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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The question below will randomize with different numbers every hour. 

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P3/P4 Before and After One Party Unchanged (Start Multiples, End Difference)

Such questions presents 2 values to be multiples of each other at first.

One of the value undergo a change(addition/subtraction) and the resulting difference is given after the chance.

Such questions require students to use "Before and After Comparison Models" to visualize the changes and to also be aware that one of the values "did not change".

These questions are common in Section C of P3 and P4 exam papers.

There were thrice as many boys as girls whom were in the school hall at first.

After 15 boys left the school hall to go toilet, 

there were still 17 more boys than girls remaining in the hall.

How many students were there altogether in the school hall at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P6 Math: 3 Parties Before and After with Uneven Ratio at the End

A total of 3 parties are given at first.
Each of the party undergo increase or decrease and the end ratio is given.

Some of the increase/decrease are fractional and some are numerical.

Such questions are common in Paper 2 of P6 exams

Calculator usage is allowed.

An easier version of this question can be found here.

Elizabeth, Wendy and Lindy had a total of $483 at first.

Elizabeth was given more money by her parents and had double of what she had at first.

Wendy spent $67 on a pair of ballet shoes and Lindy's brother gave her another $94.

In the end, the ratio of remaining money of Elizabeth to Wendy to Lindy was 5:4:2.

How much did Lindy have at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P4P5 Math: Before and After Start Multiples End Same

Such problem sums starts with 2 parties, one being a multiple of another at first.

Both parties undergo addition or subtraction and results in both having equal value at the end.

This type of problem sum will require student to use before and after models to represent visually the starting multiples of one another at the "Before" model and the "After" model to represent the changes and how both became "Equal".

These questions are common in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Chris have 3 times as many buttons as Bailey at first.

After Chris used 30 buttons making shirts and Bailey used 4 buttons for making pants,

they had the same number of buttons left.

How many buttons did Chris have at first?

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The question below will randomize with different numbers every hour. 

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P6 Math: 2 Different Comparisons between 3 Parties

The relationship of 3 values are being compared by using the sum of first two to compare with the third.

2 of such comparisons are given with the known differences.

Such questions are common in Paper 2 of P6 Prelims.

Calculator usage is allowed.

Ahmad, Balu and Canaan, each have some marbles.

Ahmad's marbles make up ¹/₄ of their total number of their marbles.

Ahmad and Balu together, have 66 more marbles than Canaan.

Canaan and Ahmad together, have 24 more marbles than Balu.

How many marbles do they have altogether?

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The question below will randomize with different numbers every hour. 

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P4/P5 Math: Arranging Fractions in Ascending or Descending Order

Fraction comparison are often tested by having students arrange 3 different fractions in ascending(smallest to biggest) or descending(biggest to smallest) order.

To compare and ascertain which is the biggest, student can either make numerator the same or denominator the same. When comparing different numerators of fractions(with same denominator), the biggest numerator is the biggest fraction. But when comparing different denominators of fractions(with same numerator), the opposite will have to apply.

Such questions are common in P4 and P5 exams.

Calculator usage is not allowed.

Arrange these fractions in ascending order

2 ⁴/₇ , ¹⁸/₉ , ⁹/₄    

__________  ,  __________  ,  __________

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The question below will randomize with different numbers every hour. 

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P5/P6 Math: Before and After ( Starting Difference with Ending Ratio)

Such questions are common for P5 and P6 exams.

Where the starting difference is known and the ending ratio is given after some numerical increase/decrease is applied to both parties.

As these appear mostly in Paper 2,

calculator usage is allowed.

A similar "before and after" type question can also be found here.

Eric has 450 more items listed on his online store than Kelvin.

After Eric sold 45 items and Kelvin listed 3 more items for sale,

the ratio of Eric's items for sale to Kelvin's items for sale became 3:2.

How many items did both have listed for sale at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P5 Math: Ratio Basics

The comparison between 2 values can be done using fractions, ratio, percentage, etc.

 

To express 2 numbers as ratio is like drawing a comparison models of 2 numbers and finding their common factors.

But all these must be done without drawing models and without finding common factors.

Such questions will appear in Paper 1 of P5 exams.

Calculator usage is not allowed.

Fadil bought 25 chicken satay sticks for his children.

Germaine bought 30 chicken satay sticks for her parents.

What is the ratio of Germaine's satay sticks to Fadil's satay sticks?

Some of the best Satay in Singapore

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P6 Math: Fraction of one is more than Fraction of another

This question compares a fraction of one value with a fraction of another.

The difference between the 2 fractions of different totals and their total are values that are given.

Such questions are common in Paper 2 for P6 mid year exams.
Calculator usage is allowed.

Alfie and Brad spent a total of $802 at the arcade.

¹/₄ of the amount that Alfie spent was $41 more than ¹/₇ of what Brad spent.

How much more did Brad spend than Alfie?

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The question below will randomize with different numbers every hour. 

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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.

If the above question is easy, try to do the more challenging question below.

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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The question below will randomize with different numbers every hour. 

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