Questions and Answers
What is the purpose of the two-point form of the straight line equation?
What is the general formula for the gradient–point form of the straight line equation?
What is the value of c in the gradient–intercept form of the straight line equation?
What is the significance of the y-intercept c in the gradient–intercept form?
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What is the condition for the two-point form to be used?
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What is the condition for the gradient–point form to be used?
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What is the condition for the gradient–intercept form to be used?
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What is the relationship between the gradient–point form and the gradient–intercept form?
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What is the relationship between the gradient of a line and the inclination of the line?
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What is the value of the gradient of a vertical line?
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What is the equation of a line that passes through the point (2, 3) and is parallel to the line y = 2x + 1?
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What is the inclination of a line with a gradient of -3?
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What is the condition for two lines to be parallel?
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What is the value of the gradient of a horizontal line?
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What is the relationship between the tangent function and the angle of inclination?
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What is the point-slope form of the equation of a line?
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What is the equation of a line that is parallel to the line y = 3x - 2 and passes through the point (1, 4)?
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What is the inclination of a line with a gradient of 2?
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What is the condition for two lines to be perpendicular?
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What is the amplitude of the function y = sin(θ) for 0° ≤ θ ≤ 360°?
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What is the effect of q on the graph of y = a sin(θ) + q?
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What is the period of the function y = sin(kθ)?
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What is the effect of a on the graph of y = a sin(θ)?
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What is the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (1, 4)?
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What is the x-intercept of the function y = sin(θ)?
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What is the effect of p on the graph of y = sin(θ + p)?
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What is the range of the function y = sin(kθ)?
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What is the equation of a line that is perpendicular to y = 3x - 2 and passes through the point (2, 5)?
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What is the effect of q on the graph of y = a cos θ + q?
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What is the period of the function y = cos kθ?
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What is the effect of a on the graph of y = a tan θ + q?
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What is the range of the function y = cos θ?
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What is the effect of k on the period of the function y = tan kθ?
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What is the domain of the function y = cos θ?
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What is the y-intercept of the function y = cos θ?
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What is the effect of p on the graph of y = cos(θ + p)?
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What is the amplitude of the function y = a cos θ?
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What is the period of the function y = tan θ?
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What is the domain of the function y = tan(kθ) in degrees?
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What is the effect of p on the graph of y = tan(θ + p) when p > 0?
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What is the formula for the area of a trapezium?
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What is the formula for the volume of a cylinder?
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What is the surface area of a rectangular prism?
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What is the volume of a triangular prism?
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What is the circumference of a circle with radius r?
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What is the characteristic of a right pyramid?
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What is the formula for the area of a circle?
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What is the shape of the net of a cylinder?
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What is the primary purpose of calculating the interquartile range (IQR) in identifying outliers?
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What is the term for the data points that lie far from the general trend or pattern of the rest of the data in a scatter plot?
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What is the formula for calculating the lower boundary for outliers in a box-and-whisker diagram?
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What is the primary purpose of a box-and-whisker diagram?
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What is the term for the summary of a dataset that includes the minimum, first quartile, median, third quartile, and maximum values?
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If a circle is scaled by a factor of 2, what will be the ratio of the new surface area to the original surface area?
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What is the name of the theorem that states that the angle at the center of a circle is twice the angle at the circumference?
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What is the formula for the surface area of a triangular pyramid?
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What is the formula for the volume of a right cone?
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What is the name of the line that touches the circle at only one point on the circumference?
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If two tangents are drawn from the same point outside a circle, what can be said about their lengths?
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What is the formula for the surface area of a sphere?
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What is the name of the part of the circle that is cut off by a chord?
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If a rectangular prism has dimensions $l, b, h$ and one dimension is multiplied by a constant factor $k$, what is the new volume?
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What is the formula for the surface area of a right cone?
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If a line segment from the center of a circle is perpendicular to a chord, what can be said about the line segment?
