9/17/09

CPU Cooling methods

CPU cooling methods

The massive activity that goes on inside your PC generates extensive heat., sometimes known to reach 185 degrees F. The reasons for your PC heating up are
• Insulation caused by dust – dust filters can be provided and other persistent dust can be vacuumed out
• Scant or erratic airflow – can be modulated for even spread

Optimally the CPU has to be maintained around a temperature of 70 degrees F. A CPU coolant does just that. In its absence, overheat leads into myriad problems culminating in frequent crash-downs, computer freezing and in curtailing the life-span of the computer.
A passive heat sink is the basic type of CPU cooler. It draws heat away from the processor, which is dissipated over a large metallic (aluminum is commonly used) surface area. When a fan, atop the sink, or below it, exchanges the heat from the chip, for cooler air, this becomes an active heat sink When suitable computer parts are throttled to bring down the heat it is called soft cooling.
The sink is attached to the processor using spring or screw devices or a thermal interface material that adheres the processor to the heat sink. The interface material should be used in computers, for which mounting the sink on screws or springs is not possible. An inappropriate application of thermal compound can lead to inadequate heat transfer.


A good heat sink characteristics

Fans (about 12 volts power and 2X120 mm dimension) have to be designed optimally to dissipate the right amount of heat
• The right surface area for heat transfer
• Designed for maximum thermal transfer – a factor dependent on the material of the sink and the thickness of the fins (Thick fins – good conductivity, fine fins – better dissipation)
• A combination of optimal area and the fins spaced at the right distance should be sought
• Flat surface at the heat source ensures an even, thin application of interface material, for better cooling
• At the surface of contact the level of adherence must be high, to provide good pressure

The performance of the sink is measured in C/W or K/W (thermal resistance), not in the regular temperature scales like Centigrade or Kelvin, as difference in temperature is the required parameter

For instance of a load of 30W is applied and the temperature rises by 15 degrees C then the performance is rated as
15C/30 W = ½ C/W.
However you cannot use this parameter as one of the criteria for purchase of your computer, because the thermal resistance displayed on the product may be inaccurate or exaggerated, as a marketing strategy.

Liquid cooling
This consists of a combination of
• a system of pipes with liquid, that run inside the cooling system to extract heat from the processor and cool it
• a pump for liquid circulation. a cooling block to wring out the heat from the microprocessor
• a optional radiator with a condenser coil to decrease the temperature of water and send out the hear from the CPU onto the cooling arrangement
PCs with this set up do not need fans whereas a Cray 2 will need radiators to complete the set up.
The liquid must
exhibit a lower level of thermal conductivity
• have a certain extent of dielectric nature
Generally the liquids used are motor oils, various other oils including cooking oil, and Flour inert, (a special cooling oil manufactured by the 3M Company)

Water is used significantly in computers set for overclocking. Liquid nitrogen (or sometimes dry ice) cooling can generate a high efficiency rate in computer working. This uses water as the medium to cool/condense… However nitrogen is used only in highly overclocked situations as it needs to be refilled. Besides, the system may succumb to the temperature deviations created, created within the cooling system.

Be wary of
Heated liquid- This problem is taken care of by fans, usually low-noise ones, to cool the liquid which are set up outside the portable computer’s case.
• Evaporation –When the overheated liquid eventually evaporates, resort to sealing the medium within the computer or refill the liquid whenever needed
• Seepage- For leak problems, disconnect the computer from the power source, mop the seepage with an absorbing cleaning material , identify the source of leakage and replace it… Avoid skin contact with coolant, as it may cause irritation.

The other cooling options and methods are
Peltier cooling creates a temperature difference using Bismuth-telleride thermocouples, stacked in hundreds on the principle of Seebeck effect
• HVAC systems in large Data Centers
• Phase Change cooling in PCs, situated under it with pipes reaching the processors
• H2Ceramic Cooling –uses sensors to detect overheat-combining with Peltier and liquid cooling

Heat Sensors To help manage CPU cooling the motherboard can be equipped with a smart sensor to indicate voltage, temperature of the CPU and the fans. Smart sensors are now being equipped with features that can, on excess heating
• set off an audio alarm
• flash a warning message on your screen
• shut down the system automatically.


