P4/P5/P6 Math: Did you know spelling is tested for Math exams?

The spelling for the days of the week and the months of the year are taught in Primary 1 Math.

Answers that requires students to write down the day of the week or month of the year cannot be written down in its abbreviated form.

ie

Thu instead on Thursday,

Feb instead of February,

will get no marks at worst or some marks deducted at least..

Such questions often appear in P5 and P6 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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P6 Math: Fraction of Remaining with Before and After

Many P6 Math Paper 2 questions in Mid Year and Prelim exams makes use of 2 concepts learnt in P5.

Concepts such as "Fraction of Remaining" and "Before and After" and other ratio concepts are often combined to produce a question like the one below.

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

In a farm, ²/₅ of the animals were chickens.

⁹/₁₀ of the remaining animals were pigs and the rest were ducks.

There were 112 more pigs than chickens at first.

After the farmer sold some of the chickens,

4/5 of all the animals left were pigs and ducks.

How many chickens were sold?

Animal Farm by George Orwell
All young adults should read this at least once

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

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P4/P5/P6 Math: Series of Repeating Pattern Numbers or Letters

Patterns are commonly tested since P3 for students to predict the next number in the sequence using Math.

The following question type deals with a repeating pattern of numbers or letters.

Suitable for P4, P5 and P6 students.

Calculator usage will not be necessary.

In a number series below,

1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 .....

a) What would be the 54th digit?

b) From the first digit to the 74th digit,
how many times would the digit "7" have appeared?

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: Before and After Average Expert (Average Increased after some left)

Average is about equal sharing. 

When the average is given but not the total number of parties to be shared with, the question becomes more complex.

Such "before and after" average questions will often appear in Paper 2 of P6 Prelim exams.

Calculator usage is allowed.

More of such before and after Average questions here and here.

Class 6C took a Math test recently and the class scored an average of 81 marks.

If the results of 4 students with average of 64 marks are excluded, 

the remaining students will have an average of 83 marks for this test.

How many students are there in class 6C?

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

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P5/P6 Math: Stacked Rectangles with Overlapping Triangle

A few identical smaller rectangles are stacked(combined) to form a larger rectangle.

From the larger rectangle, a triangle is drawn from the same dimensions, with part of the triangle, overlapping the large rectangle. ( as shown in the question below).

Such questions can appear in both Paper 1 and Paper 2 of P5 or P6 Math exams.
Calculator may be allowed if double digit long division needs to be carried out.

The "Recycle" logo is also a triangle

The question below will randomize with different numbers every hour. 

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P6 Math: Before and After Ratio (Expert)

A total of 3 ratios are given for this question type.

Starting ratio (before), ending ratio (after) and the ratio of change will be given for such questions.

Such questions will appear in Paper 2 of P6 Math exams.

Calculator usage is allowed.

Robin have a total of 384 grapes and berries in the ratio of 5:3 respectively.

He then gave away some grapes and bought more berries in the ratio of 2:1.

After that, the ratio of grapes to berries became 1:1.

How many grapes were given away?

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: Permutations

Once a Math Olympiad question type,

such questions are now becoming the norm for both P5 and P6 students alike.

Such questions usually appear in paper 1.

Calculator usage is not allowed.

In a robotics competition,

each robot must battle another robot once.

If there were 10 robots, how many battles must be carried out altogether?

Life-sized Gundam model in Japan

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: Value and Ratio and Differences

This is a common P5 SA2 and P6 Math question that is usually worth 4 marks or more.

Such questions will appear in Paper 2.

Calculator usage is allowed.

(An easier version of this question can be found here)

Rick spent a total of $31.20 buying some erasers and pens.

The ratio of pens to erasers was 9:2.

The total value of all the pens is $26.40 more than the total value of all the erasers.

Each pen costs $0.50 more than an eraser.

a) How much is an eraser?

b) How many pens did Rick buy?

If you are able to solve the above question easily.

Try the one below!

Below question will randomize with different numbers every few seconds. 

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P5P6 Math: Starting Difference Given with Both ending Equal at the End

This type of question begins with a value given(usually the difference between 2 parties).

Each of the value undergo fractional decrease and both ends up to be equal in the end.

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

Calculator usage is allowed.

Rachel has $105 more than Phoebe at first.

After Rachel spent ²/₃ of her money and Phoebe spent ¹/₄ of her money,

both girls have equal amount of money left.

How much did Rachel spend?

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: Splitting up groups to become more ( Percentage )

A group of 2 different items are further sub-divided into smaller groups within one group.
Instead of using fractions to split up the group, percentages are used instead.

Such questions are similar to the ones here.

These questions often appear in Paper 2 of P5 and P6 Math exams.
Calculator usage is allowed.

There are 40 students in a class.

25% of them are boys and the rest are girls.

80% of the girls wear spectacles.

How many of the girls do not wear spectacles?

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 : Rates and Part Thereof

Rates are commonly taught after students are able to grasp the concepts of time and mutiples.

The term "Part Thereof" refers to a fixed portion, regardless consumed by part or whole, that is charged the same "rate".

Such questions are common in Paper 1 of P5 Math papers.
Calculator usage is not allowed.

The rates of taking a taxi ride ( based on distance ) is shown in the table below.

First 1 km	$3
Every 200m or part thereof	50 cents

How much will it cost to ride on this taxi for 2.3km?

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: 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?

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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