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If a rectangular prism has dimensions $l, b, h$ and all three dimensions are multiplied by a constant factor $k$, what is the new volume?
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What is the name of the theorem that states that the angle between a tangent and a chord is equal to the angle in the alternate segment?
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What is the formula for the volume of a triangular prism?
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If the opposite angles of a cyclic quadrilateral are supplementary, what can be said about the quadrilateral?
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What is the name of the part of the circle that is a straight line joining the ends of an arc?
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What is the formula for the surface area of a square pyramid?
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What is the formula for the volume of a sphere?
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If an angle at the center of a circle is twice the angle at the circumference, what can be said about the angles?
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If a rectangular prism has dimensions $l, b, h$ and two dimensions are multiplied by a constant factor $k$, what is the new surface area?
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What is the main difference between a histogram and a frequency polygon?
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What is the formula for calculating the relative frequency of an event?
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What is the purpose of finding the midpoint of a class interval in a histogram?
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What is the formula for calculating the cumulative frequency of a class interval?
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What is the purpose of plotting points on an ogive?
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What is the significance of the 50th percentile on an ogive?
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What is the difference between a class interval and a class mark?
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What is the formula for the k-th percentile?
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What is the definition of variance in a dataset?
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What is the purpose of drawing a histogram?
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What is the significance of the modal class in a histogram?
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What is the relationship between the mean and median in a right-skewed distribution?
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What is the definition of an outlier in a dataset?
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What is the purpose of drawing a frequency polygon?
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What is the purpose of calculating the standard deviation of a dataset?
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What is the formula for the standard deviation of a dataset?
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What is the characteristic of a dataset with a small standard deviation?
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What is the purpose of calculating the variance of a dataset?
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What is the characteristic of a right-skewed distribution?
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What is the purpose of identifying outliers in a dataset?
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What is the primary equation used to derive the gradient–point form of the straight line equation?
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Given the gradient–intercept form of the straight line equation y = mx + c, what is the value of y when x = 1 and m = 2 and c = 3?
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Which of the following forms of the straight line equation can be used to find the equation of a line that passes through two points?
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What is the value of the gradient of a line that passes through the points (2, 3) and (4, 5)?
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If a line has a gradient of -3 and passes through the point (1, 2), what is the equation of the line in gradient–point form?
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What is the value of c in the gradient–intercept form of the straight line equation y = mx + c when the line passes through the point (2, 5) and has a gradient of 2?
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Which of the following forms of the straight line equation can be used to find the equation of a line that has a gradient of 3 and passes through the point (1, 2)?
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What is the value of y when x = 0 in the equation y = mx + c, given that the line passes through the point (2, 3) and has a gradient of 1?
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What is the relationship between the gradients of two perpendicular lines?
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If a line has a gradient of 3, what is the gradient of a line that is perpendicular to it?
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What is the effect of the value of k on the period of the function y = sin(kθ)?
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What is the effect of the value of a on the shape of the function y = a sin(θ)?
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What is the effect of the value of p on the graph of the function y = sin(θ + p)?
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What is the equation of a line that is perpendicular to the line y = 2x + 3 and passes through the point (1, 4)?
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What is the domain of the function y = sin(kθ)?
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What is the range of the function y = a sin(θ)?
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What is the equation of a line that is parallel to the line y = 3x - 2 and passes through the point (2, 5)?
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What is the x-intercept of the function y = sin(θ)?
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What is the relationship between the gradient of a line and its inclination?
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What is the inclination of a line with a gradient of 1/2?
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What is the equation of a line that is parallel to the line y = 2x + 3 and passes through the point (4, 5)?
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What is the domain of the function y = tan kθ in degrees?
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What is the condition for two lines to be parallel?
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What is the range of the function y = tan kθ?
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What is the gradient of a line that is perpendicular to the line y = 3x - 2?
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What is the effect of a negative gradient on the inclination of a line?
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What is the effect of p on the graph of y = tan(θ + p) when p > 0?
