Fun Math Quiz Answers and Puzzles
Explore the solutions to intriguing math problems and brain teasers in this quiz. From determining ages based on birthday riddles to calculating probabilities with breadsticks, tetrahedrons, and more, these answers will challenge and entertain you. Test your mathematical skills and logical reasoning with these engaging puzzles and solutions.
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The Quiz Answers
1. Birthdays On my last birthday, my friend said to me: In 15 years time, your age will be the square of your age 15 years ago! How old am I? A. 10 B. 19 C. 21 D. 23 E. None of the above
1. Birthdays Let ? be my age now. Then solve ? + 15 = (? 15)2 to get ? = 21,? = 10. On my last birthday, my friend said to me: In 15 years time, your age will be the square of your age 15 years ago! How old am I? A. 10 B. 19 C. 21 D. 23 E. None of the above
2. Snack time Break a breadstick in two places, what is the probability that you can make a triangle with the remaining pieces? A. 1/4 B. 1/3 C. 1/6 D. 1 E. None of the above
2. Snack time Break a breadstick in two places, what is the probability that you can make a triangle with the remaining pieces? A. 1/4 B. 1/3 C. 1/6 D. 1 E. None of the above A triangle is only possible if no section is larger than . Both breaks are on the same side of the midpoint with probability . If the breaks a and b are on different sides of the midpoint then the probability that a is further left in its half than b is in the right half is . Put these together to get the answer .
3. Old Ghizas Pharaoh Matheses built a square based pyramid filled with gold so that four sides are equilateral triangles and the base is a square. Pharaoh Matheses son, Bob, squandered a lot of gold in his lifetime. He took the four equilateral triangles from Matheses pyramid and built a tetrahedron (triangle based pyramid) filled with gold. How much gold does Bob s pyramid contain as a fraction of the gold that his father s pyramid contained? A. 1/2 B. 1/3 C. 3/4 D. 1/6 E. None of the above HINT: The volume of pyramid is 1/3 Height Area of the base
3. Old Ghizas Imagine that the square has side lengths 1. Using Pythagoras theorem, the height of 2 the square based pyramid is ?= 2and A. 1/2 B. 1/3 C. 3/4 D. 2/3 E. None of the above 2 the volume is ??= 6 We use Pythagoras theorem to calculate the height of the triangle based pyramid 6 6and the volume is ??= 2 ?= 12
4. Island A circular island is empty apart from 6 trees. A tree is hidden only when it lies directly behind another tree from the perspective of the observer. What is the highest possible number of people that can stand on the island, with each person seeing a different number of trees? A. 3 B. 4 C. 5 You may arrange the trees however you like. D. 6
4. Island A circular island is empty apart from 6 trees. A tree is hidden only when it lies directly behind another tree from the perspective of the observer. What is the highest possible number of people that can stand on the island, with each person seeing a different number of trees? A. 3 B. 4 C. 5 D. 6
