P6 Math: Before and After Average Expert (Average Decreased after some left)

The meaning of "Average" is 

"the number that is calculated by adding quantities together and then dividing the total by the number of quantities" 

according to Britannica dictionary.

For this "Before and After" Average question type, the total is not given and the average decreased if some parties were excluded from the count.

This question is very similar to another one published here.(where the average increased instead). More of such "before and after average" questions here.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

A group of girls have an average of 66 stickers in their collection.

If 3 girls with an average of 70 stickers stickers were excluded from the group,

the remaining girls will have an average of 64 stickers instead.

How many girls were there in this group?

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: Before and After Average Expert (Average Increased after some left)

Average is about equal sharing. 

When the average is given but not the total number of parties to be shared with, the question becomes more complex.

Such "before and after" average questions will often appear in Paper 2 of P6 Prelim exams.

Calculator usage is allowed.

More of such before and after Average questions here and here.

Class 6C took a Math test recently and the class scored an average of 81 marks.

If the results of 4 students with average of 64 marks are excluded, 

the remaining students will have an average of 83 marks for this test.

How many students are there in class 6C?

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: Bill shared by 3 people but one of them paid first

A bill is shared equally by 3 people whom have different amounts of money at first.

This is a very unique question that requires students to make use of "Total Unchanged" to visualize the models between all 3 parties.

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Mary, Roger and Ken shared the cost of a gift for their father equally.

If Mary paid for the gift first, the amount she have remaining will 

be ⁴/₉ of the amount of what Roger have at first. 

If Roger paid first, the amount he have remaining will 

be ¹¹/₁₅ of the amount of what Mary have at first.

If Ken paid first, he'd have no money remaining.

If Roger had $126 more than Mary at first,

how much did the gift cost?

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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P5/P6 Math: A Total of 3 Given with Equal Ratio at the End

This question type starts with a known total of 3 parties.

Each party undergo either a fractional decrease or value increase/decrease and all 3 parties ends with equal ratio at the end.

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

Calculator usage is allowed.

Derrick, Lawrence and Patrick had $3025 altogether at first. 

After Derrick spent ⁵/₇ of his money and Lawrence spent ¹/₄ of his money 

and Patrick spent $155, each boy have the same amount of money left. 

How much did the 3 boys have altogether at the end?

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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P3/P4 Math: Internal Transfer (Make Equal)

"Total unchanged", more commonly known as , "Internal Transfer", requires students to draw "before and after" comparison models in order to solve "visually"

Such questions usually appear in Section C of P3 and P4 exam papers.

Janice has 225 candy bars and Kenny has 99 candy bars.

How many candy bars must Janice give Kenny

so both will have the same number of candy bars?

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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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?

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: Sharing Usage Equally for Property with Limited Time Use

Questions of this type deals with excess users trying to time-share a common property, such as a basketball court, in a fair manner.

Such questions will appear in P6 Prelims and PSLE.

This is a paper 1 question so calculator usage is not necessary.

5 friends rented a tandem bicycle.

A tandem bicycle allows only 2 persons to ride on it at any one time.

Each friend rode for an equal amount of time.

The tandem bicycle was rented for a total of 4 hours.

How many minutes did each friend ride on that bicycle?

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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