest tenth.
- **Solution Tip**: Look at the hundredths place (6) to round up or down.
- **Answer**: 4.6
45. **Question**: If a dozen eggs costs $2.40, how much does one egg cost?
- **Solution Tip**: Divide the total cost by 12.
- **Answer**: $0.20
### More Arithmetic Questions
46. **Question**: What is 8 × 7?
- **Answer**: 56
47. **Question**: What is 144 divided by 12?
- **Answer**: 12
48. **Question**: What is 15% of 200?
- **Answer**: 30
49. **Question**: Add 1/2 and 1/3.
- **Answer**: 5/6
50. **Question**: Subtract 2.5 from 4.8.
- **Answer**: 2.3
### More Algebra Questions
51. **Question**: Solve for x: 4x - 12 = 8.
- **Answer**: x = 5
52. **Question**: What is the value of k in the equation 3k + 4 = 19?
- **Answer**: k = 5
53. **Question**: Simplify: 5(x + 2) - 3x.
- **Answer**: 2x + 10
54. **Question**: What is the solution of the equation x² = 49?
- **Answer**: x = 7 or x = -7
55. **Question**: Factor: x² - 16.
- **Answer**: (x - 4)(x + 4)
### More Geometry Questions
56. **Question**: Calculate the area of a parallelogram with base 10 cm and height 5 cm.
- **Answer**: 50 cm²
57. **Question**: What is the measure of an interior angle of a triangle with angles measuring 50° and 60°?
- **Answer**: 70°
58. **Question**: How many degrees are in a straight line?
- **Answer**: 180°
59. **Question**: Find the area of a circle with a radius of 3 cm (use π ≈ 3.14).
- **Answer**: 28.26 cm²
60. **Question**: How many sides does a hexagon have?
- **Answer**: 6 sides
### More Ratios and Proportions Questions
61. **Question**: If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?
- **Answer**: 15 dogs
62. **Question**: If 4 pens cost $3, how much do 10 pens cost?
- **Answer**: $7.50
63. **Question**: If a model is drawn with a scale of 1:50, how many centimeters on the model represent 1 meter in real life?
- **Answer**: 2 cm
64. **Question**: A recipe that serves 4 requires 2 cups of sugar. How much sugar is needed for 10 servings?
- **Answer**: 5 cups
65. **Question**: If you mix red and blue paint in a ratio of 3:2, how much blue paint do you need if you have 9 cups of red paint?
- **Answer**: 6 cups
### More Statistics Questions
66. **Question**: What is the range of the following numbers: 3, 7, 8, 2, 5?
- **Answer**: 6 (8 - 2)
67. **Question**: In a class of 20 students, if 16 passed the exam, what fraction of the class passed?
- **Answer**: 4/5
68. **Question**: If a spinner has 4 equal sections numbered 1 to 4, what is the probability of landing on an even number?
- **Answer**: 1/2
69. **Question**: What is the median of the following set of numbers: 1, 3, 3, 6, 7, 8?
- **Answer**: 6
70. **Question**: How many different ways can you arrange the letters in the word "MATH"?
- **Answer**: 24 ways (4!)
### Word Problems
71. **Question**: John bought 3 shirts for $20 each and 2 pairs of jeans for $30 each. What is the total cost?
- **Answer**: $90
72. **Question**: A baker baked 100 cookies and sold 75. How many cookies does he have left?
- **Answer**: 25 cookies
73. **Question**: If a person reads 20 pages per day, how many pages will they read in a week?
- **Answer**: 140 pages
74. **Question**: A bus can take 50 passengers. If there are 200 people waiting, how many trips must the bus make?
- **Answer**: 4 trips
75. **Question**: A water tank can hold 500 liters. If it is filled at a rate of 20 liters per hour, how long will it take to fill the tank?
- **Answer**: 25 hours
### Advanced Topics
76. **Question**: Solve for x in the equation: 2(3x + 4) = 28.
- **Answer**: x = 3
77. **Question**: What is the value of x in the equation 3x - 2 = 4x + 5?
