Posted in Educational Advice, MUST KNOW PSLE, Parents - PSLE, Pri Math, PSLE Math

MUST-KNOW PSLE MATH PROBLEM 3

Question:

Three boys spent the same amount of money on printers.

Henry spent 2/5 of his money, Jonas spent 3/4 of his and Fred spent 2/3 of his.

They had a total of $1440  at first. How much of money did each boy spend?

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Answers:

Since Each boy spent the same amount of money, you make the numerator the same.

Henry                                    Jonas                                   Fred

2/5   x 3                                  3/4 x 2                                    2/3 x 3

6/15                                           6/8                                           6/9

The denominator now  represents the total Units they each had.

15 Units                                 8 Units                                   9 Units

TOTAl Amount: $1440

Total Units : 15+8+9= 32 Units

32 Units -> $1440

1 Unit -> $45

 Since Each of them Spent 6 units,

6 Units-> $45 x 6 = $270.

Each boy spent $270.

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KEY WORDS/THINGS TO LOOK OUT FOR?

1) It is a Fraction question

2) It has words like Spent/used the Same/Equal . 

I have made another similar sets of question  below for you to MASTER THE TECHNIQUE. Let us know what are your answers on our  Facebook Page “‘ https://www.facebook.com/SingaporeLearner/”.  All the best for your revision.

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Question 1:

Mary and Tom used the same number of beads to make jewelries.

Mary used 2/5 of hers and Tom used 3/4 of his. They both had a total of 2300 beads.

How many beads did each of them use?

 

Question 2 :

There are 540 people in Block A and Block B. 2/5 of the people in School A and 1/4 of the people in School B are Children. Given that there is an equal number of Adult in both Block A and Block B, how many Children are there in School A?

 

 

 

Posted in Must-know PSLE Math

MUST-KNOW PSLE MATH PROBLEM 2

Do you know WHEN and HOW to use the Row-Minus-Row Method? This method is used when the question involves several relationships between multiple items and for each relationship a Total is given.

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Question:

Kyle bought 6 similar pencils, 3 similar books and a file for $78.

1 pencil and 1 book cost $20.

1 pencil and 1 file cost $12.

What was the cost of the file?

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Solution using the Row-Minus-Row Method:

Given 6p + 3b + 1f = 78  ———–Row 1

Given 1p + 1b = 20

So 3p + 3b = 60  ———– Row 2

Row 1 – Row 2:  3p + 1f  = 18  ———— Row 3

Given 1p + 1f = 12

So 3p + 3f = 36  ————- Row 4

Row 4 – Row 3:   2f = 18, so f = 9.

Ans:  $9

PSLE MATH WORKSHOP FOR PARENTS & STUDENTS – How to solve difficult problem sums using the Storyline-Balance Method

PSLE MATH JUNE HOLIDAY INTENSIVE REVISION

PSLE SCIENCE JUNE HOLIDAY INTENSIVE REVISION

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TUITION CLASSES:

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ipbutton                    pributton

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EDUCATIONAL SERVICES:

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By EX-MOE TEACHERS & EXPERIENCED TUTORS

@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).

CALL 65694897 OR SMS 98530744 OR 97860411.

Posted in Must-know PSLE Math, PSLE Math

MUST-KNOW PSLE MATH PROBLEM 1

PSLE MATH WORKSHOP FOR PARENTS & STUDENTS – How to solve difficult problem sums using the Storyline-Balance Method

PSLE MATH JUNE HOLIDAY INTENSIVE REVISION

PSLE SCIENCE JUNE HOLIDAY INTENSIVE REVISION

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Question:

The ratio of Eric’s money to Kim’s money was 3 : 1. After Eric gave Kim $60, the ratio of Eric’s money to Kim’s money became 3 : 5. How much did Eric have at first?

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Solution using the Storyline-Balance Method:

E         :        K

At start:         3u       :        1u

Story:             – 60             + 60

At end:         3u – 60        1u + 60

Final ratio:      3       :       5

So 5 sets of (3u – 60) = 3 sets of (1u + 60)

15u – 300 = 3u + 180

15u – 3u = 180 + 300

12u = 480

1u = $40

So at first Eric had 3u = 3 x 40 = $120

Ans:  $120

Note:

The above is just one method. Another method requires you to notice that in the above problem, the total number of units remain the same as it is an INTERNAL TRANSFER or TOTAL UNCHANGED situation or concept. However, using the Storyline-Balance method, you don’t need to know what has been unchanged.