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What is the formula for the area of a triangle?
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What is the point-slope form of the equation of a line?
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What is the surface area of a rectangular prism?
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What is the gradient of a horizontal line?
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What is the relationship between the tangent function and the angle of inclination?
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What is the volume of a triangular prism?
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What is the circumference of a circle with radius r?
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What is the inclination of a vertical line?
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What is the shape of the net of a cylinder?
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What is the characteristic of a right pyramid?
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What is the formula for the area of a circle?
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What is the effect of q on the graph of y = a cos θ + q?
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What is the period of the function y = tan kθ?
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What is the effect of a on the graph of y = a tan θ + q?
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What is the domain of the function y = cos(kθ)?
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What is the range of the function y = cos(kθ)?
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What is the effect of p on the graph of y = cos(θ + p)?
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What is the period of the function y = cos θ?
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What is the effect of k on the period of the function y = cos kθ?
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What is the x-intercept of the function y = cos θ?
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What is the amplitude of the function y = a cos θ?
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What is the scale factor of the surface area when the dimensions of an object are multiplied by a factor of k?
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What is the relationship between the radius and diameter of a circle?
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What is the angle at the center of a circle subtended by an arc, if the angle at the circumference is 30 degrees?
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What is the property of a tangent to a circle?
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What is the consequence of the perpendicular bisector of a chord passing through the center of a circle?
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What is the relationship between the angles subtended by the same arc in a circle?
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What is the consequence of two tangents being drawn from the same point outside a circle?
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What is the property of a cyclic quadrilateral?
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What is the relationship between the segment and the chord of a circle?
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What is the consequence of the angle at the center of a circle being 60 degrees?
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What is the formula for the surface area of a right cone?
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What is the primary purpose of calculating the Five Number Summary in identifying outliers?
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What is the formula for the volume of a sphere?
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What happens to the surface area and volume of a rectangular prism when one dimension is multiplied by a constant factor k?
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What is the formula for the Upper Boundary of outliers in a box-and-whisker diagram?
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What is the formula for the volume of a right cone?
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What is the term for the data points that are outside the boundaries of Q1 - 1.5 × IQR and Q3 + 1.5 × IQR in a box-and-whisker diagram?
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What is the formula for the surface area of a triangular pyramid?
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What type of plot is used to show the relationship between two variables?
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What happens to the surface area and volume of a rectangular prism when all three dimensions are multiplied by a constant factor k?
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What is the formula for the Interquartile Range (IQR) in a box-and-whisker diagram?
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What is the formula for the volume of a triangular prism?
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What is the formula for the surface area of a square pyramid?
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What is the formula for the volume of a right cylinder?
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What happens to the surface area and volume of a rectangular prism when two dimensions are multiplied by a constant factor k?
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What is the key characteristic of a histogram that distinguishes it from a bar graph?
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What is the formula for calculating the relative frequency of an event?
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What is the term for the midpoint of a class interval?
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What is the purpose of a frequency polygon?
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What is the formula for calculating the cumulative frequency up to the i-th interval?
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What is the purpose of an ogive?
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How do you find the median using an ogive?
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What is the first quartile (Q1) of a dataset?
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What is the purpose of dividing a dataset into equal-length intervals in a histogram?
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What is the relationship between the points on a frequency polygon and the class intervals?
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What is the purpose of calculating the k-th percentile in a dataset?
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What is the formula for calculating the variance of a dataset?
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What is the property of a small standard deviation in a dataset?
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What is the characteristic of a right skewed distribution?
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What is the purpose of identifying outliers in a dataset?
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What is the formula for calculating the standard deviation of a dataset?
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What is the characteristic of a symmetric distribution?
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What is the purpose of calculating the variance and standard deviation in a dataset?
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What is the property of a large standard deviation in a dataset?
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What is the characteristic of a left skewed distribution?
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What is the main advantage of using the two-point form of the straight line equation?
