id stringlengths 1 4 | media images listlengths 1 1 | messages stringlengths 167 667 | answer stringclasses 5
values | question_type stringclasses 1
value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
values |
|---|---|---|---|---|---|---|---|
693 | [{"role": "user", "question": "As shown in the diagram, using a ruler to measure the side lengths of an isosceles trapezoid, the lengths of the upper and lower bases and the legs are measured. What is the perimeter of the isosceles trapezoid in cm?", "hint": "", "options": {"A": "25", "B": "14", "C": "20", "D": "13", "... | B | mcq | Perimeter of Trapezoids | 2steps_333 | 2steps_2 | |
694 | [{"role": "user", "question": "As shown in the diagram, if the side lengths of a parallelogram are measured using a ruler, what is the perimeter of the parallelogram in decimeters (dm)?", "hint": "", "options": {"A": "25", "B": "14", "C": "20", "D": "16", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Parallelograms | 2steps_334 | 2steps_2 | |
695 | [{"role": "user", "question": "As shown in the diagram, using a ruler to measure the sides of a triangle, what is the area of the right triangle in cm²?", "hint": "", "options": {"A": "12", "B": "10", "C": "4", "D": "6", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Triangles | 2steps_335 | 2steps_2 | |
696 | [{"role": "user", "question": "As shown in the diagram, what is the circumference of the circle in cm?", "hint": "", "options": {"A": "5π", "B": "4π", "C": "3π", "D": "2π", "E": "No correct answer"}, "choices": []}] | B | mcq | Circumference of Circles | 2steps_336 | 2steps_2 | |
697 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is an isosceles triangle. What is its perimeter in cm?", "hint": "", "options": {"A": "11", "B": "9", "C": "8", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Triangles | 2steps_337 | 2steps_2 | |
698 | [{"role": "user", "question": "As shown in the diagram, it is known that the two line segments in figure ① are parallel to each other. Can the closed figure formed by connecting this group of line segments be a parallelogram?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Uncertain", "D": "No correct answer"}, ... | A | mcq | Properties and Understanding of Parallelograms | 2steps_338 | 2steps_2 | |
699 | [{"role": "user", "question": "As shown in the diagram, the line segments in both ① and ② are parallel lines. Can the closed figure formed by connecting this group of line segments be a rectangle?", "hint": "", "options": {"A": "Yes, ①", "B": "Yes, ②", "C": "No", "D": "Uncertain", "E": "No correct answer"}, "choices": ... | A | mcq | Properties and Understanding of Rectangles | 2steps_339 | 2steps_2 | |
7 | [{"role": "user", "question": "As shown in the diagram, there is a circle made of wire. What is the circumference of this circle?", "hint": "", "options": {"A": "15π", "B": "10π", "C": "5π", "D": "No correct answer"}, "choices": []}] | B | mcq | Circumference of Circles | 2steps_7 | 2steps_1 | |
70 | [{"role": "user", "question": "As shown in the diagram, two small rectangles are joined to form a larger rectangle. Compared to the original shapes, the perimeter has decreased by 20 cm. What is the width of the rectangle in cm?", "hint": "", "options": {"A": "10", "B": "1", "C": "0.1", "D": "20", "E": "No correct answ... | A | mcq | Combining Plane Figures | 2steps_70 | 2steps_1 | |
700 | [{"role": "user", "question": "As shown in the diagram, it is known that the two line segments in figure ① are parallel to each other. Can the closed shape formed by connecting this group of line segments be a trapezoid?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Uncertain", "D": "No correct answer"}, "choi... | A | mcq | Properties and Understanding of Trapezoids | 2steps_340 | 2steps_2 | |
701 | [{"role": "user", "question": "As shown in the diagram, the line segments in both ① and ③ are parallel lines. Can the closed figure formed by connecting this group of line segments be a square?", "hint": "", "options": {"A": "Yes, ①", "B": "Yes, ③", "C": "No", "D": "Uncertain", "E": "No correct answer"}, "choices": []}... | A | mcq | Properties and Understanding of Squares | 2steps_341 | 2steps_2 | |
702 | [{"role": "user", "question": "As shown in the diagram, the distance between points A and B on line ① is ( ) cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 2steps_342 | 2steps_2 | |
