Nov 2, 2024

P4 Math: Assumption Method

There are 30 questions in a Science contest. 
6 marks will be awarded for each correct answer.
4 marks will be deducted for each wrong answer.
All the questions must be answered.

If Sakinah scores 100 marks in the Science contest, how many questions does he answer correctly ?

Solution:

P6 Math: Supervisor and Worker

If 1 supervisor and 3 workers are working together they will complete a task in 4 days.
If 2 supervisors and 1 worker are working together they will take 3 days to complete the task. How long will it take to complete the task if 1 worker is to work alone on the task ?

Solution

Oct 27, 2024

P4 Math: Rectangles and Square

The figure below is made up of Rectangle P, Rectangle Q, Rectangle R, and Square S. The perimeter of rectangle Q is 40 cm. The perimeter of the figure is 72 cm.

(a) Find the length of AB.

(b) Find the area of Square S.

P4 Math: Five identical rectangles

The figure below is made up of 5 identical rectangles. The perimeter of each rectangle is 48 cm. Find the length of AD.


Oct 26, 2024

Oct 25, 2024

Sep 21, 2024

P6 Math: Water container

Michael fills up 4 identical large and 7 identical small containers to the brim using 10.4 L of water. The amount of water he has left is 0.1 L short of filling up a large container, but it can fill up a small container with 0.3 L of water leftover.

(a) What is the difference in volume between the large container and small container ?

(b) What is the total amount of water that Michael has ?

Sep 18, 2024

P6 Math: Circle and Rectangle Ratio

The figure below is made up of a circle and a rectangle. The ratio of the area of the circle to the area of rectangle is 7 : 5. The ratio of the shaded area of the rectangle to the unshaded area of the rectangle is 3 : 7. What is the ratio of the shaded area to the unshaded area of the figure ?


Aug 24, 2024

P4 Math: Bishan Book Shop


 Use the information below to answer the questions



(a) Jane bought 6 books from Bishan Book Shop and paid $90.75. What is the total mass of 6 books that she bought ?

(b) If Jane paid with a $100 note, how much change did she get back after paying the 6 books ?

Aug 17, 2024

Lima Ujian yang dihadapi seorang Mukmin


المؤمن بين خمْس شدائد : مؤمن يحْسده ومنافق يبغضه وكافِر يقاتله ونفْس تنازِعُه وشيطان يضلّه (رواه الديلمي)

“Setiap mukmin dihadapkan pada lima ujian; mukmin yang mendengkinya, munafik yang membencinya, kafir yang memeranginya, nafsu yang menentangnya, dan setan yang selalu menyesatkannya.” (HR ad-Dailami).

Sumber hadits

Menjadi sangat relevan untuk memiliki kehati-hatian dan strategi yang jelas. Tidak terburu-buru (FOMO ...  fear of missing out) dan memiiki strategi / pemikiran yang komprehensif dalam menjalani kehidupan di zaman VUCA (volatility uncertainty complexity and ambiguity) di era disruptif seperti sekarang. 

Setiap mukmin perlu menjaga agama, akal, jiwa, harta, dan keturunan nya (Imam Ghazali di dalam kitab al Mustasyfa). Inilah yang dikenal dengan istilah Maqasid Syariah.

Aug 16, 2024

Berbagi Rahasia

Pertama kali belajar matematika nya 28 tahun yang lalu. Sekarang lebih mudah dimengerti dengan animasi seperti ini

Diffie Helman Shared Secret

AES: How to Design Secure Encryption

Aug 9, 2024

P6 Math: Tank Ratio

The ratio of the capacity of Tank A to that of Tank B is 7 : 3. Each tank is filled with some water. If the water from Tank B is poured into Tank A until it reaches the brim, there will be 9 liters of water left in Tank B. If the water from Tank A is poured into Tank B until it reaches the brim, there will be 33 liters of water left in Tank A. How much more water are needed to fill both tanks completely ?

P6 Math: Flour and Sugar

Shalih bought some bags of flour and sugar with the mass and prices shown below. The total mass of the flour is twice the total mass of the sugar. He paid a total amount of $127.20. Find the total mass of the flour and sugar bought by Shalih.



Aug 3, 2024

P6: Cubes volume


Jack has 8 identical large cubes and some identical small cubes. He packs all the cubes tightly into a rectangular box such that cubes of the same size are stacked on top of each other. The box is filled to the brim exactly.

The figure below shows the first layer of cubes packet in the box.


(a) How many small cubes does Jack have ?

(b) The volume of the box is 4032 cm³. The total volume of the 8 large cubes is 3/7 of the volume of the box. What is the length of one edge of the small cube ?

P6: Semi and Quarter Circles

For each figure:
(a) find the diameter of the circles (in centimeters) , and 

(b) perimeter of the figure (in π)

Figure (1) 



Figure (2) 



Jul 31, 2024

P6 Math: Teachers and Pupils

20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall are boys ?

P6 Math: Red and White Roses Ratio

There are 60 roses in a box. 30% of the roses are red roses while the rest are white roses. How many of red roses must be added so that the number of red roses will become 40%?


Jul 27, 2024

P6 Math : Painting Job

It is quite common question asked in the Speed chapter. A bit twist, rather than DISTANCE, now it is asking JOB.

Example:

John, Mark, and Shaun were hired to paint a house.

Together, they can finish the job in one hour.

John and Mark can finish the job in 1 hour 12 minutes.

