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Question | Answer |
---|---|
What is 25 % 25% of 200? | 50 |
Add 3.5 + 2.75 = ? 3.5+2.75=? | 6.25 |
Subtract 5.8 − 2.3 = ? 5.8−2.3 | 3.5 |
Multiply 4.2 × 3 = ? 4.2×3 | 12.6 |
Divide 49 ÷ 7 = ? 49÷7 | 7 |
What is 60 % 60% of 150 | 90 |
9+4×2=? (Use order of operations) | 17 |
18−(2+4)= | 12 |
Find the product of 12 12 and 5 5. | 60 |
What is the sum of 37 37 and 65 65 | 102 |
Subtract 90 − 46 = ? 90−46 | 44 |
7×(8+2)= | 70 |
If you have 100 100 apples and give away 25 % 25%, how many do you have left? | 75 |
Calculate 0.5 + 0.75 = ? 0.5+0.75= | 1.25 |
20% of 250 = ? 250= | 50 |
15+6−4×2= | 13 |
Solve for 𝑥 x: 3 𝑥 + 5 = 20 3x+5=20 | x=5 |
Simplify 36 48 48 36 . | 3/4 |
2.5+1.75= | 4.25 |
12.3−4.6= | 7.7 |
Convert 0.125 0.125 to a fraction | 1/8 |
If a car travels 300 300 miles on 10 10 gallons of gas, what is the miles per gallon? | 30 mpg |
Calculate the area of a rectangle with length 10 10 and width 5 5. | 50 |
Find 3.5 % 3.5% of 200 200. | 7 |
6 5 + 3 1 = | 11/6 |
Subtract 9 10 − 1 5 = ? 10 9 − 5 1 = | 7/10 |
If a shirt originally costs $40 and is on sale for 25 % 25% off, what is the sale price? | $30 |
45+2×(3+4)= | 51 |
Solve for y 𝑦; 2y-3=7 | y=5 |
Convert 150% to a decimal. | 1.5 |
If the ratio of boys to girls in a class is 3 : 2 3:2 and there are 15 15 boys, how many girls are there? | 10 girls |
Find the perimeter of a rectangle with length 8 8 and width 3 3. | 22 |
Calculate 2 5 ÷ 1 2 = ? 5 2 ÷ 2 1 =? | 4/5 |
4.5×10= | 45 |
What is 80% of 250 | 200 |
Solve for 𝑥 5x-10=0 | x=2 |
What is the area of a square with side length 4? | 16 |
Calculate the perimeter of a rectangle with length 5 with 3. | 16 |
What is the area of a triangle with base 6 and height 4? | 12 |
Find the circumference of a circle with a radius of 7 (Use 𝜋≈3.14 | 43.96 |
What is the volume of a cube with side length 3? | 27 |
Calculate the area of a circle with a radius of 5. | 78.5 |
Find the perimeter of a triangle with sides 3,4,5. | 12 |
What is the area of a trapezoid with bases 8 and 6 and height 5. | 35 |
Calculate the surface area of a cylinder with radius 3 and height 5 | 113.04 |
Find the volume of a rectangular prism with dimensions 2,3 and 4. | 24 |
What is the length of the hypotenuse of a right triangle with legs of 6 and 8? | 10 |
Find the area of a parallelogram with base 10 height 4? | 40 |
What is the circumference of a circle with a diameter of 10? | 31.4 |
Calculate the volume of a sphere with radius 4. | 208.08/3≈89.36 |
Find the perimeter of a square with a side length of 7. | 28 |
Calculate the area of a semicircle with a radius of 3. | 14.13/2 ≈7.07 |
What is the lateral surface area of a rectangular prism with length 5 width 3 and height 4? | 62 |
Find the area of a sector with a central angle of 90 Degrees in a circle with a radius of 6. | 18 |
What is the volume of a cone with a radius of 3 and height 4. | 30.72 |
Find the surface area of a cube with side length 2. | 8 |
Explain the difference between a population and a sample. | Population includes all, sample is a subset. |
What is the Central Limit Theorem? | It states that the distribution of sample means approaches a normal distribution as sample size increases. |
If a dataset has a mean of 50 and a standard deviation of 5, what is the z-score of | z= 60- |
What is a confidence interval? | |
How do you interpret a p-value? | |
If two events are independent, how do you calculate the probability of both occurring? | |
What is a normal distribution? | |
Define outlier. | |
Explain what a hypothesis test is. | |
What is the formula for the linear regression line? | |
If a survey shows that 40% of people support a certain policy, how many out of 1000 people would you expect to support it? | |
What is the difference between Type I and Type II errors? | |
How do you calculate the correlation coefficient? | |
Define and differentiate between qualitative and quantitative data. | |
