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# Mathematics high school level quiz Part II

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Mathematics Quiz for high school

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### Mathematics high school level quiz Part II

1. 1. The Doing Part 1
2. 2. Aha !! Captain Quirk meets Alfy, Betty and Gemma – 3 aliens. There are two species of aliens Gibberish (who lie) and Veracitors (who say the truth) Captain to Alfy: To which species does Betty belong? Alfy: Gibberish Captain to Betty: Do Alfy and Gemma belong to different species? 2
3. 3. Aha !! Betty: No Captain: Gemma, To which species does Betty belong? Gemma: Veracitor Captain: That settles it – we know which one of these belongs to which species 3 Do you know?
4. 4. 4 Flex your brain cells Solve the following:  ABCD x 4 = DCBA  ON x 4 = GO  The number AABB in Base 10 is a perfect square of an integer x. Find x.
5. 5. 5 Magic and magic Make a 4x4 magic square I want to arrange 15 cards as follows: 4 5 9 Arrange the cards such that each card is the difference between the two cards immediately below it
6. 6. What did the farmer buy? A cow costs Rs 10, a pig Rs 3 and sheep 50p. (Well – accept the prices for now!) A farmer buys 100 animals and atleast one animal of each kind, spending a total of Rs.100. How many of each animal did he buy? 6
7. 7. 7 What is wrong here? a = b =1 a2 = ab a2 – b2 = a2 – ab (a+b)(a-b) = a (a-b) Canceling (a-b) on both sides, we get (a + b) = a 2 = 1 !!! Prove that P4 + 4 is always a composite number for any p >1
8. 8. 8 How does this work? Cat Rhinoceros Leopard Lion Rattlesnake Elephant Tiger Porcupine Hippo-potamus Donkey At a party, the Children take turns Choosing an animal. They spell out the Name as you tap successive point of the 10-pointed star. You must start at rattlesnake and move clockwise. As the child spells the last letter of their animal, You Tap the correct animal