Gr 11 Math June P2 (Easy)
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Questions and Answers

What is the equation of the line in the two-point form?

  • y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1 (correct)
  • y = mx_1 + y_1
  • y = mx + c
  • y - y_1 = m(x - x_1)

What is the equation of the line in the gradient-point form?

  • y = mx_1 + y_1
  • y - y_1 = x - x_1
  • y - y_1 = m(x - x_1) (correct)
  • y = mx + c

What is the equation of the line in the gradient-intercept form?

  • y - y_1 = m(x - x_1)
  • y = mx + c (correct)
  • y = mx_1 + y_1
  • y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

When is the two-point form of the straight line equation used?

<p>When two points on the line are known (B)</p> Signup and view all the answers

What is the value of c in the gradient-intercept form?

<p>y_1 - mx_1 (A)</p> Signup and view all the answers

What is the relationship between the gradient and the two-point form?

<p>m = (y_2 - y_1) / (x_2 - x_1) (C)</p> Signup and view all the answers

What is the value of y when x = 0 in the gradient-intercept form?

<p>c (D)</p> Signup and view all the answers

What is the name of the equation y = mx + c?

<p>Standard Form (C), Gradient-Intercept Form (D)</p> Signup and view all the answers

What is the quotient identity in trigonometry?

<p>tan θ = sin θ / cos θ (A)</p> Signup and view all the answers

What is the value of sin² θ + cos² θ?

<p>1 (D)</p> Signup and view all the answers

What is the value of cos² θ in terms of sin θ?

<p>1 - sin² θ (C)</p> Signup and view all the answers

What is the value of sin(180° - θ) in terms of θ?

<p>sin θ (D)</p> Signup and view all the answers

What is the value of cos(180° - θ) in terms of θ?

<p>-cos θ (C)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of θ?

<p>-tan θ (D)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>sin θ (C)</p> Signup and view all the answers

Why are the function values of 180° ± θ derived separately?

<p>Because the points are symmetrical about the y-axis (B)</p> Signup and view all the answers

What is the measure of the steepness of a line?

<p>Gradient (m) (D)</p> Signup and view all the answers

Which form is used when the gradient and the y-intercept are known?

<p>Gradient–Intercept Form (C)</p> Signup and view all the answers

What is the angle formed by a line with the positive x-axis?

<p>Inclination (θ) (D)</p> Signup and view all the answers

What is the relationship between the gradient and inclination of a line?

<p>m = tan(θ) (B)</p> Signup and view all the answers

What is the gradient of a vertical line?

<p>Undefined (C)</p> Signup and view all the answers

What is the angle of inclination for a horizontal line?

<p>0° (D)</p> Signup and view all the answers

How do you find the equation of a line that is parallel to a given line and passes through a specific point?

<p>Use the point-slope form with the given point and the gradient of the given line (C)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>m1 = m2 (A)</p> Signup and view all the answers

What is the relationship between the gradient and inclination of a line for obtuse angles?

<p>m = tan(θ) (D)</p> Signup and view all the answers

What is the formula to adjust the angle of inclination for a line with a negative gradient?

<p>θ = 180° + tan^(-1)(m) (D)</p> Signup and view all the answers

What is the condition for two lines to be perpendicular?

<p>Their gradients multiply to -1. (C)</p> Signup and view all the answers

What is the quotient identity for tangent in terms of sine and cosine?

<p>tan θ = sin θ / cos θ (D)</p> Signup and view all the answers

What is the shape of the base of a cylinder when it is unfolded into a net?

<p>Two identical circles (B)</p> Signup and view all the answers

What is the square identity, also known as the Pythagorean identity?

<p>sin² θ + cos² θ = 1 (C)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2 × b × h × H (B)</p> Signup and view all the answers

What should you do when proving trigonometric identities?

<p>Change all trigonometric ratios to sine and cosine, and then simplify both sides of the equation. (C)</p> Signup and view all the answers

What should you do when finding the equation of a perpendicular line?

<p>Identify the gradient of the given line, calculate the perpendicular gradient, and use the point-slope form. (D)</p> Signup and view all the answers

What is the surface area of a sphere?

<p>4πr^2 (C)</p> Signup and view all the answers

Why is tan θ undefined when cos θ = 0?

<p>Because the cosine function is zero, making the tangent function undefined. (C)</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>1/3 × πr^2 × H (D)</p> Signup and view all the answers

What is the shape of a triangular prism when it is unfolded into a net?

<p>Two triangles and three rectangles (D)</p> Signup and view all the answers

What is the purpose of trigonometric identities?

<p>To simplify a given expression so that it contains only sine and cosine ratios. (A)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (D)</p> Signup and view all the answers

What should you do when a square root sign appears in a trigonometric identity?

<p>Use the square identity to simplify the expression. (A)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>They have the same gradient but different y-intercepts. (B)</p> Signup and view all the answers

What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?

<p>They change according to the relationships between the original and new dimensions (C)</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>1/2 × b(hb + 3hs) (D)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3 × πr^3 (D)</p> Signup and view all the answers

What is the shape of a cube when it is unfolded into a net?

<p>Six identical squares (C)</p> Signup and view all the answers

What is the primary purpose of reduction formulae and co-function rules in trigonometry?

<p>To express trigonometric functions in terms of acute angles (B)</p> Signup and view all the answers

When solving trigonometric equations, what is the first step?

<p>Use a calculator to find the reference angle (C)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>Area = 1/2 × b × h (B)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>Circumference = 2 × π × r (B)</p> Signup and view all the answers

What is the purpose of the CAST diagram in trigonometry?

<p>To determine the quadrants where the trigonometric function is positive or negative (B)</p> Signup and view all the answers

What is the formula for the area of a parallelogram?

<p>Area = b × h (D)</p> Signup and view all the answers

What is the definition of a right prism?