For more related information you can reach to
http://www.heatsink-guide.com/
http://en.wikipedia.org/wiki/CPU_cooling#Spot_Cooling
http://www.pantherproducts.co.uk/Articles/CPU/CPU%20Cooling.shtml
* * * * * * * * * *








A+ Test
1. Should the fans
a)blow air towards the heat sink
b)draws air away from it
c)change to and fro in direction
to cool effectively

2. The fins on the should be
a) Fine and closely spaced
b) Thicker and closely spaced
c) Fine and widely spaced
d) Thick and widely spaced
3. Cooking oil is a good option as a cooling liquid because
a) It is an electrical Insulator
b) It can dispel heat
c) Both the above
d) Neither of the above because It has a very low melting point
4. Cables for airflow in a cooling unit must be
a) Flat ribbon cables to synchronize with the storage drive and holding the conductive wires together tightly, to reduce surface area
b) Rounded cables holding the conductive wires together tightly to reduce surface area
c) Neither of the above
5. Consider these statements regarding water as the cooling liquid for your CPU
A. Freezing point of water used in coolants can be reduced with additives.
B. Color is added to monitor flow
C. Anti corrosive/antimicrobial additives increases its efficiencyas a cooling medium
a) A,B and C are essential
b) A is optional
c) B is Optional
d) C is optional
e) All additives are optional . water works fine without any of them

9/12/09

NUMBER PATTERNS AND SEQUENCES TUTORIAL

NUMBER PATTERNS AND SEQUENCES TUTORIAL

Subject : Mathematics Form 1




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Learning Objective : Number Patterns and Number Sequences Learning Outcomes : 1. Identify patterns of number sequences. 2. Extend, complete and construct number sequences. 3. Recognize odd and even numbers and explore their general properties. 4. Identify prime numbers. 5. Understand factors and prime factors. 6. Find the common factors and highest common factors (HCF). 7. Understand multiples. 8. Find the common multiples and lowest common multiples (LCM

2.1 Number Patterns & Number Sequences - A list of numbers that follow a certain pattern is called number sequence. - In a number sequence, we can see how the number pattern is form.


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1. 3, 7, 11, 15, 19 Pattern : begin with 3 and add 4 to the number before it (+4) 2. 305, 300, 295, 290, 285 Pattern : begin with 305 then minus / subtract 5 from the number before it (- 5) 3. 2, 6, 18, 54, 162 Pattern : begin with 2, then multiply each number by 3 (x3) 4. 64, 32, 16, 8, 4 Pattern : begin with 64 then divide each number by 2 (÷ 2)


Complete the missing number in the n
List the number sequences for these number sequences 1. 3, 6, 9 , 12, 15 , 18 Pattern : + 3 2. 64, 56, 48, 40, 32, 29 Pattern : - 8 3. 7, 21, 63, 189, 567, 1761 Pattern : x 3 4. 800, 400, 200, 100, 50, 25 Pattern : ÷ 2

umber patterns
1. List down the whole numbers between 30 to 37 31, 32, 33, 34, 35, 36 2. Add 5 to whole numbers from 3 to 28 3, 8, 13, 18, 23, 28 3. Subtract 3 from whole number from 13 to 1 13, 10, 7, 4, 1 4. Multiply 4 to whole numbers from 2 to 128 2, 8, 32, 128


2.2 Even Numbers & Odd Numbers
- Even numbers are whole numbers that can be divided by 2 exactly (no remainder). Example: 2, 4, 6, 8, 10, … - Odd numbers are whole numbers that cannot be divided by 2 exactly (has remainder). Example: 1, 3, 5, 7, 9, 11, … - ‘0’ is neither an add number nor an even number Determine whether these numbers are even numbers or odd numbers 1. 214 214 ÷ 2 = 107 therefore 214 is an even number 2. 735 735 ÷ 2 = 367 remainder 1 therefore 735 is an odd number 3. 2 579 2 579 ÷ 2 = 1 289 remainder 1 therefore 2 579 is an odd number 4. 5 550 5 550 ÷ 2 = 2 775