703 | [{"role": "user", "question": "As shown in the diagram, it is known that lines ① and ④ are parallel to each other. Are all the angles they form with line l acute angles? ( )", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Uncertain", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding and Representing Angles | 2steps_343 | 2steps_2 | |
704 | [{"role": "user", "question": "As shown in the diagram, it is known that line ① and line ④ are parallel to each other. Are the angles they form with line l all right angles?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Uncertain", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding and Representing Angles | 2steps_344 | 2steps_2 | |
705 | [{"role": "user", "question": "As shown in the diagram, what is the distance in decimeters between the parallel lines corresponding to ①?", "hint": "", "options": {"A": "0.3", "B": "0.5", "C": "5", "D": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Length Units | 2steps_345 | 2steps_2 | |
706 | [{"role": "user", "question": "As shown in the diagram, into which three-dimensional shape can paper ③ be rolled? ( )", "hint": "", "options": {"A": "Cone", "B": "Cylinder", "C": "Rectangular cuboid", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties of Cylinders | 2steps_346 | 2steps_2 | |
707 | [{"role": "user", "question": "As shown in the diagram, ∠1 = 30°, and the radius of the protractor is as shown. The area of the sector formed by ∠1 and the edge of the protractor is ( ) cm².", "hint": "", "options": {"A": "3π", "B": "1π", "C": "5π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Sectors | 2steps_347 | 2steps_2 | |
708 | [{"role": "user", "question": "As shown in the diagram, using a protractor to measure the angle, the degree of the angle is as shown. What is the degree of ∠B in the parallelogram?", "hint": "", "options": {"A": "60", "B": "90", "C": "30", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 2steps_348 | 2steps_2 | |
709 | [{"role": "user", "question": "As shown in the diagram, when measuring an angle with a protractor, the area of the sector formed by the angle being measured and the edge of the protractor is ( ) cm².", "hint": "", "options": {"A": "3π", "B": "1π", "C": "5π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Sectors | 2steps_349 | 2steps_2 | |
71 | [{"role": "user", "question": "From the rectangle shown in the diagram, a largest possible square is cut out. What is the side length of the square in cm?", "hint": "", "options": {"A": "16", "B": "21", "C": "32", "D": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures | 2steps_71 | 2steps_1 | |
710 | [{"role": "user", "question": "As shown in the diagram, the degree of ∠BAC is as shown. The point located to the northwest of point A is ()", "hint": "", "options": {"A": "Point B", "B": "Point C", "C": "Point D", "D": "No correct answer"}, "choices": []}] | A | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_350 | 2steps_2 | |
711 | [{"role": "user", "question": "As shown in the diagram, using a protractor to measure the angle, what is the size of ∠C in the isosceles trapezoid? ", "hint": "", "options": {"A": "135°", "B": "45°", "C": "90°", "D": "60°", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Trapezoids | 2steps_351 | 2steps_2 | |
712 | [{"role": "user", "question": "As shown in the diagram, using a protractor to measure angles, ∠D=60°, what is the size of angle ∠C in the isosceles trapezoid?", "hint": "", "options": {"A": "120", "B": "100", "C": "60", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Trapezoids | 2steps_352 | 2steps_2 | |
713 | [{"role": "user", "question": "As shown in the diagram, when measuring angles with a protractor, the point at 60° east by north from point O is ( )?", "hint": "", "options": {"A": "Point A", "B": "Point B", "C": "Point C", "D": "No correct answer"}, "choices": []}] | A | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_353 | 2steps_2 | |
714 | [{"role": "user", "question": "As shown in the diagram, using a protractor to measure the angle, ∠C=60°, then the length of CD in the trapezoid is ( ) cm.", "hint": "", "options": {"A": "6", "B": "8", "C": "10", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 2steps_354 | 2steps_2 | |
715 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is a cross-section of a cone. It is known that ∠1 = 45°. What is the measure of ∠2?", "hint": "", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties of Cones | 2steps_355 | 2steps_2 | |
716 | [{"role": "user", "question": "As shown in the diagram, this angle is ( )", "hint": "", "options": {"A": "Right angle", "B": "Acute angle", "C": "Obtuse angle", "D": "Straight angle", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding and Representing Angles | 2steps_356 | 2steps_2 | |
