A child is playing a game by placing four straight sticks on the grand.She scores 1 point for every crossing point made. She cannot break any of the sticks.What is the largest number of points that she can score
Correct answer: C. 6
- A. 4
- B. 5
- C. 6
- D. 7
Explanation
The largest number of crossing points that can be achieved by placing four straight sticks is 6. Each new stick can intersect with all the previous sticks already laid down. The first stick has no intersections, the second can intersect the first, the third can intersect the first and second, and the fourth can intersect the first three. This results in 0 + 1 + 2 + 3 = 6 intersections. Option A (4) and Option B (5) do not utilize the full potential of intersections. Option D (7) is not possible with only four sticks without breaking any, which is against the rules of the game.
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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.
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