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P5/P6 Math: Different Multiples of 2 Items with Same Total Value (Individual Difference Given)

2 items of different quantities have the same total value.
The difference between each item is also given.

Such questions can appear in both P5 and P6 Paper 2.
Calculator usage is allowed.

3 bottles of soy sauce cost as much as 5 bottles of cooking oil.
A bottle of soy sauce costs $17.60 more than each bottle of cooking oil.

Find the cost of one bottle of soy sauce.



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P6 Math: Additional Items Bought with Same Amount due to Percentage Discount

The same identical item is bought in different quantities by 2 different people with the same amount of money. This is due to one of them buying with discount and the other buying lesser (paying full price).

Such questions are common in P6 Prelim Papers and usually appears in Paper 2.
Calculator usage is allowed.

Veronica and Betty bought identical mugs from the mall.
Each girl spent a total of $360.
Veronica bought 5 more mugs than Betty because
the mugs that Veronica bought were sold at a 20% discount.

How many mugs did Betty buy?


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P6 Math: Percentage Increase and Decrease of 2 Values with Ending Ratio given

In the question type below, 2 values undergo percentage increase and decrease with one of the decrease value given. The resulting ratio is also given at the end.

Such questions are common in Paper 2 of P6 exams.
Caculator usage is allowed.

Wendy has a collection of stickers and ribbons.
She added more stickers to her collection and sold 2112 ribbons away.
This resulted in a 20% increase in her sticker collection and 
a 44% decrease in her ribbon collection.
The ratio of stickers to ribbons was 5:4 at the end.

How many stickers did she have in her collection at first?



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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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P6 Math: Different Percentage Discounts of Same Item purchased with Difference in Savings Given

An item is sold at 2 shops with the same original price at first.
With different percentage discounts from the 2 shops, the difference between the savings is also given.
Students will need to find out what is the percentage discount given at one of the shops.

Such questions are common in Paper 2 of P6 exams.
Calculator usage is allowed.

A ukulele is sold in 2 different shops at the same price at first.
During a sale, Shop A gave 5% more discount than Shop B.
Buying a ukulele in Shop A will result in a savings of $3.40 more than
if the ukulele was bought in Shop B.
The ukulele was sold at Shop A at $51 after the discount.

What is the percentage discount given at Shop A?

A ukulele is a 4-string musical instrument that is smaller than a guitar


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P5/P6 Math: Fraction of Total and another Fraction of Total

Fraction problem sums are common in P5 and P6 exams.

This particular type presents itself with a fraction of total that was used at first and provides a known value of the 2nd part that was used. 

The fraction of the total that was "used" was also given.

With 2 fractions of the total are provided, students need to know what to do with the value given in order to solve.

Tricia read 1/5 of a book on Monday.
She read another 48 pages on Tuesday.
In the 2 days, she had completed reading 2/7 of the book.

How many pages are there in Tricia's book?



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P6 Math: Percentage Discount of 2 different items

This question presents itself with 2 items purchased.
The percentage discount of the first item is provided.
With the known discounted price of the first item and the total discount(value) of both items,
students must figure out the percentage discount of the second item.

Such questions are common in Paper 2 of P6 exams.
Calculator usage is allowed.

At the first store, Kiera bought a tablet at a discount of 25% and 
paid $660 for the tablet after the discount.
At the second store, she bought a smartphone at $1320 after a discount.
The total discount of both the tablet and smartphone was $400.

a) What was the original price of the tablet before discount?
b)What was the percentage discount given for the smartphone?




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