What is the significance of a confidence level in statistics? | |
Explain the purpose of random sampling. | |
What is an ANOVA test? | |
Describe what a scatter plot represents. | |
How do you interpret the slope in a linear regression model? | |
What is the purpose of a Chi-square test? | |
What is the area of a square with side length 4? | 16 |
Calculate the perimeter of a rectangle with length 5 with 3. | 16 |
What is the area of a triangle with base 6 and height 4? | 12 |
Find the circumference of a circle with a radius of 7 (Use 𝜋≈3.14 | 43.96 |
What is the volume of a cube with side length 3? | 27 |
Calculate the area of a circle with a radius of 5. | 78.5 |
Find the perimeter of a triangle with sides 3,4,5. | 12 |
What is the area of a trapezoid with bases 8 and 6 and height 5. | 35 |
Calculate the surface area of a cylinder with radius 3 and height 5 | 113.04 |
Find the volume of a rectangular prism with dimensions 2,3 and 4. | 24 |
What is the length of the hypotenuse of a right triangle with legs of 6 and 8? | 10 |
Find the area of a parallelogram with base 10 height 4? | 40 |
What is the circumference of a circle with a diameter of 10? | 31.4 |
Calculate the volume of a sphere with radius 4. | 208.08/3≈89.36 |
Find the perimeter of a square with a side length of 7. | 28 |
Calculate the area of a semicircle with a radius of 3. | 14.13/2 ≈7.07 |
What is the lateral surface area of a rectangular prism with length 5 width 3 and height 4? | 62 |
Find the area of a sector with a central angle of 90 Degrees in a circle with a radius of 6. | 18 |
What is the volume of a cone with a radius of 3 and height 4. | 30.72 |
Find the surface area of a cube with side length 2. | 8 |
Explain the difference between a population and a sample. | Population includes all, sample is a subset. |
What is the Central Limit Theorem? | It states that the distribution of sample means approaches a normal distribution as sample size increases. |
If a dataset has a mean of 50 and a standard deviation of 5, what is the z-score of | z= 60-50/2=2 |
What is a confidence interval? | A range of values used to estimate a population parameter. |
How do you interpret a p-value? | Indicates the strength of evidence against the null hypothesis. |
If two events are independent, how do you calculate the probability of both occurring? | Multiply their probabilities. |
What is a normal distribution? | A symmetric, bell-shaped distribution. |
Define outlier. | An outlier is a data point that differs significantly from other observations. |
Explain what a hypothesis test is. | A method to test an assumption regarding a population parameter. |
What is the formula for the linear regression line? | y=mx+b |
If a survey shows that 40% of people support a certain policy, how many out of 1000 people would you expect to support it? | Expected supporters = 400 |
What is the difference between Type I and Type II errors? | Type I: Rejecting true null; Type II: Failing to reject false null. |
How do you calculate the correlation coefficient? | Using Pearson's correlation coefficient. |
Define and differentiate between qualitative and quantitative data. | Qualitative: categorical; Quantitative: numerical. |
What is the significance of a confidence level in statistics? | Indicates the likelihood that the population parameter lies within the interval. |
Explain the purpose of random sampling. | To ensure that every individual has an equal chance of being chosen. |
What is an ANOVA test? | Used to compare means across multiple groups. |
Describe what a scatter plot represents. | It shows relationships between two variables. |
How do you interpret the slope in a linear regression model? | Indicates the change in the dependent variable for a one-unit change in the independent variable. |
What is the purpose of a Chi-square test? | To determine if there is a significant association between categorical variables. |