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?

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 ( 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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

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P5/P6 Math: Fractions with and without units (expert)

Problem sums with different fractions in the same question.

Many students will simply start doing fraction subtraction by making the denominator to the a common multiple of the 3 denominators. 

But that will result in a wrong answer as not all fractions are representing the same total.

Eg. ¹/₄ kg of the rice is not the same as ¹/₄ of the rice.

¹/₄ kg of rice represents ¹/₄ of a kilogram of rice

but

¹/₄ of rice represents ¹/₄ of the total of all the rice.

Such questions usually appear in Paper 1.

Calculator usage is not allowed.

Janelle has ⁸/₉ kg of rice at first.

She gave ¹/₂ of the rice to her mum and made dumplings using ¹/₃ kg of the rice.

How much rice does she have left?

(Leave your answer in kg)

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

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P6 Math: Fractional Decrease of 2 different totals with 2 possibilities

This question type challenges the ability of students to handle fractions of 2 different totals.

Students need to be able to make use of the fractional decrease and the 2 values given (One of remaining total and one of difference between the 2 remaining values).

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Jenny and Patsie have baked some cookies each.

If Jenny gave away ²/₅ of her cookies and Patsie gave away ¹/₂ of her cookies,

they will have 70 cookies left altogether.

But if Jenny gave away ²/₅ of her cookies and Patsie gave away ³/₄ of her cookies,

Jenny will have 19 more cookies than Patsie remaining at the end.

How many cookies did both girls bake altogether?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

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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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

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P5/P6 Math: Before and After Fractional Decrease with Total at the End

2 values, in which one is a fraction of another, each undergoes fractional decrease and the total amount left is provided.

Such questions will need students to make use of common multiples and comparison models in order to solve.

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

Calculator usage is allowed.

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

Alan and Ben each have some water in their bottles.

The volume of water Alan have is ¹/₂ of the volume of water that Ben have.

After Alan drank ¹/₃ of his water and Ben drank ³/₄ of his water,

both boys have 560ml of water left altogether.

What is the total volume of water both boys have at first?

Army water bottle is also known as a water canteen

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank