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Maths Challenges Set :

(2)
...

SET 2 (level : form 3 onwards)

 

Question 1 :

set2 q1

When Alvin was 14 years old, his mother was 42 years old, which was 3 times his age. Now Alvin's mother is twice his age, how old is Alvin?

Answer :  28 years old .

set2 q2

Question 2 :

All six digits of three 2-digit numbers are different. What is the largest possible sum of three such numbers?

Answer :  255 .

set2 q3

Question 3 :

Let N be the smallest positive integer whose digits add up to 2012. What is the first digit of N +1? 

Answer :  6 .

set2 q4

Question 4 :

A boy stands on a set of faulty scales that record his weight as 52kg.

 

His sister's weight is recorded as 56 kg and their combined weight is recorded as 111 kg.

 

What is the true weight of the girl?

 

Answer :  59 kg .

set2 q5

Question 5 :

Professor Lee runs to work every day. On Thursday he ran 10% faster than his usual average speed. As a result, his journey time was reduced by x minutes. How many minutes did the journey take on Wednesday?

 

Answer :  11x  minutes .

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