Questions and Answers
What is the formula for the two-point form of a straight line equation?
What is the definition of the gradient of a line?
What is the purpose of the gradient-point form of a straight line equation?
What is the standard form of the straight line equation?
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What information is required to use the two-point form of a straight line equation?
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What is the value of c in the equation y = mx + c?
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What is the relationship between the gradient-point form and the two-point form of a straight line equation?
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What is the advantage of using the gradient-intercept form of a straight line equation?
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What is the angle of inclination for a horizontal line?
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What is the relationship between the gradient and the y-intercept of a line?
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What is the tangent of the angle of inclination for a line with a gradient of -0.5?
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What is the equation form used when given two points on a line?
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What is the measure of the steepness of a line?
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What is the characteristic of parallel lines?
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What is the purpose of the point-slope form of a line?
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What is the relationship between the gradient and the inclination of a line?
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What is the inclination of a line with a gradient of 0?
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What is the characteristic of a vertical line?
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What is the condition for two lines to be parallel?
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What is the relationship between the gradients of two perpendicular lines?
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What is the effect of q on the graph of y = ax^2 + q?
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What is the effect of a on the graph of y = ax^2 + q?
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What is the domain of the function f(x) = ax^2 + q?
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What is the range of the function f(x) = ax^2 + q when a > 0?
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What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?
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What is the effect of p on the graph of y = a(x + p)^2 + q?
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What is the condition for the graph of y = ax^2 + q to be a 'frown'?
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What happens to the graph of y = ax^2 + q when a = 0?
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What is the range of a quadratic function when a < 0?
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How do you find the y-intercept of a quadratic function?
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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
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What is the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
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How do you shift the graph of a quadratic function m units to the right?
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What is the formula to find the average gradient of a curve between two points?
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What is the general form of a hyperbolic function?
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What is the effect of q on the graph of a hyperbolic function?
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What is the effect of a on the shape of a hyperbolic function?
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What is the vertical asymptote of a hyperbolic function?
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What is the period of the function y = sinθ?
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What is the effect of q on the graph of y = asinθ + q?
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What is the maximum value of the function y = sinθ?
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What is the range of the function y = sin(kθ)?
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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 effect of p on the graph of y = sin(θ + p)?
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What is the period of the function y = cosθ?
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What is the y-intercept of the function y = cosθ?
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What is the effect of a on the amplitude of the function y = acosθ?
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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 period of the tangent function?
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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 range of the tangent function?
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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 formula for the area of a circle?
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What is the formula for the area of a triangle?
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What is the definition of a right prism?
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What is the effect of p on the graph of the function y = tan(θ + p)?
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What is the formula for the area of a trapezium?
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What is the formula for the circumference of a circle?
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What is the effect of a change in parameter p on the graph of y = a/(x + p) + q?
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What is the equation of the vertical asymptote of y = a/(x + p) + q?
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What is the effect of a change in parameter q on the graph of y = a/(x + p) + q?
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What is the equation of the horizontal asymptote of y = a/(x + p) + q?
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What is the point of intersection of the axes of symmetry of y = a/(x + p) + q?
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What is the effect of a change in parameter a on the graph of y = ab^x + q?
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What is the effect of a change in parameter p on the graph of y = ab^(x + p) + q?
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What is the domain of y = ab^(x + p) + q?
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What is the range of y = ab^(x + p) + q when a > 0?
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What is the horizontal asymptote of y = ab^(x + p) + q?
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What is the total area of the exposed or outer surfaces of a prism?
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How many rectangles are there in a rectangular prism unfolded into a net?
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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 cylinder?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a right cone?
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What happens to the surface area and volume when one or more dimensions of a prism or cylinder is multiplied by a constant factor?
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What is the formula for the volume of a square pyramid?
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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 formula for the surface area of a right prism?
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If we multiply all three dimensions of a rectangular prism by a constant factor k, what is the effect on the volume?
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What is the formula for the surface area of a sphere?
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If we multiply one dimension of a rectangular prism by a constant factor k, what is the effect on the volume?
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What is the formula for the volume of a triangular prism?
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If we multiply two dimensions of a rectangular prism by a constant factor k, what is the effect on the volume?
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What is the formula for the surface area of a right cone?
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If we multiply all three dimensions of a rectangular prism by a constant factor k, what is the effect on the surface area?
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What is the formula for the volume of a cylinder?
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What is the formula for the surface area of a triangular pyramid?
