Compilation of all things math --- questions obtained via students' consultation, related math sites. * Do also check out my EduTech contributions at go.gov.sg/changcl
Friday, March 20, 2026
Saturday, March 14, 2026
Pi Tank Experiment . P6 circles
The famous 3-question diagnostic often used by math educators is the Cognitive Reflection Test (CRT) created by Shane Frederick.
It reveals whether a person relies on quick intuitive answers or careful analytical thinking—something very relevant when diagnosing how students approach math.
Here are the three classic questions.
1️⃣ The Bat and Ball Problem
A bat and a ball cost $1.10 in total.
The bat costs $1 more than the ball.
Question:
How much does the ball cost?
_____
2️⃣ The Machines Problem
If 5 machines take 5 minutes to make 5 widgets,
how long would 100 machines take to make 100 widgets?
____
3️⃣ The Lily Pads Problem
In a lake, a patch of lily pads doubles in size every day.
If it takes 48 days for the patch to cover the whole lake,
how long does it take to cover half the lake?
____
Source: ChatGPT
Friday, March 13, 2026
Tuesday, March 10, 2026
Kaprekar Constant
On 5 Mar 2026, at 10:43 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:
https://www.instagram.com/reel/DVgL67jCJQU/?igsh=MW55cGJpa3VibXNxZA==Sent from my iPhone<640399558_895587199905856_5400233353983412243_n.jpg>
Monday, March 9, 2026
Sunday, March 8, 2026
Saturday, March 7, 2026
Re: P4, P5, P6 Whole numbers (max / min)
On 3 Mar 2026, at 5:43 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:
Terry and Jerry had 320 stamps and 180 stamps respectively when rounded to the nearest ten.
(a) What is the minimum possible number of stamps they have altogether?
(b) What is the maximum possible number of stamps they have altogether?
(c) What is the maximum possible difference in the number of stamps betweenTerry and Jerry?
(d) What is the maximum possible difference in the number of stamps betweenTerry and Jerry?