Math for - Adding riddles and puzzles to the quest

Math Questions

Answer the questions below. Show your work!

  1. Word Problem (Area): You need a sign for a secret message in your game. The sign is shaped like a rectangle. It is 10 game units wide. It is 4 game units tall. How much space (area) is on the sign for your message?

    SVG Diagram Needed: A rectangle 10 units wide and 4 units tall. The rectangle should be divided into a grid of 1x1 unit squares. Label the width as '10 units' and the height as '4 units'. The total number of squares (40) should not be explicitly shown, encouraging the student to calculate the area.

    (Keywords: area, rectangle, units, grid, multiplication)

  2. Coordinates: A text box for a riddle is at screen spot (X is 20, Y is 30). You move it 15 spots to the right. You also move it 5 spots up.

    1. What is its new X spot?

      SVG Diagram Needed: A simple Cartesian coordinate plane (x and y axes) with a point marked at (20, 30) labeled 'Start'. An arrow pointing 15 units to the right (horizontally) from the start point ends at a second point labeled 'End (X, 30)'.

      (Keywords: coordinates, x-axis, y-axis, movement, addition)

    2. What is its new Y spot?

      SVG Diagram Needed: A simple Cartesian coordinate plane (x and y axes) with a point marked at (35, 30) labeled 'Start'. An arrow pointing 5 units up (vertically) from the start point ends at a second point labeled 'End (35, Y)'.

      (Keywords: coordinates, x-axis, y-axis, movement, addition)

  3. Scale: You have a picture for a clue. It is 6 game units wide and 8 game units high. You want to make the picture 2 times bigger.

    1. What will be the new width?

      SVG Diagram Needed: A picture represented by a rectangle 6 units wide and 8 units tall labeled 'Original: 6 x 8'. Next to it, a larger rectangle, scaled up by a factor of 2, labeled 'New: ? x 8'

      (Keywords: scale, width, height, multiplication, proportion)

    2. What will be the new height?

      SVG Diagram Needed: A picture represented by a rectangle 6 units wide and 8 units tall labeled 'Original: 6 x 8'. Next to it, a larger rectangle, scaled up by a factor of 2, labeled 'New: 12 x ?'

      (Keywords: scale, width, height, multiplication, proportion)

  4. Volume: You are building a puzzle block. It's a cube. Each side of the cube is 3 game units long. How much space does this cube block take up (volume)?

    An image of a cube with each side labeled '3 units'. The cube could be slightly transparent or have da...

    Static Image/Diagram Needed: An image of a cube with each side labeled '3 units'. The cube could be slightly transparent or have dashed lines for the back edges to enhance 3D perception.

    (Keywords: volume, cube, units, 3D)

  5. 'What If' (Speed and Time): A door for a puzzle needs to open. It has to move 15 game units.

    1. If the door opens in 5 seconds, how fast does it need to move each second?

      SVG Diagram Needed: A horizontal line representing the 15 units the door needs to travel. Divide the line into 5 equal segments, each labeled '1 second'. Below each segment indicate the distance covered in that second.

      (Keywords: speed, time, distance, division, movement)

    2. What if you wanted the door to open in only 3 seconds? How fast would it need to move each second then?

      SVG Diagram Needed: A horizontal line representing the 15 units the door needs to travel. Divide the line into 3 equal segments, each labeled '1 second'. Below each segment indicate the distance covered in that second.

      (Keywords: speed, time, distance, division, movement)