P5/P6 Math: 3 Item Types with Different Quantities and Values

Such questions uses fraction and multiples(ratio) to give a breakdown of the distribution of 3 different items. Each of the item have different values and the total value of all quantities of 3 items is also provided.

Such questions are common in Paper 2 of P5 exams.

Calculator usage is allowed.

Erica bought a number of durians,watermelons and jackfruits 

from the market and spent $620 altogether.

¹/₂ of all the fruits bought were durians.

The ratio of the number of watermelons to jackfruits bought was 3:2.

Each durian costs $20, each watermelon $4 and each jackfruit was $6.

How many durians did Erica buy?

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P5 Math: Set Method (Total Given)

Set method, often confused with assumption, because the total value is given.

Students need to differentiate between the 2 by noticing that the total quantities of both items were not given, hence not able to "assume".

Such "Set" questions often appear in Paper 2 of P5 exam papers.

Calculator usage is allowed.

More of such P5 set questions here.

Greg bought 5 times as many toy cars as toy trucks.

Each toy car costs $2 and each toy truck costs $5.

He spent a total of $120 of all the toy cars and toy trucks.

How many toy cars did Greg buy?

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P6 Math: Quantity and Value Difference and Ratio

The question type below provides the numerical quantity of 2 different items.
Each item has its own unique unit value but only the difference between each item's unit value is given.
The ratio of the total value between 2 items is also provided.

Such questions usually appear in Paper 2 of P6 Prelims or Mid-year papers.
Calculator usage is allowed.

Alison has 14 small tables and 3 big tables in her restaurant.

Each big table can seat 4 more diners than each small table when fully occupied.

On nights when all the seats are occupied, ⁷/₉ of the diners are seated at the small tables.

How many diners can be seated in each big table?

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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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The question below will randomize with different numbers every hour. 

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P5/P6 Math: Stacked Models (Different Quantities of Equal Total Value)

Questions like these will require students to use stack models to compare 2 different items.

Different quantities of 2 items will present itself as having the same value.
The total of uneven multiples of both items will be given.

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

3 pies costs as much as 5 muffins.

Adam bought 9 pies and 12 muffins and spent $324 altogether.

How much will 10 pies cost?

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P5/P6 Math: 2 Different Totals with No Comparisons between 2 Different Items

This question provides 2 different totals of 2 different items with different unit values and quantities. But it does not give any other information besides the quantities and the totals.

This question is a more advance version of this question.
(Where 2 different item types and 2 totals are given but no comparisons given between the 2 different items)

Such questions are suitable for P5 and P6.
These questions will usually appear in paper 2.
Calculator usage is allowed.

8 boxes of gum and 5 packs of sweets costs $29 altogether.

2 boxes of gum and 2 packs of sweets costs $8 altogether.

What is the cost of 8 boxes of gum?

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P5/P6 Math: 2 Different Items of Different Unit Value and Different Quantities

This question provides 2 different totals of 2 different items with different unit values and quantities. But it does not give any other information besides the quantities and the totals.

Such questions are suitable for P5 and P6.
These questions will usually appear in paper 2.
Calculator usage is allowed.

6 bricks and 3 cement bags have a total mass of 24 kg

3 bricks and 6 cement bags have a total mass of 30 kg

What is the total mass of 1 cement bag and 1 brick? 

How are housing flats built in Singapore?

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P6 Math: Difference between 2 total values of different quantities

The question type below deals with 2 different items, each with different individual values and quantity. The difference in terms of the total value between the 2 items are given.

Such questions often appear in P6 mid year exam onwards.

This is a paper 2 question so calculator is allowed

A simpler version of this question for P5 students can be found here.

Catherine has a piggy bank
containing only 20-cent coins and 50-cent coins.

She has 7 more 50-cent coins than 20-cent coins in the piggy bank.
The total value of the 50-cent coins is $7.40 more than the total value of all her 20-cent coins.
How many 20-cent coins does she have in the piggy bank?

What is the mass of each different denomination of coins in Singapore?

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P6 Math: Fractions : Buying 2 different items of different quantity and different value

The question type below deals with buying 2 different items of different values and different quantity.
Such questions often appear in P6 mid year and P6 Prelim paper 2.
Calculator use is allowed

Greg spent ³/₄ of his money on 3 spoons and 6 forks.

Each spoon cost thrice as much as each fork.

He spent all his remaining money on buying more forks.

How many forks did Greg buy altogether?

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