<p>A geometric solid with a polygon as its base and vertical sides perpendicular to the base (A)</p> Signup and view all the answers

How do you calculate the surface area of a prism?

<p>By calculating the area of each face and adding them together (D)</p> Signup and view all the answers

What is the purpose of finding the general solution in trigonometry?

<p>To find all possible values of the angle that satisfy the equation (A)</p> Signup and view all the answers

What is the formula for the area of a square?

<p>Area = s^2 (A)</p> Signup and view all the answers

What are the coordinates of P' if points P and P' are symmetrical about the origin and P is ($\sqrt{3}$, 1)?

<p>(-$\sqrt{3}$, -1) (A)</p> Signup and view all the answers

What is the value of sin(180° + θ)?

<p>-sin θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?

<p>(x, -y) (D)</p> Signup and view all the answers

What is the value of cos(360° - θ)?

<p>cos θ (B)</p> Signup and view all the answers

What is the value of tan(-θ)?

<p>-tan θ (C)</p> Signup and view all the answers

What is the value of sin(90° - θ)?

<p>cos θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the line y = x, what are the coordinates of P'?

<p>(y, x) (C)</p> Signup and view all the answers

What is the value of cos(90° + θ)?

<p>-sin θ (B)</p> Signup and view all the answers

What is the value of sin(360° + θ)?

<p>sin θ (A)</p> Signup and view all the answers

What is the value of cos(180° + θ)?

<p>-cos θ (D)</p> Signup and view all the answers

What is the domain of the function y = tan kθ?

<p>{θ : -90°/k &lt; θ &lt; 90°/k, θ ∈ ℝ} (B)</p> Signup and view all the answers

What is the range of the function y = tan kθ?

<p>(-∞, ∞) (A)</p> Signup and view all the answers

What is the x-intercept of the function y = tan kθ?

<p>(0°, 0) (C)</p> Signup and view all the answers

What is the effect of p > 0 on the graph of y = tan(θ + p)?

<p>The graph shifts to the left by p. (C)</p> Signup and view all the answers

What is the asymptote of the function y = tan kθ?

<p>θ = -90°/k (C), θ = 90°/k (D)</p> Signup and view all the answers

What is the y-intercept of the function y = tan kθ?

<p>(0°, 0) (D)</p> Signup and view all the answers

What is the formula for the surface area of a rectangular prism?

<p>2[(l × h) + (l × b) + (b × h)] (D)</p> Signup and view all the answers

What happens to the volume of a rectangular prism if its dimensions are multiplied by a factor k?

<p>It is multiplied by k^3 (B)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3πr^3 (D)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>1/2(b × h) (C)</p> Signup and view all the answers

What is the formula for the surface area of a right cone?

<p>πr(r + h) (C)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>2πr (B)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>πr^2 (B)</p> Signup and view all the answers

If an arc subtends an angle at the center of a circle and at the circumference, what is the relationship between the two angles?

<p>The angle at the center is twice the angle at the circumference (B)</p> Signup and view all the answers

What is the definition of a tangent to a circle?

<p>A straight line that touches the circle at only one point on the circumference (A)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (B)</p> Signup and view all the answers

What is the relationship between opposite angles of a cyclic quadrilateral?

<p>They are supplementary (D)</p> Signup and view all the answers

What is the angle between a tangent to a circle and a chord drawn from the point of contact?

<p>The angle is equal to the angle subtended by the chord in the alternate segment (B)</p> Signup and view all the answers

What is the length of two tangents drawn from the same point outside a circle?

<p>They are equal in length (C)</p> Signup and view all the answers

What is the name of the part of the circle cut off by a chord?

<p>Segment (B)</p> Signup and view all the answers

What is the angle at the center of a circle subtended by an arc?

<p>Twice the angle on the circle subtended by the same arc (A)</p> Signup and view all the answers

What is the period of the sine function?

<p>360° (A)</p> Signup and view all the answers

What is the effect of q on the graph of y = a sin θ + q?

<p>It shifts the graph vertically (A)</p> Signup and view all the answers

What is the effect of k on the period of the function y = sin kθ?

<p>The period is calculated as 360°/k (D)</p> Signup and view all the answers

What is the effect of p on the graph of y = sin(θ + p)?

<p>It shifts the graph horizontally (D)</p> Signup and view all the answers

What is the range of the sine function?

<p>[-1, 1] (A)</p> Signup and view all the answers

What is the period of the function y = cos θ?

<p>360° (D)</p> Signup and view all the answers

What is the effect of q on the graph of y = a cos θ + q?

<p>Vertical shift (D)</p> Signup and view all the answers

What is the amplitude of the function y = a cos θ?

<p>|a| (C)</p> Signup and view all the answers

What is the effect of k on the period of the function y = cos kθ?

<p>The period decreases (B)</p> Signup and view all the answers

What is the domain of the function y = tan θ?

<p>{θ : θ ∈ ℝ, θ ≠ 90°, 270°} (B)</p> Signup and view all the answers

What is the period of the function y = tan θ?

<p>180° (B)</p> Signup and view all the answers

What is the effect of a on the graph of y = a tan θ + q?

<p>Steeper branches (D)</p> Signup and view all the answers

What is the effect of k on the period of the function y = tan kθ?

<p>The period decreases (A)</p> Signup and view all the answers

What is the range of the function y = cos θ?

<p>[-1, 1] (B)</p> Signup and view all the answers

What is the effect of p on the graph of y = cos(θ + p)?

<p>Horizontal shift to the right (B)</p> Signup and view all the answers

Which form of the straight line equation is used when two points on the line are known?

<p>Two-Point Form (A)</p> Signup and view all the answers

What is the value of y when x = 0 in the equation y = mx + c?

<p>c (C)</p> Signup and view all the answers

What is the definition of the constant c in the gradient–intercept form of the straight line equation?

