P5/P6 Math : Excess and Shortage (Multiples)

This question type deals with excess and shortage with multiples.
Very commonly seen in P5 SA2 and P6 exams.

Such questions can appear in Paper 2.
If so, calculator usage is allowed.

There are some cups and tables in a restaurant.

If each table is placed with 8 cups,

there will be 3 cups remaining that is not placed on any table.

If each table is placed with 10 cups,

there will be a shortage of 7 cups.

a) How many tables were there?

b) How many cups were there?

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P5 Math: Ratio: One Party Change

The question below deals with the ratio concept of only one party change.
Good practice for both P5 SA2 and P6 students.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Ben and Lenny have some cards.

At first, the number of cards that Ben have to

the number of cards that Lenny have was 1:5.

After Ben bought 18 more cards,

the ratio of Ben's cards to Lenny's cards became 1:2.

How many cards did they have altogether at first?

Here is the list of expensive trading cards in the world

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P4 Math: Before and After Fractional Change and Deduction

Such questions deals with the "Before and After" comparison models and
will commonly appear in P4 Section C in mid year SA1 or end of year SA2.

The P5 version of this question can be found "here".

Mark and Kelvin have total of $1075 altogether.
After Mark spent ⁷/₈ of his money and Kelvin spent $220 of his money,
each boy have the same amount of money left.

How much did they have left altogether at the end?

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P4 Math: Internal Transfer with Ending Multiples

Questions like the ones below will appear in P4 SA1 and SA2 papers in Section C.

A similar version of such question can also be found "here".

Bala has $156.
Teo has $40.

How much does Bala need to give Teo so that
Bala will have 3 times as much money as Teo at the end?

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P6 Math: 3 Parties Fractional Comparison (One Vs Sum of Two)

The following question is a high value 4 or 5 marks P6 Math paper 2 type questions.

Calculator usage is allowed.

Although it looks like a fraction problem sum,
this question requires the usage of two known ratio techniques in order to solve.

Abel, Benny and Carlise shared some stickers.

Half of Abel's stickers was equal to 1/4 of Benny's and Carlise's stickers combined.

1/4 of Benny's stickers was the same quantity
as 1/5 of the total of Abel's and Carlise's stickers.

What is the ratio of Abel to Benny to Carlise's stickers?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P6 Math: Every day same amount used

This is a 3 or 4 mark question that will appear in P6 mid year or Prelims Paper 2.
Calculator usage is allowed.

Timothy was given some flour to use.
He uses the same amount every day to bake cookies.
After 4 days, he has ³/₄ of the flour remaining.
After another 3 days, he has 540g of flour left.

a) How much flour was used everyday?
b) How much flour was Timothy given at first?

Recipe for baking Famous Amos cookies at home

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P5/P6 Math: Fraction of Remaining (Basic)

Questions that deals with fraction of total followed by "fraction of remaining" will usually appear in P5 mid year exams.

Such questions will appear in Paper 2.

Calculator usage is allowed.

Alan gave ¹/₂ of his marbles to Ben.

He gave ¹/₄ of the remaining marbles to David.

Alan has now 12 marbles left.

a) How many marbles did he give Ben?

b) How many marbles did Alan have at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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