sexta-feira, 3 de março de 2023

New Math Challengers - For ntermediate students!

1 – Translated and adapted from Admissão ao 2º Grau do CMB – Colégio Militar de Brasília.

A mother was to work and left some Money for her three kids with a message:  “divide uniformly this Money among you. Kisses, your mother”.
The first kid took his part, and got away.
The second teen didn’t see anybody and thought he was the first, and then he took his part of the money and got away.
The third adolescent found four R$ 5,00 bills. He knew he was the last one, then took the bills and got away.

Answer:              

1)   How much money did the first son take?
2)   How much money did the second teenager take?
3)      How much money did mother leave?

2 – Adapted from Estratégias de Leitura para Inglês Instrumental, by Oliveira, Sara R.F. Edit.  UnB; 2ª Ed. 1996. P28.

   A philosopher had two hours to spend in a small town and decided to cut his hair.  The town had only two barbers, each one with own his shop.
  The logician entered in the first barber shop and saw that it was extremely disordered. The barber needed cut his beard, his clothes were disorderly and his hair was badly cut.
     He entered in the other shop and it was extremely ordered. The barber was freshly shaved, precisely dressed and his hair was uniformly cut.
     The philosopher returned to the first barbershop for his haircut.

Why?       How can you explain this?


3 – Adapted from PAS/UnB:

“On the road to Saint Ives
I met a man with two wives.
Every wife had two sacks.
Every sack had two cats.
Every cat had two kits.
Kits, cats, sacks and wives.
How many were on the road to St. Ives?”


4 – A pastor has to celebrate a marriage, and he has to know the wife’s age.


He asks her: “how old are you?”
She answers him: “I am half of my mother’s age.”
The minister then asks to the lady’s mother. “How old are you?”
Mother answers him: “I am twenty years old less than my husband.”
Then the priest asks to the bride’s father: “How old are you?”
He answers him: “The total age of my daughter, my wife, and my personal age sum a century and twenty.”

Please permit this marriage. Calculate the age.  Calculate the bride’s age!



5 – A red car starts from Gama City to a rodeo in Goiânia City in a medium velocity of 80 Km/h, at ten a.m.  Another car, a blue one, proceeds from Goiânia to Gama in an average speed of 60 km/h, one hour before. (Consider the distance between the two cities, final point, with 240 km).

a)      What is the average speed of each car?
b)      What time will each car arrive in destiny?
c)       When the cars cross themselves, which one will be nearest Gama?

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