MATHEMATICS FORM 3

Form 3 Chapter 1: Indices

TEACHER’S NAME: NAME: CLASS:

1.1 INDEX NOTATION

A. State the base and index of the following indices.

Number 25 0.76
Base
Index ______ ______
______ ______

B. State the following repeated multiplications in index form.

Match the following.

555555 (4)3

555 k7

 4  4  4 53
 4  4 (4)   4 k3

kkk (4)4
kkkkkkk 56

C. Calculate the value of the given index numbers.

1. 0.73 = __________________

2.   2 3  _________________(Write in fraction. Example -5/6)
3

1.2 LAW OF INDICES

DRAG THE SUITABLE ANWERS AND PUT THE ANSWERS IN THE SPACES PROVIDED.

x  3,2 14 m8 6w13 1 415

x  1, y   2 76 78 112 47 h3 4
3

1. Simplify 72  74 _______________

2. Simplify m4  m3  m _______________

3. Simplify 2w2  1 w3 15w8 _______________
5

4. Simplify 48  4 _______________

5. Simplify h8  h4  h _______________
6. Simplify _______________
43 5

7. Simplify  74 11 2 ________________
8. Simplify ________________
2

32 5

9. Find the value of x. 25 x 125  1 ________________
5x ________________

1

 10. Find the value of 3 343  31  36

11. Find the possible values of x for the equation of 2x2  2x  64

_________________

12. Solve the simultaneous equation of 9(9)x  27 y2 and 4x  8y  1 .

___________________

Form 3 Chapter 2: Standard Form

TEACHER’S NAME: NAME: Class:

2.1 SIGNIFICANT FIGURES

Instructions: Write answers in the spaces provided.
1. Round off 46 360 correct to 3 significant figures.

2. Round off 0.03493 correct to 2 significant figures.

3. Find the value of 43.2  0.6  7.36 correct to 3 significant figures

4. Find the value of 85 1.7  3.086 correct to 3 significant figures

2.2 STANDARD FORM

5. Write the number below in standard form. (Instructions: Choose 1 answer)

Numbers Standard Form

29 000 2.9 104 or 2.9 104
173 000 1.73 105 or 1.73 105
0.3075 3.075 101 or 3.075 101
0.000009 9.0 106 or 9.0 106

6. Wrrite the following as a single numbers.
(Instructions : Write the answers)

Nombor Bentuk piawai

9.5 104

3.62 103

1.83 102
7.046 104

7. Find the value of 5.2 103  4.8105 and give answers in standard form.
(Choose answer)

2.496 101 2.496 103

or

3.2 102
8. Find the value of 4 103 and give answers in standard form. (Choose answer)

8.0 105 or 8.0 104

9. Find the value of 9.6 104 18000 and give answers in standard form.

(Choose answer)

1.14 105 or 1.14 107

 10. Find the value of 0.9 104 2 and give answers in standard form. (Choose answer)

8.1 10 9 or 8.1108

11. Find the value of 104  4.4 105 and give answers in standard form.

(Choose answers)

5.6 106 or 5.6 105

6500
12. Find the value of 1.3 105 and give answers in standard form. (Choose answers)

5.0 102 or 5.0 103

13. Solve the following problems. Giveni 11  3.32 (3 s.f)
Find the value of the following correct to 3 significant figures.
(Write answers in the spaces provided)

(a) 539 (b) 1331

_______________________ _____________________

15.9  0.21
14. Calculate the value of 1.88  0.38 correct to 2 significant figures. (Choose 1 answer)

10 11 12 13

15. Find the value of 3105  27 103 in standard form. (Choose 1 answer)

8.4 106 6.9 105 7.2 105 9 104

16. Convert 36 cm to km and give answer in standard form. (Choose 1 answer)

3.6 104 km 4.2 103 km 5.1104 km 6.3103 km

Form 3 Chapter 3: Consumer Mathematics

TEACHER’S NAME: NAME: CLASS:

3.1 SAVINGS AND INVESTMENTS

1. Mark / for the correct statement and X for the incorrect statement .

a) Withdrawal of money from fixed deposit account before the date
of maturity can cause loss of interest earned.

b) Savings account is used to save money and make payment using
cheques but do not obtain interest.

c) Property investors place their money on assets like lands and
buildings with the hope to gain high returns.

