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| Triangles on roller coasters' structures provides strength in its support |
Questions like these require students to be able to draw model to represent the first fraction of total before processing the rest of the numerical values to represent the remainder.
A part whole model will allow students to be able to process the remaining using the given numerical values.
Such questions often appear in Section C of P4 exam papers.
What is the volume of milk in the carton at first in millilitres?
A mixed number is used to represent the mass of a substance.
This mixed number next undergo fractional decrease.
The fractional decrease may or may not include the units of measure.
Such variation will result in different method of solving and the answers will be different.
Such questions usually appear in Paper 1 of P5 Papers.
Calculator usage will not be allowed.
An easier version of this fraction problem sum can be found here.
An expert version of this question can be found here.
| Sean has 2 3⁄4 litres of milk. | Melissa has 2 3⁄4 litres of apple juice. |
| He drank 1⁄2 litre of the milk. | She drank 1⁄2 of the apple juice. |
| What is the volume of milk he has left? | What is the volume of juice she has left? |
This question type shows that one of the parties changed, causing the fractional comparison to become different at the end.
The solution requires students to make use of "Before and After" comparison models.
Such questions are common in P4 exams, often appearing in Section C of the paper.
How many stickers did both have altogether at first?
A group of items is being split into 2 using fractions.
Each of the group is being sub-divided again using another pair of fractions.
Such questions require the student to recognise the repeated identity in order to ensure that the fractional split in each group is correctly processed.
These questions often appear in Paper 2 of P5 and P6 exams.
Calculator usage is allowed.
A similar version of this question using percentages can also be found here.
How many grapes were there at the basket at the start?
Pattern questions that deals with constant increment can be solved using a certain "3-step method".
The pattern shown below, however, is not exactly showing a constant increment between every consecutive pattern.
Such questions are common in P6 Prelim Paper 2.
Calculator usage is allowed
| Pattern | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Tiles | 25 | 26 | 28 | 29 | 31 | 32 | 34 |
a) How many tiles will there be in pattern 11?
b) In which pattern will there be 145 tiles?
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| Mosaic tiles commonly used in swimming pools |
The following question is on "Circles".
Students needs to visualize a line fixed on one end that can be used to draw "circles" or a fraction of a circle around a square perimeter.
Such questions will appear in Paper 2 of P6 Prelims.
Calculator usage is allowed.
What is the maximum area outside the house that the dog can roam freely?
Take π to be 3.14
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If the above question is easy, try to do the more challenging question below.
Fractional comparision between 2 parties are taught in P4 after they become familiar with multiples such as twice, thrice, 4 times and 5 times, etc.
Instead of
Alan has twice as much as Beth
the same sentence could now be expressed as
Beth has 1/2 as much as Alan
With this in problem sums, students must be able to draw model to express the comparison between 2 parties.
How many lesser boxes does Amos have than Marvin?
The following question types provides both the starting and ending totals between 2 parties. There is an percentage internal transfer that took place before another percentage external transfer taking place.
"Before and After" and "Percentage" and "Internal Transfer" concepts will useful in solving these questions.
Such questions are common in Paper 2 of P6 Prelim exam papers.
Calculator usage is allowed.
How much did Elizabeth give to Annie?
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| Are you a victim of fast fashion? |