Mark and Shaun can finish the job in 1 hour 30 minutes.

How long in minutes will Mark take to finish the same job by himself ?

May 22, 2024

Ratio: Loh Sneakers

 Mr. Loh had some sneakers in his shop. 3/8 of them were red, 3/10 of the remainder were black, and the rest were white.

The table above shows the amount he earned per pair of shoes. The number of red shoes sold to the number of black shoes sold to the number of white shoes sold was 1 : 2 : 4. In total, he sold one quarter of the shoes and earned $1,080. How many pairs of white shoes did have at first ?

Ratio: Cupcakes and Beef Pies

 In a bakery, the ratio of the number of cupcakes to the number of beef pies was 4:5. When 5/8 of the cupcakes were sold and another 12 beef pies were added on the shelf, the new ratio of cupcakes to beef pies was 1:4.

(1) How many cupcakes were eaten?

(2) How many cupcakes and beef pies were there at first?

Ratio: Orchard MRT

 On the MRT, the ratio of men to women was 2 : 1.

At Orchard Station, one fifth of the men and some women alighted from the train. The ratio of men to women became 8 : 1. At Newton Station, 20 men and 160 men boarded the train. There were the same number of men and women left the train.

(a) How many passengers were there in the train after Newton Station?

(b) How many women alighted from the train?

May 21, 2024

Ratio: Dan and Zach paid for X-Box

The ratio of the amount of savings that Dan had to the amount of savings that Zach had was in the ratio 8 : 5. They decided to share in the cost of an X-Box in the ratio of 3 : 1. Dan used half of his savings to pay for his share and Zach paid $120 for his share. 

What was their total savings after paying for the X-Box ?

P6 Math: Malik and Bilal money

If Malik gives $42 to Bilal, Malik will have twice as much money as Bilal. If instead, Malik gives $12 to Bilal, Malik will have thrice as much money as Bilal. Find the ratio of Malik's money to Bilal's money at first

May 1, 2024

Alif Ba Ta (5)

 

Small or Big

صَغِيرَةٌ أوكَبِيرَةٌ


This is Tala. Tala asked: Am I small or big? 

Her friends answered: You are indeed small. 

Alif Ba Ta (4)

Sim Sim and the Colours

سِمسِمن وَالألْوَانُ

This is  Kharbush and this is his dog Sim Sim. Both went out خَرَجَا  and play  لَيَلْعَبَا together مَعًا in the park. 

Kharbush looked inside Sim Sim kennel and thought: there هُنَاكَ  was something شَيءٌ  missing نَاقِصٌ.

Alif Ba Ta (3)

Hurry Up, Mouse

بِسُرْعَةِ أيُّهَاالفَأرُ

A small mouse wanted أرَادَ to return أن يَعُودَ to his home, but he could not see يَرَى the road well in the night. 

The little mouse quickened أسْرِعَ , in the meantime there فَهُنَاكَ  was a fox ثَعْلَبٌ ! 

Alif Ba Ta (2)

Strange Egg

البَيْضَةُ الغَرِيبَةُ

Flock of birds are sitting on their eggs, except ماعَدَا the duck البَطَّةَ, which does not have an egg. But she وَلَكِنَّهَا was very lucky مَحْظُوْظَةٌ , she found big egg near  قُرْبَ the river النَّهْر. The duck said to the egg: You are the most beautiful egg in this world. I will صَوْفَ  take care  أعْتَنِي  of you. The duck sat on the egg.

Alif Ba Ta (1)


Cat is always cat 

 القِطَط هي القِطَط

Princess Nur loves cat

One day, she bought a small kitten قِطًً

He has stripes مُخَطَّطً like tiger, and he has لَدَيْهِ tail ذَيْلٌ like tiger's tail, and he has لَدَيْهِ  laugh ضِحْكَةٌ like tiger, so she named him فَسَمًتْهُ Namr.

Apr 21, 2024

P6 Math: Student average mark

 A group of students sat for a test. Their average mark was 74.5. Three students found out that their marks were wrongly recorded as 63 instead of 84. The mark increased to 76.3 after correcting the mistakes.

(a) How many students sat for the test?

(b) A student who was absent sat for the test when he came back to school. The average mark decreased to 75 when his marks was included. What was the total marks the class scored?

Apr 15, 2024

P6 Math: Pandan and Lotus Paste Mooncakes

Putra baked some mooncakes. There were 25% fewer pandan mooncakes than lotus paste mooncakes. He took 20 pandan mooncakes to give to his friends and baked another 13 lotus paste mooncakes. He packed the rest into boxes of 7 mooncakes each. If there were 5 lotus paste mooncakes in each box, how many pandan mooncakes did he bake at first ?

P6 Math: Apples and Oranges in Two Boxes

There are 200 apples and 90 oranges in Basket X.

There are 80 apples and 100 oranges in Basket Y.

Find the total number of apples and oranges that must be transferred from Basket X to Basket Y so that 4/5 of the fruits in Basket X and 1/2 of the fruits in Basket Y are apples.

Feb 17, 2024

Haflah

 

Tiap pagi diisi


Insyaa Allah diberkati Allah Swt


Marha...marha... utk anak-anak tersayang ... Nss dan Sm sudah memulai sejak 2022 2023 2024... Snh mengikut pada 16 Feb 2024. Sr menyusul ya insyaa Allah 2025.


(Haflah Announcement, Madrasah Irsyad az Zuhri)