717 | [{"role": "user", "question": "In the diagram below, the area of the rectangle is 314 square centimeters. The width of the rectangle is ( ) cm.(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "6.28", "C": "15.7", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Rectangles | 2steps_357 | 2steps_2 | |
718 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cone in cm³? (π is taken as 3.14)", "hint": "", "options": {"A": "9.42", "B": "113.04", "C": "37.68", "D": "12.56", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cones | 2steps_358 | 2steps_2 | |
719 | [{"role": "user", "question": "Are all diameters of a circle equal in length?", "hint": "", "options": {"A": "Equal", "B": "Not equal", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Circles | 2steps_359 | 2steps_2 | |
72 | [{"role": "user", "question": "As shown in the diagram, after cutting a triangle from another triangle, what is the resulting shape?", "hint": "", "options": {"A": "Triangle", "B": "Trapezoid", "C": "Parallelogram", "D": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures | 2steps_72 | 2steps_1 | |
720 | [{"role": "user", "question": "As shown in the diagram, it is known that this figure is the lateral surface development of a cylinder. If the circumference of the cylinder's base is 6.28 cm, what is the radius of the base?(π = 3.14)", "hint": "", "options": {"A": "1 cm", "B": "1.5 cm", "C": "3.14 cm", "D": "6.28 cm", "... | A | mcq | Circumference of Circles | 2steps_360 | 2steps_2 | |
721 | [{"role": "user", "question": "As shown in the diagram, the correct route description from point O to point B is ( )", "hint": "", "options": {"A": "First walk 3000m northeast, then walk 4000m east", "B": "First walk 4000m northeast, then walk 3000m east", "C": "First walk 3m southeast, then walk 4m east", "D": "First ... | A | mcq | Conversion Rates and Calculations Between Length Units;Describing Simple Routes Based on Direction and Distance | 2steps_1 | 2steps_multi | |
722 | [{"role": "user", "question": "As shown in the diagram, the correct description of the route from point A to point B is ( )", "hint": "", "options": {"A": "First walk 3m east, then 5m north, and finally 4m west", "B": "First walk 4m east, then 5m north, and finally 3m east", "C": "First walk 3m east, then 5m north, and... | C | mcq | Conversion Rates and Calculations Between Length Units;Describing Simple Routes Based on Direction and Distance | 2steps_2 | 2steps_multi | |
723 | [{"role": "user", "question": "As shown in the diagram, there are three cylindrical objects placed. The volume of the cylinder with a base diameter of 5 cm is ( ) cm³.", "hint": "", "options": {"A": "1", "B": "1000", "C": "0.01", "D": "0.001", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Length Units;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_3 | 2steps_multi | |
724 | [{"role": "user", "question": "As shown in the diagram, there are three rectangular solids placed. The volume of the rectangular solid with a height of 1dm is ( ) dm³.", "hint": "", "options": {"A": "1", "B": "10000", "C": "0.01", "D": "0.1", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_4 | 2steps_multi | |
725 | [{"role": "user", "question": "As shown in the diagram, it is known that the circumference of the circle is 6.28 cm, A is the center of the circle, and B and C are two points on the circle. What is the area of triangle ABC in cm²?", "hint": "", "options": {"A": "1 cm²", "B": "1.5 cm²", "C": "0.5 cm²", "D": "6.2 cm²", "... | C | mcq | Circumference of Circles;Area of Triangles | 2steps_5 | 2steps_multi | |
726 | [{"role": "user", "question": "As shown in the diagram, if the diameter of the base of the cylinder is as shown, then the length of the lateral surface when unfolded is ( )?(π = 3.14)", "hint": "", "options": {"A": "10 cm", "B": "15 cm", "C": "31.4 cm", "D": "62.8 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Circumference of Circles;Expanded View of Cylinders | 2steps_6 | 2steps_multi | |
727 | [{"role": "user", "question": "As shown in the diagram, there is a circle made of wire. Now, this wire is reshaped into an isosceles trapezoid with the top and bottom bases as shown in the diagram. The length of each leg of the trapezoid is ( )?", "hint": "", "options": {"A": "3π", "B": "10π", "C": "5π", "D": "No corre... | A | mcq | Circumference of Circles;Perimeter of Trapezoids | 2steps_7 | 2steps_multi | |