2. Match each of the situations with the correct type of investments.

Miss Vivian bought 3 000 units of Real Estate
Gemilang Company shares
worth RM1.50 per unit at the
Kuala Lumpur Stock Exchange

Mr Arron uses his retirement Unit Trust
money to buy a terraced-house.
He plans to sell the house in the
future

Encik Ahmad received a Shares
dividend of 5 % of his invested
money for the financial year
ending 31st December 2021

3.1 SAVINGS AND INVESTMENTS I= Interest
P=Principal
NOTES : r= Interest Rate
FORMULA TO CALCULATE SIMPLE INTEREST t= Time in years

I = Prt ,

3. Encik Wong deposited RM 4 500 in a bank with an interest rate of 3 % per annum. How
much is the interest earned by Mr Wong after 2 years?

RM
_________________________ (Write numbers only. Example 510)

4. Encik Rosli deposited RM 8 000 in a bank for 3 years. Calculate the interest rate given by
the bank if he received a total interest of RM 960.

Interest Rate = %

_________________________________ (Write numbers only)

NOTA : MV= Matured value
P=Principal
RUMUS UNTUK MENGIRA COMPAUND r= The yearly interest rate
n= Number of periods the
INTEREST MV  P(1  r )nt interest is compounded per year
n t= Term in years

5. Cik Sofia deposited RM 12 000 in a savings account with an interest rate of 3 % per annum
and compounded once every 2 months. Find Cik Sofia’s total savings at the end of the
fourth year.

RM
_________________________ (in 2 decimal places)

6. Calculate the dividend obtained by En Ali on each thr following investments.

Share price per Number of units Dividend Rate Dividend(RM)
unit
5 000 4% (Write numbers only)
RM 1.20 8 000 6%

RM 1.50

7. Match each type of investment with the correct statement.

Type of investment Statement
Real Estate
Risk free, low return level
and high liquidity level

Shares Low risk level, moderate
return level and high
liquidity level

Fixed Deposits Low risk level, high return
Unit Trust level and low liquidity
level

Low risk level, high return
level and moderate
liquidity level

3.2 CREDIT AND DEBT MANAGEMENT

8. Puan Ezzati bought a refrigerator costing RM1 980 using credit card in August. She forgot
to make repayment and the statement date was 15 days fro the due date of interest free
period. The bank charged a finance charge of 18 % per annum and late payment charge
1 % of the outstanding balance or minimum RM 10. Assume that Pn Ezzati did not use
credit card before and after purchasing the refrigerator. Calculate the total balance in
September statement for Puan Ezzati

RM
_________________________ (in 2 decimal places)

NOTES : A = Total repayment
FORMULA TO CALCULATE TOTAL AMOUNT OF LOAN P=Principal
REPAYMENT r= Interest Rate
t= Time in years
A = P + Prt

9. Cik Amira obtained personal loan of RM30 000 from a bank with an interest rate of 6%
per annum. If the total loan repayment is RM42 600, find the loan period for Cik Amira.

t = years
_________________________ (Write numbers only)

10. Mr Jeffrey wants to renovate his house. He takes a personal loan of RM45 000 from a
bank with an interest rate of 5% per annum and the payback period is 6 years.

(a) What is the monthly instalment payable by Mr Jeffrey?

RM
_________________________ (in 2 decimal places)

(b) If Mr Jeffrey wants to reduce one year from the loan repayment period, calculate the
amount of money needs to be added to the existing instalment.

