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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P6 Math: Different Percentage Discounts causing Different items to be Same Price

2 different items for sale at different discount percentages but has the same price after their respective discounts.

Such questions are common in Paper 2 of P6 Prelims and PSLE papers.
Calculator usage is allowed.

A pen was for sale at a 15% discount and a vase was selling at a 20% discount.
Both items were sold at the same price after the discount.

Lisa wanted to buy both discounted items but was short of $36.

If she only bought the pen at the discounted price, she'd have $100 left.

How much more will she need if she were to buy both items without discount?

An intricate antique Chinese vase

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P6 Math: Redistribution of same total to lesser parties with left over

The same total meant to be equally distributed, is now distributed to lesser parties, with each party getting sligjhtly more than before. There will also be some left over after the "re-distribution" due to lesser shares.

A relatively similar question can also be found here.

Such questions are common in P6 Paper 2.

Calculator usage is allowed.

Miss Tan have 560 sweets to give to her class of 35 students.

Each student was supposed to get the same number of sweets.

Because some students were absent that day,

Miss Tan had 38 sweets left after distributing 2 more sweets
to all whom were present.

How many of her students were present that day?

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P4/P5 Math: Cutting out Smaller Squares from Larger Rectangle (Area)

Cutting out smaller squares from a larger rectangular sheet of paper requires students to remember that there may be "wastage" involved.

Common multiples may be employed to check if there are wastage.

Such questions usually appear in P3 and P4 exams in Section C.

Plots of land divided into smaller rectangles

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P5 Math: Total of 2 items with different quantities and different values

The question type below deals with 2 different items, each with different individual values and quantity. 

One item bought has a larger quantity that the other.
The total value of both items and their individual value difference are given.

Such questions often appear in P5 mid year exam onwards.

This is a paper 2 question so calculator is allowed.

A tougher version of this question for P6 students can be found here.

An easier version of this question for P4 students can be found here.

Calista bought 6 more dolls than hairbands from a shop.

Each doll costs $11 and each hairband costs $7.

She spent a total of $156 of all the hairbands and dolls.

How many dolls did she buy?

Classic Porcelain Dolls

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P4/P5 Math: Comparison Models of Multiples and Excess

Questions like these require students to be able to draw comparison models of different multiples.

The one with lesser multiples is added with a known number.

The difference between the 2 totals is also given.

Such questions usually appear in Section C of P4 or Paper 2 of P5.

Calculator will be allowed (if appears in P5 Paper 2)

Alan bought 8 vases at a nursery.

Ben also bought 6 vases and 3 pots of plants at $30 each.

Ben spent $40 more than Alan at the nursery.

How much is each vase?

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P4 Math: Excess and Shortage

The question type below introduces the concept of Excess and Shortage.

Such questions often appear in P4 exam papers in Section C.

Mr Bala have a sum of money to buy cupcakes. If he buys 3 cupcakes, he will have a change of $13. If he buys 8 cupcakes instead, he will be short of $12.

How much did Mr Bala have at first?

The difference between cupcakes and muffins is the toppings!

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P4/5/6 Math: Fraction of Total with excess

Questions like these deals with fractions with an additional value as a share between 2 persons.

Such questions usually appears in P4 section C and will also be tested for P5 and P6.

Janice and Kelly shared to buy a necklace of Linda.

Janice paid $30 more than ¹/₅ of the necklace.

Kelly paid $290 for her share of the necklace.

How much was the necklace?

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P5/P6 Math : Sharing the Shortage/Excess

The question type below is about evenly distributed items in multiple containers.

When some of the containers were removed, the items will be redistributed evenly into the remaining containers.

Such questions often appear in paper 2 for P5 after SA2 
and also for P6 mid year and prelim.

Calculator usage is allowed.

In a hall, chairs were arranged into 18 equal rows.
3 rows of chairs were removed and
these chairs were arranged equally into the remaining rows.
Each of the remaining row now has 12 more chairs.
How many chairs were there in the hall?

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P6 Math: Difference between 2 total values of different quantities

The question type below deals with 2 different items, each with different individual values and quantity. The difference in terms of the total value between the 2 items are given.

Such questions often appear in P6 mid year exam onwards.

This is a paper 2 question so calculator is allowed

A simpler version of this question for P5 students can be found here.

Catherine has a piggy bank
containing only 20-cent coins and 50-cent coins.

She has 7 more 50-cent coins than 20-cent coins in the piggy bank.
The total value of the 50-cent coins is $7.40 more than the total value of all her 20-cent coins.
How many 20-cent coins does she have in the piggy bank?

What is the mass of each different denomination of coins in Singapore?

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P5/P6 Math : Excess and Shortage (Multiples)

This question type deals with excess and shortage with multiples.
Very commonly seen in P5 SA2 and P6 exams.

Such questions can appear in Paper 2.
If so, calculator usage is allowed.

There are some cups and tables in a restaurant.

If each table is placed with 8 cups,

there will be 3 cups remaining that is not placed on any table.

If each table is placed with 10 cups,

there will be a shortage of 7 cups.

a) How many tables were there?

b) How many cups were there?

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P5/P6 Math: Excess and Shortage (Advanced)

This question type deals with "excess and shortage" and is commonly seen in P5 SA2 and P6 exams.

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

Mdm Lim had some rice at first.
She used exactly 3.72kg of her rice  
to make 16 big dumplings and 7 small dumplings.

With the remaining rice that she has,
she needs 47g more to make a big dumpling.

If she used the remaining rice to make a small dumpling,
she would have 59g of rice left.

How much rice is needed to make a big dumpling?

(Give your answer in grams)

History of the Dumpling Festival of China

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