Revision Question for Function

Coordinate Geometry

Lesson Plan for Coordinate Geometry Add Maths Form 4

1. Find distance between two points
1.1 Find the distance between two points using formula.


2. Understand the concept of division of a line segments .
2.1 Find the midpoint of two given points.
2.2 Find the coordinates of a point that divides a line according to a given ratio m : n.

3.0 Find areas of polygons.
3.1 Find the area of a triangle based on the area of specific geometrical shapes.
3.2 Find the area of a triangle by using formula.
3.3 Find the area of a quadrilateral using formula.

4. Understand and use the concept of equation of a straight line.
4.1 Determine the x-intercept and the y-intercept of a line.
4.2 Find the gradient of a straight line that passes through two points.
4.3 Find the gradient of a straight line using the x-intercept and y-intercept.
4.4 Find the equation of a straight line given:a) gradient and one point; b) two points; c) x-intercept and y-intercept.
4.5 Find the gradient and the intercepts of a straight line given the equation.
4.6 Change the equation of a straight line to the general form.
4.7 Find the point of intersection of two lines.

Question 1
Diagram 1 shows the graph of the function f(x)= 2x - !, for the domain 0 <= x <= 5.
State a) the value of t, b) the range of (fx) corresponding to the given domain. [3m]

Question 2
Given the functions g:x-> 5x + 2 and h : x – x2 –4x + 3, find g-1(6) b) hg(x) [ 4m]

Question 3
Given the funtions f(x) = x-1 and g(x) = kx +2, find a) f(5), b) the value of k such that gf(5) = 14 [ 3m]

SPM Add Math 2006

Question 1
In diagram 1, set B shows the images of certain elements of set A


a) State the type of relation between set A and set B
b) Using the functon notation, write a relation between set A and set B [2m]


Question 2
Diagram 2 shows the functon h : x--> ( m-x)/x, x != 0 , where m is a constant. Find the value of m [2m]

SPM Question Function 2005

Question 1

In diagram 1 the function h map x to y and the function g maps y to z
Determine a) h-1(5) b) gh(2) [2m]

Question 2
The function w is defined as w(x) = 5/(2-x) , x!= 2.
a) w-1 (x) b) w-1(4) [ 3m]

Question 3
The following iformation refers to the functions h and g
h:x --> 2x-3
g:x -->4x -1
Find gh-1(x)

SPM 2007

Question 9
a) Determine whether the following sequence is an arithmetic progression or a geometic progression. 16x, 8x, 4x, …
b) Give a reason for the answers in 9(a) [m]
Question 10
Three consective terms of an arithmetic are 5-x, 8, 2x. Find the common difference of the progression. [3m]
Question 11
The first three term of a geometric progression are 27, 18, 12. Find the sum to infinity of the geometric progression. [ 3m]

SPM Question 2008

Question 9
It is given that the first foru term of a geometric progression are 3, -6, 12 and x. Find the value of x [2m]

Question 10
The first 3 term of an arithermetic progression are 46, 43 and 40. The nth term of this progression is negative. Find the least value of n [3m]

Question 11
In a geometic progression, the first term is 4 and the common ratio is r. Given that the sum to infinity of this progress I 16, find the value of r [2m]

SPM Question 2006 Progression

Question 9
The 9 th term of an arithmetic progression is 4+5p and the sum of the first foru term of the progression is 7p -10, where p is a constant. Give that the common difference of the progression is 5, find the value of p

Question 10
The third term of a geometric progression is 16, the sum of the third and fourth term is 8. Find
a) The first term and the common ration of the progression
b) The sum to infinity of the progression.

SPM Question Progression 2005

Question 10
The first three terms of a sequence are 2, x, 8. Find the postive value of x so that the sequence is
a) An arithmetic progression
b) A geometric progression
Question 11
The first three terms of an arithmetic progression are 5, 9, 12. Find
a) The common difference of the progression
b) The sum of the first 20 terms after the 3rd term
Question 12
The sum of the first n term of the geometric progression 8, 24, 72 … is 8744. Find
a) The common ration of the progression
b) The value of n

Chapter 1 Function

SPM Question 2006 Paper 2

Given that f(x) = 3x-2 and g(x) = x/5 + 1 find
A) f-1 (x) [1m]
B) f-1g(x) [2m]
C) h(x) such that hg(x) = 2x+ 6 [3m]

Question normally appear in Paper 1 ( first 2 or 3 questions yearly)

Soalan SPM

1 a) Diagram below shows the structure of a unicellular organism which lives in a freshwater pond.

