P6 Math: 3 Parties Before and After with Uneven Ratio at the End

A total of 3 parties are given at first.
Each of the party undergo increase or decrease and the end ratio is given.

Some of the increase/decrease are fractional and some are numerical.

Such questions are common in Paper 2 of P6 exams

Calculator usage is allowed.

An easier version of this question can be found here.

Elizabeth, Wendy and Lindy had a total of $483 at first.

Elizabeth was given more money by her parents and had double of what she had at first.

Wendy spent $67 on a pair of ballet shoes and Lindy's brother gave her another $94.

In the end, the ratio of remaining money of Elizabeth to Wendy to Lindy was 5:4:2.

How much did Lindy have at first?

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P5/P6 Math : 3 Parties Before and After with Equal Amounts at the End

This Before and After problem sum starts with the total of 3 parties given.

Each party undergo either numerical increase, numerical decrease and/or fractional decrease. The problem sum ends with each party having equal ratio in the end.

Such questions are common in P5 and P6 Paper 2.

Calculator usage is allowed.

Ben, Carl and Dave have a total of 1021 marbles at first.

After Ben halved his number of marbles by giving some away, 

Carl bought 118 more marbles and Dave threw away ¹/₅ of his marbles,

each boy have the same number of marbles left.

How many marbles did Dave have at first?

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P6 Math: Before and After Percentage Decrease with Value Increase

This "Before and After" question provides the total before and the total after the change.

One of the party undergo percentage decrease while the other party undergo a value increase.

Such questions are common in Paper 2.

Calculator usage is allowed.

At first, there were 180 adults and children in a cinema.

After an additional 24 adults entered the cinema and 25% of the children went home,

there were a total of 179 adults and children in the cinema at the end.

How many adults were there at the end?

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P5/P6 Math: Before and After ( Starting Difference with Ending Ratio)

Such questions are common for P5 and P6 exams.

Where the starting difference is known and the ending ratio is given after some numerical increase/decrease is applied to both parties.

As these appear mostly in Paper 2,

calculator usage is allowed.

A similar "before and after" type question can also be found here.

Eric has 450 more items listed on his online store than Kelvin.

After Eric sold 45 items and Kelvin listed 3 more items for sale,

the ratio of Eric's items for sale to Kelvin's items for sale became 3:2.

How many items did both have listed for sale at first?

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P6 Math: Incremental Numbers in a Table (Pattern)

The table below shows a table with multiple rows and columns, 

which numbers are filled in an incremental manner.

The first number does not begin with 1 and the number begins at the next row from the left.

Such questions usually appear in P6 Exams Paper 2.

Calculator usage is allowed.

Another complex version of such grid patterns can be found "here".

	Column
Row	A	B	C	D	E
1	4	5	6	7	8
2	9	10	11	12	13
3	14	15	16	17	18
4	19	20	21	22	23
5	24	25	26	27	28

a) The number 801 will appear under which column?

b) The number 977 will appear at which row?

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P5 Math: Lesser Number of Shares Increasing Cost of Each Share

The question type below deals with equal share with total unchanged.
But each share increases due to lesser number of people sharing the total.

P5 SA2 type question for Paper 1.

No calculator allowed.

5 girls shared to buy Alvin a watch for Christmas. One of the girls calculated wrongly and divided the cost of the watch by 6. Because of that, each girl's share became $8 lesser. How much was this watch?

How do automatic watches work?

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P6 Math: Percentage: Increasing in Spending Causing Decreasing in Savings

The question type below deals with increasing the spending percentage, resulting in the saving percentage to decrease.

Such questions often appear in P6 mid year paper 1.
Calculator usage is not allowed.

Every month, Patrick receives the same amount of allowance.

In July, Patrick spent $40 of his allowance and saved the rest.

In August, he increased his spending by 25%.

This caused his savings to decrease by 10%.

a) How much did Patrick save in July?

b) How much is Patrick's monthly allowance?

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P6 Math: Patterns: Snaking numbers in a grid table

This question below is a P6 pattern question that appears in Paper 2.

Usually a 4 or 5 mark question.

Calculator usage is allowed.

A simpler version of this grid table question can be found "here".

	Column
Row	A	B	C	D
1	13	14	15	16
2	20	19	18	17
3	21	22	23	24
4	28	27	26	25
5	29	30	31	32

a) In which column will the number 113 appear?

b) In which row number will the number 258 appear?

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