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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P6 Math: Redistribution of same total to lesser parties with left over

The same total meant to be equally distributed, is now distributed to lesser parties, with each party getting sligjhtly more than before. There will also be some left over after the "re-distribution" due to lesser shares.

A relatively similar question can also be found here.

Such questions are common in P6 Paper 2.

Calculator usage is allowed.

Miss Tan have 560 sweets to give to her class of 35 students.

Each student was supposed to get the same number of sweets.

Because some students were absent that day,

Miss Tan had 38 sweets left after distributing 2 more sweets
to all whom were present.

How many of her students were present that day?

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: Starting Ratio and Ending Fraction and Ending Value

This question begins with a ratio between 2 parties.

Both will share to spend on an item [ unequal shares ].

One of the parties will have a fraction of its amount left and the other party will have a certain value remaining after the spending.

Matt and his brother has money in the ratio of 5:3 at first.

They shared to buy a handbag for their mother.

Matt paid for 60% of the handbag and his brother paid for the rest.

After paying for the handbag, Matt has ¹/₄ of his money left and his brother has $316 left.

How much was the handbag?

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?

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The question below will randomize with different numbers every hour. 

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P4/5/6 Math: Fraction of Total with excess

Questions like these deals with fractions with an additional value as a share between 2 persons.

Such questions usually appears in P4 section C and will also be tested for P5 and P6.

Janice and Kelly shared to buy a necklace of Linda.

Janice paid $30 more than ¹/₅ of the necklace.

Kelly paid $290 for her share of the necklace.

How much was the necklace?

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 : Sharing the Shortage/Excess

The question type below is about evenly distributed items in multiple containers.

When some of the containers were removed, the items will be redistributed evenly into the remaining containers.

Such questions often appear in paper 2 for P5 after SA2 
and also for P6 mid year and prelim.

Calculator usage is allowed.

In a hall, chairs were arranged into 18 equal rows.
3 rows of chairs were removed and
these chairs were arranged equally into the remaining rows.
Each of the remaining row now has 12 more chairs.
How many chairs were there in the hall?

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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