Answer the following questions. Show your work if you need to!
Question 1 (Word Problem): A game maker wants to place a star. The star starts at the spot (X=2, Y=1, Z=10). She moves it 5 units to the right (on the X line) and 3 units up (on the Y line). What are the star's new X, Y, and Z numbers? (The Z number does not change.)
SVG Diagram Needed: A 3D coordinate system with a star initially at (2, 1, 10). An arrow shows movement +5 units along the X-axis to (7, 1, 10), and another arrow shows movement +3 units along the Y-axis to the final position (7, 4, 10). Labels for X, Y, and Z axes should be included. The Z-coordinate remains unchanged.
(Keywords: 3D coordinates, X-axis, Y-axis, Z-axis, movement, translation)
Question 2: A game block is 4 units wide. You use a tool to make it 2.5 times wider. How many units wide is the block now?
SVG Diagram Needed: A block 4 units wide. An arrow indicating scaling by 2.5x, resulting in a block 10 units wide. Label the widths.
(Keywords: scaling, multiplication, width, block)
Question 3: You are building a flat floor for a room. It is a rectangle. It is 9 units long and 6 units wide. What is the area of the floor, in square units? (Hint: Area is length times width).
SVG Diagram Needed: A rectangle representing the floor with sides labeled '9 units' and '6 units'. Inside the rectangle, the area should be visually divided into a 9x6 grid of squares. A label indicating the total area '54 square units'.
(Keywords: area, rectangle, length, width, grid)
Question 4: A toy car in a game moves 3 units every second. How far will the toy car move in 7 seconds?
Question 5 ('What if' Scenario): What if your game gives 1 power gem for every 4 coins a player collects? If a player collects 12 coins, how many power gems will they get?
SVG Diagram Needed: Groups of 4 coins each. Show 3 groups of 4 coins, totaling 12 coins. Each group corresponds to 1 power gem. Visually link each group of coins to a gem. Show 3 power gems in total.
(Keywords: groups, coins, gems, division, ratio)