<p>The y-intercept of the line (D)</p> Signup and view all the answers

Which of the following is a characteristic of the gradient–intercept form of the straight line equation?

<p>It is used when the gradient and y-intercept are known (B)</p> Signup and view all the answers

What is the purpose of the gradient–point form of the straight line equation?

<p>To find the equation of a line when the gradient and one point are known (A)</p> Signup and view all the answers

Which of the following forms of the straight line equation requires the knowledge of the gradient and one point on the line?

<p>Gradient–Point Form (A)</p> Signup and view all the answers

What is the relationship between the gradient and the y-intercept in the gradient–intercept form of the straight line equation?

<p>The y-intercept is independent of the gradient (C)</p> Signup and view all the answers

Which form of the straight line equation is also known as the standard form?

<p>y = mx + c (B)</p> Signup and view all the answers

What is the fundamental identity that relates the tangent function to the sine and cosine functions?

<p>tan θ = sin θ / cos θ (A)</p> Signup and view all the answers

What is the value of sin² θ + cos² θ?

<p>1 (D)</p> Signup and view all the answers

What is the value of cos² θ in terms of sin θ?

<p>1 - sin² θ (A)</p> Signup and view all the answers

What is the value of sin(180° - θ) in terms of θ?

<p>sin θ (D)</p> Signup and view all the answers

What is the relationship between the gradient and the angle of inclination for a line?

<p>m = tan(θ) (B)</p> Signup and view all the answers

What is the value of cos(180° - θ) in terms of θ?

<p>-cos θ (D)</p> Signup and view all the answers

What is the inclination of a vertical line?

<p>Undefined (B)</p> Signup and view all the answers

What is the formula to adjust the angle of inclination for a line with a negative gradient?

<p>θ = 180° + tan⁻¹(m) (A)</p> Signup and view all the answers

What is the value of tan(180° - θ) in terms of θ?

<p>-tan θ (D)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>m₁ = m₂ (B)</p> Signup and view all the answers

What is the purpose of reduction formulae in trigonometry?

<p>To derive function values of 180° ± θ (D)</p> Signup and view all the answers

Why are the function values of 180° ± θ derived separately?

<p>Because they have different values (B)</p> Signup and view all the answers

What is the equation of a line that is parallel to a given line with gradient m and passes through a specific point (x₁, y₁)?

<p>y - y₁ = m(x - x₁) (A)</p> Signup and view all the answers

What is the value of tan(θ) for an acute angle?

<p>Positive (C)</p> Signup and view all the answers

What is the value of tan(θ) for an obtuse angle?

<p>Negative (C)</p> Signup and view all the answers

What is the gradient of a horizontal line?

<p>0 (B)</p> Signup and view all the answers

What is the condition for two lines to be perpendicular?

<p>They have gradients that multiply to -1 (C)</p> Signup and view all the answers

What is the purpose of trigonometric identities?

<p>To simplify trigonometric expressions and solve equations (A)</p> Signup and view all the answers

What is the angle of inclination for a horizontal line?

<p>0° (B)</p> Signup and view all the answers

What is the equation of a line that is perpendicular to a given line with gradient m and passes through a point (x1, y1)?

<p>y - y1 = (-1/m)(x - x1) (C)</p> Signup and view all the answers

What is the relationship between the gradient and inclination of a line for obtuse angles?

<p>m = -tan(θ) (D)</p> Signup and view all the answers

What is the value of sin² θ + cos² θ?

<p>1 (D)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>-sin θ (B)</p> Signup and view all the answers

Why is tan θ undefined when cos θ = 0?

<p>Because the tangent function is undefined when the cosine is zero (B)</p> Signup and view all the answers

What is the gradient of a line that is perpendicular to a line with gradient m?

<p>-1/m (B)</p> Signup and view all the answers

What is the value of cos(360° - θ) in terms of θ?

<p>cos θ (A)</p> Signup and view all the answers

What is the quotient identity in trigonometry?

<p>tan θ = sin θ / cos θ (A)</p> Signup and view all the answers

What is the value of tan(90° + θ) in terms of θ?

<p>-tan θ (A)</p> Signup and view all the answers

If points P and P' are symmetrical about the origin, what are the coordinates of P'?

<p>(-x, -y) (B)</p> Signup and view all the answers

What is the first step in proving trigonometric identities?

<p>Change all trigonometric ratios to sine and cosine (A)</p> Signup and view all the answers

What is the relationship between the gradients of two perpendicular lines?

<p>They multiply to -1 (C)</p> Signup and view all the answers

What is the value of sin(90° - θ) in terms of θ?

<p>cos θ (C)</p> Signup and view all the answers

What is the value of cos(90° + θ) in terms of θ?

<p>-sin θ (B)</p> Signup and view all the answers

What is the purpose of the square identity?

<p>To simplify trigonometric expressions and solve equations (C)</p> Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?

<p>(x, -y) (B)</p> Signup and view all the answers

What is the value of sin(360° + θ) in terms of θ?

<p>sin θ (B)</p> Signup and view all the answers

What is the value of tan(-θ) in terms of θ?

<p>-tan θ (B)</p> Signup and view all the answers

What is the value of cos(-θ) in terms of θ?

<p>cos θ (B)</p> Signup and view all the answers

What is the domain of one branch of the function y = tan kθ?

<p>θ ∈ ℝ, θ ≠ -90°/k and θ ≠ 90°/k (B)</p> Signup and view all the answers

What is the range of the function y = tan kθ?

<p>(-∞, ∞) (C)</p> Signup and view all the answers

What is the y-intercept of the function y = tan kθ?

<p>(0°, 0) (A)</p> Signup and view all the answers

What happens to the graph of the tangent function when p > 0 in the function y = tan(θ + p)?

<p>The graph shifts to the left by p. (D)</p> Signup and view all the answers

What is the effect of p on the graph of the tangent function when p < 0 in the function y = tan(θ + p)?