Explain the function of X in osmoregulation

2)

Figure shows the organelles involved during the synthesis and secretion of an enzyme in an animal cell
a) Name the organelles labelled P and R

b)i) State the function of organelle S
b) ii) Explain the role of organelle Q in the synthesis of the enzyme

Add Math Chapter 17 Revision Question

Add Math Chapter 4 Simultaneous Equation

Add Math Chapter 3 Revision

Add Math Chapter 2 Revision

Add Math Chapter 1 Function Revision

Adds Math Marks for Form 4

July Exam Result

Xavi = 100

Hema = 72

OC = 50

SatVilla = 38

Torres = 34

Kisha = 34

Nad = 28

Isha = 31

Inen = 25

Chamakh = 19

Mr Singgam = 16

Roy = 9

Chemistry Exam Form 4 July

1) The list of elements in Period 3 is given below
Sodium
Magnesium
Aluminium
Silicon
Posphorus
Sulphur
Chlorine
Argon

a) Given two physical changes of the element across the period . Explain our answers
i) Change The atomic radius decreases from left to right across the period
Reason Across the period, the numbe of proton increases b one unit from one element to next element but the filled electron shells remains as three. Hence the electrostatic forces between the nucluesu and valance electrons becomes stronger.
ii) Change Electronegatively increases from left to right
Reason Across the period, the electrostatic forces between the nuclues and valance electron become stronger. Hence the tendency to attract electron is higher

b)Name an element that is composed of diatomic molecules Chlorine
c) Name an element that is used in light bulbs Argon
d) Name an element that form an acidic oxide. Sulphur

e) i) Give a chemical property of the amphoteric oxides Amphoteric oxides can react with both acid and bases to form salt and water
ii) State an element that forms an amphoteric oxide Aluminium


2) The transition element are a block of metals in the middle of the Periodic Table. They have similar properties.
i) State 4 typical properties of the transition elements [4m]
The have high melting pints and high densities [1]
They have variable oxidation states in their compounds [1m]
They form coloured compounds. The solution of their compounds in water are always coloured [1m]
The elements and their compund are good catalyst [1m]

ii) By using suitable element, list threee industrial uses of transition metals [6m]
Iron – The manufacture of ammonia in Haber Proces
Nickel – The manufacture of margarine from vegetable iols
Vanadium (V) oxide - The manufacture of sulphuric acid in Contact Process
b) Explain the following statement
i) The reactivity of Group 1 increase down the group [5m]
-One valance electron
- The number of filled electron shells increases by one unit from one element to the next element
-Atomic radius increase down the group
-The electrostatic forces between the nucleus and valance electron become weaker
- It is easier for metal lower in the group to lose its valance electron in a chemical reaction
- Reactivity increase down the group

ii) The electronegativity of Group 17 decreases down the group [5m]
- Is a measurement of the tendency of an element to attract electron
- All element in Group 17 has have seven valence electrons. The number of filled electron shells increase by one unti from one lement to the next
- The atomic radius increases down the group.

4) a) Define the following terms [6m]
i) Diffusion is a random movement of particles from a region of high concentration to a low concentration [2m]
ii) Sublimation is a process where a substance changes from the solid to gaseous state without melting [2m]
iii) Melting is a process where solid change into liquids at a constant tempeature when it is heated [2m]
b) Carbon -12 and carbon 14 are isotopes
i) What do you understand about the word isotopes. [6m]
- Isotopes are atoms of the same elemetn with different numbers of nuetrons
- They have the same proton number but different nucleon numbers.
- There are two type of isotopes, radioactive and non radioactive [2m]
- Radioactive isotopes produce harmful radiation
ii) Give an exmaple of a pair of isotopes other than carbon [2m] Na 23 and Na 24
iii) Explain why carbon 12 and carbon 14 have the same chemical properties [1m]
They have the same number of electrons
iv) Give one use of carbon -14 [2m]
To determine age of organic material through a process called carbon dating. [2m]
v) After undergoing radioactive decay, a sample of 100g of cabon contain 80g of carbon 12 and 20g of carbon13. Calculate the relateive atomic mass of carbon in this sample.
= ( 80(12) + 20(14) ) /100
= 12.4 g

Chapter 5 Index

Add Math Probability Chapter 18

Q1 A number is choosen at random from the set {1, 2, 5, 7, 10,14}. Find the probability that the number is choosen is
a) larger than 5
b) an odd number
c) larger than 5 or an odd number

Q2 The letter of the word GROUPS are arranged in a row. Find the probability that an arrangement chosend at random
a) begins with the letter P
b) begins with the letter P and end with a vowel

Q3 Two event A dn B, are such that P(A) = 5/8, P(AUB) = 3/4 and P(ANB) = 1/8 Find the value of P(B).

Q4 Azman plays a game with each of the other 3 players, B, C and D. The probabilities of him losing to players B, C and D are 3/4, 2/5 and 1/3 respectively. Find the probability that Azman loses
a) in all three games
b) in at least 2 out of the three games

Q5 A number is chosen at random from the set {10,11,12,13,14,15,16,17} Calculate the probability
a) an even number or a multiple of 3 is chosen
b) an odd number or a primer number is chosen.


Pls finish before next class (11/07/2010)