Mbilwi Mathematics Club

Jack, John and James are identical triplets. It is impossible to distinguish them by appearance. Jack and John always tell the truth, but James always lies — everything he says is false. You know that the triplets are between 20 and 30 years old, 20 and 30 included. One day you meet two of the triplets and ask them how old they are. A One says “We are between 20 and 29 years old, 20 and 29 included”. The other makes the following statements: “We are between 21 and 30 years old, 21 and 30 included” and “One of us present is lying”. How old are they?

If the number A1234567B is divisible by 45, determine the value of A + B.

If 10^101 -1 is written out in full, find the sum of the digits.

if A B C D are angles of cyclic quid what is the value of cosA + cosB + cosC + cosD

Amesa 2018
Mbilwi did well
In level 2 we have position 1 MuKundi Mushaphi
In level 3 we have position 6 Khano Phidane and position 5 Navin Philip
We got a laptop 3 medals n a trophy

A certain value increases by a fixed amount each year. If the percentage increase during the first year was 10%, what was the percentage increase during the third year?

We are back

A witness reported that a car seen speeding away from the scene of a crime had a GP number plate ( eg: GHT 656 GP) that began with a V or a W, and the digits were 4,7 and 8. He could not remember the order
of the numbers or the other 2 letters that came after the V or W.
How many cars would need to be checked to be sure of including the suspect’s car?

When Fanie bought his train ticket, he received R3.20 in change. He noticed that for each coin in his change there was exactly one other coin of the same value. What was the coin of smallest value in Fanie’s change?

A mathematics competition consists of 30 multiple choice questions. 4 marks are awarded for a correct answer, -1 for a wrong answer, and 0 for a blank answer. What is the minimum number of participants needed to be sure that two of them will have the same score in the competition?

Get this right and win airtime from MMC