<p>The graph shifts to the right by p. (A)</p> Signup and view all the answers

What are the asymptotes of the function y = tan kθ?

<p>θ = -90°/k and θ = 90°/k (C)</p> Signup and view all the answers

What is the purpose of reduction formulae and co-function rules in trigonometry?

<p>To simplify and evaluate trigonometric expressions (D)</p> Signup and view all the answers

What is the first step when solving trigonometric equations?

<p>Use a calculator to find the reference angle (D)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>A = (1/2) b × h (C)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2π r (C)</p> Signup and view all the answers

What is the shape of a cylinder when it is unfolded into a net?

<p>A rectangle (B)</p> Signup and view all the answers

What is the purpose of the CAST diagram in trigonometry?

<p>To determine the quadrants of a trigonometric function (D)</p> Signup and view all the answers

How do you find the values of the angle when solving trigonometric equations?

<p>Use reduction formulae to find the values of the angle (C)</p> Signup and view all the answers

What is the shape of a right prism when it is unfolded into a net?

<p>A polygon (A)</p> Signup and view all the answers

What is the formula for the area of a square?

<p>A = s^2 (C)</p> Signup and view all the answers

What is the formula for the area of a trapezium?

<p>A = (1/2) (a + b) × h (A)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (D)</p> Signup and view all the answers

What is the shape of a cylinder when it is unfolded into a net?

<p>Two identical circles and a rectangle (B)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr² (A)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2 × b × h × H (A)</p> Signup and view all the answers

What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?

<p>The surface area and volume change according to the relationships between the original and new dimensions (B)</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>1/3 × πr² × H (A)</p> Signup and view all the answers

What is the shape of the base of a triangular prism when it is unfolded into a net?

<p>A triangle (C)</p> Signup and view all the answers

What is the formula for the surface area of a square pyramid?

<p>b² + 4bh_s (A)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3 × πr³ (B)</p> Signup and view all the answers

What is the shape of a cube when it is unfolded into a net?

<p>Six identical squares (B)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (D)</p> Signup and view all the answers

If a prism has a base area of 10 cm² and a height of 5 cm, what is its volume?

<p>50 cm³ (B)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4 × π × r² (B)</p> Signup and view all the answers

What happens to the volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor k?

<p>It scales by k³ (A)</p> Signup and view all the answers

What is the formula for the surface area of a rectangular prism?

<p>2 × (l × h) + (l × b) + (b × h) (B)</p> Signup and view all the answers

What is the formula for the volume of a cylinder?

<p>π × r² × h (B)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>π × r² (C)</p> Signup and view all the answers

What happens to the surface area of a prism or cylinder when one or more dimensions are multiplied by a constant factor k?

<p>It scales by k² (A)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2 × b × h × H (A)</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>1/2 × b × (h + h_s) (D)</p> Signup and view all the answers

What is true about the opposite angles of a cyclic quadrilateral?

<p>They are supplementary (B)</p> Signup and view all the answers

What is the angle between a tangent to a circle and a chord drawn from the point of contact?

<p>The angle which the chord subtends in the alternate segment (B)</p> Signup and view all the answers

What is true about two tangents drawn from the same point outside a circle?

<p>They are equal in length (A)</p> Signup and view all the answers

What is the period of the function y = sin θ?

<p>360° (C)</p> Signup and view all the answers

What is the effect of q on the graph of y = a sin θ + q?

<p>It shifts the graph vertically (B)</p> Signup and view all the answers

What is the effect of a on the graph of y = a sin θ?

<p>It changes the amplitude (D)</p> Signup and view all the answers

What is the effect of k on the period of the function y = sin kθ?

<p>It is calculated as 360°/k (D)</p> Signup and view all the answers

What is the effect of p on the graph of y = sin(θ + p)?

<p>It shifts the graph horizontally (C)</p> Signup and view all the answers

What is the range of the function y = sin θ?

<p>[-1, 1] (C)</p> Signup and view all the answers

What is the domain of the function y = sin kθ?

<p>All real numbers (B)</p> Signup and view all the answers

What is the period of the function y = cos θ?

<p>360° (D)</p> Signup and view all the answers

What is the effect of a on the shape of the function y = a cos θ?

<p>It increases the amplitude (B)</p> Signup and view all the answers

What is the y-intercept of the function y = cos θ?

<p>(0°, 1) (C)</p> Signup and view all the answers

What is the period of the function y = tan kθ?

<p>180°/k (D)</p> Signup and view all the answers

What is the effect of q on the graph of the function y = a tan θ + q?

<p>It shifts the graph vertically (C)</p> Signup and view all the answers

What is the domain of the function y = cos θ?

<p>{θ: 0° ≤ θ ≤ 360°} (D)</p> Signup and view all the answers

What is the effect of p on the graph of the function y = cos(θ + p)?

<p>It shifts the graph horizontally to the right (D)</p> Signup and view all the answers

What is the range of the function y = tan θ?

<p>{f(θ): f(θ) ∈ ℝ} (B)</p> Signup and view all the answers

What is the effect of a on the shape of the function y = a tan θ + q?

<p>It increases the steepness of the branches (C)</p> Signup and view all the answers

What is the period of the function y = cos kθ?

<p>360°/k (B)</p> Signup and view all the answers

What is the quotient identity in trigonometry?

<p>tan θ = sin θ / cos θ (C)</p> Signup and view all the answers

What is the value of cos² θ in terms of sin θ?

<p>1 - sin² θ (A)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>-sin θ (A)</p> Signup and view all the answers

Why are the function values of 180° ± θ derived separately?

<p>Because of the symmetry of the unit circle about the y-axis (B)</p> Signup and view all the answers

What is the purpose of reduction formulae in trigonometry?

<p>To simplify trigonometric functions with arguments of 180° ± θ (B)</p> Signup and view all the answers

What is the square identity, also known as the Pythagorean identity?