728 | [{"role": "user", "question": "As shown in the diagram, there is a circular piece of iron with a radius of 5cm. Now, Xiao Ming wants to use this circular iron piece as the base to make a cylindrical container with a height of 6cm. Xiao Ming additionally needs a rectangular piece of iron that is ( ) cm long.(π = 3.14)",... | A | mcq | Circumference of Circles;Expanded View of Cylinders | 2steps_8 | 2steps_multi | |
729 | [{"role": "user", "question": "In the diagram, the block to the right and above H is ( ).", "hint": "", "options": {"A": "F", "B": "D", "C": "B", "D": "I", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position;Up-Down Position | 2steps_9 | 2steps_multi | |
73 | [{"role": "user", "question": "A rectangle is cut into two identical squares (as shown in the diagram). The combined perimeter of these two squares is 6 cm more than the perimeter of the original rectangle. What is the side length of each square (in cm)?", "hint": "", "options": {"A": "4", "B": "3", "C": "6", "D": "2",... | B | mcq | Division of Plane Figures | 2steps_73 | 2steps_1 | |
730 | [{"role": "user", "question": "Mike stands at point A facing a tree. He moves to the right and then moves forward, arriving at which point? (His facing direction remains unchanged throughout the movement.)", "hint": "", "options": {"A": "B", "B": "C", "C": "F", "D": "G", "E": "No correct answer"}, "choices": []}] | B | mcq | Left-Right Position;Front-Back Position | 2steps_10 | 2steps_multi | |
731 | [{"role": "user", "question": "As shown in the diagram, after folding the following figure into a cube, the block opposite to the block to the right of block D is ( ).", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "E", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position;Expanded View of Cubes | 2steps_11 | 2steps_multi | |
732 | [{"role": "user", "question": "As shown in the diagram, in a building, it is known that A lives to the left of B. Who lives in the apartment above and to the left of E?", "hint": "", "options": {"A": "A", "B": "B", "C": "F", "D": "H", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position;Up-Down Position | 2steps_12 | 2steps_multi | |
733 | [{"role": "user", "question": "According to the diagram, how should A move to reach square B? ()", "hint": "", "options": {"A": "Walk 300 meters to the right", "B": "Walk 200 meters to the right", "C": "Walk 300 meters to the left", "D": "Walk 200 meters to the left", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position;Observing Figures | 2steps_13 | 2steps_multi | |
734 | [{"role": "user", "question": "As shown in the diagram, A, B, C, D are four cubes. From the front view, the surface area of the object to the right of A is () cm².", "hint": "", "options": {"A": "726", "B": "150", "C": "96", "D": "24", "E": "No correct answer"}, "choices": []}] | C | mcq | Left-Right Position;Surface Area of Cubes | 2steps_14 | 2steps_multi | |
735 | [{"role": "user", "question": "As shown in the diagram, color the square to the left of square A in the cube. Then unfold the cube. Which of the following unfolding diagrams is correct?", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Left-Right Position;Expanded View of Cubes | 2steps_15 | 2steps_multi | |
736 | [{"role": "user", "question": "As shown in the diagram, if you subtract 1 from the number to the right of '3' in the square grid, and then fold this expanded view into a cube, is it possible to obtain a cube with a set of equal opposite faces?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Cannot be determined"... | B | mcq | Left-Right Position;Expanded View of Cubes | 2steps_16 | 2steps_multi | |
737 | [{"role": "user", "question": "As shown in the diagram, in a building, it is known that A lives to the left of B. Who lives to the right of D on the floor below?", "hint": "", "options": {"A": "A", "B": "B", "C": "F", "D": "H", "E": "No correct answer"}, "choices": []}] | D | mcq | Up-Down Position;Left-Right Position | 2steps_17 | 2steps_multi | |
738 | [{"role": "user", "question": "As shown in the diagram, after folding the following figure into a cube, the block opposite to the block below block C is ( ).", "hint": "", "options": {"A": "A", "B": "B", "C": "D", "D": "F", "E": "No correct answer"}, "choices": []}] | B | mcq | Up-Down Position;Expanded View of Cubes | 2steps_18 | 2steps_multi | |
739 | [{"role": "user", "question": "As shown in the diagram, after folding the net into a solid shape, the block opposite to the block above block D is ( ).", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "F", "E": "No correct answer"}, "choices": []}] | D | mcq | Up-Down Position;Expanded View of Cubes | 2steps_19 | 2steps_multi | |
