[ { "Question": "Which shape is generally considered the largest in area when comparing a square and a circle with the same perimeter?", "Answer": "B", "Explanation": "For shapes with the same perimeter, a circle encloses the largest area compared to a square.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Circle_and_square.svg/200px-Circle_and_square.svg.png", "OptionA": "Square", "OptionB": "Circle", "OptionC": "Triangle", "OptionD": "Rectangle", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Area comparison", "Item": 1, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which of the following shapes has the smallest number of sides?", "Answer": "A", "Explanation": "A triangle has 3 sides, which is the smallest number of sides among common polygons.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Triangle_equilateral.svg/120px-Triangle_equilateral.svg.png", "OptionA": "Triangle", "OptionB": "Square", "OptionC": "Pentagon", "OptionD": "Hexagon", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Number of sides", "Item": 2, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "If you double the length of each side of a square, how does its area change?", "Answer": "C", "Explanation": "Doubling the side length increases the area by a factor of four (since area = side²).", "PictureURL": "", "OptionA": "It doubles", "OptionB": "It triples", "OptionC": "It quadruples", "OptionD": "It stays the same", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Area scaling", "Item": 3, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape is larger in volume: a cube with side length 3 units or a sphere with radius 3 units?", "Answer": "A", "Explanation": "Cube volume = 3³ = 27 cubic units; Sphere volume = (4/3)π(3³) ≈ 113.1 cubic units, so the sphere is larger.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Cube_and_sphere.svg/200px-Cube_and_sphere.svg.png", "OptionA": "Sphere", "OptionB": "Cube", "OptionC": "Both are equal", "OptionD": "Cannot be determined", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Volume comparison", "Item": 4, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which of these shapes is considered the smallest in terms of the number of vertices?", "Answer": "A", "Explanation": "A circle has no vertices, but among polygons, a triangle has the fewest vertices (3).", "PictureURL": "", "OptionA": "Triangle", "OptionB": "Square", "OptionC": "Pentagon", "OptionD": "Hexagon", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Vertices count", "Item": 5, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape has the largest perimeter if all have the same area?", "Answer": "D", "Explanation": "Among shapes with the same area, irregular shapes or those with more sides can have larger perimeters; a star shape often has a larger perimeter than a circle or square.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Star_polygon.svg/200px-Star_polygon.svg.png", "OptionA": "Circle", "OptionB": "Square", "OptionC": "Triangle", "OptionD": "Star", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Perimeter comparison", "Item": 6, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "What is the relationship between the size of a shape and its perimeter?", "Answer": "B", "Explanation": "Generally, as the size of a shape increases, its perimeter increases proportionally, but the exact relationship depends on the shape's dimensions.", "PictureURL": "", "OptionA": "Size decreases as perimeter increases", "OptionB": "Size and perimeter usually increase together", "OptionC": "Size stays the same regardless of perimeter", "OptionD": "Perimeter decreases as size increases", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Size and perimeter relationship", "Item": 7, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape is the smallest in terms of internal angles?", "Answer": "A", "Explanation": "A triangle has the smallest sum of internal angles (180 degrees) compared to other polygons.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Triangle_equilateral.svg/120px-Triangle_equilateral.svg.png", "OptionA": "Triangle", "OptionB": "Square", "OptionC": "Pentagon", "OptionD": "Hexagon", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Internal angles", "Item": 8, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "If a rectangle is twice as long and twice as wide as another rectangle, how does its area compare?", "Answer": "C", "Explanation": "Area scales by the product of the scale factors: 2 × 2 = 4 times larger.", "PictureURL": "", "OptionA": "It is twice as large", "OptionB": "It is three times as large", "OptionC": "It is four times as large", "OptionD": "It is the same size", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Area scaling in rectangles", "Item": 9, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which of these shapes is considered the largest in terms of symmetry?", "Answer": "B", "Explanation": "A circle has infinite lines of symmetry, making it the most symmetric shape.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_-_black_simple.svg/120px-Circle_-_black_simple.svg.png", "OptionA": "Square", "OptionB": "Circle", "OptionC": "Triangle", "OptionD": "Rectangle", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Symmetry comparison", "Item": 10, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape has the smallest surface area if all have the same volume?", "Answer": "A", "Explanation": "A sphere has the smallest surface area for a given volume compared to other 3D shapes.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Sphere_wireframe_10deg_6r.svg/200px-Sphere_wireframe_10deg_6r.svg.png", "OptionA": "Sphere", "OptionB": "Cube", "OptionC": "Cylinder", "OptionD": "Cone", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Surface area comparison", "Item": 11, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which polygon has the largest number of sides?", "Answer": "D", "Explanation": "Among the options, an octagon has 8 sides, which is the largest number.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/9/9b/Regular_octagon.svg/120px-Regular_octagon.svg.png", "OptionA": "Triangle", "OptionB": "Square", "OptionC": "Pentagon", "OptionD": "Octagon", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Number of sides", "Item": 12, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "If you increase the radius of a circle by 3 times, how does its area change?", "Answer": "C", "Explanation": "Area of a circle scales with the square of the radius, so area increases by 3² = 9 times.", "PictureURL": "", "OptionA": "It triples", "OptionB": "It doubles", "OptionC": "It increases nine times", "OptionD": "It stays the same", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Circle area scaling", "Item": 13, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape is considered the smallest in terms of the number of edges in 3D geometry?", "Answer": "A", "Explanation": "A tetrahedron has 6 edges, which is fewer than other common polyhedra like cubes or octahedrons.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/3/3a/Tetrahedron.svg/200px-Tetrahedron.svg.png", "OptionA": "Tetrahedron", "OptionB": "Cube", "OptionC": "Octahedron", "OptionD": "Dodecahedron", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "3D edges count", "Item": 14, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" }, { "Question": "Which shape has the largest diagonal length if all have the same side length?", "Answer": "D", "Explanation": "Among common polygons, a hexagon has the largest diagonal length relative to its side length.", "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Regular_hexagon.svg/120px-Regular_hexagon.svg.png", "OptionA": "Square", "OptionB": "Triangle", "OptionC": "Pentagon", "OptionD": "Hexagon", "OptionE": "", "OptionF": "", "OptionG": "", "TestName": "Chapter 3: Shapes and Geometry — Big vs small", "Content Type": "multiple choice", "Title": "Diagonal length comparison", "Item": 15, "Type": "multiple choice", "Path": "Chapter3/ShapesAndGeometry/BigVsSmall" } ]