<p>sin² θ + cos² θ = 1 (C)</p> Signup and view all the answers

Why is tan θ undefined when cos θ = 0?

<p>Because the tangent function is undefined when the cosine function is zero (B)</p> Signup and view all the answers

What is the primary purpose of reduction formulae in trigonometry?

<p>To simplify trigonometric functions with arguments of 90° ± θ and 360° ± θ (A)</p> Signup and view all the answers

What is the purpose of the gradient-point form of a straight line equation?

<p>To find the equation of a line when the gradient and the coordinates of one point on the line are known. (D)</p> Signup and view all the answers

What is the value of c in the equation y = mx + c?

<p>The y-intercept of the line (B)</p> Signup and view all the answers

When is the two-point form of the straight line equation used?

<p>When two points on the line are known (B)</p> Signup and view all the answers

What is the name of the equation y = mx + c?

<p>The gradient-intercept form (A)</p> Signup and view all the answers

What is the gradient of a line that is parallel to a given line?

<p>The same as the gradient of the given line (C)</p> Signup and view all the answers

What is the purpose of the two-point form of a straight line equation?

<p>To find the equation of a line when two points on the line are known (B)</p> Signup and view all the answers

What is the relationship between the gradient and the y-intercept of a line?

<p>The gradient is the slope of the line and the y-intercept is the point where the line crosses the y-axis (B)</p> Signup and view all the answers

What is the difference between the gradient-point form and the gradient-intercept form?

<p>The gradient-point form is used when the gradient and the coordinates of one point on the line are known, while the gradient-intercept form is used when the gradient and the y-intercept are known (B)</p> Signup and view all the answers

What is the relationship between the gradient and the inclination of a line?

<p>m = tan(θ) (B)</p> Signup and view all the answers

What is the angle of inclination for a vertical line?

<p>Undefined (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the origin, what are the coordinates of P'?

<p>(-x, -y) (D)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>m1 = m2 (D)</p> Signup and view all the answers

What is the formula to adjust the angle of inclination for a line with a negative gradient?

<p>θ = 180° + tan^(-1)(m) (B)</p> Signup and view all the answers

What is the value of sin(180° - θ) in terms of θ?

<p>sin θ (B)</p> Signup and view all the answers

If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?

<p>(x, -y) (B)</p> Signup and view all the answers

What is the equation of a line that is parallel to a given line and passes through a specific point?

<p>y - y1 = m(x - x1) (C)</p> Signup and view all the answers

What is the relationship between the gradient and the inclination of a line for obtuse angles?

<p>m = tan(θ) (B)</p> Signup and view all the answers

What is the value of tan(180° + θ) in terms of θ?

<p>tan θ (A)</p> Signup and view all the answers

What is the value of cos(90° - θ) in terms of θ?

<p>sin θ (A)</p> Signup and view all the answers

What is the inclination of a horizontal line?

<p>0° (B)</p> Signup and view all the answers

What is the value of sin(360° + θ) in terms of θ?

<p>sin θ (C)</p> Signup and view all the answers

What is the measure of the steepness of a line?

<p>Gradient (C)</p> Signup and view all the answers

What is the value of cos(360° - θ) in terms of θ?

<p>cos θ (B)</p> Signup and view all the answers

What is the formula for the gradient of a line?

<p>m = Δy/Δx (B)</p> Signup and view all the answers

What is the value of sin(90° + θ) in terms of θ?

<p>cos θ (A)</p> Signup and view all the answers

What is the purpose of the trigonometric relationship between the gradient and inclination of a line?

<p>To find the inclination of a line (C)</p> Signup and view all the answers

What is the value of cos(90° + θ) in terms of θ?

<p>-sin θ (A)</p> Signup and view all the answers

What is the purpose of reduction formulae in trigonometry?

<p>To simplify trigonometric expressions (A)</p> Signup and view all the answers

What is the condition for two lines to be perpendicular?

<p>They have gradients that multiply to -1. (C)</p> Signup and view all the answers

What is the purpose of trigonometric identities?

<p>To simplify trigonometric expressions. (D)</p> Signup and view all the answers

What is the equation of a line that is perpendicular to a given line and passes through a specific point?

<p>y - y1 = m(x - x1) (B)</p> Signup and view all the answers

What is the value of tan θ in terms of sine and cosine?

<p>tan θ = sin θ / cos θ (B)</p> Signup and view all the answers

What is the square identity, also known as the Pythagorean identity?

<p>sin² θ + cos² θ = 1 (B)</p> Signup and view all the answers

What should you do when proving trigonometric identities?

<p>Change all trigonometric ratios to sine and cosine. (A)</p> Signup and view all the answers

What is the gradient of a line that is perpendicular to a line with gradient m?

<p>-1/m (C)</p> Signup and view all the answers

What is the equation of a line that is parallel to a given line and passes through a specific point?

<p>y = mx + c, where m is the same as the given line (B)</p> Signup and view all the answers

Why is tan θ undefined when cos θ = 0?

<p>Because the tangent function is undefined when the denominator is zero. (D)</p> Signup and view all the answers

What is the first step in finding the equation of a perpendicular line?

<p>Identify the gradient of the given line. (D)</p> Signup and view all the answers

What is the domain of one branch of the function y = tan kθ?

<p>{θ : -90°/k &lt; θ &lt; 90°/k, θ ∈ ℝ} (D)</p> Signup and view all the answers

What is the range of the function y = tan kθ?

<p>(-∞, ∞) (D)</p> Signup and view all the answers

What is the x-intercept of the graph of y = tan kθ?

<p>θ = 0° (B)</p> Signup and view all the answers

What is the y-intercept of the graph of y = tan kθ?

<p>(0°, 0) (D)</p> Signup and view all the answers

What happens to the graph of y = tan kθ when p > 0 is added to θ?