74 | [{"role": "user", "question": "A rectangular piece of paper is 8 cm long and 5 cm wide. After cutting out the largest possible square from it, the dimensions of the remaining figure are ( ) cm.", "hint": "", "options": {"A": "5, 3", "B": "5, 5", "C": "3, 3", "D": "No correct answer"}, "choices": []}] | A | mcq | Division of Plane Figures | 2steps_74 | 2steps_1 | |
740 | [{"role": "user", "question": "As shown in the diagram, color the square above the square labeled A on the cube, and then unfold the cube. Which of the following expanded views is correct?", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Up-Down Position;Expanded View of Cubes | 2steps_20 | 2steps_multi | |
741 | [{"role": "user", "question": "As shown in the diagram, there is a group of cuboids stacked together to form a three-dimensional figure. What is the volume of the cuboid at the bottom of the figure in cubic meters (m³)?", "hint": "", "options": {"A": "0.02", "B": "0.2", "C": "0.1", "D": "200", "E": "No correct answer"}... | B | mcq | Up-Down Position;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_21 | 2steps_multi | |
742 | [{"role": "user", "question": "As shown in the diagram, everyone is facing the blackboard in the classroom. The person in front of F is in the () direction of E.", "hint": "", "options": {"A": "Southeast", "B": "Southwest", "C": "Northeast", "D": "Northwest", "E": "No correct answer"}, "choices": []}] | C | mcq | Front-Back Position;Southeast, Southwest, Northeast, Northwest Directions | 2steps_22 | 2steps_multi | |
743 | [{"role": "user", "question": "Mike is facing the school. Which direction should he go if he wants to go to the market? ", "hint": "", "options": {"A": "Walk forward first, then turn right", "B": "Walk backward first, then turn right", "C": "Walk backward first, then turn left", "D": "Walk forward first, then turn lef... | D | mcq | Front-Back Position;Left-Right Position | 2steps_23 | 2steps_multi | |
744 | [{"role": "user", "question": "As shown in the diagram, the color of the book at the bottom of the desk in front of Lucy is ( )", "hint": "", "options": {"A": "Red", "B": "Green", "C": "Blue", "D": "Yellow", "E": "No correct answer"}, "choices": []}] | C | mcq | Front-Back Position;Up-Down Position | 2steps_24 | 2steps_multi | |
745 | [{"role": "user", "question": "As shown in the diagram, the color of the book at the bottom of the desk in front of Lucy is ( )", "hint": "", "options": {"A": "Red", "B": "Green", "C": "Blue", "D": "Yellow", "E": "No correct answer"}, "choices": []}] | B | mcq | Front-Back Position;Up-Down Position | 2steps_25 | 2steps_multi | |
746 | [{"role": "user", "question": "As shown in the diagram, the volume of the object in front of Lucy is ( ) dm³.", "hint": "", "options": {"A": "0.002", "B": "2", "C": "0.001", "D": "0.2", "E": "No correct answer"}, "choices": []}] | A | mcq | Front-Back Position;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_26 | 2steps_multi | |
747 | [{"role": "user", "question": "As shown in the diagram, Lucy is standing on the far right side looking to the left. What is the volume of the object that appears at the frontmost from Lucy's perspective? (in dm³)", "hint": "", "options": {"A": "10", "B": "100", "C": "1", "D": "1000", "E": "No correct answer"}, "choices... | D | mcq | Front-Back Position;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_27 | 2steps_multi | |
748 | [{"role": "user", "question": "As shown in the picture, this is a scene in a classroom. How many squares are drawn on the blackboard at the front of the classroom?", "hint": "", "options": {"A": "0", "B": "7", "C": "8", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Front-Back Position;Observing Figures | 2steps_28 | 2steps_multi | |
749 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is translated 2 units downward and then 1 unit to the right to obtain the new triangle A'B'C'. What is the position of vertex A', expressed as a coordinate pair?", "hint": "", "options": {"A": "(2, 3)", "B": "(5, 4)", "C": "(5, 3)", "D": "(6, 4)", "E"... | D | mcq | Representing Positions Using Ordered Pairs;Translation | 2steps_29 | 2steps_multi | |
75 | [{"role": "user", "question": "As shown in the diagram, there is a circular cake with a radius of 5 cm, which is divided into four parts. Compared to the original circumference of the cake, the additional edge length is ( )", "hint": "", "options": {"A": "4AB+4CD", "B": "AB+CD", "C": "2AB+2CD", "D": "No correct answer"... | C | mcq | Division of Plane Figures | 2steps_75 | 2steps_1 | |
