MathematiCo Sample Questions for Secondary Senior Level

Welcome to your MathematiCo Sample Questions for Secondary Senior Level

Name

Shown below is Google’s COVID-19 data as of November 2020

Which of the following conclusions is the most false?Deselect Answer

A. Italy has over one million cases in total

B. There are fewer than 100,000 new cases per day in the United States

C. The number of new cases have been decreasing in India over the last two months

D. The number of new cases is increasing worldwide

None

An astronomer observing a newly discovered star notices that it dims for 21 seconds, then brightens for 15 seconds, then dims again for 21 seconds, and so on periodically. The dimming / brightening pattern

After 199 minutes, how many times has the star brightened after dimming?Deselect Answer

A. 119 B. 109 C. 129 D. 99 None

Engineers in Space X are experimenting with a new system of navigation based on the 3D system of coordinates (x, y, z) with one unit equal to 10 00 km. In this system of coordinates (0, 0, 0) is the Earth. Logblock (flight log) of the satellite has the following records:

How far is the satellite at the end of the fourth day?Deselect Answer

A. 225 600 km

B. 104 400 km

C. 360 000 km

D. 60 000 km

None

For a positive integer n, we write ?(n) to say how many positive divisors n has.For example, because 6 has four divisors, which are 1, 2, 3, and 6, we have ?(6) = 4.Three positive integers a, b, c are given such that the sum ?(a) + ?(b) + ?(c) is an even number.

What is the smallest possible value of a + b + c ?Deselect Answer

A. 2 B. 3 C. 4 D. 5 None

In a game show, the contestant is asked to take out some balls out of a jar without looking. If he/she takes at least 19 balls of the same color, then he/she wins $20 000. However, taking each ball comes with a cost of $10. For example, if the contestant takes 19 balls and, being extremely lucky, the 19 balls are all the same color, then he/she wins $20000 but has to pay $190 for the balls, netting him/her $19 810

It is known that the jar contains exactly 100 golden balls and 100 silver balls. The contestant
wants to be absolutely sure that he/she gets at least 19 balls of the same color, but doesn’t want
to pay too much for the balls.
What is the smallest number of balls that the contestant should take?Deselect Answer

A. 13 B. 19 C. 37 D. 51 None

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