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TUITION CLASSES:

jcbutton          secbutton

ipbutton                    pributton

_______________________________________________________________

EDUCATIONAL SERVICES:

hwsupervbutton                   intensivebutton

alevelprepbutton                   olevelprepbutton

______________________________________________________________

By EX-MOE TEACHERS & EXPERIENCED TUTORS

@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).

CALL 65694897 OR SMS 98530744 OR 97860411.

 

Posted in PSLE Math

P6 MATH (2015) HOLIDAY HEADSTART – SPEED & PROBLEM-SOLVING (starting 6 Dec)

This workshop, over 3 Saturdays, is to introduce current P5 students to a DIFFICULT TOPIC  in PSLE MATH – SPEED, and PROBLEM SOLVING involving Speed (this time slot, Sat 9.30 am – 11.15 am, will continue to be the P6 Math weekly tuition slot for 2015)

TO REGISTER, SMS <STUDENT NAME> , <P6MHH> TO 97860411.

Level/Subject:  P6 MATH (2015)

Dates:  SATURDAYS 6/12, 13/12 and 27/12.

Time: 9.30 am – 11.15 am.

Location:   Blk 644, Bukit Batok Central, #01-68. S(650644).

Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok Bus Interchange. Buses that stop along the roads surrounding our location are numbers 157, 178, 66, 506, 173, 174, 176, 187, 985. Buses services which terminate at Bukit Batok Bus Interchange are 61, 77, 106, 173, 177, 189, 852, 941, 945, 947.

Focus: Conceptual Understanding

Format: Teaching + Worksheets + Discussions

Fee: Only $120 for all 3 sessions.

Tutor: Mr Ilyasa

Mr Ilyasa has been coaching students in ‘A’ Level & IB Physics and Mathematics for more than 7 years, as well as ‘O’ Level & IP Physics, Additional Math, E. Math and PSLE Math for more than 10 years. An alumnus of RI and RJC, Mr Ilyasa holds both a Master of Education degree and a Postgraduate Diploma in Education with Credit from the National Institute of Education, as well as a Bachelor of Science degree from the National University of Singapore.

TO REGISTER, SMS <STUDENT NAME> , <P6MHH> TO 97860411.

Posted in PSLE results

PSLE MATH & SCIENCE INTENSIVE REVISION JUNE HOLIDAYS

This popular course is back!

Dates: 16 June to 19 June, 4 days.

Time: Math is 9.30 am to 12.30 pm and Science is 1.30 pm to 4.30 pm. (Light refreshment and rest breaks provided)

Location: Blk 627, Bukit Batok Central. (It is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok bus interchange. Buses that stop along the road in front of Blk 627 are numbers 157, 178, 66, 506, 173, 174, 176, 187, 941, 947, 985)

Fee: $240 (one subject) or $450 (both subjects).

Max. no. of students:  8.

Tutor: Mr Ilyasa (ex-sch teacher, M.Ed, PGDE, B.Sc).

A former MOE school teacher, Mr Ilyasa has been coaching students in ‘A’ Level & IB Physics and Mathematics for more than 6 years, as well as ‘O’ Level & IP Physics, Additional Math, E. Math and PSLE Math for more than 10 years. An alumnus of RI and RJC, Mr Ilyasa holds both a Master of Education degree and a Postgraduate Diploma in Education with Credit from the National Institute of Education, as well as a Bachelor of Science degree from the National University of Singapore.

To register, sms <student name><PSLE><subject> to 97860411.

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Due to extra demand, the PSLE Math course above is repeated in the following week, from 23 June to 26 June, 1.30 pm – 4.30 pm.

To register, sms <student name><PSLE><Math2> to 97860411.

Posted in Pri Math, Pri Science

PRI 3 – PRI 6 CONCEPTUAL LEARNING SCHEDULE 2014

Classes marked with a ‘*’ are Conceptual Mastery courses whereas those without a ‘*’ are Conceptual Drilling classes.

Conceptual Drilling classes are for students who need to strengthen their maths or science foundation, using constructivist and scaffolding approaches. Conceptual Mastery courses are for students who are ready to learn how to answer or solve challenging questions, using a metacognitive approach.

P3 Math*:      Every Monday, 3.00 pm – 4.30 pm (Start Nov 18); Code: P3M1.

P3 Math:      Every Wednesday, 3.00 pm – 4.30 pm (Start Nov 20); Code: P3M2.