750 | [{"role": "user", "question": "As shown in the diagram, segment OA rotates 90° clockwise around point O. The position of the corresponding point A' is represented by which coordinate pair?", "hint": "", "options": {"A": "(5, 5)", "B": "(5, 1)", "C": "(4, 1)", "D": "(6, 1)", "E": "No correct answer"}, "choices": []}] | B | mcq | Representing Positions Using Ordered Pairs;Rotation | 2steps_30 | 2steps_multi | |
751 | [{"role": "user", "question": "As shown in the diagram, △ABC is on grid paper, and vertex A can be represented by the coordinate pair (3, 2). If △ABC is translated 3 units to the right, what is the position of vertex B?", "hint": "", "options": {"A": "(6, 2)", "B": "(6, 5)", "C": "Since the position of vertex C is unce... | B | mcq | Representing Positions Using Ordered Pairs;Translation | 2steps_31 | 2steps_multi | |
752 | [{"role": "user", "question": "As shown in the diagram, vertex B of triangle ABC is represented by the coordinate pair (1, 1). If triangle ABC is reflected across line l to form triangle A'B'C', what is the coordinate pair representing the reflection point of vertex B?", "hint": "", "options": {"A": "(6, 5)", "B": "(6,... | C | mcq | Representing Positions Using Ordered Pairs;Axial Symmetry | 2steps_32 | 2steps_multi | |
753 | [{"role": "user", "question": "A small square has a diagonal of 15 meters. Point A is located 45 meters away in the direction of 45°west by south from point ( ).", "hint": "", "options": {"A": "(0, 2)", "B": "(2, 0)", "C": "(2, 6)", "D": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_33 | 2steps_multi | |
754 | [{"role": "user", "question": "What is the point located 300 meters away from point (1, 4) in the direction of 45 degrees east by south?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_34 | 2steps_multi | |
755 | [{"role": "user", "question": "Point B moves 800 meters in which direction to reach point C (5,0)?", "hint": "", "options": {"A": "West", "B": "East", "C": "South", "D": "North", "E": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;Cardinal Directions (East, South, West, North) | 2steps_35 | 2steps_multi | |
756 | [{"role": "user", "question": "In the diagram, the position of point (2, 2) is in which direction from point A?", "hint": "", "options": {"A": "45° east by north", "B": "45° east by south", "C": "45° west by south", "D": "45° west by north", "E": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;Southeast, Southwest, Northeast, Northwest Directions | 2steps_36 | 2steps_multi | |
757 | [{"role": "user", "question": "As shown in the diagram, triangle A is rotated around the point with coordinates (2, 1) to obtain triangle B. How is triangle A rotated?", "hint": "", "options": {"A": "Clockwise by 90°", "B": "Counterclockwise by 90°", "C": "Counterclockwise by 180°", "D": "No correct answer"}, "choices"... | A | mcq | Finding Positions Based on Ordered Pairs;Rotation | 2steps_37 | 2steps_multi | |
758 | [{"role": "user", "question": "As shown in the diagram, an elephant is located at (4,3), which side of point A is this point on?", "hint": "", "options": {"A": "East", "B": "South", "C": "West", "D": "North", "E": "No correct answer"}, "choices": []}] | A | mcq | Finding Positions Based on Ordered Pairs;Cardinal Directions (East, South, West, North) | 2steps_38 | 2steps_multi | |
759 | [{"role": "user", "question": "As shown in the diagram, is the point with coordinates (1, 1) the vertex of the angle? ()", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Finding Positions Based on Ordered Pairs;Understanding and Representing Angles | 2steps_39 | 2steps_multi | |
76 | [{"role": "user", "question": "As shown in the diagram, there is a rectangular cake measuring 5cm in length and 3cm in width. If it is divided into four parts along lines EF and GH, the total length of the additional edge length compared to the original perimeter of the cake can be equivalent to which of the following?... | B | mcq | Division of Plane Figures | 2steps_76 | 2steps_1 | |
760 | [{"role": "user", "question": "As shown in the diagram, the line segment that passes through (1, 1) is ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Finding Positions Based on Ordered Pairs;Understanding Line Segments, Lines, and Rays | 2steps_40 | 2steps_multi | |
761 | [{"role": "user", "question": "As shown in the diagram, the line segment that passes through point (0,3) and is perpendicular to line l is ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;perpendicularity | 2steps_41 | 2steps_multi | |
