P3 Math: Repacking total to different multiples

The question type below requires P3 students to understand and draw part/whole models.

Multiplication and division is needed on top of understanding and drawing of the models.

Such questions often appear in P3 WA1 or SA1 during May.

Brad has 7 boxes of toy soldiers.
Each box contains 27 toy soldiers exactly.
He removed them from the boxes
and packed them into bags of 3.

a) How many toy soldiers does he have at first?
b) How many bags of toy soldiers will Brad have at the end?

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P3 Math : Total Given with Partial Division

The question type below requires P3 students to understand and draw part/whole models.

Part of the total will be deducted and the remaining will be split to equal parts.

(Multiplication and Division)

Such questions often appear in P3 WA1 or SA1 during May and usually appear in the first few questions of section C.

At first, there are 517 mangoes.

After 152 rotten mangoes are thrown away,

the rest of the mangoes are packed into bags of 5.

How many bags will be needed?

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P6 Math: Decreasing sets with remaining

The question type below deals with decreasing sets

The starting ratio is given and each time, a set of 2 different values is deducted.

Such questions often appear in P6 mid year and prelim papers.

This is a paper 2 question so calculator is allowed.

Miss Teo had ¹/₃ as many chocolates as sweets.

After she gave each of her students 4 chocolates and 3 sweets.

she had 6 chocolates and 180 sweets left.
How many students does she have?

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P5/P6 Math: Fraction of Remaining (Expert)

The question type below deals with "fraction of remainder".

Each fraction is added with another value to represent an item described.

Such questions often appear in P5 SA2 exam onwards.

This is a paper 2 question so calculator is allowed.

In a box of yellow, green and purple highlighters,
half of the highlighters and another 5 are blue.
¹/₄ of the remaining highlighters and 4 more are green.
The rest of them are purple highlighters.
There were 11 purple highlighters in the box.
How many highlighters were there altogether?

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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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P3/P4 Math: Before and After Basic (Twice , Thrice and 4 times)

The question type below deals with "before and after" comparison models.
One of the models will remain the same.

Such questions often appear in P3/P4 exam papers in Section C.

Kenny have 64 tickets more than Lawrence at first
After Kenny sold 10 tickets,
Kenny still has thrice as many tickets as Lawrence.
How many tickets does Lawrence have?

One of the most loved childrens' story book

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P5/P6 Math: Fraction of Remaining (Advanced)

The question type below deals with "fraction of remainder" (with a twist).
The first fraction is not a fraction of total but a fraction of remainder.

Such questions often appear in Paper 2 starting from P5 mid year exam onwards .

Calculator usage is allowed.

In a basket containing red, green and blue beads,

56 beads were red.

¹/₃ of the remaining beads were green.

The blue beads make up ¹/₅ of all the beads in the basket.
How many beads were there altogether?

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P6 Math: One Party Reduced to Zero

The question type below deals with 2 parties with different totals at the start.
Each will have different amount deducted every instance until one party reaches zero.

Such questions often appear in P6 paper 2 during SA1 and prelim.

Calculator usage is allowed.

At a fruit stall, there were some apples and oranges to be sold.
If the number of apples sold were 4 times the number of oranges sold,
there will be 5 apples left unsold after all the oranges were sold.
If the number of oranges sold were 4 times the number of apples sold,
there will be 35 apples left unsold after all the oranges were sold.
How many apples and oranges were there altogether at first?

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P5/P6 Math : Before and After Fractional change to 2 parties (Advanced)

The question type below deals with 2 parties with one having more than the other undergoing fractional change.

Such questions often appear in P5 and P6 paper 2.

Calculator is allowed.

Alistair has 450 more jewels than Benedict at first.

After Alistair gave away ¹/₃ of his jewels and Benedict sold ²/₅ of his jewels, Alistair still has 360 jewels more than Benedict.

How many jewels does Alistair have at first?

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P6 Math: Percentage of same discounted item in 2 different shops

The question type below deals with percentage and discount of the same item but in different shop.

Such questions often appear in P6 prelims in paper 2.

Calculator usage is allowed.

A remote control drone is sold at shop A for $720.
This same drone is also sold at shop B for $900.
On a day that both shops gave the same percentage discount,
Alan bought the discounted drone from Shop A and
Ben bought the discounted drone from Shop B.
The amount that Alan paid was $162 lesser than Ben.

How much was the percentage discount given at each shop?

Drone Laws in Singapore

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P3 Math: 3 Parties More Than/Less Than Comparison Model with Total Given

The question type below allows P3 students to test their understanding on how to compare 3 different parties.

With the 2 comparison sentences given, students must piece together the information from both comparison pairs to construct a model that conforms with the information presented in the question.

Such questions often appear in P3 WA1 or SA1 during May and usually appears as the first question of section C.

Tristan, Bella and Kate was given a total of 470 pears.
Tristan was given 40 more pears than Bella.
He was given 90 more pears than Kate.

How many pears does Bella have?

