Page 10 - 2020-2021 School Newsletter Issue 9

MATHEMATICS
Maths Challenge

1.

The figure below shows different views of a cube.

What is the figure opposite to the face ?

A. B. C. D.

2.

Find the number of parallelograms in the figure below.

3.

Define (xey) as the units digit of the product of x and y. [e.g. : (3e7) = 1]
Find the value of the following expressions.

(a) (1e4) + (2e5) + (3e6) + (4e7) + … + (97e100)
(b) (((1e2)e3)e4) + (((5e6)e7)e8) + … + (((97e98)e99)e100)
4. In the following expression, each letter represents a unique digit.

(a) Suppose T = 1. Find the values of the other letters.
(b) Suppose T≠1. Find the values of the other letters.
5. Suppose m and n are positive integers. Solve .

Answers can be found on p.20.
10 NEWSLETTER ISSUE NO.9