762 | [{"role": "user", "question": "As shown in the diagram, the line passing through (3,3) is ( )", "hint": "", "options": {"A": "⑤", "B": "①", "C": "③", "D": "④", "E": "No correct answer"}, "choices": []}] | A | mcq | Finding Positions Based on Ordered Pairs;Understanding Line Segments, Lines, and Rays | 2steps_42 | 2steps_multi | |
763 | [{"role": "user", "question": "As shown in the diagram, B is located 40° north by east of A, and C is located 60° south by east of B. What is the measure of ∠1 in the diagram?", "hint": "", "options": {"A": "120°", "B": "110°", "C": "100°", "D": "95°", "E": "No correct answer"}, "choices": []}] | C | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance;Calculation and Comparison of Angles | 2steps_43 | 2steps_multi | |
764 | [{"role": "user", "question": "From the diagram, the bookstore is in which direction from the school?", "hint": "", "options": {"A": "25° north by east", "B": "25° east by north", "C": "65° south by west", "D": "65° west by south", "E": "No correct answer"}, "choices": []}] | B | mcq | Cardinal Directions (East, South, West, North);Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_44 | 2steps_multi | |
765 | [{"role": "user", "question": "As shown in the diagram, A is directly south of B, and C is directly west of A. The distances between AB and BC are the same as shown in the diagram. What is the area of the sector shown in the diagram?", "hint": "", "options": {"A": "25π", "B": "100π", "C": "50π", "D": "No correct answer... | A | mcq | Cardinal Directions (East, South, West, North);Area of Sectors | 2steps_45 | 2steps_multi | |
766 | [{"role": "user", "question": "As shown in the diagram, Mike starts from point B, first goes directly north from B, then directly east from B, and finally returns to point B. The perimeter of the shape formed by the path he takes is ( ).", "hint": "", "options": {"A": "12km", "B": "16km", "C": "15km", "D": "14km", "E":... | A | mcq | Cardinal Directions (East, South, West, North);Perimeter of Triangles | 2steps_46 | 2steps_multi | |
767 | [{"role": "user", "question": "Mike is standing at point A. To reach the point south of E, he should () (his direction remains unchanged).", "hint": "", "options": {"A": "First walk 50m west, then 100m south", "B": "First walk 50m east, then 100m south", "C": "First walk 100m east, then 100m south", "D": "First walk 10... | B | mcq | Cardinal Directions (East, South, West, North);Describing Simple Routes Based on Direction and Distance | 2steps_47 | 2steps_multi | |
768 | [{"role": "user", "question": "How should one travel from point A to point C? ", "hint": "", "options": {"A": "First head northeast to B, then north to C", "B": "First head northwest to B, then west to C", "C": "First head southeast to B, then west to C", "D": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position;Observing Figures | 2steps_48 | 2steps_multi | |
769 | [{"role": "user", "question": "On Sunday, Lisa started from a certain location, first walked towards the southeast for a distance, then headed due south to the park. From where did Lisa start?", "hint": "", "options": {"A": "Zoo", "B": "Library", "C": "Pool", "D": "Supermarket", "E": "No correct answer"}, "choices": []... | A | mcq | Southeast, Southwest, Northeast, Northwest Directions;Cardinal Directions (East, South, West, North) | 2steps_49 | 2steps_multi | |
77 | [{"role": "user", "question": "As shown in the diagram, there is a sector-shaped cake with a radius of 5 cm. It is intended to be cut into four parts along OA, OB, and OC. Compared to the original circumference of the cake, the total length of the new edges can be equivalent to the length of ( ).", "hint": "", "opti... | B | mcq | Division of Plane Figures | 2steps_77 | 2steps_1 | |
770 | [{"role": "user", "question": "As shown in the diagram, it is known that A is to the southeast of B, and C is to the southwest of A. The distances between AB and BC are the same as shown in the diagram. What is the area of the sector shown in the diagram?", "hint": "", "options": {"A": "25π", "B": "100π", "C": "50π", "... | A | mcq | Southeast, Southwest, Northeast, Northwest Directions;Area of Sectors | 2steps_50 | 2steps_multi | |
771 | [{"role": "user", "question": "As shown in the diagram, the point in the southeast direction from E is in which direction from A?", "hint": "", "options": {"A": "40 meters in the southeast direction", "B": "30 meters in the southwest direction", "C": "10 meters in the northwest direction", "D": "30 meters in the northe... | A | mcq | Southeast, Southwest, Northeast, Northwest Directions;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_51 | 2steps_multi | |
