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: Average of information given in table

For P6 exams, the average questions will be more challenging than those in P5 papers.

Questons like these will require students to make use of the information in the table to find the subtotal of each column in order to solve.

Such questions usually appear in Paper 2 P6 Prelims.

Calculator usage is allowed.

The table below show the number of customers whom bought pencils in the bookshop yesterday.

Number of pencils bought by each customer	0	1	2	3	4
Number of customers	0	10	9

Two of the numbers in the table are missing.

The customers bought an average of 2.5 pencils yesterday in the bookshop.

a) What was the total number of pencils bought at the bookshop yesterday?

b) How many customers bought 4 pencils each?

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?

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. 

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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. 

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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. 

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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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