P4P5 Math: Before and After Start Same End Multiples

One of the "Before and After" problem sums where the 2 parties start with equal value.
After each undergo a decrease, one of value remaining is a multiple of the other.

Such questions are common in P4 and P5 exams.

They either appear in Paper 1 of P5 or Section C of P4 papers.

Calculator usage is not allowed.

Evelyn and Kathy each have the same number of stamps at first.

After Evelyn sold 24 stamps and Kathy gave away 100 stamps,

Evelyn now has thrice as many stamps remaining as Kathy.

How many stamps did Evelyn have at first?

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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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P4P5 Math: Fraction of Remaining(Simpler)

"Fraction of remaining" is a concept that requires students to be able to understand that in the 2 fractions given, one represents "Fraction of Total" and the other represents "Fraction of Remaining".

The denominators of both fractions need not be made to be the same as both represents a different value.

Such questions usually appear in Section C of P4 exam papers.

Calculator is not allowed. (for P5 students attempting this question)

Similar question for P4 can be found here.

A tougher version for P5 can be found here.

Calvin has a collection of precious gemstones.

¹/₄ of his gemstones are green in colour.

¹/₃ of his remaining gemstones are red and the rest are blue.

He has 24 blue gemstones.

How many gemstones does Calvin have altogether?

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P4 Math: Simple Pie Chart

Pie Charts in P4 will require students to understand the meaning of the 90 degree and what fraction(of the total) the right-angled piece represents.

Such questions usually appear in Section C of P4 exam papers.

P5 and P6 students can use this as extra practice for Paper 1 as well (no calculator usage).

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Revisting Before and After Ratio ( Both Parties Change )

This question type is similar to the one posted here.

There are 2 values being compared using ratio and each of them undergo addition or subtraction and the ending ratio is also provided.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed.

Eric and Tyra were given money by their father in the ratio of 7:2. 

After Eric spent $165 and Tyra was given $210 more, 

the ratio of Eric to Tyra's money at the end became 2:7. 

How much did Tyra have at first?

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P6 Math: Distance Speed and Time (Travelling Further than or Nearer than Mid-Point)

Another variation of the Distance Speed and Time.

2 persons are travelling from different start points and are moving towards the same destination along a straight line. One of them needs to travel past the mid-point but the other does not need to. (hence a shorter distance travelled).

Students need to know how to calculate the difference between the distance travelled between the 2 persons before solving the rest of the question.

Such questions are common in Paper 2 of P6 Prelim papers.

Calculator usage is allowed.

Ali and Bala are cycling from each of their separate houses towards Carl's house.

Bala's house is nearer to Carl's house than Ali's.

Both boys started their journey at the same time.

There is a supermarket in the mid-point between Ali's and Bala's house.

This supermarket is 560m away from Carl's house.

Ali cycled at a speed 140m/min faster than Bala.

Ali arrived at Carl's house at the same time as Bala.

a) How much further did Ali cycle than Bala to reach Carl's house?

b) If both boys started their journey at 4.50 p.m., at what time did they reach Carl's house?

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P6 Math: Average of information given in table

For P6 exams, the average questions will be more challenging than those in P5 papers.

Questons like these will require students to make use of the information in the table to find the subtotal of each column in order to solve.

Such questions usually appear in Paper 2 P6 Prelims.

Calculator usage is allowed.

The table below show the number of customers whom bought pencils in the bookshop yesterday.

Number of pencils bought by each customer	0	1	2	3	4
Number of customers	0	10	9

Two of the numbers in the table are missing.

The customers bought an average of 2.5 pencils yesterday in the bookshop.

a) What was the total number of pencils bought at the bookshop yesterday?

b) How many customers bought 4 pencils each?

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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