Mathematics Worksheet: Maps & Directions (Preparatory Stage)
Based on NCERT/CBSE "Maps and Locations" chapter. Each question has an interactive answer and a hidden detailed solution for reasoning and spatial modeling.
Concepts
- What are the four cardinal directions?
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Answer: North, South, East, WestShow Solution
Solution: These are the main directions used on maps and for navigation. - If you face the rising sun, which direction is behind you?
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Answer: WestShow Solution
Solution: Sun rises in the east, so your back is towards the west (from chapter opening poem). - Which direction is to your left when facing north?
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Answer: WestShow Solution
Solution: Left when facing north is always west (verified on compass). - On a grid map, column numbers increase in which direction?
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Answer: EastShow Solution
Solution: Moving right on a grid (from animal locations questions)—increases eastward. - Name a tool used by both humans and animals for navigation.
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Answer: Compass or Sun (nature)Show Solution
Solution: Compasses for humans, sun/earth's magnetic field for birds and animals (chapter note). - What is the symbol key on a map used for?
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Answer: To show what symbols stand for (roads, hospitals, parks, etc.)Show Solution
Solution: Key explains symbols, so maps can be read and understood quickly. - Where does the number "1,1" locate a point on a grid map?
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Answer: 1st column (east), 1st row (north) — top left cornerShow Solution
Solution: 1st to the right, then 1st up—matches Panda example in Zoo activity. - Which metro line would you take from Qutb Minar to the Supreme Court (Delhi Metro)?
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Answer: Yellow Line, then Blue Line (change at Rajiv Chowk)Show Solution
Solution: Qutb Minar (Yellow), change to Blue at Rajiv Chowk, get off at Supreme Court—NCERT map activity. - What is perimeter?
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Answer: Total length around a shape or areaShow Solution
Solution: The continuous line forming the boundary of a closed shape. - How do you show hidden objects on a school map?
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Answer: Using dots, flags, or symbols marked on the mapShow Solution
Solution: Just as in the book sample map—symbols mark locations of hidden items.
Computational Skills
- Which direction will you face if you turn right from facing north?
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Answer: EastShow Solution
Solution: Turning right is a quarter turn clockwise; from north, that's east. - If a bus travels north and turns left, which direction is it now heading?
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Answer: WestShow Solution
Solution: Left from north is west (road map question). - On a grid, if an ant starts at (0,0) and crawls 2 cm east, where does it reach?
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Answer: (2,0)Show Solution
Solution: Start at origin; move right (east) to column 2, row remains 0. - To reach sugar, the ant must crawl 3 cm east. From (0,0), where is sugar?
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Answer: (3,0)Show Solution
Solution: Each cm east is +1 column; so three steps right is (3,0). - If the ant needs to get to (2,3), what is one possible shortest route in centimeters and directions?
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Answer: 2 cm east, 3 cm northShow Solution
Solution: Move 2 units east, then 3 north (or vice versa). - If the lion is at (6,4) on the zoo grid, how many steps from (1,4) horizontally?
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Answer: 5 steps eastShow Solution
Solution: From 1 to 6 is five steps east, same row. - If you mark flags at (8,3), (2,9), (7,3), how many lie east of the (2,9) flag?
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Answer: Two (8,3) and (7,3)Show Solution
Solution: Column number higher than 2 means east. - In a metro diagram, if you follow the Yellow Line two stations north, then Blue Line one east, how many total lines did you use?
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Answer: Two (Yellow and Blue)Show Solution
Solution: Each color line = unique route; changing counts all. - If your school’s main gate faces east, in which direction are you walking to enter?
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Answer: WestShow Solution
Solution: Entering east-facing gate means moving towards west. - What is the shortest way for an ant to go from (0,0) to (3,2) on a grid?
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Answer: 3 cm east, 2 cm north (any order)Show Solution
Solution: Always minimum steps: total horizontal and vertical.
Problem-Solving & Real-World Modeling
- Your window is on the north wall, and your bed is on the west. If you face north, which hand points to the bed?
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Answer: LeftShow Solution
Solution: Facing north, left points west, matching bed position (room map question). - On the Delhi Metro, if you start at Supreme Court and change at Rajiv Chowk for Green Line, which station do you board next (with reference to the map)?
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Answer: Inderlok or Kirti Nagar (Green Line interchanges)Show Solution
Solution: Rajiv Chowk is a major interchange (map interpretation question, modify as per real map). - If a bus moves north, then two right turns, which direction is it facing at the end?
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Answer: SouthShow Solution
Solution: North → right (east) → right (south) - You place a toy at (5,6) on a school map. What are the steps from (1,6)?
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Answer: 4 steps eastShow Solution
Solution: Add 4 columns east, row same. - If a tent is closest to the lake (map), which direction is it from the lake?
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Answer: South (based on NCERT camp riddle)Show Solution
Solution: Closest tent is directly south. - Draw a map of your classroom. If you put the blackboard on the north wall, where would you sit to face it?
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Answer: Facing north (so you see the board)Show Solution
Solution: Face blackboard direction; your back is south. - On a zoo map, Elephant is at (4,1) and Panda at (1,1). How many steps and in which direction from Panda to Elephant?
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Answer: 3 steps eastShow Solution
Solution: Column: 1 → 4, same row. - Your home is west of a park. If you want to play, which direction must you go?
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Answer: EastShow Solution
Solution: West → east to reach park. - If the bus stop is north of your school, in which direction do you walk to catch the bus?
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Answer: NorthShow Solution
Solution: Move north to reach stop. - Challenge: On a grid, what is the shortest way from (0,0) to (5,5)? How many total steps, and which different routes are possible?
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Answer: 10 steps (5 east, 5 north); many orders possible (e.g., EENNEENN...)Show Solution
Solution: Each E or N; in total, 10 moves (combinatorial options).