Question of the Day #17

JC Mathematics, Secondary Math, University Mathematics

This is a pretty cool and interesting question from AMC.

Source: 3qdigital.com
Source: 3qdigital.com

There are four lifts in a building. Each makes three stops, which do not have to be on consecutive floors on include the ground floor. For any two floors, there is at least one lift which stops on both of them. What is the maximum number of floors that this building can have?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 12


O’levels Results 2016!

JC Chemistry, JC General Paper, JC Mathematics, JC Physics, Secondary Chemistry, Secondary Math

All of us wish the students receiving the O’levels Results 2016 the best! And do not let grades define you. 🙂

If you’re keen to meet up with us for the JC Talk, you may contact Newtonapple Learning Hub at +65 9222 3423 for more details.

This talk will be opened freely to the public and existing students. There will be discussion about Subject Combinations, discussion and introduction with different subjects. Come down to find out more 🙂

Trick to squaring numbers

JC Mathematics, Secondary Math

Many students go wow when I evaluate workings, without a GC. I’m not showing off, but it is because I don’t really carry a calculator with me. haha. So some students do ask me how I evaluate the square of numbers so quickly. I thought, in light of A-level’s coming, I should share something interesting.

Firstly, we trace back to a formula that we saw in primary school.

(a+b)^2 = a^x + 2ab + b^2

This formula is really going to be the core of us solving any square of numbers.

Next, we just need to split the number that you want to square effectively. So consider,

63 = 60 +3
63^3 = (60+3)^2 = 60^2 + 2(60)(3) + 3^2

Some students will ask why not use (a-b)^2 instead. This is plausible, but we usually are better with addition than multiplication hah.