2.3 Prime Numbers
- Prime number is a whole number that can only be divided by itself and number 1 - The number 1 is not a prime number because it can only be divided by itself - All the prime numbers are odd numbers except for 2 - Example : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, … Determine whether this number is a prime number or not 1. 31 31 ÷ 1 = 31 31÷ 31 = 1 31 can only be divided by 1 and itself. 31 is a prime number 2. 65 65 ÷ 1 = 65 65 ÷ 65 = 1 65 ÷ 5 = 13 65 can be divided by 1, itself and also 5. 65 is not a prime number 3. 71 71 ÷ 1 = 71 71÷ 71 = 1 71 can only be divided by 1 and itself. 71 is a prime number 4. 93 93 ÷ 1 = 93 93 ÷ 93 = 1 93 ÷ 3 = 31 93 can be divided by 1, itself and 3. 93 is not a prime number


Sieve Of Erastosthenes - A method of finding prime numbers between 1 to 100 (25 numbers) Step 1: list down all whole numbers between 1 to 100

  Whole numbers photo

Step 2: Cross out 1, because 1 is not a prime number. Step 3: Circle 2 and cross out all numbers that can divided by 2. Step 4: Circle 3 and cross out all numbers that can divided by 3. Step 5: Circle 5 and cross out all numbers that can divided by 5. Step 6: Circle 7 and cross out all numbers that can divided by 7. Step 7: Circle all remaining numbers and list down. The remaining numbers are the prime numbers between 1 to 100. Answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

2.4 Factors
- A factor of a given number is the number that can divide the given number exactly without any remainder. - The number 1 is a factor of all numbers. - Every number is a factor of itself - A whole number may have more than 2 factors. List all the factors of these numbers 1. 6 1 x 6 factors of 6 = 1, 2, 3, 6 2 x 3 2. 18 1 x 18 factors of 6 = 1, 2, 3, 6, 9, 18 2 x 9 3 x 6 3. 45 1 x 45 factors of 6 = 1, 3, 5, 9, 15, 45 3 x 15 5 x 9 4. 88 1 x 88 factors of 6 = 1, 2, 4, 8, 11, 22, 44, 88 2 x 44 4 x 22 8 x 11 Determine whether 1. 9 is a factor of 54 54 ÷ 9 = 6 (exact division, no remainder) Therefore 9 is a factor of 54 2. 7 is a factor of 48 48 ÷ 7 = 6 remainder 6 (not exact division) Therefore 7 is not a factor of 48


2.5 Prime Factors
- Prime factors of a given number are factors which are also prime numbers. - Example: Factors of 6: 1, 2, 3, 6 Prime numbers: 2 and 3 Prime factors of 6: 2 and 3 List all the prime factors of these numbers. 1. 24 Method 1 : List the factors Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24 Prime Factors : 2 and 3


Method 2 : Continuous Division




Determine whether
1. 2 is a prime factor of 18 18 ÷ 2 = 9 (exact division, no remainder) Therefore 2 is a prime factor of 18 2. 7 is a factor of 46 46 ÷ 7 = 6 remainder 4 (not exact division) Therefore 7 is not a prime factor of 46 3. 4 is a factor of 200 200 ÷ 4 = 50 (exact division, no remainder) 4 is a factor of 200 but 4 is not a prime number Therefore 4 is not a prime factor of 200


.6 Common Factors & Highest Common Factors (HCF)

Common Factors - Common factor is a number that is a factor of two or more numbers. - 1 is a common factor of all numbers. Find all the common factors of these numbers. 1. 8 and 12 Factors of 8 : 1, 2, 4, 8 Factors of 12 : 1, 2, 3, 4, 6, 12 Common factors of 8 and 12 : 1, 2, 4 2. 6, 12 and 18 Factors of 6 : 1, 2, 3, 6 Factors of 12 : 1, 2, 3, 4, 6, 12 Factors of 18 : 1, 2, 3, 6, 9, 18 Common factors of 6, 12 and 18: 1, 2, 3, 6 3. 27, 36 and 81 Factors of 27 : 1, 3, 9, 27 Factors of 36 : 1, 2, 3, 4, 6, 9, 12, 18, 36 Factors of 81 : 1, 3, 9, 27, 81 4. Common factors of 27, 36 and 81: 1, 3, 9 Determine whether 1. 6 is a common factor of 12, 18 and 24 12 ÷ 6 = 2 (exact division, no remainder) 18 ÷ 6 = 3 (exact division, no remainder) 24 ÷ 6 = 4 (exact division, no remainder) Therefore 6 is a common factor of 12, 18 and 24 2. 9 is a common factor of 63 and 120 63 ÷ 9 = 7 (exact division, no remainder) 120 ÷ 9 = 13 remainder 3 (not exact division) Therefore 9 is a not common factor of 63 and 120
Highest Common Factors ( HCF )
-
HCF of two or more numbers is the largest common factor of these numbers.