RM
_________________________

Form 3 Chapter 4: Scale Drawings

TEACHER’S NAME: NAME: CLASS:

4.1 SCLAE DRAWINGS
Write answers in the spaces provided.
1. Mark / for the correct statement and X for the incorrect statements.

(a) Polygon B is larger than polygon A. ()
(b) Polygon B has angles with the same measures as polygon A. ()
(c) Polygon B has the same number of sides as polygon A. ()
(d) Polygon B has the same perimeter as polygon A. ()
(c) Polygon B has the same number of angles as polygon A. ()

2. Based on the diagram, complete the following.

(a) Angle x = (Write numbers only)

(b) Ratio of sides = (Write numbers only)

(c) Length of q = (Write numbers only)

3. A scale on drawing is 1 : 1 . Larger / Smaller
2
…………………………………………………………….
It means the scale drawing is
than the object. (Choose 1 answer)

4. A scale on drawing is 1cm :10km Larger / Smaller

It means the scale drawing is …………………………………………………………….

than the object. (Choose 1 answer)

5. Determine the scale of the following in the form of 1 : n.

Object Scale Drawing Scale (1 : n)

(Write the ratio.
Example 1 : 5)

(Write the ratio.
Example 1 : 5)

6. a) The actual distance between a library and a post office is 180 m. On a map, the
distance between the two buildings is 18 cm. Calculate the scale used.

_____________________________ (Write the ratio. Example 1 : 100)

b) The length of a swimming pool in a scale drawing is 5 cm. The actual length of the
swimming pool is 25 m. Calculate the scale used.

_____________________________ (Write the ratio. Example 1 : 100)

7. Calculate the actual length. Scale Actual Length
Measurement of scale drawing

1: 1 …………………. cm
5
(Write number only)
1: 40
…………………. cm

(Write number only)

8. On the plan of a room drawn using a scale of 1 : 150, the length of the room is 6 cm.
Calculate the actual length , in m , of the room.

m
_____________________________ (Write number only)

9. A map is drawn to a scale of 1 cm to 15 km. Calculate the actual distance , in km ,
between two towns if the distance on the map is 4 cm.
km
_____________________________ (Write number only)

10. Determine the measurement of the scale drawings.

Measurement of the object Scale Length of the scale
drawing
1: 6
…………………. cm

(Write number only)

1: 1 …………………. mm
5
(T Write number only)

Form 3 Chapter 5: Trigonometric Ratios

TECAHER’ S NAME: NAME: CLASS:

5.1 SINE, COSINE AND TANGENT OF ACUTE ANGLE IN RIGHT-ANGLED TRIANGLES

1. For each of the following right-angled triangles, identify the hypotenuse, the opposite

side and the adjacent side .

(Write the answers based on letters in diagram )

Triangle Hypotenuse Opposite side Adjacent side

2. Determine sin  , kos  , and tan  for the following diagram.

(Write answers based on letters in the diagram in ascending alphabets. Example BC/AC)

Diagram sin  kos  tan 

3. Find the value of sin  in the diagram below.

Answer:
sin  = ……………………………..

(Write answers in fraction . Example 5/13 )

4. Find the value of y for the right-angled triangle below.
Given sin  = 0.35.

Answer:
y = …………………………….. cm

(Write answer in 1 decimal places)

5. Find the value of y for the right-angled triangle below
Given kos  = 0.8
Answer:
y = …………………………….. cm

(Write answer in 1 decimal places)

6. Find the value of y for the right-angled triangle below
Given tan  = 1.4

Answer:
y = …………………………….. cm

(Write answer in 1 decimal place)

7. Find the value of 3 tan 450  4sin 300 .

……………………………………………………

8. Find the value 3tan 450  2sin 300 .
kos600

……………………………………………..

9. In the diagram below, QRS is a straight lines. Given QR = RS and cos x = 5 .

13

Find the value of y.

0

……………………………………………..