- **Answer**: x = -7
78. **Question**: Expand the expression (x + 5)(x - 2).
- **Answer**: x² + 3x - 10
79. **Question**: If x + 3 < 10, what is the largest integer value of x?
- **Answer**: x = 6
80. **Question**: Simplify: 2/3 + 1/6.
- **Answer**: 5/6
### Patterns and Sequences
81. **Question**: What is the 7th term in the series 1, 4, 9, 16, ...?
- **Answer**: 49
82. **Question**: Identify the next term in the sequence: 1, 1, 2, 4, 7, ...
- **Answer**: 11
83. **Question**: What is the 5th term in the arithmetic sequence with the first term of 2 and a common difference of 3?
- **Answer**: 14
84. **Question**: Find the sum of the first 10 odd numbers.
- **Answer**: 100
85. **Question**: What is the 5th number in the Fibonacci sequence starting from 0?
- **Answer**: 3
### Miscellaneous
86. **Question**: Find the square root of 81.
- **Answer**: 9
87. **Question**: How many zeros are in one hundred thousand?
- **Answer**: 5 zeros
88. **Question**: If a dozen donuts costs $12, what is the cost of 5 donuts?
- **Answer**: $5
89. **Question**: What is 1000 subtracted from 1500?
- **Answer**: 500
90. **Question**: If the sum of a number and 5 is 20, what is the number?
- **Answer**: 15
### Final Set of Questions for Variety
91. **Question**: What is the value of 3 raised to the power of 4?
- **Answer**: 81
92. **Question**: Calculate the smallest prime number greater than 10.
- **Answer**: 11
93. **Question**: How many edges does a cube have?
- **Answer**: 12
94. **Question**: Convert 0.75 to a fraction.
- **Answer**: 3/4
95. **Question**: If a triangle’s angles measure 90° and 50°, what is the third angle?
- **Answer**: 40°
These questions cover a variety of topics, ensuring a well-rounded competition that tests different mathematical skills. You can modify the questions or the difficulty level as needed!
### Arithmetic
1. **Question**: What is 156 + 289?
- **Solution Tip**: Line up the numbers by place value:
```
156
+ 289
------
```
Add them column by column.
- **Answer**: 445
2. **Question**: Calculate 560 - 287.
- **Solution Tip**: Use borrowing if necessary.
- **Answer**: 273
3. **Question**: Multiply 23 by 15.
- **Solution Tip**: Break down the multiplication:
- 23 × 10 = 230
- 23 × 5 = 115
- Add 230 + 115 = 345
- **Answer**: 345
4. **Question**: Divide 144 by 12.
- **Solution Tip**: Use long division or multiplication to check.
- **Answer**: 12
5. **Question**: What is the remainder when 1000 is divided by 6?
- **Solution Tip**: Perform the division to find the remainder.
- **Answer**: 4
### Algebra
6. **Question**: Solve for x: 2x + 5 = 15.
- **Solution Tip**: Isolate x:
- 2x = 10
- x = 5
- **Answer**: 5
7. **Question**: What is the value of y if 3y - 7 = 2?
- **Solution Tip**: Add 7 to both sides:
- 3y = 9
- Divide by 3.
- **Answer**: 3
8. **Question**: Simplify the expression: 4(x + 2) - 3x.
- **Solution Tip**: Distribute 4:
- 4x + 8 - 3x
- Combine like terms:
- **Answer**: x + 8
9. **Question**: If 5x = 35, what is x?
- **Solution Tip**: Divide both sides by 5.
- **Answer**: 7
10. **Question**: Solve the equation: x² + 6x + 9 = 0.
- **Solution Tip**: Factor the quadratic:
- (x + 3)(x + 3) = 0
- Therefore, x = -3.
- **Answer**: -3
### Geometry
11. **Question**: What is the area of a rectangle with a length of 10 cm and width of 5 cm?
- **Solution Tip**: Area = length × width.