2.7 Multiples
- The multiples of a number is the product of that number with any whole number except
zero.
- Multiples are also a sequence.

List the first five multiples of these numbers.
1. 3
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
The first five multiples of 3 are 3, 6, 9, 12 and 15

2. 9
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
The first five multiples of 3 are 9, 18, 27, and 45


List all the multiples of these numbers.
1. Multiples of 2 between 13 to 27
14, 16, 18, 20, 22, 24, 26

2. Multiples of 5 from 50 to 70
50, 55, 60, 65, 70

Determine whether
1. 48 is a multiple of 4
48 ÷ 4 = 12 (exact division, no remainder)
Therefore 48 is a multiple of 4

2. 26 is a multiple of 3
26 ÷ 3 = 3 remainder 2 (not an exact division, has remainder)
Therefore 26 is not a multiple of 3


2.6 Common Multiples & Lowest Common Multiples (LCM)

Common Multiples
- Common multiple is a number that is a multiple of two or more numbers.
- Example 8 is a common multiple of 2 and 4
Multiple of 2 : 2, 4, 6, 8, 10, 12 ,… ( 8 is multiple of 2 )
Multiple of 4 : 4, 8, 12, 16, 20, … ( 8 is multiple of 4 )
Therefore 8 is a common multiple of 2 and 4

Find the first three common multiples of these numbers.
1. 2 and 3
Multiple of 2 : 2, 4, 6, 8, 10, 12 , 14, 16, 18, 20, …
Multiple of 3 : 3, 6, 9, 12, 15, 18, 21, 24, …
Therefore the first three common multiples of 2 and 3 are 6, 12, and 18


2. 3, 4 and 6
Multiple of 3 : 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36,..
Multiple of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36, ..
Multiple of 6 : 6, 12, 18, 24, 30, 36, ..
Therefore the first three common multiples of 3, 4 and 6 are 12, 24 and 36

Determine whether
1. 50 is a common multiple of 2 and 5
50 ÷ 2 = 25 (exact division, no remainder)
50 ÷ 5 = 10 (exact division, no remainder)
Therefore 50 is a common multiple of 2 and 5

2. 120 is a common multiple of 3, 4 and 9
120 ÷3 = 40 (exact division, no remainder)
120 ÷4 =30 (exact division, no remainder)
120 ÷ 9 = 13 remainder 3 (not exact division)
Therefore 120 is not a common multiple of 3, 4 and 9
\

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Lowest Common Multiples ( LCM )
- LCM of two or more numbers is the smallest common multiple of these numbers.

Find the LCM of the followings.
1. 6 and 36
Method 1 : Listing the multiples
Multiple of 6 : 6, 12, 18, 24, 30, 36, .
Multiple of 9 : 9, 18, 27, 36, …
The LCM of 6 and 9 is 18

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8/30/09

Mathematics problems sheet

Mathematics problems sheet

SEKOLAH MENENGAH KEBANGSAAN BANDAR BINTULU PEPERIKSAAN PENGGAL PERTAMA (PP1) / 2008 MATEMATIK TINGKATAN 1 MASA : 1 JAM 15




Name: ……………………………………………. Class: ………………….

This paper consists of 40 questions. Answer all the questions. Each question is followed by four options A, B, C and D. For each question, choose the most appropriate answer and blacken your answer on objective answer sheet. You are not allowed to use calculator for this examination.