<p>The graph shifts to the left by p (C)</p> Signup and view all the answers

What happens to the graph of y = tan kθ when p < 0 is added to θ?

<p>The graph shifts to the right by p (D)</p> Signup and view all the answers

What is the purpose of reduction formulae and co-function rules in trigonometry?

<p>To simplify trigonometric expressions (D)</p> Signup and view all the answers

What is the first step when solving trigonometric equations?

<p>Use a calculator to find the reference angle (C)</p> Signup and view all the answers

What is the shape of the base of a cylinder when it is unfolded into a net?

<p>Two identical circles (B)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>A = (1/2) b × h (C)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (B)</p> Signup and view all the answers

What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?

<p>The surface area and volume change according to the relationships between the original and new dimensions (C)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2π r (B)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr² (D)</p> Signup and view all the answers

What is the shape of the base of a right prism when it is unfolded into a net?

<p>Polygon (B)</p> Signup and view all the answers

What is the purpose of the CAST diagram in trigonometry?

<p>To determine the quadrants where the trigonometric function is positive or negative (B)</p> Signup and view all the answers

What is the shape of a triangular prism when it is unfolded into a net?

<p>Two triangles and three rectangles (A)</p> Signup and view all the answers

How do you find the general solution of a trigonometric equation?

<p>Find the angles in the interval [0°; 360°] that satisfy the equation and add multiples of the period to each answer (C)</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>1/3 × πr² × H (B)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

<p>A = b × l (D)</p> Signup and view all the answers

What is the shape of a cube when it is unfolded into a net?

<p>Six identical squares (D)</p> Signup and view all the answers

What is the formula for the surface area of a prism?

<p>SA = Σ(area of each face) (C)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2 × b × h × H (B)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>A = π r^2 (A)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3 × πr³ (C)</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>b² + 3bh (D)</p> Signup and view all the answers

What is the effect on the volume of a rectangular prism when all three dimensions are multiplied by a factor k?

<p>It scales by k^3 (C)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr^2 (B)</p> Signup and view all the answers

What is the effect on the surface area of a rectangular prism when one dimension is multiplied by a factor k?

<p>It scales by k (D)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2bhH (A)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>πr^2 (C)</p> Signup and view all the answers

What is the effect on the volume of a rectangular prism when two dimensions are multiplied by a factor k?

<p>It scales by k^2 (C)</p> Signup and view all the answers

What is the formula for the area of a trapezium?

<p>1/2(a+b)h (B)</p> Signup and view all the answers

What is the formula for the surface area of a rectangular prism?

<p>2(lh + lb + bh) (D)</p> Signup and view all the answers

What is the effect on the surface area of a rectangular prism when all three dimensions are multiplied by a factor k?

<p>It scales by k^2 (C)</p> Signup and view all the answers

What is the formula for the volume of a cylinder?

<p>πr^2h (D)</p> Signup and view all the answers

What is the period of the function y = cos θ?

<p>360° (A)</p> Signup and view all the answers

What is the effect of q on the graph of y = a cos θ + q?

<p>Vertical shift (D)</p> Signup and view all the answers

What is the amplitude of the function y = cos θ?

<p>1 (D)</p> Signup and view all the answers

What is the angle between a tangent to a circle and a chord drawn from the point of contact?

<p>Equal to the angle which the chord subtends in the alternate segment (C)</p> Signup and view all the answers

What is the effect of a on the graph of y = a cos θ?

<p>Amplitude change (D)</p> Signup and view all the answers

What is the period of the sine function?

<p>360° (C)</p> Signup and view all the answers

What is the effect of q on the graph of y = a sin θ + q?

<p>Vertical shift (B)</p> Signup and view all the answers

What is the domain of the function y = cos kθ?

<p>{θ: θ ∈ ℝ} (C)</p> Signup and view all the answers

What is the period of the function y = tan θ?

<p>180° (A)</p> Signup and view all the answers

What is the range of the sine function?

<p>[-1, 1] (D)</p> Signup and view all the answers

What is the effect of k on the period of the function y = tan kθ?

<p>The period decreases (B)</p> Signup and view all the answers

What is the effect of a on the graph of y = a sin θ?

<p>Changes the amplitude (D)</p> Signup and view all the answers

What is the effect of k on the period of the function y = sin kθ?

<p>The period is calculated as 360° / |k| (B)</p> Signup and view all the answers

What is the effect of a on the shape of the graph of y = a tan θ?

<p>The branches of the graph are steeper (D)</p> Signup and view all the answers

What is the effect of p on the graph of y = cos(θ + p)?

<p>The graph is shifted horizontally to the left (A)</p> Signup and view all the answers

What is the angle at the center of a circle subtended by an arc?

<p>Twice the angle on the circle subtended by the same arc (B)</p> Signup and view all the answers

What is the perpendicular bisector of a chord?

<p>A line segment bisecting a chord and passing through the center of a circle (C)</p> Signup and view all the answers

What is the y-intercept of the function y = cos θ?

<p>(0°, 1) (A)</p> Signup and view all the answers

What is the effect of p on the graph of y = sin(θ + p)?

<p>Horizontal shift (A)</p> Signup and view all the answers

What is the diameter of a circle?

<p>The longest chord (A)</p> Signup and view all the answers

What is the value of tan(θ) in terms of sin(θ) and cos(θ)?

<p>sin(θ) / cos(θ) (D)</p> Signup and view all the answers

What is the value of sin²(θ) + cos²(θ)?

<p>1 (D)</p> Signup and view all the answers

What is the value of cos(180° - θ) in terms of θ?

<p>-cos(θ) (C)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>-sin(θ) (C)</p> Signup and view all the answers

Why are the function values of 180° ± θ derived separately?

<p>Because of the symmetry about the y-axis (B)</p> Signup and view all the answers

What is the purpose of the reduction formulae in trigonometry?