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In a cyclic quadrilateral, what can be said about the opposite angles?
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What is the relationship between the exterior angle of a cyclic quadrilateral and the interior opposite angle?
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What is the tangent-chord theorem?
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What can be said about two tangents drawn from the same point outside a circle?
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What is the angle at the center of a circle when subtended by a chord?
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What is the relationship between equal chords of a circle?
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What is the relationship between a diameter and the circle?
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When a line segment subtends equal angles on the same side, what can be said about the four points?
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Which equation form is used when the gradient and a point on the line are known?
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What is the value of y when x = 0 in the equation y = mx + c?
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Which equation form is also known as the standard form of the straight line equation?
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What is the name of the form derived from the definition of gradient and the two-point form?
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What information is required to use the gradient-point form of a straight line equation?
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What is the relationship between the gradient and the y-intercept of a line in the equation y = mx + c?
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What is the equation of the line that passes through two points (x_1, y_1) and (x_2, y_2)?
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What is the advantage of using the gradient-intercept form of a straight line equation?
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What is the relationship between the gradient of a line and the angle of inclination?
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What is the condition for two lines to be parallel?
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What is the equation form used when given a gradient and a point on a line?
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What is the angle of inclination for a vertical line?
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What is the formula for the gradient of a line?
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What is the significance of the y-intercept in the equation of a line?
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What is the formula for finding the equation of a line parallel to a given line and passing through a specific point?
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What is the characteristic of a line with a negative gradient?
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What is the relationship between the gradient and the inclination of a line for obtuse angles?
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What is the purpose of the point-slope form of a line?
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What is the condition for two lines to be perpendicular?
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Given a line with equation y = mx + c, what does the gradient m represent?
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What is the effect of a positive value of q on the graph of y = ax^2 + q?
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What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?
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What is the range of the function f(x) = ax^2 + q when a < 0?
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What is the effect of a negative value of p on the graph of y = a(x + p)^2 + q?
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What is the characteristic of the graph of y = ax^2 + q when a > 0?
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What is the effect of a on the shape of the graph of y = ax^2 + q?
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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
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What is the domain of the function f(x) = ax^2 + q?
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What is the effect of p on the graph of y = a/(x + p) + q?
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What is the domain of the function y = a/(x + p) + q?
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What is the horizontal asymptote of the function y = a/(x + p) + q?
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What are the axes of symmetry of the hyperbola y = a/(x + p) + q?
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What is the effect of q on the graph of y = ab^x + q?
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What is the effect of a on the graph of y = ab^x + q?
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What is the turning point of the function f(x) = a(x + p)^2 + q?
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What is the range of the function y = ab^x + q when a > 0?
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What is the effect of p on the graph of y = ab^(x + p) + q?
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If a < 0, what is the range of the function f(x) = ax^2 + q?
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How do you find the y-intercept of a quadratic function?
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What is the domain of the function y = ab^(x + p) + q?
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What is the axis of symmetry of the function f(x) = a(x + p)^2 + q?
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What is the horizontal asymptote of the function y = ab^(x + p) + q?
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What is the effect of p on the graph of y = a(x + p)^2 + q?
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What is the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
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What is the effect of a > 0 on the graph of y = ax^2 + q?
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What is the effect of q on the graph of a hyperbolic function?
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What is the general form of a hyperbolic function?
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What is the vertical asymptote of a hyperbolic function?
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What is the amplitude of the function y = sinθ?
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What is the effect of a on the amplitude of the function y = acosθ?
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What is the period of the function y = sin(kθ)?
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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 x-intercept of the function y = cosθ?
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What is the range of the function y = cos(kθ)?
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What is the effect of q on the graph of y = acosθ + q?
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What is the maximum value of the function y = cosθ?
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What is the y-intercept of the function y = sinθ?
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What is the domain of the function y = coskθ?
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In a cyclic quadrilateral, what is the relationship between the opposite angles?
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What is the angle between a tangent to a circle and a chord drawn from the point of contact equal to?
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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 rectangular prism are multiplied by a factor k, what is the effect on the volume?
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What is the length of two tangents drawn from the same point outside a circle?
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What is the formula for the volume of a triangular prism?
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What is the angle at the center of a circle when subtended by a chord?
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What can be said about the angles on a circle subtended by the same arc?
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What is the formula for the surface area of a sphere?
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What is the characteristic of a diameter in a circle?
