#### North Oxford

North Oxford, OX2 7JL

# Problems of the week

Dec 3, 2018 | North Oxford

YEAR 1-2:

Question: A woolly mammoth weighs 6 tons. A ton is 1000 kilograms. If a caveman weighs 100 kilograms, then how many kilograms heavier is the woolly mammoth than the caveman?

YEAR 3-4:

Question: The probability that a saber-toothed tiger catches its prey is 3 out of 4. If a saber-toothed tiger has caught the past 3 rhinos it chased after, what is the probability that it will catch the next rhino it chases?

YEAR 5-6:

Question: A Neanderthal hunting party caught between 20 and 30 animals. If a sixth of the animals were reindeer, a fourth of them were goats, a third of them were sheep, and the rest were rabbits, then how many rabbits did the Neanderthals catch?

Algebra and Up:

Question: The Siberian unicorn, a ginormous prehistoric rhinoceros-like animal, survived until around 37 000 BCE. Assume the population of Siberian unicorns was exactly 262 144 in the year 39 000 BCE and followed the model f(t) = 262 144(2)-t, a function of t time in centuries. According to the model, what year did the population of Siberian unicorns decline to exactly 1? You may use your calculator to solve this problem.