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1. The number 513 579 is written as 514 000 when it is rounded off to the nearest
A. ten
B. hundred
C. thousand
D. ten thousand

2. Which of the following is equal to 4 558?
A. 4 000 + 550 + 8
B. 4 000 + 500 + 8
C. 4 500 + 550 + 8
D. 4 550 + 500 + 8




3. The diagram above shows a group of numbers. Find the difference between the largest and the smallest numbers.
A. 18
B. 90
C. 99
D. 189




4. When the number 508 and 79 are subtracted from 6 013, we get
A. 5 246
B. 5 426
C. 5 546
D. 6 442



5. [ 754 – ( 345 – 167 ) × 3 ] ÷ 11
A. 175
B. 117
C. 108
D. 20'

6. Norman bought 15 boxes of apples. Each box contains 32 apples. If all of the apples are to be distributed equally among 24 children in an orphanage, how many apples will each child get?
A. 10
B. 16
C. 20
D. 30


7. A factory produces 1 560 pairs of shoes per day. In a particular week, 278 pairs were spoilt. If the factory operates every day, how many pairs of shoes produced in that week were not spoilt?
A. 8 974
B. 10 642
C. 10 880
D. 12 866
'


8. Mrs. Ramani has 80 pencils, 28 erasers and 60 rulers. She wants to prepare some gift packs; each pack containing 5 pencils, 2 erasers and 4 rulers. Find the maximum number of gift packs that she can prepare.
A. 14
B. 15
C. 16
D. 17


9. In the number sequence, 2, 5, 11, x, 32, 47, …, the value of x is
A. 15
B. 18
C. 20
D. 24



10. 11, 13, m, 19, n are prime numbers arranged in ascending order. The value of m + n is
A. 36
B. 38
C. 40
D. 46

11. x is a common multiple of 3 and 39. Which of the following is not x ?
A. 78
B. 117
C. 156
D. 189

12. Find all the prime factors of 102.
A. 2, 3 and 7
B. 2, 3 and 11
C. 2, 3 and 17
D. 3, 7 and 11

13. The lowest common multiple (LCM) of 4, 6 and x is 36. The possible value of x is
A. 18
B. 24
C. 48
D. 56
14. The lowest common multiple (LCM) of which number set below is not 12 ?
A. 4, 6, 8
B. 3, 4, 6
C. 2, 3, 4
D. 3, 4

15. Find the highest common factor (HCF) of 16, 24 and 40.
A. 6
B. 8
C. 12
D. 16
16. Given that ( m–3 ) is the highest common factor (HCF) of 32 and 40, find the value of m.
A. 5
B. 8
C. 11
D. 163








22. Given that 4/7 of the students in a class are girls, find the total number of students if 15 of them are boys.
A. 19
B. 20
C. 35
D. 40
23. Farah is given RM320 by her father. 1/8 and of the money are used to buy pens and books respectively. How much money has Farah left?
A. RM 40
B. RM 128
C. RM 152
D. RM 160




25. Round off 8.0392 to 2 decimal places.
A. 8.03
B. 8.04
C. 8.05
D. 8.10





26. The diagram above shows number cards. On which of the above number cards does digit 3 have the same value?
A. P and Q
B. P and S
C. Q and R
D. Q and S
27. The value of 20.05 + 2.005 rounded off to 1 decimal place is
A. 22.0
B. 22.06
C. 22.1
D. 22.10

28. Which of the following decimals are in descending order?
A. 0.007, 0.017, 0.7, 1.07, 1.70
B. 1.70, 1.07, 0.7, 0.017, 0.007
C. 1.07, 1.70, 0.7, 0.007, 0.017
D. 1.70, 0.7, 0.017, 0.007, 1.07

29. Which of the following is not true?
A. 3.092 × 100 = 309.2
B. 0.2 × 0.4 = 0.8
C. 7.59 × 10 = 75.9
D. 0.5 × 20 = 10

30. If 4.5 kg of oranges cost RM 12.60, calculate the price of 3.2 kg of oranges.
A. RM 6.00
B. RM 8.96
C. RM 13.90
D. RM 20.30
31. The product of three numbers is 11.88 . If two of the numbers are 3.3 and 2, what is the third number?
A. 1.8
B. 2.4
C. 2.6
D. 3.1


32. Aida, Siew May and Betty donated RM164.45 to a charity fund. If Siew May and Betty donated the same amount and Aida donated RM5.75 more than Betty, what was the amount donated by Aida?
A. RM 52.90
B. RM 58.65
C. RM 79.35
D. RM 85.10