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If a line has a gradient of 2 and passes through the point (3, 4), what is the equation of the line in gradient-intercept form?
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What is the relationship between the gradient of a line and the inclination of the line?
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What is the condition for two lines to be parallel?
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What is the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (1, 4)?
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What is the significance of the y-intercept in the gradient-intercept form of the straight line equation?
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What is the value of tanθ when θ is 60°?
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What is the relationship between the gradient-point form and the gradient-intercept form of the straight line equation?
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What is the main difference between the two-point form and the gradient-point form of the straight line equation?
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If two lines are perpendicular, what is the relationship between their gradients?
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What is the equation of a line that passes through the point (3, 4) and is parallel to the line y = 2x + 1?
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What is the angle of inclination of a line with a gradient of -1/2?
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What is the gradient of a line that passes through the points (2, 3) and (4, 5)?
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What is the inclination of a horizontal line?
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What is the equation of a line that is parallel to the line y = 3x - 2 and passes through the point (1, 4)?
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What is the value of tanθ when θ is 135°?
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What is the gradient of a line that passes through the points (1, 2) and (3, 4)?
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What is the equation of a line that is perpendicular to the line y = 2x + 1 and passes through the point (2, 3)?
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What is the gradient of a line that is perpendicular to a line with a gradient of 3?
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What is the amplitude of the function y = 2sin(θ) for 0° ≤ θ ≤ 360°?
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What is the period of the function y = sin(2θ)?
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What is the equation of a line that is perpendicular to y = 2x - 3 and passes through the point (1, 4)?
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What is the horizontal shift of the graph of y = sin(θ + 30°)?
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What is the range of the function y = 2sin(θ)?
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What is the effect of q on the graph of y = sin(θ) + q?
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What is the equation of a line that is parallel to y = 3x - 2 and passes through the point (2, 5)?
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What is the x-intercept of the function y = sin(θ)?
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What is the domain of the function y = sin(kθ)?
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What is the period of the function y = cos(kθ)?
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What is the domain of the function y = tan(kθ) in degrees?
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What is the effect of a on the graph of y = a cos(θ)?
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What is the range of the function y = tan(kθ)?
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What is the effect of k on the graph of y = tan(kθ)?
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What is the effect of p on the graph of y = cos(θ + p)?
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What is the formula for the area of a rectangle?
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What is the formula for the volume of a triangular prism?
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What is the domain of the function y = tan(kθ)?
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What is the y-intercept of the function y = cos(θ)?
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What is the shape of the net of a cylinder?
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What is the period of the function y = tan(kθ)?
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What is the effect of p on the graph of y = tan(θ + p) when p > 0?
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What is the effect of q on the graph of y = a tan(θ) + q?
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What is the formula for the surface area of a rectangular prism?
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What is the domain of the function y = tan(θ) in degrees?
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What is the amplitude of the function y = a cos(kθ)?
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What is the formula for the area of a circle?
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What is the characteristic of a right pyramid?
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What does the interquartile range (IQR) represent in a box-and-whisker diagram?
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What is the formula for calculating the upper boundary for identifying outliers in a box-and-whisker diagram?
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What is the purpose of a scatter plot in relation to outliers?
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What is the term for data points that are outside the boundaries of Q1 - 1.5 × IQR and Q3 + 1.5 × IQR in a box-and-whisker diagram?
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What is the first step in identifying outliers in a box-and-whisker diagram?
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If a circle is scaled up by a factor of 2, what will be the ratio of the new surface area to the original surface area?
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What is the angle at the center of a circle subtended by an arc of length 60°?
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If two chords of a circle are equal, what can be said about the angles subtended by these chords at the center of the circle?
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What is the result of bisecting a chord by a line drawn from the center of a circle?
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What is the characteristic of a cyclic quadrilateral?
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If two tangents are drawn from an external point to a circle, what can be said about the lengths of these tangents?
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What is the relationship between the radius and the diameter of a circle?
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What is the angle between a tangent and a chord drawn from the point of contact?