(Write in 2 decimal places)

10. In the diagram below, QRS is a staright lines. Given PRT = 25 cm and sin x = 3 .

5

Find tan x.

……………………………………………….

(Write the value of tan x in 2 decimal places)

Form 3 Chapter 6: Angles and
Tangents of Circles

NAMA GURU: NAME: CLASS:

6.1 ANGLE AT THE CIRCUMFERENCE AND CENTRAL ANGLE SUBTENDED BY AN ARC.
1. Drag the choices of answers and put in the spaces provided.

O is the centre of the circle. Find the values of x and y. 350
Value of x =

Value of y = 84 0

Value of x = 40 0

Value of y = 480
Value of x = 80 0
Value of y = 70 0

2. O is the centre of the circle. Find the value of x. (Choose 1 answer)

500 480 620 400

3. O is the centre of the circle. Find the value of x. (Choose 1 answer)

550 650 600 500

4. Drag the choices of answers and put in the spaces provided.

110 0 500 550 20 0

In the diagram, O is the centre of the circle Value of XZY =
which passes through X, Y and Z . Given
XOY  400 and XZ is parallel to YO.

Value of ZYX =

In the diagram, O is the centre of the circle Value of x =
which passes through points A, B and C. Given Value of y =

the reflex angle AOC is 2200 . Find the values

of x and y.

6.2 CYCLIC QUADRILATERALS. 85 0
5. Drag the choices of answers and put in the spaces provided. 100 0
750
Find the values of x and y in the diagram below. 60 0
Value of x = 650
Value of y = 250

Value of x =
Value of y =

Value of x =
Value of y =

6. In the diagram, RST is a straight line. x  250 y  550
Given RQ = RS, find the values of x and y.
x  700 y  1000

x  750 y  850

7. In the diagram, UOS is the diameter of a circle with centre O. PQR is a staright line.

Find the value of x.

680 710 780 950 1100 870

6.3 TANGENTS TO CIRCLES.
8. OT is the radius of the circle and PQ is the tangent.

Find the value of x.

300 320 380 450 500 57 0

9. TA dan TB are two tangents to the circle with centre O

Find the value of x and y.

x  970 x  1050 x  112 0 y  12.54 y  11.86 y  14.10

Form 3 Chapter 7: Plans and Elevation

TEACHER’S NAME: NAME: CLASS:

7.1 ORTHOGONAL PROJECTIONS
1. Match the orthogonal projection as viewed from the direction shown.

2. Match the orthogonal projection as viewed from the direction shown.

7.2 PLANS AD ELEVATIONS
3. Draw to full scale (i) the plan of the solid, (ii) its front elevation as viwed from X,

(iii) its side elevation as viwed from Y.
Match the following.
a)

b)

c)
d)

Form 3 Chapter 8: Loci in two
Dimensions

TEACHER’S NAME: NAME: CLASS:

8.1 LOCUS
1. State the locus of point P of each of the following.

Drag the choices of answers and put in the spaces provided

An Arc A circle An inclined straight line

A vertical straight line A horizontal straight line

8.2 LOCI IN TWO DIMENSIONS The angle bisector of QPR

2. Match the following. The perpendicular bisector of the
straight line PQ
The locus of a point that is
equidistance from two fixed points,

P and Q

The locus of a point with a constant
distance from a straight line PQ

The locus of a point that is equidistant Two parallel lines that are equidistant
from two intersecting lines from the straight line PQ

The locus of a point with a constant A line that is parallel and equidistant
distance from a fixed point P from two parallel lines, PQ and RS

The locus of a point that is equidistant A circle wih centre P
from two parallel lines, PQ and RS

3. Determine the locus of the point which satisfy the given condition.
A point Q moves such that it is always equidistant from two intersecting lines.

Answer : The bisector of the angle

TRUE or FALSE

4. Match the following locus of point X.

A point X which moves such
that it is always 3 cm from

point P.

