P5/P6 Math: Partially-filled Container becomes Lighter

Question like these gives a total mass of a container that is partially filled. (fraction)

The mass given includes the contents of the container and also the mass of the container itself.

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is accepted.

More of such questions (of varying difficulty) can also be found here.

A glass container, when ⁷/₈ filled with pebbles, has a mass of 1780g.

After 243g of pebbles were poured out, 

the glass container is now half filled with pebbles.

What is the mass of the glass container?

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P5/P6 Math: Same Container Filled with Different Fractions of Liquids

Such questions refreshes the concept of P4 constant difference where the student cannot ignore the presence of the container that is holding the items within.

Questions like these usually appear in Paper 1 of P5 and P6 exams.
Calculator usage is not allowed.

Similar versions of this concept with varying difficulties can also be found "here".

A bottle, when completely filled with water, has a mass of 1000g.

The same bottle, when only ¹/₂ filled, is 600g.

a) What is the mass of the empty bottle?

b) What is the mass of the bottle if ¹/₄ filled with water?

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P4/P5 Math: Same Container Holding Different Multiples of Objects

The following question is a P4 and P5 question that does not require a calculator.

The total value of container holding more items is given.

The total value of the same container holding lesser items is also known.

Such questions are common in Paper 1 of P5 and Section C of P4 exams.

Calculator usage is not allowed.

The same concept can also be presented in P6 questions in this manner

A box that holds 8 bars of soap,

has a combined mass of 2400g.

The same box holding 5 bars of soap,

has a combined mass of 1800g.

What is the mass of the box?

How soap is made

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P4 Math: Constant Difference

The question type below introduces the concept of constant difference.

Such questions often appear in P4 exam papers in Section C.

In a stationery shop, 3 pencils and 1 notepad costs $10 altogether. A notepad with 5 pencils costs $16 altogether. How much does each pencil cost?

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P6 Math: 3 Parties but only sum of 2 given

The question below usually appear in many schools' Prelim Papers just before the PSLE.

Such questions will appear in Paper 2.  

Calculator usage is allowed.

This question revisits a similar P4 concept here.

Harry and Randall and Patrick made some paper flowers for a charity event.
The number of paper flowers made by Harry and Randall was 290.
The number of paper flowers made by Randall and Patrick was 728.
Patrick made thrice as many paper flowers as Harry.

How many paper flowers did the 3 boys make altogether?

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The question below will randomize with different numbers every hour. 

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