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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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P6 Math: Percentage: Increasing in Spending Causing Decreasing in Savings

The question type below deals with increasing the spending percentage, resulting in the saving percentage to decrease.

Such questions often appear in P6 mid year paper 1.
Calculator usage is not allowed.

Every month, Patrick receives the same amount of allowance.

In July, Patrick spent $40 of his allowance and saved the rest.

In August, he increased his spending by 25%.

This caused his savings to decrease by 10%.

a) How much did Patrick save in July?

b) How much is Patrick's monthly allowance?

Best Bank for Children's Saving Account in Singapore

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P4/P5 Math: Set Method

The question below deals with "complete sets" and/or "incomplete sets".
Such questions are suitable for P4 and P5.
Calculator usage is not allowed.

Melons in a supermarket are sold at $3 each.

A basket of 4 melons are sold at $10.

a) What is the most number of melons that can be bought with $50?

b) What is the least amount of money needed to buy 30 melons?

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P5 Math: Ratio: Constant Difference

The question below deals with the ratio concept of constant difference.
Such questions will appear in exams once after ratio techniques are taught in P5.

Calculator usage is allowed.

A similar question on constant difference with "age" can be found here.

Peter and Jack have some vouchers.

The number of vouchers that Peter have to

the number of vouchers that Jack have was 1:4 at first.

After each of them bought 66 more vouchers,

the ratio of Peter's vouchers to Jack's vouchers became 5:11.

How many vouchers did both boys have at the end?

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P5 Math: Internal Transfer (Ratio)

The question below deals with the ratio concept of internal transfer.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Oliver and Chris have some erasers.

At first, the number of erasers that Oliver have to

the number of erasers that Chris have was 2:3.

After Oliver gave Chris 45 erasers,

the ratio of Oliver's erasers to Chris' erasers became 1:9.

How many erasers did Chris have at first?

Top 10 types of Handshake

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P5/P6 Math : Excess and Shortage (Multiples)

This question type deals with excess and shortage with multiples.
Very commonly seen in P5 SA2 and P6 exams.

Such questions can appear in Paper 2.
If so, calculator usage is allowed.

There are some cups and tables in a restaurant.

If each table is placed with 8 cups,

there will be 3 cups remaining that is not placed on any table.

If each table is placed with 10 cups,

there will be a shortage of 7 cups.

a) How many tables were there?

b) How many cups were there?

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P5 Math: Ratio: One Party Change

The question below deals with the ratio concept of only one party change.
Good practice for both P5 SA2 and P6 students.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Ben and Lenny have some cards.

At first, the number of cards that Ben have to

the number of cards that Lenny have was 1:5.

After Ben bought 18 more cards,

the ratio of Ben's cards to Lenny's cards became 1:2.

How many cards did they have altogether at first?

Here is the list of expensive trading cards in the world

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P4 Math: Before and After Fractional Change and Deduction

Such questions deals with the "Before and After" comparison models and
will commonly appear in P4 Section C in mid year SA1 or end of year SA2.

The P5 version of this question can be found "here".

Mark and Kelvin have total of $1075 altogether.
After Mark spent ⁷/₈ of his money and Kelvin spent $220 of his money,
each boy have the same amount of money left.

How much did they have left altogether at the end?

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P4 Math: Internal Transfer with Ending Multiples

Questions like the ones below will appear in P4 SA1 and SA2 papers in Section C.

A similar version of such question can also be found "here".

Bala has $156.
Teo has $40.

How much does Bala need to give Teo so that
Bala will have 3 times as much money as Teo at the end?

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P6 Math: 3 Parties Fractional Comparison (One Vs Sum of Two)

The following question is a high value 4 or 5 marks P6 Math paper 2 type questions.

Calculator usage is allowed.

Although it looks like a fraction problem sum,
this question requires the usage of two known ratio techniques in order to solve.

Abel, Benny and Carlise shared some stickers.

Half of Abel's stickers was equal to 1/4 of Benny's and Carlise's stickers combined.

1/4 of Benny's stickers was the same quantity
as 1/5 of the total of Abel's and Carlise's stickers.

What is the ratio of Abel to Benny to Carlise's stickers?

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P6 Math: Every day same amount used

This is a 3 or 4 mark question that will appear in P6 mid year or Prelims Paper 2.
Calculator usage is allowed.

Timothy was given some flour to use.
He uses the same amount every day to bake cookies.
After 4 days, he has ³/₄ of the flour remaining.
After another 3 days, he has 540g of flour left.

a) How much flour was used everyday?
b) How much flour was Timothy given at first?

Recipe for baking Famous Amos cookies at home

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P5/P6 Math: Fraction of Remaining (Basic)

Questions that deals with fraction of total followed by "fraction of remaining" will usually appear in P5 mid year exams.

Such questions will appear in Paper 2.

Calculator usage is allowed.

Alan gave ¹/₂ of his marbles to Ben.

He gave ¹/₄ of the remaining marbles to David.

Alan has now 12 marbles left.

a) How many marbles did he give Ben?

b) How many marbles did Alan have at first?

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