P4 Math: Listing Multiples with Remainders

This question type requires students to list out multiples between 2 numbers and also to consider another condition when selecting the common number that appears in both lists.

Such questions are common in P4 exams in Section C.

Heather has some lollipops to pack.

If she packs the lollipops into bags of 5, there will be no remainder.

If she packs the lollipops into bags of 7, there will be only 2 lollipops in the last bag.

What is the least number of lollipops that Heather could have?

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P4/P5 Pie Chart (Fractions of Different Denominators)

These questions shows that the Pie Chart have 3 sections and each section is denoted by a fraction with its own unique denominator.

Students have to make use of common denominator so all the sections' fractions add up to become one whole.

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

Calculator usage is not allowed.

More similar questions on Pie Charts here.

Is this a Pie Chart or a picture of a pyramid?

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P4: Fraction of Remainder (Basic)

Fraction of a remainder is a concept similar to Fraction of a Fraction.

Student will need to know that they must not make both denominator the same if each denominator of the 2 fractions do not represent the same total.

Such questions are common in Section C of P4 exams.

More of such questions with slightly higher difficulty for P4 students here.

Jaya has some plates in green, blue and red in colour.

¹/₄ of his plates are green.

⁵/₆ of the remaining plates are blue and the rest are red.

He has 40 blue plates.

How many plates does he have altogether?

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P4P5P6: Set Method (1 free with every multiple of)

Set method of many variations are taught since P3.

Such questions require students to count in multiples of certain number and use those multiples to calculate the value of such sets.

For the type of questions shown below, students will also need to understand what are "Complete Sets" and "Incomplete Sets".

Such questions are common in Section B and C of P4 exams and also in Paper 1 of P5 and P6 exams.

Calculator usage is not allowed.

At a fruit stall, apples are sold at $2 each.

For every 4 apples sold, an apple is given free.

a) What is the minimum amount needed to buy 21 apples?

b) What is the most number of apples that can be bought with $84?

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P4P5 Reverse Model Drawing (Before and After Fractional Change)

This exercise below aims to help students better understand before and after models by having them look at the already completed models and have them fill in the blanks to the original problem sum description.

While these are not exam questions, they help students to structure their thinking process for the formation of the equations(number sentences) needed to solve such questions.

Given the before and after model above, 
fill in the blanks.

Luke has ___ times as many toy cars as Marvin at first.

After Luke gave away __/__ of his toy cars.

He now has equal number of toy cars as Marvin.

Luke have 13 toy cars at the end.

They have ___ toy cars altogether at first. 

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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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P4P5 : Internal Transfer Multiples (More Became Less)

This question type is very similar to the one with external transfer where the one with more became the one with less.

This one, however, is internal transfer, where the larger value gives away to the smaller value until the smaller value becomes the bigger one.

Such questions will appear in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Kieran has thrice as many marbles as Irwin at first.

After Kieran gave Irwin 75 marbles,

Irwin now has twice as many marbles as Kieran.

How many marbles did Kieran have at first?

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P4P5 Math: Before and After Multiples (More became Less)

This type of question is a "Before and After" where the one with more, became the one with less after an external transfer.

This question requires students to draw "before and after" comparison models in order to visualize the problem sum.

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

Calculator usage is not allowed

Another one of more difficulty that deals with "internal transfer"

Jenny has twice as much money as Kelly.

After Jenny spent $36 on a durian, 

Kelly now has twice as much as Jenny.

How much did both girls have altogether at first?

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P4/P5 Math: Spend and Left after buying 2 items (multiples of each other)

This question type requires students to draw comparison models and also a part/whole model to visualize the problem sum.

Such questions are common in WA2 in P4 exams and also Paper 1 in P5 exams.

Calculator usage is not allowed.

Steffi has $77 to spend at the mall.

After she bought a book and a camera, she has $14 left.

The camera costs thrice as much as the book.

How much was the book?

Vintage camera

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