- **Answer**: 50 cm²
12. **Question**: Find the circumference of a circle with a radius of 7 cm (use π ≈ 3.14).
- **Solution Tip**: Circumference = 2πr.
- **Answer**: 43.96 cm
13. **Question**: What is the volume of a cube with edges of length 4 cm?
- **Solution Tip**: Volume = side³.
- **Answer**: 64 cm³
14. **Question**: Calculate the perimeter of a triangle with sides measuring 8 cm, 6 cm, and 10 cm.
- **Solution Tip**: Add all sides together.
- **Answer**: 24 cm
15. **Question**: What is the area of a triangle with a base of 10 cm and height of 5 cm?
- **Solution Tip**: Area = 1/2 × base × height.
- **Answer**: 25 cm²
### Ratios and Proportions
16. **Question**: What is the ratio of 12 to 16 in simplest form?
- **Solution Tip**: Divide both by the greatest common divisor (GCD).
- **Answer**: 3:4
17. **Question**: If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?
- **Solution Tip**: Directly write it as a ratio: flour: sugar.
- **Answer**: 2:3
18. **Question**: If a car travels 180 miles on 6 gallons of gas, what is the unit rate (miles per gallon)?
- **Solution Tip**: Divide total miles by total gallons.
- **Answer**: 30 miles per gallon
19. **Question**: If the ratio of boys to girls in a class is 4:5 and there are 20 boys, how many girls are there?
- **Solution Tip**: Set up a proportion to find girls.
- **Answer**: 25 girls
20. **Question**: If a map is drawn to a scale of 1:100, how many centimeters on the map represents 1 kilometer in real life?
- **Solution Tip**: Convert kilometers to centimeters (1 km = 100,000 cm).
- **Answer**: 100 cm
### Statistics and Probability
21. **Question**: What is the mean of the numbers 5, 10, 15?
- **Solution Tip**: Add the numbers and divide by the count.
- **Answer**: 10
22. **Question**: In a class of 30 students, 18 are girls. What is the probability of randomly selecting a girl?
- **Solution Tip**: P(girl) = number of girls / total students.
- **Answer**: 0.6 or 60%
23. **Question**: Find the median of the following set of numbers: 3, 7, 9, 5, 2.
- **Solution Tip**: Sort the numbers first, then find the middle value.
- **Answer**: 5
24. **Question**: What is the mode of the numbers: 4, 1, 2, 2, 5, 4, 4?
- **Solution Tip**: Identify the number that appears most frequently.
- **Answer**: 4
25. **Question**: If the average of five numbers is 20, what is the sum of those numbers?
- **Solution Tip**: Sum = average × number of items.
- **Answer**: 100
### Word Problems
26. **Question**: A pencil costs $0.50. How many pencils can you buy with $5.00?
- **Solution Tip**: Divide total money by the cost of one pencil.
- **Answer**: 10 pencils
27. **Question**: A car travels 60 miles per hour. How far does it go in 2.5 hours?
- **Solution Tip**: Distance = speed × time.
- **Answer**: 150 miles
28. **Question**: If Tom has 30 apples and gives away 12, how many apples does he have left?
- **Solution Tip**: Subtract the number given away from the total.
- **Answer**: 18 apples
29. **Question**: A book originally costs $30 but is on sale for 25% off. How much is the book on sale?
- **Solution Tip**: Calculate the discount and subtract from the original price.
- **Answer**: $22.50
30. **Question**: If a train travels 300 miles in 5 hours, what is its average speed?
- **Solution Tip**: Average speed = distance / time.
- **Answer**: 60 miles per hour
### Advanced Topics
31. **Question**: Find the value of x in the equation: 5(x - 3) = 20.
- **Solution Tip**: Distribute and isolate x:
- 5x - 15 = 20
- 5x = 35
- x = 7
- **Answer**: 7
32. **Question**: What are the solutions to the equation x² - 9 = 0?
- **Solution Tip**: Factor the quadratic:
- (x - 3)(x + 3) = 0
- **Answer**: x = 3 and x = -3
33. **Question**: Simplify 3(2x + 4) - 2(x - 1).