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If an angle at the center of a circle is 60°, what is the corresponding angle at the circumference?
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What is the result of drawing a perpendicular bisector of a chord of a circle?
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What is the surface area of a right cone with a radius of 4 cm and a height of 6 cm?
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If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm, what is the volume of the prism?
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What is the key characteristic of a histogram that distinguishes it from a bar graph?
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What is the formula for calculating the relative frequency of an event?
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What is the volume of a sphere with a radius of 3 cm?
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What is the formula to calculate the k-th percentile?
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What is the purpose of finding the midpoint of a class interval in drawing a frequency polygon?
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What is the purpose of calculating the variance?
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If a square pyramid has a base length of 4 cm and a height of 6 cm, what is the surface area of the pyramid?
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What is the effect on the surface area and volume of a rectangular prism if the length, width, and height are each multiplied by a factor of 2?
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What is the effect of a large standard deviation on the data?
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What is the formula for calculating the cumulative frequency up to the ith interval?
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What is the characteristic of a right-skewed distribution?
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What is the purpose of drawing an ogive?
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What is the formula for the surface area of a triangular pyramid with a base length of b and a slant height of hs?
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What is the purpose of a box-and-whisker plot?
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What is the volume of a right cone with a radius of 3 cm and a height of 5 cm?
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What is the term for the midpoint of a class interval?
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What is the purpose of finding the median class?
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What is the definition of an outlier?
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What is the effect on the surface area and volume of a sphere if the radius is multiplied by a factor of 3?
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What is the term for the class interval with the highest frequency?
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What is the purpose of calculating the standard deviation?
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What is the formula for the volume of a triangular prism with a base length of b, a base width of h, and a height of H?
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What is the purpose of drawing a frequency polygon?
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What is the characteristic of a symmetric distribution?
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What is the surface area of a rectangular prism with a length of 6 cm, a width of 4 cm, and a height of 3 cm?
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What is the effect of a small standard deviation on the data?
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What is the formula for calculating the cumulative frequency up to the ith interval?
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What is the purpose of identifying outliers in a dataset?
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What is the form of the straight line equation that can be used when the gradient and the y-intercept of the line are known?
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A line passes through the points (2, 3) and (4, 5). Which of the following forms can be used to find the equation of the line?
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What is the value of y when x = 0 in the equation y = mx + c?
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A line has a gradient of 2 and passes through the point (3, 4). Which of the following forms can be used to find the equation of the line?
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What is the relationship between the gradient of a line and the inclination of the line?
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A line has a y-intercept of 3 and a gradient of 1. What is the equation of the line?
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What is the purpose of the gradient–point form of the straight line equation?
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What is the difference between the gradient–intercept form and the slope–intercept form of the straight line equation?
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What is the relationship between the gradient of a line and the inclination of the line?
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What is the angle of inclination of a line with a gradient of 1/2?
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What is the equation of a line that is parallel to the line y = 2x + 3 and passes through the point (4, 5)?
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What is the inclination of a vertical line?
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What is the relationship between the gradients of two parallel lines?
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What is the equation of a line that passes through the point (3, 4) and is parallel to the line y = x + 2?
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What is the inclination of a line with a gradient of -1/3?
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What is the gradient of a line that is perpendicular to the line y = 2x + 3?
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What is the equation of a line that passes through the point (2, 3) and is parallel to the line y = 3x - 2?
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What is the inclination of a line with a gradient of 3/4?
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What is the condition for two lines to be perpendicular?
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What is the effect of k on the period of the function y = sin(kθ)?
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What is the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (1, 4)?
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What is the effect of a on the graph of y = a sin(θ)?
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What is the equation of a line that is parallel to the line y = 3x - 2 and passes through the point (2, 5)?
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What is the effect of q on the graph of y = a cos(θ) + q?
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What is the condition for two lines to be parallel?
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What is the effect of p on the graph of y = sin(θ + p)?