P3 Science*:   Every Thursday, 3.00 pm – 4.30 pm (Start Nov 21); Code: P3S1.

 

P4 Math:       Every Monday, 3.00 pm – 4.30 pm (Start Nov 18); Code: P4M1.

P4 Math*:       Every Tuesday, 3.00 pm – 4.30 pm (Start Nov 19); Code: P4M2.

P4 Science*:    Every Friday, 3.00 pm – 4.30 pm (Start Nov 22); Code: P4S1.

 

P5 Math:        Every Monday, 4.30 pm – 6.00 pm (Start Nov 18); Code: P5M1.

P5 Math*:        Every Tuesday, 4.30 pm – 6.00 pm (Start Nov 19); Code: P5M2.

P5 Math:          Every Saturday, 3.30 pm – 5.00 pm (Start 11 Jan); Code: P5M3.

P5 Science:    Every Wednesday, 4.30 pm – 6.00 pm (Start Nov 20); Code: P5S1.

P5 Science*:    Every Friday, 4.30 pm – 6.00 pm (Start Nov 19); Code: P5S2.

P5 Science:    Every Saturday, 5.00 pm – 6.30 pm (Start 11 Jan); Code: P5S3.

 

P6 Math:        Every Monday, 6.00 pm – 7.30 pm (Start Nov 18); Code: P6M1.

P6 Math*:        Every Tuesday, 6.00 pm – 7.30 pm (Start Nov 19); Code: P6M2.

P6 Math*:        Every Saturday, 9.30 am – 11.00 am (Start Nov 23); Code: P6M3.

P6 Math:        Every Saturday, 12.30 pm – 2.00 pm (Start Nov 23); Code: P6M4.

P6 Science*:     Every Friday, 6.00 pm – 7.30 pm (Start Nov 22); Code: P6S1.

P6 Science:    Every Wednesday, 6.00 pm – 7.30 pm (Start Nov 20); Code: P6S2.

P6 Science*:     Every Saturday, 11.00 am – 12.30 pm (Start Nov 23); Code: P6S3.

P6 Science:     Every Saturday, 2.00 pm – 3.30 pm (Start Nov 23); Code: P6S4.

 

P6 Math:        Every Monday, 6.00 pm – 7.30 pm (Start Nov 18); Code: P6M1.

P6 Math*:        Every Tuesday, 6.00 pm – 7.30 pm (Start Nov 19); Code: P6M2.

P6 Math*:        Every Saturday, 9.30 am – 11.00 am (Start Nov 23); Code: P6M3.

P6 Math:        Every Saturday, 12.30 pm – 2.00 pm (Start Nov 23); Code: P6M4.

P6 Science*:     Every Friday, 6.00 pm – 7.30 pm (Start Nov 22); Code: P6S1.

P6 Science:    Every Wednesday, 6.00 pm – 7.30 pm (Start Nov 20); Code: P6S2.

P6 Science*:     Every Saturday, 11.00 am – 12.30 pm (Start Nov 23); Code: P6S3.

P6 Science:     Every Saturday, 2.00 pm – 3.30 pm (Start Nov 23); Code: P6S4.

 

Administrative Matters:

Location: Blk 627, Bukit Batok Central. Our location is just a 3-min walk from either the Bukit Batok MRT station or the Bukit Batok bus interchange. Buses that stop along the road in front of Blk 627 are numbers 157, 178, 66, 506, 173, 174, 176, 187, 941, 947, 985.

Max Class Size: 8

Monthly fee for each subject or slot for P6/P5/P4/P3 is $110/110/90/90 respectively, inclusive of materials fee. Discounts apply for multiple subjects or slots.

TO REGISTER, SMS <FULL STUDENT NAME>, <CODE> TO 97860411.

For enquiries, kindly call or sms to 9786 0411.

Posted in Holiday Classes, Pri Math

Final PSLE Math Intensive Revision (Sep 9 to Sep 12)

For our latest timetable, click here =>  pributton

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ORIGINAL POST(OUTDATED):

Ok, a parent has asked me abt PSLE Math intensive revision during the Sep hols. Due to my busy schedule, I can only conduct it from 2pm to 4pm, Mon (Sep 9) to Thurs (Sep 12) at Bukit Batok Central Blk 627, near West Mall and Bukit Batok MRT station. Since it is only 8 hrs, I will only cover the heuristics used to solve difficult problem sums, as a last-minute revision of such concepts.

Each 2 hr session is $30. So total fees for four days is $120. Due to limited places (max eight students), confirmation of registration is by advance payment. To register, send an sms to my hp no: 97860411.

