At first, John had some money. He spent 1⁄4 of it on a T-shirt and 2⁄5 of the remainder on a pair of shoes. After that, his parents gave him $120. The ratio of the total amount of money he had at [...]

One of the more challenging P5 question involving Whole Numbers: Peter put a total of 2250 paper cranes into 5 blue bottles and 2 green bottles. The total number of paper cranes in the green [...]

How to solve Primary 2 heuristic problem sums involving “Calendar”? Most primary 2 children are able to solve “Time” related problem sums except for “Time” [...]

How to solve Primary 4 heuristic problem sums involving “all change”? Out of all the types of “Before-Change-After” problem sums, the more challenging ones are those that [...]

How to solve Primary 3 heuristic problem sums involving Grouping? A bicycle shop has an equal number of bicycles and tricycles. The total number of wheels is 480. How many bicycles does the [...]

How to solve Primary 5 heuristic problem sums involving Whole Numbers and Fractions? B represents a whole number. 1⁄4 of B is less than twice of B by 42. What is the value of B? Solution. 42 ÷ 7 [...]

How to solve Primary 4 heuristic problem sums involving Decimals? John and Peter had an equal amount of money at first. After John received $108.40 from his father and Peter spent $66.20, John [...]

How to solve problem sums involving Common Identity? Common Identity Concept is first introduced and tested extensively in Primary 3. Below is an example of a Common Identity Concept question. A [...]

How to solve Remainder Theory problem sums? Remainder Theory Concept is first introduced at Primary 4. Below is an example of a typical Remainder Theory question. Peter bought a book to read. He [...]

In the rectangle shown below, the ratio of SA : AB : BQ = 3 : 2 : 5, CR is 3⁄4 of QC and PB = QB. QS is a straight line. Find the ratio of the shaded region to the area the rectangle PQRS. [...]