MathematiCo Sample Questions for Secondary Junior Level

You want to explain to him explain how gravity acceleration works on your planet by describing the
following formula in their Math language:

S = vt + 4.9t2

How will this formula look in the mathematical language of the alien?Deselect Answer

Let us consider the simpler 2D case. Those who play pool, will know that the most efficient way
to “squeeze” circles into a given area is to use hexagonal packing, as shown below



Packing efficiency is defined as how efficiently the space is used, i.e. the area of the circles divided
by the total area used (including ‘between’ circles). If the 2D hexagonal packing is extended
infinitely, what is the packing efficiency?Deselect Answer

The greatest number of items that cannot be purchased is given by the formula

mn – m – n

if the items can only be purchased in groups of m and n.
Hence, the greatest number of nuggets that cannot be purchased is:
9(20) – 9 – 20 = 151 nuggets. Any larger number of nuggets can be purchased. For example, 152
nuggets can be purchased in 4 bags of 20 and 8 bags of 9, and 153 nuggets can be purchased in
17 bags of 9.
Another restaurant sells chicken wings in boxes of 7 and 16. What is the greatest number of chicken
wings that cannot be bought?Deselect Answer

What is the minimum cost required to house the travellers, given that the family of three must stay in
one room, and each couple must not be sharing their room with another person?Deselect Answer

The white knight can move to any square with a white dot, and the black knight can move to any
square with a black dot.

 

What is the minimum number of moves needed for a knight to move from the red square to the
green square?Deselect Answer