KL is a straight line. X is a point
which moves such that it is
always 2 cm from point L.

PQR is an isosceles triangle with
PQ = PR.
X is a point which moves in the
triangle such that XP = PS.

ABCD is a square drawn on a
grid of equal squares with sides
of 1 unit. X is a point which
moves in the square such that
it is always 6 units from point
C.

5. Match the following locus of point Y.

A point Y which moves such
that it is always equidistant
from point P and point Q.

EFG is a triangle. Y is a point
which moves such that it is
always equidistant from the
point F and point G.

PQRS is a rectangle. Y is a point
which moves in the rectangle
such that YR = YS

AEJH, EBFG, HJGD dan JFCG are
four squares. Y is a point which
moves in the squares such that
it is always equidistant from
point A and point C.

6. Match the following locus of point R.

A point R which moves such that
it is always equidistant from two
parallel lines, KL and MN.

A point R which moves such that
it is always equidistant from two
parallel lines, PQ and ST.

TUVW is a parallelogram drawn
on a grid of equal squares with
sides of 1unit. R is a point which
moves in the parallelogram such
that it is always equidistant from
line TW and line UV.

ABCD is a square. R is a point
which moves in the square such
that it is always equidistant from
line AD and line BC.

Form 3 Chapter 9: Straight Lines

TEACHER’ NAME: NAME: CLASS:

9.1 STRAIGHT LINES
NOTES

1. State the gradient, m , and y-intercept off the following equations.
Write the answers in numerical form and without spacing.

Straight line y  3x  4 Gradient, m = y-intercept =

Straight line y  x  5 Gradient, m = y –intercept =

Straight line y  3  6x Gradient m = y –intercept =

2. Complete the following table. y-intercept, c Equation of straight line
Write equation without spacing. 3

Gradient, m 1
4
2
3

0

Write the equation of the straight line below. (Write equation without spacing)
a)

Equation of straight line;

b)
Equation of straight line;

3. Express equation in the form of y = mx + c to find the value of m and c.

a) 4x  y  8 Write in the form y =mx + c Gradient, m =

y-intercept, c =

b) Write in the form y =mx + c Gradient, m =

x  y 1
26

y-intercept, c =

4. Determine whether point A(2 , 7) lie on the straight line y = 3x + 1.

YES NO

________________________________________

5. Point P(-2, k) lies on the line y = 3x + 2. Find the value of k.

k=
-------------------------------- (Write answers without spacing)

6. Point Q (h , 3) lies on the straight line y = -2 x +5. Find the value of h.

h=
___________________ (Write answer)

7. Determine whether staright line below is parallel or not.

y  2x and 2 y  4x  7

Gradient, m 1 = Gradient, m 2 =

Hence, both straight lines are PARALLEL / NOT PARALLEL
SELARI

8. Determine whether staright line below is parallel or not.

2x  y  9 and 2y  3  6x

Gradient, m 1 = Gradient, m 2 =

Hence, both straight lines are PARALLEL / NOT PARALLEL

9. Determine the equation which parallel with y  3x 1 and passing through point

(2 , -1)
Gadient, m =
Substitute in the equation y = mx + c .

=[ ][ ] +c
c=

So,the equation of straight line is ______________________
(Write equation without spacing)

10.Find the point of intersection between line 2x  y  3 and 3x  2 y  1.

(3 , 2) (1 , 1) (4 , 2) (1 , 5)

1
11. In the diagram below, AB parallel with PQ. Given the gradient of AB = 2 .

Find
a) the value of k

k=

-------------------------------- (Write numbers only)

b) equation of straight line PQ

_____________________ (write equation qithout equation. Example : y = 3/4x+5)

12. in the diagram below,equation of straight line y  mx intersect with line PQ at H.

Find
a) the value of m

m=

_______________________ (write numbers only)
b) Equation of straight line PQ

________________________ (write equation without spacing. Example : y=3/4x+5)