P4P5 Math: 2 Different Totals with 2 Different Quantities of 2 Different Items

Such questions presents 2 different type of items, each of different values.

The total of 2 different quantities of 2 items are given.

Without any comparison given, students must be able to make use of the 2 totals given in order to solve.

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

Calculator usage is not allowed.

Similar questions of varying difficulties can also be found here and here.

3 pots and 5 lids costs $25.

4 pots and 3 lids costs $26.

How much does 6 lids cost?

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P5/P6 Math: Before and After with Percentage and Fractional Decrease

This question type begins with the total of 2 values given at first.

One of the value undergo percentage decrease and the other a fractional decrease.

Both values become equal at the end.

Students will need to work backwards in order to solve such questions.

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

Calculator usage is allowed.

Mr Tan and Mr Lee had a total of $418 at first.

After Mr Tan spent 75% of his money on a gift and Mr Lee spent ¹/₃ of his money on lunch, both men had equal amount of money remaining.

How much did each have remaining at the end?

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P5/P6 Math : 3 Parties Before and After with Equal Amounts at the End

This Before and After problem sum starts with the total of 3 parties given.

Each party undergo either numerical increase, numerical decrease and/or fractional decrease. The problem sum ends with each party having equal ratio in the end.

Such questions are common in P5 and P6 Paper 2.

Calculator usage is allowed.

Ben, Carl and Dave have a total of 1021 marbles at first.

After Ben halved his number of marbles by giving some away, 

Carl bought 118 more marbles and Dave threw away ¹/₅ of his marbles,

each boy have the same number of marbles left.

How many marbles did Dave have at first?

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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?

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P4 Math: Quantity Difference and Total Value Given

This is an easier version of a common P5 question shown here.

There are 2 types of items purchased and one of the items bought is slightly more than the other.

The cost of each type of item is given and the difference between the quantities of the 2 types of items bought is also know.

Such question requires students to use "set method" to solve.

These questions are common in Section C of P4 exam papers and will be more apparent in P5 exams.

Calculator usage is not allowed.

Siew Lee bought 1 more apple than pears and 

paid $69 altogether for all the apples and pears.

Each apple cost $5 and each pear cost $3.

How many apples did Siew Lee buy?

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P3/P4 Math: Fitting Equal Quantities into Containers with Remainder

The following question requires basic division so as to find out how many containers can be fitted with equal quantities but there will be some remainder after performing the division.

Such questions are common in P4 exams in Section A or B.

Mrs Lim is planning an excursion for her 60 students.

She needs to ferry the students and herself to the Science Center.

A mini-bus can sit up to 12 people.

What is the least number of mini-buses needed 

to ferry the students and herself to the Science Center?

Typical 12-seater mini-bus

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P5/P6 Math: A Total of 3 Given with Equal Ratio at the End

This question type starts with a known total of 3 parties.

Each party undergo either a fractional decrease or value increase/decrease and all 3 parties ends with equal ratio at the end.

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

Calculator usage is allowed.

Derrick, Lawrence and Patrick had $3025 altogether at first. 

After Derrick spent ⁵/₇ of his money and Lawrence spent ¹/₄ of his money 

and Patrick spent $155, each boy have the same amount of money left. 

How much did the 3 boys have altogether at the end?

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P5/P6 Math: Average Difference if Only One Changed

An average score of a group of students is given.

If one of the student's score increases or decreases by a certain value, the average score changes accordingly.

Such questions are common in Paper 1 of P5 and P6 exams.

Calculator usage is not allowed.

After a Science Test, the average score of a group of students was 83.

Due to an error in marking, one of the students scored 68 instead of 88.

The new average of the group became 82 because of the adjustment.

How many students were there in the class?

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P6 Math: Additional Items Bought with Same Amount due to Percentage Discount

The same identical item is bought in different quantities by 2 different people with the same amount of money. This is due to one of them buying with discount and the other buying lesser (paying full price).

Such questions are common in P6 Prelim Papers and usually appears in Paper 2.

Calculator usage is allowed.

Veronica and Betty bought identical mugs from the mall.

Each girl spent a total of $360.

Veronica bought 5 more mugs than Betty because

the mugs that Veronica bought were sold at a 20% discount.

How many mugs did Betty buy?

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P4 Math: 3 parties with 2 pairs of Comparison Sentences using Multiples

Usually there will be 3 values in this question type.

2 comparison sentences to describe 2 pairs of values using multiples.

Such questions are common in Section C of P4 tests and exams(WA1/CA1).

Reena has twice as many plates than bowls in her kitchen.

She has thrice as many forks than plates.

She has a total of 135 forks, plates and bowls.

How many forks does she have in her kitchen?

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