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What is the effect on the surface area of a rectangular prism if its dimensions are multiplied by a factor k?
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What is the formula for the volume of a cylinder?
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What can be said about the perpendicular bisector of a chord?
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What is the relationship between equal chords in a circle?
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What is the formula for the area of a circle?
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What is the formula for the volume of a cone?
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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 sphere?
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What is the total area of the exposed or outer surfaces of a prism?
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What is the formula to calculate the volume of a triangular prism?
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What is the surface area of a sphere?
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What is the formula to calculate the volume of a right cone?
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What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?
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What is the formula to calculate the surface area of a rectangular prism?
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What is the formula to calculate the volume of a cube?
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What is the formula to calculate the surface area of a triangular pyramid?
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What is the formula to calculate the volume of a sphere?
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What is the formula to calculate the surface area of a right cone?
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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 shape of the function y = a tan(θ)?
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What is the y-intercept of the function y = tan(θ)?
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What is the effect of p on the graph of the function y = tan(θ + p)?
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What is the domain of the function y = tan(kθ)?
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What is the formula for the area of a trapezium?
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What is the formula for the area of a circle?
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What is the formula for the circumference of a circle?
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What is the definition of a right prism?
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What is the characteristic of parallel lines?
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What is the primary purpose of the gradient-point form of a straight line equation?
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Given a line with a gradient of 3 and passing through the point (2, 5), what is the equation of the line in gradient-intercept form?
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What is the relationship between the gradient and y-intercept of a line in gradient-intercept form?
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Given two points (3, 4) and (5, 6), what is the equation of the line passing through these points in two-point form?
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What is the primary advantage of using the gradient-intercept form of a straight line equation?
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What is the equation of the line passing through the point (2, 3) with a gradient of -2?
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What is the relationship between the gradient of a line and its steepness?
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Given a line with a gradient of 1/2 and passing through the point (4, 3), what is the equation of the line in gradient-intercept form?
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What is the relationship between the gradient and the inclination of a line?
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What is the inclination of a line with a gradient of -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 (1, 4)?
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What is the characteristic of parallel lines?
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What is the angle of inclination of a vertical line?
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What is the relationship between the gradient and the y-intercept of a line?
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What is the effect of a negative gradient on the angle of inclination?
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What is the purpose of the point-slope form of a line?
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What is the range of the function f(x) = a(x+p)^2 + q if a < 0?
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What is the effect of shifting the graph of y = a(x+p)^2 + q m units to the left?
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What is the relationship between the gradient and the inclination of a horizontal line?
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What is the condition for two lines to be parallel?
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What is the axis of symmetry of the graph of f(x) = a(x+p)^2 + q?
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What is the formula to find the average gradient of a curve between two points A(x_A, y_A) and C(x_C, y_C)?
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What is the relationship between the gradients of two lines that are perpendicular to each other?
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What is the effect of q on the graph of a hyperbolic function y = a/x + q?
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What is the effect of a on the shape of a hyperbolic function y = a/x + q if a > 1?
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What is the effect of p on the graph of y = a(x + p)^2 + q?
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What is the vertical asymptote of a hyperbolic function y = a/x + q?
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What is the characteristic of a quadratic function with a > 0?
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What is the effect of q on the graph of y = ax^2 + q?
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What is the average gradient of a curve between points A(a, g(a)) and Q(a + h, g(a + h))?
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What is the axis of symmetry of the graph of y = a(x + p)^2 + q?
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What is the effect of h on the average gradient formula?
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What is the general form of a hyperbolic function?
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What is the range of a quadratic function with a < 0?
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What is the relationship between the gradient of a line and its inclination?
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What is the effect of a on the shape of the graph of y = ax^2 + q?
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What is the domain of the function f(x) = ax^2 + q?
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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
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What is the effect of p on the graph of y = a/(x+p) + q?
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What is the range of the function y = a/(x+p) + q?
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What is the vertical asymptote of the function y = a/(x+p) + q?
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What is the axes of symmetry of the function y = a/(x+p) + q?
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What is the effect of q on the graph of y = ab^x + q?
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What is the range of the function y = ab^(x+p) + q?
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What is the effect of p on the graph of y = ab^(x+p) + q?
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What is the domain of the function y = ab^(x+p) + q?
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What is the effect of a on the shape of the function y = ab^(x+p) + q?
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What is the horizontal asymptote of the function y = ab^(x+p) + q?
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What is the relationship between the interior opposite angle and the exterior angle of a cyclic quadrilateral?