33. Convert into percentage.
A. 45%
B. 60%
C. 75%
D. 80%
34. 38% of 250 is
A. 85
B. 93
C. 95
D. 155

35. If p × 8 = 0.12, what is the value of p?
A. 1.5%
B. 2.0%
C. 2.5%
D. 3.0%

36. 90 out of 225 in percentage is
A. 15%
B. 20%
C. 25%
D. 40%
37. Mamat’s monthly salary is RM 2400. He spends RM 1824 each month and saves the balance of the salary in the bank. What percentage of his salary is saved?
A. 24%
B. 25%
C. 26%
D. 27%


38. A total of 200 pupils visited a public library on a certain Friday. 40% of them were girls. The number of boys who visited the library increased by 50% the next day. Calculate the total number of boys who visited the library on the two days, Friday and Saturday?
A. 60
B. 80
C. 180
D. 300
39. The price of a school bag is RM 95. Find the price of the school bag after a 20% discount.
A. RM 19
B. RM 66
C. RM 76
D. RM 114












40. Table above shows the number of foreign workers employed by a factory in 3 years. Which of the following statements is false?
A. 80% of the workers in year 2001 are
foreign workers.
B. 28 % of the workers in year 2002 and
2003 are not foreign workers.
C. The percentage of foreign workers in years 2002 and 2003 is the same.
D. Year 2001 has the lowest percentage of
foreign workers.







Answer scheme sheet






8/22/09

Math Test

In Math test



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SECOND PROGRESSIVE TEST (UK 2) / 2009
MATHEMATICS
FORM 1
TIME : 1 HOUR
PREPARED BY : CIK HJH NOR HAZRINA HJ HADZELAN


AME : _________________________________ FORM : ____________

SECTION A ( 40 Marks )
This section contains 20 objective questions. Answer all questions. Each question is followed by four answer choices A, B, C and D. Choose one answer only. Write your answers in space provided. Calculator is not allowed.


1. The place value of digit 1 in the number 513 029 is
A. Hundreds
B. Thousands
C. Ten thousands
D. Hundred thousands

2. Among the following numbers, which becomes 632 000 when rounded off to the nearest thousand?
A. 631 099
B. 631 201
C. 631 487
D. 631 500


3. The diagram above shows a group of numbers. Find he difference between the largest and the smallest number.
A. 199
B. 450
C. 504
D. 549

4. The remainder of 7 739 18
A. 17
B. 19
C. 349
D. 429



5 7 6
8 9
5 1 8 4
+
____________
5 1 2 6 4

5. The calculation above shows the multiplication of 576 and 89. What is the number in the box?
A. 4 068
B. 4 568
C. 4 608
D. 4 768

6. Saiful bought 24 boxes of pens and each box contains 96 pens. He sold the pens at RM 3 each. Calculate the amount of money he got from selling all the pens.
A. RM 2 304
B. RM 5 550
C. RM 6 912
D. RM 7 300

7. 48 + 15 60 12 =
A. 63 5
B. 48 + 75
C. 25 + 15 5
D. 4 + 15 60



8. 192 3 ( 6 + 2 )
A. 8
B. 48
C. 386
D. 512

9. Ling has 49 marbles, which are 19 less than Muthu but 13 more than Nazrul. To start a game, all marbles from three players are collected and divided equally among them. The number of marbles each player will have is
A. 39
B. 43
C. 51
D. 57

10. A school buys 310 boxes of pencils. There are 18 pencils in each box. After giving every student 4 pencils each, there are 180 pencils left. The number of students in the school is
A. 1 350
B. 1 440
C. 5 440
D. 5 760

11. 109, 89, 76, x , 50, ...
The value of x in the number sequence
above is
A. 60
B. 63
C. 65
D. 79

12. 1, 2, 5, p, 17, 26, q, ...
The list of numbers above is a number sequence. The value of p + q is
A. 35
B. 42
C. 44
D. 47

13. m, 37, 41, 43, n, ...
The list of numbers above is a sequence of prime numbers in ascending order. The value of n - m is
A. 10
B. 12
C. 14
D. 16




