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 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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P6 Math: Catching up (Savings vs Spent vs Allowances)

Advance P6 questions such as these requires students to compare between daily differences and accumulated differences.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

An easier version of the question can be found here. (use for building concepts)

Esther's daily allowance is $0.40 more than Valerie's daily allowance.

Each girl spends the same amount of $1.50 every day and saves their remaining allowance.

When Esther saved $40, Valerie only managed to save $20.

How much was Valerie's daily allowance?

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P6 Math: Combination of Sets and Individual Units

This question type shows a total value resulting from a combination of multiple sets and mutiple single units without sets. 

These questions are common in Paper 2 of P6 exam papers.

Calculator usage is allowed.

Ivan is a fishmonger at the local market.

Each customer that buys 3 fish will get one free.

Each fish is sold at $12.

Last week, his customers either bought 1 or 3 fish.

Ivan collected $888 from the sale of his fish last week and gave away 21 free fish.

How many of his customers bought only 1 fish?

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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?

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 : Distance, Speed and Time (Faster Speed vs Slower Speed vs Difference in Time)

During COVID-19 period, the Distance, Speed and Time questions were removed from PSLE to reduce lighten the syllabus temporarily.

But after COVID-19, the topic is back and the questions for Distance, Speed and Time will become more prevalent in P6 Prelim papers with many variations in Paper 2.

One of such question variants is about a same vehicle travelling an identical distance.

One distance being travelled at a higher speed and the same distance travelling at a lower speed. The difference in time needed to complete the distance is also given.

With the 3 numbers (faster speed, slower speed, difference in time reaching), students must find out the duration of the time take needed to complete the distance for either the faster or slower vehicle.

Such question appear in P6 Prelims Paper 2.

Calculator usage is allowed.

A train travelling daily from Town A to Town B travels at a constant speed of 90 km/h on sunny days.

On rainy days, the train travels at a slower constant speed of 72 km/h and will arrive 10 mins later than on sunny days.

If the train leaves Town A at 12.15 p.m. on a sunny day, 

What time will it reach Town B?

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The question below will randomize with different numbers every hour. 

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P6 Math: Distance Speed and Time ( One Party Travelled a Further Distance beyond Mid Point)

Distance, Speed and Time questions require students to be proficient with the 3 formulas.

Distance = Speed x Time

Speed = Distance ÷ Time or ( Distance / Time )

Time = Distance ÷ Speed or ( Distance / Speed )

For questions where one party reaches the halfway point and the faster party is already ahead by some distance, this distance will be doubled by the time the slower party has completed the race.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed.

Steve and Jake participated in a go-kart race.

Steve drove at a speed of 6 km/h faster than Jake.

Both boys did not change their speeds throughout the race.

When Jake reached the midpoint of the race, Steve was already 1 km ahead of him.

If Steve completed the race at 9.55 a.m.,

At what time did Jake complete the race?

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The question below will randomize with different numbers every hour. 

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P5 Math: Ratio Basics (3 parties)

Ratio of 3 parties merely expresses the simplest form between 3 values and are not representing the exact value.

With one or more values given, students must make be able to derive the other values by means of multiplication or division.

Such questions usually appear in P5 Paper 1.

Calculator usage is not allowed.

Tricia, Belinda and Alicia has baked some muffins in the ratio of 4:3:1 respectively.

They baked a total of 640 muffins.

How many more muffins than Alicia did Tricia bake?

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The question below will randomize with different numbers every hour. 

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P5/P6 Math: 3 Item Types with Different Quantities and Values

Such questions uses fraction and multiples(ratio) to give a breakdown of the distribution of 3 different items. Each of the item have different values and the total value of all quantities of 3 items is also provided.

Such questions are common in Paper 2 of P5 exams.

Calculator usage is allowed.

Erica bought a number of durians,watermelons and jackfruits 

from the market and spent $620 altogether.

¹/₂ of all the fruits bought were durians.

The ratio of the number of watermelons to jackfruits bought was 3:2.

Each durian costs $20, each watermelon $4 and each jackfruit was $6.

How many durians did Erica buy?

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The question below will randomize with different numbers every hour. 

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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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The question below will randomize with different numbers every hour. 

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