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What is the angle between a tangent to a circle and a chord drawn from the point of contact?
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What is the relationship between two tangents drawn from the same point outside a circle?
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What is the angle subtended by a diameter at the circumference of a circle?
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What is the relationship between the angles subtended by the same arc at the center and on the circle?
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What is the condition for a line segment to be a perpendicular bisector of a chord?
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What is the relationship between the length of two tangents drawn from the same point to a circle?
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What is the angle at the center of a circle subtended by an arc?
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What is the effect of a on the graph of y = a sin(θ) + q?
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What is the period of the function y = sin(2θ)?
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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 maximum value of the function y = cos(θ)?
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What is the range of the function y = a cos(kθ)?
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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 = sin(θ) for 0° ≤ θ ≤ 360°?
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What is the y-intercept of the function y = cos(θ) for 0° ≤ θ ≤ 360°?
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What is the domain of the function y = sin(kθ)?
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What is the effect of a on the graph of y = a cos(θ) + q?
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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 = tan(kθ)?
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What is the effect of a on the graph of y = a tan(θ)?
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What is the effect of p on the graph of y = tan(θ + p)?
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What is the formula for the area of a trapezium?
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What is the formula for the area of a circle?
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What is the formula for the circumference of a circle?
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What is the definition of a right prism?
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What is the characteristic of a right prism?
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What is the formula for the area of a triangle?
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What is the surface area of a triangular prism unfolded into a net?
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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 right cone?
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What is the volume of a sphere?
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What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?
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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 triangular pyramid?
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What is the formula for the surface area of a sphere?
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What is the formula for the volume of a right cone?
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What is the surface area of a rectangular prism unfolded into a net?
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If a rectangular prism has a length of 6 cm, a breadth of 4 cm, and a height of 3 cm, and its dimensions are multiplied by a factor of 2, what will be its new surface area?
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What is the effect of multiplying the dimensions of a rectangular prism by a factor of k on its volume?
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If a sphere has a radius of 4 cm, what is its surface area?
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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 effect of multiplying the dimensions of a rectangular prism by a factor of k on its surface area?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a right cylinder?
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What is the effect of multiplying the dimensions of a rectangular prism by a factor of k on its volume and surface area?
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What is the formula for the surface area of a square pyramid?
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What is the primary difference between the two-point form and the gradient-point form of a straight line equation?
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Which of the following statements is true about the gradient-intercept form of a straight line equation?
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What is the condition for two lines to be perpendicular?
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What is the main advantage of using the gradient-intercept form of a straight line equation?
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What is the effect of a on the graph of y = ax^2 + q?
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What is the relationship between the gradient of a line and the y-intercept of a line?
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What is the equation of the axis of symmetry of the graph of y = a(x + p)^2 + q?
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What is the range of the function f(x) = ax^2 + q when a > 0?
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What is the equation of the line that passes through the points (2, 3) and (4, 5)?
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What is the gradient of the line that passes through the points (1, 2) and (3, 4)?
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What is the effect of p on the graph of y = a(x + p)^2 + q?
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What is the condition for the graph of y = ax^2 + q to be a 'frown'?
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What is the y-intercept of the line that passes through the point (2, 3) with a gradient of 2?
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What is the equation of the line that passes through the point (1, 2) with a gradient of 1/2?
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What happens to the graph of y = ax^2 + q when a = 0?
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What is the relationship between the gradient of a line and its inclination?
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What is the range of a quadratic function when a < 0?
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What is the condition for two lines to be parallel?
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What is the turning point of the quadratic function f(x) = a(x + p)^2 + q?
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What is the equation of a line that is parallel to a given line and passes through a specific point?
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How do you shift the graph of a quadratic function m units to the right?
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What is the inclination of a line with a gradient of -1?
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What is the characteristic of a vertical line?
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What is the relationship between the gradient of a line and its y-intercept?
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What is the equation form used to find the equation of a line that is parallel to a given line and passes through a specific point?
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What is the inclination of a horizontal line?
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What is the tangent of the angle of inclination for a line with a gradient of 0.5?
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What is the relationship between the gradient of a line and its inclination for obtuse angles?
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If the quadratic function f(x) = ax^2 + q has a range of {y : y ≤ q, y ∈ ℝ}, what is the sign of a?
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What is the x-coordinate of the turning point of the quadratic function f(x) = a(x + p)^2 + q?