14. Given that 8 and 9 are the factors of Y. What is the possible value of Y?
A. 63
B. 96
C. 126
D. 144

15. Given that 2 and 3 are the prime factors of 132. The other prime factor of 132 is
A. 11
B. 9
C. 7
D. 5

16. Which of the following numbers is the lowest common multiple (LCM) of 6, 8 and 12?
A. 12
B. 24
C. 48
D. 72

17. 112 is the common multiple of 8 and x. Among the following, which is not a value of x ?
A. 14
B. 18
C. 28
D. 56

18. The total number of common factors of 12, 18 and 48 is
A. 1
B. 3
C. 4
D. 6

19. Which of the following pairs of numbers has 6 as the highest common factor (HCF)?
A. 12 and 36
B. 18 and 24
C. 18 and 36
D. 42 and 84

20. Given that ( x – 7 ) is the highest common factor of 24 and 32. Find the value of x.
A. 4
B. 8
C. 11
D. 15



SECTION B ( 60 Marks )
This section contains 10 subjective questions. Answer all questions. Write your answers in space provided. All the workings must be shown. Calculator is not allowed.



1. a) Write 2 950 611 in words.


(2 marks)

1. b) State the place value and the value of digit
9 in 390 451

Place Value:


Value of digit :


(4 marks)




2. Round off 796 145 to the nearest
a) thousands


(2 marks)
b) ten thousands



(2 marks)
c) hundred thousands




. Calculate the followings

a) 26 705 + 57 + 6 998 =







(3 marks)
b) 96 24 =







(3 marks)






(2 marks)





4. Calculate the followings

a) 54 + 1 575 25 =







(3 marks)
b) 110 – 3 ( 16 + 24 4 ) =







(3 marks)







The method above is used to find the Lowest
Common Multiples (LCM) of 54 and n .
Find the value of n  m





6. Find the sum of Highest Common Factor (HCF)
of 12 and 18 and Highest Common Factor (HCF)
of 12 and 24.



7. a) Find the value of
Give your answer correct to 2 decimal places.

7. b) + 13 ´ 1.25



8. a) Write 32 % as a fraction in its lowest term.


9. a) Find the number if 4.5 % of a number is 27.
9. b) Find the final value of 900 increased by 5%

10. Susan has 30 metres of fabric. She used 18.4
metres of the fabric and sells the remainder to
Mimi for RM 3.50 per metre. How much does
Mimi has to pay to Susan?

11. Lee bought a bicycle for RM 400. Later he

sold the bicycle to Rama for a profit of RM 70.

Find the percentage of profit.


12. a) Arrange the following in decreasing order.
مربع نص: -7  ,  4  ,   -11  ,  16  ,  -2


-7 , 4 , -11 , 16 , -2

12. b) Figure below shows a number sequence.
Determine the value of m + n .


20 , m , -10 , -5 , 0 , n , 10



14. The temperature of a town in the morning is
3C. During the afternoon the temperature
increases 11C and later at night it drops 25C.
What is the temperature during the night?


15. a) Mr. f drives a distance of k km from
City p to City q in just 30 minutes.
State the unknown.


15. b) Pick out the like terms in the following.

10 p , -14 r , 9.3 y , r , -8 u



16. a) 10 h + 2 - 16 - 6 h



17. Julie buys a story book which costs RM y. She
pays with a RM 50 note. Write an algebraic
expression to shows the balance of money she
will receive



19. a) A journey from Bintulu to Kuching takes
5 hours. A bus departs from Bintulu at
10.30 a.m. State the time in the 24-hour
system that the bus arrives at Kuching.









19 b) The weight of 1 packet of sugar is 495 g.
If Komala buys 8 packets of sugar, what is the
total weight of sugar, in kg , Komala bought?



20. Figure below shows the various routes a traveller can takes to go from town A to town D.
Calculate the difference between the longest route and the shortest route to go from town A to town D.



1. a) Write 2 750 438 in words. b) State the place value and the value of
digit 9 in 597 143





(2 marks) (4 marks)


2. Round off 818 795 to the nearest
a) ten. b) thousand. c) hundred thousand.



(2 marks) (2 marks) (2 marks)
3. a) Find the sum of 207, 4 659 and 13 022. b) Find the difference between 97 501 and 899.







