P5P6 Math: Value and Multiples and Differences

This is a question type that will provide 4 of the listed information below for 2 different items of different quantities,

1. Total value of 2 items
   
   
2. Difference between 2 item's totals
   
   
3. Unit Difference between 2 items
   
   
4. Multiples of 1 item compared with another 

Similar questions using ratio to represent the multiples can also be found here and here.

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed

Samy bought thrice as many books as pens.

He spent a total of $3850 on all the books and pens.

Each book cost $5 more than each pen.

He paid $2030 more for all the books than for all the pens.

How many books did Samy buy?

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P6 Math: Speed and Time differences given

As the syllabus refreshes itself in 2026, P6 students will no longer need to learn Distance, Speed and Time from the year 2026 onwards.

Such questions will go down in history as what the former generation of 12 year olds have learnt and were able to solve(2025 and before).

The question below provides 2 possible speeds and 2 timings (of lateness) between the faster and slower speeds.

These questions were common in Paper 2 of P6 Prelims.

Calculator usage is allowed.

Brenda is driving to meet her friend at a specified time.

If she travels from her home and drives at constant speed of 80km/h, 

she will be 20 minutes late.

If she drives at a constant speed of 60 km/h, 

she will be late by 45 minutes.

What is the distance she had to travel to meet her friend?

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P6 Math: Different Percentage Discounts causing Different items to be Same Price

2 different items for sale at different discount percentages but has the same price after their respective discounts.

Such questions are common in Paper 2 of P6 Prelims and PSLE papers.
Calculator usage is allowed.

A pen was for sale at a 15% discount and a vase was selling at a 20% discount.
Both items were sold at the same price after the discount.

Lisa wanted to buy both discounted items but was short of $36.

If she only bought the pen at the discounted price, she'd have $100 left.

How much more will she need if she were to buy both items without discount?

An intricate antique Chinese vase

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P6 Math: Patterns NOT of Constant Increment (Version 2)

Pattern questions that deals with constant increment can be solved using a certain "3-step method".

The pattern shown below, however, is not exactly showing a constant increment between every consecutive pattern.

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

Pattern	1	2	3	4	5	6	7
Tiles	25	26	28	29	31	32	34

a) How many tiles will there be in pattern 11?

b) In which pattern will there be 145 tiles?

Mosaic tiles commonly used in swimming pools

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P6 Math : Buying 2 different items in Different Quantity and Different Value with known Ratio

This question type is similar to the one practiced here.

2 different items are sold in bags of different quantities and not sold individually.
Each bag of items have different value.
A ratio of the number of items bought is given and the difference between the total values of the 2 items are also known.

Such questions require the knowledge of "set method" and "common multiples" and "ratio".

As these questions appear in Paper 2 of P6 exam papers,
calculator usage is allowed.

Carnations and roses are sold in bunches at a market stall.

A bunch of 12 roses are sold at $27.

A bunch of 9 carnations are sold at $23.

The number of roses that Alexis bought to the number of carnations
that Belle bought was in the ratio of 2:3.

Belle paid $76 more for her carnations than Alexis for her roses.

a) How much did Alexis pay for her roses?

b) How many bunches of carnations did Belle buy?

Did you know?
Freshly cut carnation flowers last longer than roses

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P5/P6 Math: Comparing Fractions with a Whole Number

Being able to compare fractions requires quite a few skills.

- Comparing with "HALF"

- Comparing with "ONE WHOLE"

- Comparing Numerators when "DENOMINATORS ARE THE SAME"

- Comparing Denominators when "NUMERATORS ARE THE SAME"

The following question requires students to be able to compare 4 fractions with a whole number to determine which is the nearest fraction.

The key to find correct nearest/closest fraction is by looking at the "difference" or the "gap"

Such questions appear in Paper 1.

Calculator usage is not allowed.

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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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P6 Math: Incremental Numbers in a Table (Pattern)

The table below shows a table with multiple rows and columns, 

which numbers are filled in an incremental manner.

The first number does not begin with 1 and the number begins at the next row from the left.

Such questions usually appear in P6 Exams Paper 2.

Calculator usage is allowed.

Another complex version of such grid patterns can be found "here".

	Column
Row	A	B	C	D	E
1	4	5	6	7	8
2	9	10	11	12	13
3	14	15	16	17	18
4	19	20	21	22	23
5	24	25	26	27	28

a) The number 801 will appear under which column?

b) The number 977 will appear at which row?

Batik cloth are dyed with assymetrical repeating patterns

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P6 Math: One Party Reduced to Zero with Starting Difference Given

The following question deals with "constant decrease".
The starting difference between 2 parties is known and both parties undergo constant decrease.

One party will be reduced to zero while the other will have some left.

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

Shane have 40 more flyers than Derek at first.

Every minute, Shane gave out 18 flyers and Derek gave out 15 flyers.

When Shane has given away all his flyers, Derek still has 35 flyers remaining.

How many flyers do they have altogether at first?

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Students may find these question types to be similar.

P5 Math : Internal Transfer

This question requires students to be able to visualize a before and after model.

Before and after the transfer between both parties in the question,
the total will not change.

Such question often appears in P5 Paper 2.
Calculator usage is allowed.

Lester has thrice as many lego bricks as Patrick.
After Lester gave Patrick 60 lego bricks,
Lester now has twice as many lego bricks as Patrick.

How many lego bricks do they have altogether?

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P5/P6 Math: Revisiting Value and Ratio Differences

This question is a variation of a tough P5/P6 Paper 2 high value question.
(A slightly more complex version of this question can be found here. )

2 different item of different quantities and individual values.

Only 4 information/numbers are given,

Namely

1) Total value of both items

2) Ratio between the quantity of both items

3) Individual value difference between both items

4) Total value difference between both items

Calculator usage is allowed. 

Tom has marbles placed in blue and red boxes.

The number of blue to red boxes is in the ratio of 7:6 respectively.

Each blue box contains 6 less marbles than a red box.

There are a total of 3834 marbles in both type of boxes.

The number of marbles in all the red boxes is 54 more than

all the marbles in the blue boxes.

How many marbles are there in each red box?

If you are able to solve the above question easily.

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