This course is personally taught by me, with a focus on thinking skills and metacognition. Please share this post with people who may be interested. Thank you!

Rgds,

Ilyasa,

Principal Tutor, Singapore Learner,   Ex-sch teacher, M.Ed, PGDE, B.Sc.

You can view my resume at https://singaporelearner.com/about-us/about-ilyasa/

Posted in Pri Math, Pri Science

P6 MATH & SCIENCE, June INTENSIVE REVISION For PSLE 2013

For our latest timetable, click here =>  pributton

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ORIGINAL POST(OUTDATED):

 

 

For enquires, pls call 97860411, or visit www.conceptlearning.sg

To register for classes at Concept Learning, click here.

The PSLE Intensive Revision in Mathematics is a 4/5-day intensive revision programme conducted during the upcoming March and June school holidays to prepare P6 pupils for the 2013 PSLE Mathematics Examination.

The objectives of the programme are as follows:

  1. Review of problem-solving strategies to conquer Challenging PSLE maths problems using the Conceptual Approach such as Advance Model Drawing, Remainder Concept (Branching), Repeated Identity, Equal Concept, Unchanged Total, Proportions Concept and Constant Difference. The strategies cuts across the major topics in PSLE such as fractions, ratio, percentage, decimals, measurement and numbers.
  2. Review and the reinforcement of key topics such as Percentage, Ratio, Fractions, Decimals, Algebra, Geometry, Area and Perimeter and Volume.

ilyasa2

A former MOE school teacher, Mr Ilyasa has been coaching students in ‘A’ Level (H2/H1) Physics and (H2/H1) Mathematics for more than 7 years, as well as ‘O’ Level Physics, Additional Math, Math and PSLE Math for more than 10 years. An alumnus of RI and RJC, Mr Ilyasa holds a Bachelor of Science degree with Merit from the National University of Singapore, a Postgraduate Diploma in Education with Credit from the National Institute of Education, Singapore, and a Master of Education (Curriculum & Teaching) degree also from the NIE, Singapore.

Posted in Pri Math

An important PSLE math concept to understand (Part 1)

Let me share with you a difficult concept normally tested in P5 or P6 Math. I’m not sure if it has a name. It makes use of the concept of difference between two values but it’s not the same as the Constant Difference concept, which refers to the idea of a particular difference between two values being the same despite making changes to other quantities. The concept that I’m about to introduce actually makes use of TWO differences, the difference between individual values and the difference in their total values. Quite a number of tough P6 qns are actually testing whether students know that there is a relationship between the difference between two individual values and the difference in their total values.

 

I think this is best explained without any unknown values. Let’s say a pencil costs $1 and a pen costs $1.50. The difference in their values is $0.50 right? Let’s call this the Individual Difference. Let’s say you purchase 10 of each, costing a total of $10 and $15 respectively. The difference in their total values is $5 right? Let’s call this the Total Difference. Is there a relationship between the Individual Difference (ID) and the Total Difference (TD)? Yes. Notice that if TD is divided by ID (5 / 0.50), what you’ll get is 10, which is the number of each item you purchased. If this is easy for you to understand, it is likely because all values are known and you were working forwards to find the total difference, and not working backwards to find the number of each item bought.
Let me now show you how a typical P6 question looks like:
John bought an equal number of pens and pencils. Each pencil costs 50 cents less than a pen. John paid a total of $5 more for the pens than for the pencils. How many pencils did John buy? (using TD/ID, the answer is 10. but notice how intriguing the question has become?)
Please also realise that the concepts of ratio, decimals, fractions and percentages are all related and interchangeable. So let’s make the above question harder:
John bought some pens and pencils. The ratio of the number of pencils he bought to the number of pens is 1:1. Each pencil costs $1 and each pen costs 50% more than a pencil. John paid a total of $5 less for the pencils than for the pens. What is the total number of pens and pencils that John bought? (answer: 20)
Another way of looking at the above problem is to see that since each pencil costs 50 cents less than each pen, it must have taken 10 of them to be a total of $5 less than the SAME quantity of pens.

Rgds,

Ilyasa,

Founder, Singapore Learner; Director, Concept Learning Pte Ltd

Related links:

(1) Challenging PSLE Math Programme for Medium to High Ability Students

(2) P6 MATH & SCIENCE, March & June INTENSIVE REVISION For PSLE 2013

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For our latest timetable, click here =>  pributton