(3 marks) (3 marks)
4. Table below shows the number of visitors who visited Zoo Negara from March to June
in a particular year.
Month March April May June
Number of visitors 4 079 3 788 2 413 3 990

a) Calculate the total number of visitors from b) Round off the total number of visitors to the
March to June. nearest hundred.








(4 marks) (2 marks)
5. Calculate the followings.
a) 592 8 b) 405 16 c) 11 172 12









(2 marks) (3 marks) (3 marks)
6. If 4 tailors can each sew 8 shirts in a day, how many shirts can they sew altogether in 3 weeks?







(4 marks)
7. Calculate the followings.
a) 45 + 135 5 - 16 b) 114 3 + 7 12 c) 95 – 2 ( 12 + 42 7 )










(3 marks) (3 marks) (3 marks)
8. Siew Lan had RM 107. She bought a story book for RM 14 . She also bought eight boxes of
colour pencils which is cost RM 6 each. Find the balance of her money.








(3 marks)
9. a) Complete the following number sequence.

5, 11, 17, ______, ______, ______, 41
(3 marks)

b) In the number sequence below, find the value of x + y

1, 2, 4, x , 16, y



(3 marks)
10. a) List out all the odd numbers between 44 and 52.

(2 marks)
b) Find the sum of all the even numbers that are less than 9.


(2 marks)
a) List out the first two prime numbers that are greater than 90.


(2 marks)







SECTION B ( 60 Marks )
This section contains 10 subjective questions. Answer all questions. Write your answers in space provided. All the workings must be shown. Calculator is not allowed.

1. a) Write 2 750 438 in words. b) State the place value and the value of
digit 9 in 597 143
two million seven hundred and fifty thousand
four hundred and thirty-eight place value : ten thousands
value of digit : 90 000


(2 marks) (4 marks)
2. Round off 818 795 to the nearest
a) ten. b) thousand. c) hundred thousand.

818 800 819 000 800 000

(2 marks) (2 marks) (2 marks)
3. a) Find the sum of 207, 4 659 and 13 022. b) Find the difference between 97 501 and 899.

207 + 4 659 + 13022 97 501 - 899
= 17 888 = 96 602




(3 marks) (3 marks)
4. Table below shows the number of visitors who visited Zoo Negara from March to June
in a particular year.
Month March April May June
Number of visitors 4 079 3 788 2 413 3 990

a) Calculate the total number of visitors from b) Round off the total number of visitors to the
March to June. nearest hundred.

4 079 + 3 788 + 2 413 + 3 990 14 300 visitors
= 14 270 visitors





(4 marks) (2 marks)
5. Calculate the followings.
a) 592 8 b) 405 16 c) 11 172 12









(2 marks) (3 marks) (3 marks)
6. If 4 tailors can each sew 8 shirts in a day, how many shirts can they sew altogether in 3 weeks?


4 8 7 3 = 672 shirts




(4 marks)
7. Calculate the followings.
a) 45 + 135 5 - 16 b) 114 3 + 7 12 c) 95 – 2 ( 12 + 42 7 )


45 + 27 – 16 38 + 7 X 12 95 – 2 ( 12 + 6 )
= 72 – 16 = 38 + 84 = 95 - 2 ( 18 )
= 56 = 122 = 95 - 36
= 59




(3 marks) (3 marks) (3 marks)
8. Siew Lan had RM 107. She bought a story book for RM 14 . She also bought eight boxes of
colour pencils which is cost RM 6 each. Find the balance of her money.


RM 107 – RM 14 – ( RM 6 8 )
= RM 107 – RM 14 – RM 48
= RM 45



(3 marks)
9. a) Complete the following number sequence.

5, 11, 17, __23____, __29____, ___35___, 41 ( pattern : +6 )
(3 marks)

b) In the number sequence below, find the value of x + y

1, 2, 4, x , 16, y ( pattern : 2 )

x = 8, y = 32 x + y = 8 + 32 = 40

(3 marks)
10. a) List out all the odd numbers between 44 and 52.
45, 47, 49, 51
(2 marks)
b) Find the sum of all the even numbers that are less than 9.
2 + 4 + 6 + 8 = 20

(2 marks)
a) List out the first two prime numbers that are greater than 90.
97 and 101

(2 marks)