772 | [{"role": "user", "question": "The diagram shows a rectangle paper, with the left side folded upwards. Given that ∠1 is 50°, the degree of ∠2 is ( ).", "hint": "", "options": {"A": "50°", "B": "60°", "C": "65°", "D": "70°", "E": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures;Calculation and Comparison of Angles | 2steps_52 | 2steps_multi | |
773 | [{"role": "user", "question": "Fold a square card with a side length of 6 cm in half (as shown in the diagram) to form a rectangle. The perimeter of the rectangle is ( ).", "hint": "", "options": {"A": "12 cm", "B": "15 cm", "C": "18 cm", "D": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures;Perimeter of Rectangles | 2steps_53 | 2steps_multi | |
774 | [{"role": "user", "question": "When a rectangular piece of paper is folded as shown in the diagram, where angle 1 and angle 2 are equal, what is the measure of angle 1?", "hint": "", "options": {"A": "90°", "B": "45°", "C": "60°", "D": "30°", "E": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures;Calculation and Comparison of Angles | 2steps_54 | 2steps_multi | |
775 | [{"role": "user", "question": "The figure below shows a rectangle folded. Angle 1 is ( ).", "hint": "", "options": {"A": "35°", "B": "25°", "C": "50°", "D": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures;Calculation and Comparison of Angles | 2steps_55 | 2steps_multi | |
776 | [{"role": "user", "question": "As shown in the diagram, a triangle is folded along the two dashed lines indicated, and both folds result in the sides along the crease completely overlapping. What type of triangle is it?", "hint": "", "options": {"A": "Equilateral triangle", "B": "Isosceles triangle", "C": "Cannot be de... | A | mcq | Folding Problems of Figures;Properties and Understanding of Triangles | 2steps_56 | 2steps_multi | |
777 | [{"role": "user", "question": "As shown in the diagram, if angle A of the rectangle is folded along ED, then CD equals ( ) cm.", "hint": "", "options": {"A": "3 cm", "B": "2 cm", "C": "1 cm", "D": "5 cm", "E": "No correct answer"}, "choices": []}] | D | mcq | Folding Problems of Figures;Properties and Understanding of Rectangles | 2steps_57 | 2steps_multi | |
778 | [{"role": "user", "question": "As shown in the diagram, observe the shapes within the grid. The shape that cannot tile appears on the ( ) side of the pentagram.", "hint": "", "options": {"A": "Top", "B": "Bottom", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures;Up-Down Position | 2steps_58 | 2steps_multi | |
779 | [{"role": "user", "question": "As shown in the diagram, rotate the tiling shape around its side that is 4 cm long for one complete turn. The resulting solid figure is ( )", "hint": "", "options": {"A": "Cone", "B": "Cylinder", "C": "Cuboid", "D": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures;Properties of Cones | 2steps_59 | 2steps_multi | |
78 | [{"role": "user", "question": "There is a rectangular cake, now divided into four parts along EF and GH. Compared to the original perimeter of the cake, the added edge length is 20cm. This 20cm is equivalent to the length of:", "hint": "", "options": {"A": "3EF + 3HG", "B": "2HG + 2EF", "C": "EF + HG", "D": "4EF + 4HG"... | B | mcq | Division of Plane Figures | 2steps_78 | 2steps_1 | |
780 | [{"role": "user", "question": "In the diagram below, how many angles are there in the non-tessellating shape?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | C | mcq | Tessellation of Figures;Understanding and Representing Angles | 2steps_60 | 2steps_multi | |
781 | [{"role": "user", "question": "As shown in the diagram, among the following plane figures, the area of the figure that can be tiled is ( ) square centimeters.", "hint": "", "options": {"A": "300", "B": "400", "C": "500", "D": "600", "E": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures;Conversion Rates and Calculations Between Area Units | 2steps_61 | 2steps_multi | |
782 | [{"role": "user", "question": "As shown in the diagram, the sum of the interior angles of the tiling shape below is ( )", "hint": "", "options": {"A": "180°", "B": "360°", "C": "480°", "D": "720°", "E": "No correct answer"}, "choices": []}] | D | mcq | Tessellation of Figures;Sum of Interior Angles of Other Polygons | 2steps_62 | 2steps_multi |
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