P6 Math: Equal Quantity after 2 Parties undergo Fractional Decrease

The question presents 2 different items, each of different value and quantity.
After each undergo a fractional decrease, both items have the same number remaining.

The unit value of each item and the total value of the remaining items are provided.

Such questions require students to make use of "Equal Value Fractions" in order to solve.

These type of questions will usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Craig has a stack of $2 and $10 notes.

After using ²/₉ of the $2 notes and ³/₅ of the $10 notes to buy a figurine,

he has equal number of $2 and $10 notes remaining.

He has $672 left at the end.

How much money did Craig have at first? 

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P4 Math: Quantity Difference and Total Value Given

This is an easier version of a common P5 question shown here.

There are 2 types of items purchased and one of the items bought is slightly more than the other.

The cost of each type of item is given and the difference between the quantities of the 2 types of items bought is also know.

Such question requires students to use "set method" to solve.

These questions are common in Section C of P4 exam papers and will be more apparent in P5 exams.

Calculator usage is not allowed.

Siew Lee bought 1 more apple than pears and 

paid $69 altogether for all the apples and pears.

Each apple cost $5 and each pear cost $3.

How many apples did Siew Lee buy?

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P5/P6 Math: Fractional Decrease of 2 parties of Equal Starting Ratio with Ending Difference Given

This question presents itself with 2 parties having equal ratio at first and both parties undergo difference fractional decrease. The difference at the end is also given.

Such questions are common in Paper 2 of P5 and P6 test/exam papers.

Calculator usage is allowed.

Pravin and Gary are postal delivery staff and 

have the equal number of packages to deliver in the morning.

By noon, Pravin has delivered ³/₄ of his packages and

Gary has delivered ⁶/₇ of his packages.

Pravin has 24 more undelivered packages than Gary.

How many packages did both have altogether in the morning at first?

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P6 Math: Same total quantity of 2 different items of different values

This question type is made famous during the 2021's Math PSLE exams.

The "Helen and Ivan" question.

2 items of different quantities and value are split into 2 groups containing same number of items. The individual value difference a between 2 items and the total value of one of the group [ containing different quantities of 2 items ] are given.

This is a P6 PSLE Paper 2 question.
Calculator usage is allowed.

Helen bought 64 pencils and some notepads.

Ivan bought 104 pencils and some notepads.

Both Helen and Ivan bought the same total number of notepads and pencils.

Each notepad costs $2.70 more than each pencil.

Helen spent a total of $1134 on their pencils and notepads.

How much did Ivan spend on all his pencils and notepads?

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P5 Math: Total of 2 items with different quantities and different values

The question type below deals with 2 different items, each with different individual values and quantity. 

One item bought has a larger quantity that the other.
The total value of both items and their individual value difference are given.

Such questions often appear in P5 mid year exam onwards.

This is a paper 2 question so calculator is allowed.

A tougher version of this question for P6 students can be found here.

An easier version of this question for P4 students can be found here.

Calista bought 6 more dolls than hairbands from a shop.

Each doll costs $11 and each hairband costs $7.

She spent a total of $156 of all the hairbands and dolls.

How many dolls did she buy?

Classic Porcelain Dolls

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P5/P6 Math: Buy 2 different items of Equal Quantity or Equal Value

The following question type shows 2 items that must be bought in different quantities and each of them are not sold separately.

The items are either bought of the same quantity or are bought to equal value in dollars.

The difference will be given depending of sets of same quantity(value difference given) or sets of same value(quantity difference given).

Such questions require students to be proficient with "Set Method" and "Common Multiples".

These usually will appear in Paper 2.
Calculator usage is allowed.

Apples and mangoes are sold according to the offer stickers below and not sold individually.

     

Evan spent equal amount of money on buying mangoes and apples.

He bought 33 more apples than mangoes.

How much did he spend altogether?

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P3/P4 Math: Set Method (Equal Quantity)

The question below deals with "sets" with equal quantities of 2 items.
(each with different value)

Such questions are common for P3 SA2 and P4 SA1/SA2.

Patrick was given the equal number of $2 notes and $5 notes.

The $2 and $5 has a total value of $98.

How many $5 notes was he given?

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