Mathematics Worksheet: Positions, Views & Mapping (Preparatory Stage)
Based on NCERT/demm102.pdf – questions on game strategies, object views, grids, and maps. Answers and stepwise solutions are hidden for self-learning and classroom discussion.
Concepts
- What is a "top view" of an object?
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Answer: How an object looks from directly above.Show Solution
Solution: E.g., seeing a school bus roof by looking down from above. - Name two common views used in drawing solid objects.
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Answer: Top view, Side view, Front viewShow Solution
Solution: Common in geometry and real-life modeling; covered in the "Hide and Seek" chapter. - What do you call the horizontal lines on a grid?
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Answer: RowsShow Solution
Solution: Rows go left to right; columns go up-down. - What is the purpose of a map or grid in a search game?
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Answer: To show precise positions and plan/search pathsShow Solution
Solution: Helps to find, describe, and communicate locations (as in the classroom map example). - If you see a desk from the front, which view is it?
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Answer: Front viewShow Solution
Solution: Just like NCERT: “View from which you face the object.” - When following path clues on a grid, what do "first row, third column" mean?
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Answer: Row: left-right, Column: up-down; first leftmost row, third upward columnShow Solution
Solution: E.g., “Draw the ball at bottom left corner”: first row, first column. - Which view do you get when looking at a tree from the sky?
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Answer: Top viewShow Solution
Solution: Like a bird or drone would see; from above. - Which clues can you give to help someone find a hidden object in a classroom map?
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Answer: “It is two desks from the front, three from the left,” etc.Show Solution
Solution: Directions are given by counting rows and columns, as in grid activities. - What is a "side view" of an object?
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Answer: How the object looks from the left or right side.Show Solution
Solution: Different from front/top; e.g., a brick’s side profile. - If you view a building from the street, which view is it?
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Answer: Front viewShow Solution
Solution: Like looking straight at the building’s entrance.
Computational Skills
- Given a 3 × 3 grid, in which cell is the middle?
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Answer: Row 2, Column 2Show Solution
Solution: Middle is always at center. - In a row of 5 desks, which desk is third from the left?
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Answer: The middle one: Desk 3Show Solution
Solution: Count: 1, 2, 3 from left. - How do you indicate a position on a grid?
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Answer: By row and column number, e.g., (2,1)Show Solution
Solution: First number is row, second is column. - If a friend moves 4 steps to the right from (1,1) on a 5-column grid, where will they be?
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Answer: Position (1,5)Show Solution
Solution: Stay in same row, add to column. - On a classroom map, if Rani sits in row 2, desk 3; and Bholu in row 1, desk 4, who is further back?
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Answer: Rani (row 2 is farther back than row 1)Show Solution
Solution: Row number increases as you move backward. - In a “treasure grid”, a move “2 steps left, 1 up” from start (3,3) lands at?
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Answer: (2,1)Show Solution
Solution: Subtract columns, add to row. - If “X” is hidden in row 1, column 2, and a player is at row 3, column 2, how many steps up?
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Answer: 2 steps upShow Solution
Solution: 3 → 2 → 1 is 2 steps. - Which view would help you decide if two bricks are stacked or side by side?
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Answer: Side view or top viewShow Solution
Solution: Top: see side-by-side; Side: see height stacking. - Match: (a) Top view of a bus (b) Front view of a house (c) Side view of a pencil
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Answer: (a) Rectangle, (b) Triangle on rectangle, (c) Thin rectangle (with or without point)Show Solution
Solution: Shapes as per how the real object looks from each view. - If you must draw an apple in the center cell of a 3 × 3 grid, which cell?
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Answer: Row 2, Column 2 (middle cell)Show Solution
Solution: For 3 × 3, center is always row 2, col 2.
Problem-Solving & Real World Modeling
- In a “grid game,” which is shorter: starting at (1,1), two steps up to (3,1) or three steps right to (1,4)?
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Answer: Two steps up (shorter path)Show Solution
Solution: Compare step count. 2 < 3. - When finding a desk in a row and column map, what clues would you give?
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Answer: Row number and column number; e.g., “third row, second column”Show Solution
Solution: Standard map or classroom language: row first, then column. - If you draw a drone map, which places should you label to make school navigation easy?
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Answer: Main gate, playground, classrooms, library, principal’s officeShow Solution
Solution: Key places for finding paths or giving directions. - How do you find the shortest path in a “school sight map”?
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Answer: Trace possible routes, count steps, choose smallest number.Show Solution
Solution: Use colored pencils or arrows (as per NCERT example). - What are two ways to mark a position on a map?
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Answer: Draw a symbol (e.g., dot or flag), or write row/column numbers.Show Solution
Solution: Position is location; can be visual (symbols) or coordinate (numbers). - If a “treasure” is in third row, third column, which path gets you there in least steps from start (1,1)?
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Answer: 2 steps right, 2 steps up (total 4 steps—no diagonals allowed)Show Solution
Solution: Move right to third column, then up. - In a classroom map, if the blue bag is 1 desk left of Rani, where does Rani sit?
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Answer: Desk right to the blue bagShow Solution
Solution: If blue bag in (2,2), Rani in (2,3) - Challenge: On a 3×3 grid, give clues to another student to reach the apple in as few steps as possible.
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Answer: "Go to the center cell: one right, one up."Show Solution
Solution: E.g., from lower left, right 1, up 1; customize to start position. - Challenge: In the school map, which is the shortest route from playground to IT room? How do you decide?
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Answer: Trace all routes, count steps, pick the least.Show Solution
Solution: Compare with colored pencils for clarity, as shown in NCERT tracing. - Why are top/front/side views important for describing school objects?
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Answer: Helps everyone identify, locate, and make models accurately.Show Solution
Solution: Communication and construction (NCERT); essential for architects, engineers, and math students!