- **Solution Tip**: Distribute and combine like terms.
- **Answer**: 4x + 14
34. **Question**: If 2/3 of a number is 12, what is the number?
- **Solution Tip**: Set up an equation: (2/3)x = 12 and solve for x.
- **Answer**: 18
35. **Question**: What is 25% of 200?
- **Solution Tip**: Convert percentage to a fraction and multiply.
- **Answer**: 50
### Patterns and Sequences
36. **Question**: What is the next number in the sequence: 2, 4, 8, 16, ...?
- **Solution Tip**: Identify the pattern (each number doubles).
- **Answer**: 32
37. **Question**: In the sequence 1, 1, 2, 3, 5, what is the next number?
- **Solution Tip**: Add the last two numbers to find the next one.
- **Answer**: 8
38. **Question**: If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the fifth term?
- **Solution Tip**: Use the formula: a_n = a + (n-1)d.
- **Answer**: 17
39. **Question**: Calculate the sum of the first five even numbers.
- **Solution Tip**: Identify the numbers (2, 4, 6, 8, 10) and add them.
- **Answer**: 30
40. **Question**: Find the 10th term of the sequence: 3, 6, 9, 12, ...
- **Solution Tip**: Recognize it's an arithmetic sequence with a common difference of 3.
- **Answer**: 30
### Miscellaneous
41. **Question**: What is the greatest common divisor (GCD) of 24 and 36?
- **Solution Tip**: List the factors of each and find the largest common one.
- **Answer**: 12
42. **Question**: Convert 7/10 to a decimal.
- **Solution Tip**: Divide the numerator by the denominator.
- **Answer**: 0.7
43. **Question**: If the temperature today is 25°C and it drops by 10°C, what is the new temperature?
- **Solution Tip**: Subtract the decrease from the original temperature.
- **Answer**: 15°C
44. **Question**: Round 4.567 to the nearest tenth.
- **Solution Tip**: Look at the hundredths place (6) to round up or down.
- **Answer**: 4.6
45. **Question**: If a dozen eggs costs $2.40, how much does one egg cost?
- **Solution Tip**: Divide the total cost by 12.
- **Answer**: $0.20
### More Arithmetic Questions
46. **Question**: What is 8 × 7?
- **Answer**: 56
47. **Question**: What is 144 divided by 12?
- **Answer**: 12
48. **Question**: What is 15% of 200?
- **Answer**: 30
49. **Question**: Add 1/2 and 1/3.
- **Answer**: 5/6
50. **Question**: Subtract 2.5 from 4.8.
- **Answer**: 2.3
### More Algebra Questions
51. **Question**: Solve for x: 4x - 12 = 8.
- **Answer**: x = 5
52. **Question**: What is the value of k in the equation 3k + 4 = 19?
- **Answer**: k = 5
53. **Question**: Simplify: 5(x + 2) - 3x.
- **Answer**: 2x + 10
54. **Question**: What is the solution of the equation x² = 49?
- **Answer**: x = 7 or x = -7
55. **Question**: Factor: x² - 16.
- **Answer**: (x - 4)(x + 4)
### More Geometry Questions
56. **Question**: Calculate the area of a parallelogram with base 10 cm and height 5 cm.
- **Answer**: 50 cm²
57. **Question**: What is the measure of an interior angle of a triangle with angles measuring 50° and 60°?
- **Answer**: 70°
58. **Question**: How many degrees are in a straight line?
- **Answer**: 180°
59. **Question**: Find the area of a circle with a radius of 3 cm (use π ≈ 3.14).
- **Answer**: 28.26 cm²
60. **Question**: How many sides does a hexagon have?
- **Answer**: 6 sides
### More Ratios and Proportions Questions
61. **Question**: If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?
- **Answer**: 15 dogs
62. **Question**: If 4 pens cost $3, how much do 10 pens cost?
- **Answer**: $7.50
63. **Question**: If a model is drawn with a scale of 1:50, how many centimeters on the model represent 1 meter in real life?