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What is the range of the function y = cos(θ)?
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What is the period of the function y = cos(kθ)?
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What is the formula for the area of a triangle?
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What is the shape of the net of a triangular prism?
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What is the formula for the volume of a right prism?
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What is the formula for the circumference of a circle?
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What is the effect of a on the amplitude of the function y = a cos θ?
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What is the characteristic of a right pyramid?
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What is the surface area of a square pyramid with a base of side length b and slant height hs?
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What is the formula for the area of a parallelogram?
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What is the period of the function y = cos(kθ) when k = 2?
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What is the effect of p on the graph of y = cos(θ + p) when p > 0?
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If the dimensions of a rectangular prism are multiplied by a constant factor k, what is the effect on the volume?
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What is the shape of the net of a cylinder?
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What is the formula for the volume of a right cone with a base radius r and height H?
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What is the domain of the function y = tan(kθ) when k = 2?
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What is the formula for the volume of a cylinder?
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What is the range of the function y = tan(kθ) when k = 2?
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What is the formula for the area of a square?
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If the dimensions of a sphere are multiplied by a constant factor k, what is the effect on the surface area?
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What is the formula for the surface area of a triangular pyramid with a base of side length b and height hb?
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What is the effect of k on the period of the function y = tan(kθ) when k > 1?
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What is the formula for the surface area of a rectangular prism?
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If the dimensions of a cylinder are multiplied by a constant factor k, what is the effect on the volume?
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What is the effect of a on the shape of the graph of y = a tan(θ) when a > 1?
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What is the formula for the volume of a triangular prism with a base of side length b and height H?
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What is the y-intercept of the function y = tan(θ) when θ = 0°?
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What is the effect of p on the graph of y = tan(θ + p) when p > 0?
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What is the effect on the surface area of a rectangular prism if one of its dimensions is multiplied by a constant factor k?
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What is the asymptote of the function y = tan(kθ) when k = 2?
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What is the formula for the surface area of a sphere with radius r?
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What is the effect on the volume of a pyramid if its dimensions are multiplied by a constant factor k?
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What is the characteristic of a tangent to a circle?
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What is the relationship between the angle at the center of a circle and the angle at the circumference subtended by the same arc?
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What is the characteristic of a cyclic quadrilateral?
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What is the theorem that states that the angle between a tangent to a circle and a chord drawn from the point of contact is equal to the angle which the chord subtends in the alternate segment?
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What is the characteristic of a histogram?
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What is the relationship between the length of two tangents drawn from the same point outside a circle?
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What is the characteristic of a segment of a circle?
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What is the corollary that states that equal chords subtend equal angles at the center of the circle?
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What is the theorem that states that a line segment from the center of a circle perpendicular to a chord will bisect the chord?
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What is the characteristic of the angle subtended by a chord at the center of a circle?
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What is the main difference between a histogram and a frequency polygon?
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What is the formula for calculating the cumulative frequency of a class interval?
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What is the purpose of finding the median class in a dataset?
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What is the characteristic of the modal class in a dataset?
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What is the use of the relative frequency in a dataset?
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What is the difference between an ogive and a frequency polygon?
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What is the formula for calculating the relative frequency of a class interval?
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What is the purpose of finding the quartiles in a dataset?
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What is the use of the class mark in a histogram?
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What is the difference between the frequency polygon and the ogive?
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What is the formula for calculating the variance of a dataset?
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What is the primary characteristic of a symmetric distribution?
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What is the formula for calculating the standard deviation of a dataset?
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What is the term for the data points that lie far from the general trend or pattern of the rest of the data in a dataset?
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What is the purpose of calculating the interquartile range (IQR) in identifying outliers?
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What is the characteristic of a right-skewed distribution?
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What is the formula for calculating the five-number summary of a dataset?
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What is the purpose of the box-and-whisker plot in identifying outliers?
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What is the characteristic of a left-skewed distribution?
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What is the purpose of calculating the variance of a dataset?
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