Math10 LE2 Questions PDF

Lesson 13: Origami (B) 1. Daryl chose a random vertex on a flat-folded paper crane origami. He observed 5 mountain folds and 3 valley folds at that vertex. Will the origami fold flat? a. Yes, because the total number of folds at that vertex is an even number, following the principle of alternating...

Lesson 13: Origami (B) 1. Daryl chose a random vertex on a flat-folded paper crane origami. He observed 5 mountain folds and 3 valley folds at that vertex. Will the origami fold flat? a. Yes, because the total number of folds at that vertex is an even number, following the principle of alternating interior angles. b. Yes, because the number of mountain folds minus the number of valley folds is equal to 2 at that vertex. c. No, because choosing a random vertex does not follow the two-colorable rule. d. No, because the number of mountain folds minus the number of valley folds must equal 1. (C) 2. Which of the following geometric principles is not observable in flat-folded origami? a. Angle Bisection b. Perpendicular Lines c. Hyperbolic Geometry d. None of the above (C) 3. How can we apply the concept of origami in complex scientific and mathematical fields? a. In sociology, it integrates math and theory by using quantitative methods, such as statistics and mathematical models, to analyze social data and test theoretical concepts. b. In biomedical applications, prosthetics use the concept of shape to mimic the natural contours of the human body, ensuring comfort, functionality, and seamless integration with the user's movements. c. In spacecraft design, NASA's lightweight, perseverance rover’s wheels enhance portability and allow maneuvering in tight spaces on planetary surfaces. d. In architecture, symmetry creates balance, harmony, and aesthetic appeal in building designs by mirroring shapes, patterns, or elements on either side of a central axis.  Lesson 14: Fashion In bias draping, at what angle to the fabric’s grainline is the bias typically cut to enhance the drape and stretch of the material? Answer: 45 degree What theorem is concerned with how to transform a flat plane to a convex body Answer: Pogorelov's Ball Theorem In color theory, what color mixing model best describes the absorption of wavelength from white light to create a new pigment? Answer: Subtractive Color Mixing Model or CMY/CMYK model What is the term used in linear programming to describe the set of all possible solutions that satisfy the problem's constraints? Answer: feasible region The Golden ratio is the ratio between two numbers equalling approximately what value? Answer: 1.618  Lesson 15: Cooking 1. According to Gudetama's recipe, the ratio of the number of eggs to a single serving omelette is 2:1. If Jekha has 252 eggs, how many omelettes can she make? Solution: 2:1 :: 252: x 2x = 252 x = 252/2 x = 126 a. 120 omelettes b. 121 omelettes c. 124 omelettes d. 126 omelettes (answer) 2. It describes a quantity increasing at a rate proportional to its current amount, also visualized as rapid expansion. a. Navier Stokes b. Exponential Growth (answer) c. Struik's Expansion d. Vortex Dynamic 3. What mathematical concept is apparent in observing how air particles move inside egg whites, therefore forming stiff peaks which is often associated with Meringues? a. Ratio and Proportion b. Fluid Dynamics (answer) c. Exponential Growth d Struik's Equation 4. What factor causes eggs to take longer to cook at higher altitudes? a. Higher water temperature b. Decreased boiling temperature (answer) c. Increased egg density d. Faster thermal conductivity 5. Which is not part of the essential principles of vortex dynamics in the process of cooking poached eggs?" A. Maintaining motion towards the egg B. Maintaining ample levels of water (answer) C. Generating a toroidal vortex D. Incorporating motion to the egg  Lesson 16: Makeup In a color wheel, how many degrees is in between two complimentary colors? Answer: 180 Which of the following make-up brushes provides greater coverage? a. Brush with longer handle b. Brush with small surface area c. Brush with great surface area d. Brush with minimal bristles True or False: To calculate the total cost of makeup products, the formula to be used is: Total Fixed Cost + (Total Variable Cost x number of Units) Answer: True  Lesson 17: Child Development 1.) It is defined as a "good intuition about numbers and their relations. a. patterns b. number sense c. arithmetic d. numeracy 2.) This theory states that "any map, drawing, or graph in a plane can be colored using four colors in such a way that regions sharing a common boundary do not share the same color." a. 2 Color Theorem b. Euler's Formula c. 3 Color Theorem d. 4 Color Theorem 3.) Using the provided given, identify which is not a polyhedron. a. Faces: 6 Edges: 12 Vertices: 8 b. Faces: 8 Edges: 12 Vertices: 6 c. Faces: 4 Edges: 7 Vertices: 3 d. Faces: 12 Edges: 30 Vertices: 20 Answer: 1.) b. 2.) d. 3.) c.  Lesson 19: Filmmaking Group 9 Mathematics in Filmmaking and Photography Questions with Answer Key 1. Which is true about Rule of Thirds? a. It is the most well-known "rule" of editing. b. Mathematically, the intersections of the lines in the 3x3 grid create four points that are located at (⅓, ⅓), (⅔,⅓), (⅓, ⅔), and (⅔, ⅔) outside the frame. c. It is the process of dividing an image into thirds using two horizontal and two vertical lines and placing the subject of your photo at the intersection of those lines. d. All of the above Answer: C Explanations: a. It is the most well-known "rule" of editing - composition b. Mathematically, the intersections of the lines in the 3x3 grid create four points that are located at (⅓, ⅓), (⅔,⅓), (⅓, ⅔), and (⅔, ⅔) outside the frame - within c. It is the process of dividing an image into thirds using two horizontal and two vertical lines and placing the subject of your photo at the intersection of those lines. - correct 2. In this scene of 2001: Space Odyssey, what is the angle used to create the effect of a radial symmetry? a. 45° b. 60° c. 25° d. 90° Answer: A Explanation: 360/8 = 45°  Lesson 20: Landscape Architecture 1. if 50 meters on a 1:50 scale is 1 meter, what will it be on a 1:100 scale? - A. 0.5 meters (answer) - B. 10 meters - C. 6 meters - D. 15 meters 2. A rectangular lot is 25 meters across and 12 meters wide, what is the area of the lot? - A. 30m² - B. 300m² (Answer) - C. 3000m² - D. 200m² 3. It is the study and practice of designing environments that encompasses elements of art, architecture, environment, engineering and sociology. - A. Architecture - B. Interior Design - C. Landscape Architecture (Answer) - D. Industrial Engineering 4. On a scale of 1:100, how many centimeters would an architect need to draw on a piece of paper to represent 10 meters? - A. 10 centimeters (answer) - B. 1 centimeter - C. 100 centimeters - D. None of the above 5. On a scale of 1:100, what is the accurate measurement of a pole in a one-point perspective that is 8 meters high and is 2 meters away from the viewer? - A. 6.5 cm (Answer) - B. 8 cm - C. 8.2 cm - D. 9.1 cm 6. Which of the following calculated costs cover general business expenses not directly tied to a project? A. Labor Costs B. Overhead Costs (Answer) C. Equipment Costs D. Material Costs