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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P5P6 Math: Value and Multiples and Differences

This is a question type that will provide 4 of the listed information below for 2 different items of different quantities,

1. Total value of 2 items
   
   
2. Difference between 2 item's totals
   
   
3. Unit Difference between 2 items
   
   
4. Multiples of 1 item compared with another 

Similar questions using ratio to represent the multiples can also be found here and here.

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

Calculator usage is allowed

Samy bought thrice as many books as pens.

He spent a total of $3850 on all the books and pens.

Each book cost $5 more than each pen.

He paid $2030 more for all the books than for all the pens.

How many books did Samy buy?

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P6 Math: 2 Overlapping Right-Angled Isosceles Triangles with Area Difference given

Though this question looks seemingly like a triangle question, it'd actually require the knowledge of area of squares.

Such questions are common in Paper 1 of P6 Prelim papers.

Calculator usage is not allowed.

Triangular tiles forming Square patterns

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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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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 : 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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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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P6 Math: Speed of 2 vehicles arriving at different times

The speed of 2 vehicles and the duration difference is given.

Such distance, speed and time questions require students to be able to see the ratio between the speeds and duration in order to solve it.

Such questions are common in P6 Paper 2 exams.

Calculator usage is allowed.

A car and a van is travelling from Town A to Town B.

Both vehicles started at the same time.

The car is travelling at a speed of 80 km/h and the van at a speed of 64 km/h.

When the car reaches Town B, the van is still 10 minutes away.

How long did the car take to reach Town B?

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P4 Math : Fraction of Total given between 2 parties

When a fraction of total is given to describe the one share between 2 parties, the remaining fraction is meant to represent the other share.

Such fraction problem sum require students to make use of both numerators to compare the difference given, so as to derive and calculate the total value.

Such questions are common in P4 exams.

Two brothers, Imann and Najip were given some money by their parents.

Imann received ²/₉ of the total amount and received $25 less than Najip.

How much money were given to them altogether?

AI generated picture of 2 brothers

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