- **Answer**: 2 cm
64. **Question**: A recipe that serves 4 requires 2 cups of sugar. How much sugar is needed for 10 servings?
- **Answer**: 5 cups
65. **Question**: If you mix red and blue paint in a ratio of 3:2, how much blue paint do you need if you have 9 cups of red paint?
- **Answer**: 6 cups
### More Statistics Questions
66. **Question**: What is the range of the following numbers: 3, 7, 8, 2, 5?
- **Answer**: 6 (8 - 2)
67. **Question**: In a class of 20 students, if 16 passed the exam, what fraction of the class passed?
- **Answer**: 4/5
68. **Question**: If a spinner has 4 equal sections numbered 1 to 4, what is the probability of landing on an even number?
- **Answer**: 1/2
69. **Question**: What is the median of the following set of numbers: 1, 3, 3, 6, 7, 8?
- **Answer**: 6
70. **Question**: How many different ways can you arrange the letters in the word "MATH"?
- **Answer**: 24 ways (4!)
### Word Problems
71. **Question**: John bought 3 shirts for $20 each and 2 pairs of jeans for $30 each. What is the total cost?
- **Answer**: $90
72. **Question**: A baker baked 100 cookies and sold 75. How many cookies does he have left?
- **Answer**: 25 cookies
73. **Question**: If a person reads 20 pages per day, how many pages will they read in a week?
- **Answer**: 140 pages
74. **Question**: A bus can take 50 passengers. If there are 200 people waiting, how many trips must the bus make?
- **Answer**: 4 trips
75. **Question**: A water tank can hold 500 liters. If it is filled at a rate of 20 liters per hour, how long will it take to fill the tank?
- **Answer**: 25 hours
### Advanced Topics
76. **Question**: Solve for x in the equation: 2(3x + 4) = 28.
- **Answer**: x = 3
77. **Question**: What is the value of x in the equation 3x - 2 = 4x + 5?
- **Answer**: x = -7
78. **Question**: Expand the expression (x + 5)(x - 2).
- **Answer**: x² + 3x - 10
79. **Question**: If x + 3 < 10, what is the largest integer value of x?
- **Answer**: x = 6
80. **Question**: Simplify: 2/3 + 1/6.
- **Answer**: 5/6
### Patterns and Sequences
81. **Question**: What is the 7th term in the series 1, 4, 9, 16, ...?
- **Answer**: 49
82. **Question**: Identify the next term in the sequence: 1, 1, 2, 4, 7, ...
- **Answer**: 11
83. **Question**: What is the 5th term in the arithmetic sequence with the first term of 2 and a common difference of 3?
- **Answer**: 14
84. **Question**: Find the sum of the first 10 odd numbers.
- **Answer**: 100
85. **Question**: What is the 5th number in the Fibonacci sequence starting from 0?
- **Answer**: 3
### Miscellaneous
86. **Question**: Find the square root of 81.
- **Answer**: 9
87. **Question**: How many zeros are in one hundred thousand?
- **Answer**: 5 zeros
88. **Question**: If a dozen donuts costs $12, what is the cost of 5 donuts?
- **Answer**: $5
89. **Question**: What is 1000 subtracted from 1500?
- **Answer**: 500
90. **Question**: If the sum of a number and 5 is 20, what is the number?
- **Answer**: 15
### Final Set of Questions for Variety
91. **Question**: What is the value of 3 raised to the power of 4?
- **Answer**: 81
92. **Question**: Calculate the smallest prime number greater than 10.
- **Answer**: 11
93. **Question**: How many edges does a cube have?
- **Answer**: 12
94. **Question**: Convert 0.75 to a fraction.
- **Answer**: 3/4
95. **Question**: If a triangle’s angles measure 90° and 50°, what is the third angle?
- **Answer**: 40°
These questions cover a variety of topics, ensuring a well-rounded competition that tests different mathematical skills. You can modify the questions or the difficulty level as needed!