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If the graph of a quadratic function is shifted horizontally by 2 units to the right, what is the new equation of the function?
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What is the equation of the axis of symmetry of the quadratic function f(x) = a(x + p)^2 + q?
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What is the effect of q on the graph of the quadratic function f(x) = ax^2 + q?
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What is the average gradient of the curve between two points A(x_A, y_A) and C(x_C, y_C)?
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What is the effect of a on the shape of the hyperbolic function f(x) = a/x + q?
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What is the vertical asymptote of the hyperbolic function f(x) = a/x + q?
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What is the equation of the hyperbolic function that has a horizontal asymptote at y = 2 and a vertical asymptote at x = 0?
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What is the effect of q on the graph of the hyperbolic function f(x) = a/x + q?
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What is the effect of a on the graph of y = \frac{a}{x + p} + q?
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What is the equation of the vertical asymptote of the graph of y = \frac{a}{x + p} + q?
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What is the effect of p on the graph of y = ab^{x + p} + q?
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What is the range of the function y = ab^{x + p} + q when a > 0?
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What is the axes of symmetry of the graph of y = \frac{a}{x + p} + q?
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What is the effect of q on the graph of y = ab^{x + p} + q?
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What is the domain of the function y = \frac{a}{x + p} + q?
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What is the equation of the horizontal asymptote of the graph of y = ab^{x + p} + q?
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What is the effect of a on the shape of the graph of y = ab^{x + p} + q?
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What is the characteristic of the graph of y = \frac{a}{x + p} + q?
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What is the domain of the function y = sin(kθ)?
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What is the effect of a < 0 on the graph of y = a sin(θ)?
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What is the period of the function y = cos(2θ)?
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What is the x-intercept of the function y = sin(θ)?
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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 range of the function y = a sin(θ)?
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What is the maximum value of the function y = cos(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 minimum value of the function y = a cos(θ)?
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What is the y-intercept of the function y = cos(θ)?
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What is the formula to calculate the surface area of a triangular prism?
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What is the formula to calculate the volume of a cylinder?
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What is the formula to calculate the surface area of a right cone?
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What is the formula to calculate the volume of a sphere?
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What happens to the surface area and volume of a rectangular prism when one of its dimensions is multiplied by a constant factor?
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What is the formula to calculate the surface area of a square pyramid?
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What is the formula to calculate the volume of a triangular pyramid?
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What is the formula to calculate the surface area of a cylinder?
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What is the formula to calculate the volume of a square pyramid?
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What is the formula to calculate the surface area of a sphere?
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What is the relationship between the opposite angles of a cyclic quadrilateral?
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If a tangent is drawn to a circle at a point, what is the angle between the tangent and the chord drawn from the point of contact?
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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 relationship between the angle at the center of a circle and the angle subtended by the same arc?
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What is the relationship between the chords of a circle that subtend equal angles at the center?
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What is the relationship between the angles subtended by the same arc on the same side of a circle?
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What is the characteristic of a diameter of a circle?
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What is the period of the function y = tan(2θ)?
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What is the condition for four points to be cyclic?
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What is the effect of a on the graph of y = a tan(θ)?
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What is the domain of one branch of the function y = tan(kθ)?
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What is the range of the function y = tan(θ)?
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What is the effect of p on the graph of y = tan(θ + p)?
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What is the area of a polygon with a base of 5 units and a height of 6 units?
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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 prism?
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What is the formula for the area of a trapezium?
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What is the characteristic of a cylinder?
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If a rectangular prism has dimensions of length 8, breadth 6, and height 4, what is the volume of the prism if all its dimensions are multiplied by a factor of 2?
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What is the surface area of a sphere with a radius of 4 cm?
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A rectangular prism has dimensions of length 10, breadth 8, and height 6. If the length and breadth are multiplied by a factor of 3, what is the surface area of the new prism?
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What is the volume of a cone with a radius of 3 cm and a height of 6 cm?
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If the dimensions of a rectangular prism are multiplied by a factor of 4, what is the scale factor of the surface area?
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What is the surface area of a triangular prism with base dimensions of 5 cm and 6 cm, and a height of 8 cm?
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If the radius of a sphere is doubled, what is the scale factor of the surface area?
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What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?
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A triangular pyramid has a base area of 20 cm² and a height of 8 cm. What is the volume of the pyramid?
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What is the scale factor of the volume of a rectangular prism when its dimensions are multiplied by a factor of 3?
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