P4/P5 Math: Spend and Left after buying 2 items (multiples of each other)

This question type requires students to draw comparison models and also a part/whole model to visualize the problem sum.

Such questions are common in WA2 in P4 exams and also Paper 1 in P5 exams.

Calculator usage is not allowed.

Steffi has $77 to spend at the mall.

After she bought a book and a camera, she has $14 left.

The camera costs thrice as much as the book.

How much was the book?

Vintage camera

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P6 Math: Catching up (Savings vs Spent vs Allowances)

Advance P6 questions such as these requires students to compare between daily differences and accumulated differences.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

An easier version of the question can be found here. (use for building concepts)

Esther's daily allowance is $0.40 more than Valerie's daily allowance.

Each girl spends the same amount of $1.50 every day and saves their remaining allowance.

When Esther saved $40, Valerie only managed to save $20.

How much was Valerie's daily allowance?

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P5 Math: Ratio Basics (3 parties)

Ratio of 3 parties merely expresses the simplest form between 3 values and are not representing the exact value.

With one or more values given, students must make be able to derive the other values by means of multiplication or division.

Such questions usually appear in P5 Paper 1.

Calculator usage is not allowed.

Tricia, Belinda and Alicia has baked some muffins in the ratio of 4:3:1 respectively.

They baked a total of 640 muffins.

How many more muffins than Alicia did Tricia bake?

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P5/P6 Math: Cutting into pieces with a tool

The question below requires students to see that one cut can cut a single length into 2 pieces.

And 2 cuts into 3 pieces.

Such questions are common in Paper 1 of P5 and P6 exams.

Calculator usage is not allowed.

Questions of a similar nature can be also found here.

A carpenter using a hacksaw can saw a length of wood into 3 pieces in 3 minutes.

How long will it take for the carpenter to saw the same length of wood into 9 pieces?

(*Hint* The answer is not 9 minutes.) 

A Hacksaw

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P3/P4 Math: Fitting Equal Quantities into Containers with Remainder

The following question requires basic division so as to find out how many containers can be fitted with equal quantities but there will be some remainder after performing the division.

Such questions are common in P4 exams in Section A or B.

Mrs Lim is planning an excursion for her 60 students.

She needs to ferry the students and herself to the Science Center.

A mini-bus can sit up to 12 people.

What is the least number of mini-buses needed 

to ferry the students and herself to the Science Center?

Typical 12-seater mini-bus

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P4 Math: 3 parties with 2 pairs of Comparison Sentences using Multiples

Usually there will be 3 values in this question type.

2 comparison sentences to describe 2 pairs of values using multiples.

Such questions are common in Section C of P4 tests and exams(WA1/CA1).

Reena has twice as many plates than bowls in her kitchen.

She has thrice as many forks than plates.

She has a total of 135 forks, plates and bowls.

How many forks does she have in her kitchen?

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P5 Math : Multiples in Boxes

The following question type is common in Paper 1. 

Students often mistake such question as a tedious multiplication and division exercise but the question is only worth 1 or 2 marks and it is a testing the ability of students to see multiples.

Calculator usage is not allowed.

Ben has 25 boxes of shoes.

Each box contains the left and right shoe (2 shoes in a box).

He has 7 boxes of shoes in the storeroom and the rest of the shoes are in the living room.

How many boxes of shoes are in the living room?

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P5/P6 Math: 2 types of stickers/ribbons with different repeated patterns

Such question type presents the student with 2 different lengths of ribbons or stickers.

Each sticker has some printed motifs on it.

With the same total length used, the difference between the total number of motifs on each sticker/ribbon type is provided.

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

Calculator usage is allowed.

Question type of similar nature can also be found here.

Ticker Tape Parade in USA

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P5/P6 Math: Sharing the Workload Thus Lesser Time Needed

This question looks like an "Average" question
but it is not simply adding together and divided by 2.

When the job is shared, the time taken will always be lesser as the workload will be shared.

Such questions are common in P5 and P6 exams.
Calculator usage is not allowed.

Carol will need 5 hours to paint her bedroom.

If the room was painted by her father, he will only need 2 hours.

If both Carol and her father were to paint together,

how long will it take for them to paint her bedroom?
(Give your answer in hours using fraction in simplest form)

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P3/P4 Math: Set Method (Complete Sets without Remainders)

By the end of P3, students will be exposed to set method.

The basic components within 1 set will be given.

Such questions usually appear in from P3 SA2 and in P4 exam papers.

On a farm, there are ducks and pigs.
For every 1 pig, there are 3 ducks.
The ducks and pigs have a total of 80 legs.

How many pigs are there in this farm?

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P5 Math: Average of 2 groups of items

The topic of Average requires students to find out each fair share.

The question type below provides 2 sub-totals, 
from which, students must be able to derive first the total before they can process the average [ aka fair share ].

Such questions can appear in both paper 1 and 2.

Calculator usage is allowed if in Paper 2.

A group of 3 boys have a total of 17 die-cast toy cars.

Another group of 5 boys have a total of 39 die-cast toy cars.

What is the average number of die-cast toy cars owned by each of these 8 boys?

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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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