<p>To simplify trigonometric functions (C)</p> Signup and view all the answers

What is the value of sin²(θ) in terms of cos(θ)?

<p>1 - cos²(θ) (D)</p> Signup and view all the answers

What is the advantage of using the quotient identity in trigonometry?

<p>It relates tangent to sine and cosine (D)</p> Signup and view all the answers

What is the main difference between the two-point form and the gradient-point form of the straight line equation?

<p>One is used when two points are known and the other is used when the gradient and one point are known. (A)</p> Signup and view all the answers

What is the value of c in the gradient-intercept form of the straight line equation?

<p>The y-intercept of the line. (D)</p> Signup and view all the answers

What is the purpose of the gradient-point form of the straight line equation?

<p>To find the equation of a line when the gradient and one point are known. (B)</p> Signup and view all the answers

What is the relationship between the gradient and the y-intercept of a line in the gradient-intercept form?

<p>The gradient and y-intercept are independent of each other. (D)</p> Signup and view all the answers

What is the advantage of using the gradient-intercept form of the straight line equation?

<p>It is easier to find the y-intercept of the line. (C)</p> Signup and view all the answers

What is the formula for the gradient-point form of the straight line equation?

<p>y - y1 = m(x - x1) (C)</p> Signup and view all the answers

What is the main difference between the gradient-point form and the gradient-intercept form of the straight line equation?

<p>One is used when the gradient and one point are known, and the other is used when the gradient and the y-intercept are known. (B)</p> Signup and view all the answers

What is the formula for the two-point form of the straight line equation?

<p>(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1) (A)</p> Signup and view all the answers

What is the measure of the steepness of a line?

<p>Gradient (C)</p> Signup and view all the answers

Which of the following is true for obtuse angles?

<p>tan θ is negative (A)</p> Signup and view all the answers

What is the special case for the angle of inclination of a horizontal line?

<p>θ = 0° (D)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>m₁ = m₂ (B)</p> Signup and view all the answers

What is the formula to adjust the angle of inclination for a line with a negative gradient?

<p>θ = 180° + tan⁻¹(m) (B)</p> Signup and view all the answers

What is the relationship between the gradient and inclination of a line?

<p>m = tan(θ) (A)</p> Signup and view all the answers

What is the special case for the gradient of a vertical line?

<p>m is undefined (D)</p> Signup and view all the answers

What is the formula to find the equation of a line that is parallel to a given line and passes through a specific point?

<p>y - y₁ = m(x - x₁) (C)</p> Signup and view all the answers

What is the relationship between the gradient and inclination of a line for acute angles?

<p>m = tan(θ) (A)</p> Signup and view all the answers

What is the name of the equation that represents the relationship between the gradient and inclination of a line?

<p>Trigonometric relationship (C)</p> Signup and view all the answers

What is the condition for two lines to be perpendicular?

<p>Their gradients multiply to -1. (B)</p> Signup and view all the answers

What is the formula for the quotient identity of tangent in terms of sine and cosine?

<p>tan(θ) = sin(θ) / cos(θ) (C)</p> Signup and view all the answers

What is the purpose of using the point-slope form of a line when finding the equation of a perpendicular line?

<p>To use the gradient and a point to find the equation of the perpendicular line. (A)</p> Signup and view all the answers

What is the square identity, also known as the Pythagorean identity?

<p>sin²(θ) + cos²(θ) = 1 (C)</p> Signup and view all the answers

What is the first step when proving trigonometric identities?

<p>Change all trigonometric ratios to sine and cosine. (B)</p> Signup and view all the answers

What is the condition for two lines to be parallel?

<p>They have the same gradient but different y-intercepts. (B)</p> Signup and view all the answers

What is the purpose of the gradient-intercept form of a line?

<p>To directly read off the gradient and y-intercept. (C)</p> Signup and view all the answers

Why is tan(θ) undefined when cos(θ) = 0?

<p>Because the denominator of the tangent function is zero. (C)</p> Signup and view all the answers

What is the formula for finding the gradient of a perpendicular line?

<p>m₁ = -1/m₂ (A)</p> Signup and view all the answers

What is the importance of the equation form when finding the equation of a perpendicular line?

<p>It is essential to ensure the given line's equation is in the gradient-intercept form. (C)</p> Signup and view all the answers

What are the coordinates of point P' when points P and P' are symmetrical about the origin?

<p>(-x, -y) (B)</p> Signup and view all the answers

What is the value of sin(180° + θ) in terms of θ?

<p>-sin(θ) (D)</p> Signup and view all the answers

What is the value of cos(360° - θ) in terms of θ?

<p>cos(θ) (B)</p> Signup and view all the answers

What are the coordinates of point P' when points P and P' are symmetrical about the x-axis?

<p>(x, -y) (C)</p> Signup and view all the answers

What is the value of tan(90° + θ) in terms of θ?

<p>-tan(θ) (C)</p> Signup and view all the answers

What is the value of cos(90° - θ) in terms of θ?

<p>sin(θ) (C)</p> Signup and view all the answers

What is the value of sin(90° + θ) in terms of θ?

<p>cos(θ) (D)</p> Signup and view all the answers

What is the value of tan(180° + θ) in terms of θ?

<p>tan(θ) (D)</p> Signup and view all the answers

What is the value of sin(360° - θ) in terms of θ?

<p>-sin(θ) (B)</p> Signup and view all the answers

What is the value of cos(360° + θ) in terms of θ?

<p>cos(θ) (A)</p> Signup and view all the answers

What is the formula for the volume of a rectangular prism?

<p>l × b × h (B)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4πr^2 (B)</p> Signup and view all the answers

What is the shape of the base of a cylinder when it is unfolded into a net?

<p>Circle (A)</p> Signup and view all the answers

What happens to the surface area and volume of a prism or cylinder when one or more dimensions are multiplied by a constant factor?

