Monday, March 10, 2014

P6 Numbers (Factors and multiples. Fr: PSLE booklet??)

There are two numbers.  One number is 5 times the other.  .
(a) There are exactly 6 common factors between them.  If 1, 2 and 9 are three of them what are the other three factors? 
(b) What are the two numbers?

P6 Geometry (modified from PSLE booklet by CCL)

The figure below is made up of a square and an equilateral triangle.  Find Angle x.

Tuesday, February 25, 2014

Thursday, February 13, 2014

P6 Whole Numbers (Heuristics: Guess and Check, Algebra)

A courier company charged $18 for every large parcel and 
$10 for every small parcel safely delivered.  
However, it paid paid a penalty of $20 for every lost or damaged parcel regardless of size.  
If the company delivered 145 parcels (inclusive of safely-delivered or damaged ones)
and collected an amount of $1030, how many of each type of parcels did it deliver safely?  
(ie. how many Large, Small and Damaged parcels were delivered)
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WARNING: There are many, but finite number of, solutions to this problem.  Can you find them all? :)

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Here's my solution together with some insights into the problem. Check this out:
https://docs.google.com/document/d/1HI3C1ASeJgXVLSLkOWpO4R6zczlQdLuet2fIEB04Rec/pub



Wednesday, February 12, 2014

P6 Percentage (Fr CCL. Modified from Shaping Math worksheet)

In the beginning, there was a square.
Its length was decreased by 25% and its breadth was increased by 100 cm.
As a result the square had been transformed into a rectangle with the same area.
(a)What was the length of the initial square?

(b)What was its area?

P6 Ratio, Percentage (Fr Max, Nanyang Pri Ppr) tags: circle, triangle, rectangle

















Click here for my solution:



Friday, January 31, 2014

CNY math. P6 Whole numbers pattern (fr CCL)

This year (2014) is the year of the horse. What will the Zodiac be in the year 3000?

The Chinese Zodiac is in this order:
鼠牛虎兔龙蛇马羊猴鸡狗猪



Thursday, January 16, 2014

P6 Whole Numbers, Pattern (Modified from Rayson's Q)2

Study the pattern and answer the question parts below.
(a) Which column will number 26 be in?
(b) Which column will 2014 be in?

P6 Whole Numbers, Pattern (Modified from Rayson's Q)




Study the pattern and answer the question parts below.
(a) Which column will number 35 be in?
(b) Which column will 2014 be in?

Wednesday, January 8, 2014

P6 Clock Geometry, Algebra (Challenge question)

The clock face shows the hour and minute hands when the time is 11.34am.
(a) Calculate the acute/obtuse* angle between the minute and hour hands;
(b) Write a math statement in algebra for a general time H:M ,  where H is the hour and M is the minute.
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*not reflex angle.

Click here for my solution to (b).