<p>They increase by a factor of the square of the constant (A)</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>1/3 × πr^2 × h (C)</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>b (b + 2hs) (C)</p> Signup and view all the answers

What is the shape of a triangular prism when it is unfolded into a net?

<p>Two triangles and three rectangles (D)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>1/2 × b × h × H (A)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>4/3 × πr^3 (A)</p> Signup and view all the answers

What is the purpose of reduction formulae and co-function rules in trigonometry?

<p>To express trigonometric functions in terms of acute angles, facilitating simplification and evaluation (A)</p> Signup and view all the answers

When solving trigonometric equations, what is the first step?

<p>Use a calculator to find the reference angle (A)</p> Signup and view all the answers

What is the shape of a cube when it is unfolded into a net?

<p>Six identical squares (C)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>A = 1/2 × b × h (D)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2 × π × r (A)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>A = π × r^2 (B)</p> Signup and view all the answers

What is the shape of a right prism when it is unfolded into a net?

<p>A polygon (C)</p> Signup and view all the answers

What is the primary purpose of the CAST diagram in trigonometry?

<p>To determine the quadrants where the trigonometric function is positive or negative (B)</p> Signup and view all the answers

What is the formula for the surface area of a prism or cylinder?

<p>SA is calculated by finding the area of each face and adding them together (C)</p> Signup and view all the answers

What is the purpose of trigonometric equations?

<p>To find the values of angles that satisfy the equation (A)</p> Signup and view all the answers

What is the condition for a trigonometric equation to have a solution?

<p>The equation must be given a specific interval (A)</p> Signup and view all the answers

What is the period of the function y = cos θ?

<p>360° (C)</p> Signup and view all the answers

What is the effect of q on the graph of y = a cos θ + q?

<p>Vertical shift (C)</p> Signup and view all the answers

What is the amplitude of the function y = a cos θ?

<p>a (A)</p> Signup and view all the answers

What is the effect of p on the graph of y = cos(θ + p)?

<p>Horizontal shift (A)</p> Signup and view all the answers

What is the period of the function y = tan kθ?

<p>180°/k (B)</p> Signup and view all the answers

What is the effect of q on the graph of y = a tan θ + q?

<p>Vertical shift (D)</p> Signup and view all the answers

What is the effect of a on the graph of y = a tan θ?

<p>Increase in amplitude (A)</p> Signup and view all the answers

What is the domain of the function y = cos kθ?

<p>{θ: θ ∈ ℝ} (A)</p> Signup and view all the answers

What is the range of the function y = cos kθ?

<p>[-1, 1] (B)</p> Signup and view all the answers

In a cyclic quadrilateral, what is the relationship between the opposite angles?

<p>They are supplementary (D)</p> Signup and view all the answers

What is the y-intercept of the function y = cos kθ?

<p>(0°, 1) (C)</p> Signup and view all the answers

What is the angle between a tangent to a circle and a chord drawn from the point of contact equal to?

<p>The angle which the chord subtends in the alternate segment (D)</p> Signup and view all the answers

What is the period of the function y = sin(kθ)?

<p>360°|k| (B)</p> Signup and view all the answers

What is the effect of q on the graph of y = a sin(θ) + q?

<p>It causes a vertical shift (A)</p> Signup and view all the answers

What is the range of the function y = sin(θ)?

<p>[-1, 1] (C)</p> Signup and view all the answers

What is the effect of a on the graph of y = a sin(θ)?

<p>It changes the amplitude (C)</p> Signup and view all the answers

What is the domain of the function y = sin(θ)?

<p>[θ: θ ∈ ℝ] (A)</p> Signup and view all the answers

What is the angle formed by a line with the positive x-axis?

<p>Inclination (B)</p> Signup and view all the answers

What is the effect of p on the graph of y = sin(θ + p)?

<p>It causes a horizontal shift (B)</p> Signup and view all the answers

What is the maximum turning point of the graph of y = sin(θ)?

<p>(90°, 1) (B)</p> Signup and view all the answers

What is the domain of the function y = tan(kθ)?

<p>All real values of θ except θ = -90°/k and θ = 90°/k (D)</p> Signup and view all the answers

What is the range of the function y = tan(kθ)?

<p>(-∞, ∞) (B)</p> Signup and view all the answers

What is the y-intercept of the function y = tan(kθ)?

<p>(0°, 0) (D)</p> Signup and view all the answers

What happens to the graph of the function y = tan(θ) when p is added to θ, resulting in y = tan(θ + p)?

<p>The graph shifts to the left by p (D)</p> Signup and view all the answers

What is the effect of p on the graph of the function y = tan(θ + p) when p is negative?

<p>The graph shifts to the right by p (B)</p> Signup and view all the answers

What are the asymptotes of the function y = tan(kθ)?

<p>θ = 90°/k and θ = -90°/k (D)</p> Signup and view all the answers

What is the effect of multiplying all three dimensions of a prism or cylinder by a constant factor k on its volume?

<p>It is scaled by k³ (C)</p> Signup and view all the answers

What is the formula for the surface area of a right prism or cylinder?

<p>2 × (lh + lb + bh) (B)</p> Signup and view all the answers

What is the formula for the volume of a triangular prism?

<p>½ × bh × H (D)</p> Signup and view all the answers

What is the formula for the surface area of a sphere?

<p>4 × πr² (D)</p> Signup and view all the answers

What is the effect of multiplying one dimension of a prism or cylinder by a constant factor k on its surface area?

<p>It is scaled by k (A)</p> Signup and view all the answers

What is the formula for the volume of a square pyramid?

<p>⅓ × b² × H (B)</p> Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

<p>b (b + 2hs) (D)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>2 × πr (D)</p> Signup and view all the answers

What is the formula for the area of a trapezium?

<p>½ × (a + b) × h (B)</p> Signup and view all the answers

What is the formula for the volume of a right cone?

<p>⅓ × πr² × H (B)</p> Signup and view all the answers

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