P425/2

APPLIED MATHEMATICS
𝑇𝑎𝑟𝑔𝑒𝑡 (400+ 𝐴′ 𝑠)
Paper 2
th
16 October 2024

Road To Uneb Excellence Practice Questions

SECTION A TYPE QUESTIONS (Maximum total 40 marks-Target 30)
MECHANICS
1. A body of weight 20𝑁 rests on a rough horizontal ground whose coefficient of friction
between the body and the ground is 𝜇. A force 𝑃 acting upwards, pulls the body at an angle
600 above the horizontal and is just sufficient to move the body. Show that:
40𝜇
𝑃=
𝜇 + √3
−2 7 𝑝 1
2. Forces of ( ) 𝑁, ( ) 𝑁, ( ) 𝑁 and ( ) 𝑁 are in equilibrium. Find the values of 𝑝 and 𝑞.
−3 4 2 −𝑞

3. The resultant of two forces 𝑌𝑁 and 3𝑁 acting at an angle 𝜃 to each other is 7𝑁. When
the 3𝑁 is reversed, the resultant becomes √19𝑁. Find the value of 𝑌 and 𝜃.

−4 5 −2 1
4. The forces ( ) N, ( ) N, ( ) N and ( ) N act on a lamina at points (1, 5)m, (2, −9)m,
−2 −1 −1 4
(2, −2)m and (7, 1)m respectively. Show that the forces reduce to a couple

5. The initial velocity of a particle moving with a constant acceleration is (3𝑖 − 5𝑗)𝑚𝑠 −1 . If
after 3 seconds the velocity of the particle is 25𝑚𝑠 −1 parallel to (3𝑖 + 4𝑗). Find the
acceleration of the particle.

6.Two particles A and B are moving a straight path. B is ahead of A by 14m, the speed of B
is 16𝑚𝑠 −1 and that of A is 25𝑚𝑠 −1 . Given that A and B have constant retardations of 6𝑚𝑠 −2
and 4𝑚𝑠 −2 . Find the two possible times of overtake.

7. A stone is projected vertically upwards from the ground, with a velocity of 49𝑚𝑠 −1 . Find
(i) Time to reach maximum height (ii) Maximum height attained by the stone

8. A car of mass 20 metric tonnes travel up a plane of inclination 1 in 50 against a constant

resistance of 0.1N per kilogram. Determine the;
(i) Tractive force required to produce an acceleration of 0.15𝑚𝑠 −2 .
(ii) Power developed by the car while at a speed of 36𝑘𝑚ℎ−1 .

9. Two trucks of mass 500kg and 400kg are travelling in the same direction at speed 2.4ms -1
and 1.05ms-1 respectively. If they collide and coalesce, find the loss in kinetic energy due
to the collision.

10. A uniform rod AB of mass m, which is smoothly hinged at A is maintained in equilibrium

by a horizontal force 𝑝 acting at B. Given that the rod is inclined at 30 0 to the horizontal
with B below A, find;
(i) an expression for 𝑝 (ii) the magnitude and direction of the reaction at the hinge.

11. A particle moving in a straight line covers 12m in 4seconds and 30m in the next 5 seconds
of its motion. Determine the
(i) acceleration. (ii) initial velocity.

12. A uniform beam AB of mass 8kg and length 4.8m rests horizontally with ends A and B
supported by forces P and Q respectively. Masses of 6 and 4kg are hang at distances 160cm
and 420cm from A. Calculate the reaction at each support.

©Math 2024 (Sculpturing 400+ A’s) 1

13. A particle, accelerating uniformly, moves with an average velocity of 8ms-1 for 4 seconds.
If it’s final velocity is 12ms-1. Calculate the;
(i) distance covered (ii) acceleration of the particle.

14.A particle is projected from a point O on a horizontal ground with a speed of 20ms -1 at an
4
elevation 𝑡𝑎𝑛−1 . Calculate the;
3
1
(i) time of flight, (ii) height risen in a of the time of flight.
3

15.
The 3 forces aside are in equilibrium, find the values of P and Q
3N

𝜃
4N
PN

16. A projected particle achieves the greatest range of 120m. Find the;
(i) speed of projection, (ii) greatest height attained.

→ → →
17.ABCD is a square of side 2a. Forces of magnitude 9N,5N and 3√2𝑁 act along 𝐴𝐵, 𝐵𝐶 , and 𝐵𝐷
respectively. Find the equation of the line of action of the resultant force.

18. A ball projected from level ground with a speed of 25√2𝑚𝑠 −1 at an elevation of 45 passes
just above the top of two vertical posts each of height 30m. Find the distance between these
posts.

19. A train is timed between successive stage A,B and C each 2km apart. If it takes 100s to
travel from A to B and 150s from B to C. Calculate the:
(i) Retardation and initial velocity
(ii) Distance beyond C the train travels.
20. A non-uniform rod AB of mass 20kg and length 4m is suspended horizontally from the ends
of the strings AC and BD of 600 and 450 respectively with the vertical. Calculate the;

(i) tension in the string BD

(ii) Distance from A where the weight of the rod acts.

21. A uniform rod 𝐴𝐵 3.5𝑚 long and weight 5𝑘𝑔 rests horizontally on two supports 𝐴 and 𝐵. A
load 24𝑁 is attached at a point 𝐶 such that 𝐴𝐶 = 1.5𝑚. Find the reactions at the supports A
and B. (Take 𝑔 = 10𝑚𝑠 −2 )

22. A horizontal force X is just sufficient to prevent a body of mass M from sliding down a
rough plane of inclination 𝜃. A horizontal force 4𝑥 applied to the same mass on the same rough
plane, causes the mass to be on the a point of moving up the plane, show that

5μtan²θ − 3(μ² + 1) tanθ + 5μ = 0

SECTION B TYPE QUESTIONS

©Math 2024 (Sculpturing 400+ A’s) 2

1. A bullet is fired from a point O which is at the top of a hill 50𝑚 above the ground.
The speed with which the bullet is fired is 140𝑚𝑠 −1 and it hits the ground at a point
A which is at a horizontal distance of 200𝑚 from the foot of the hill. Find the:
(i) two possible values of the angle of projection
(ii) two possible times of flight
(iii) direction of the bullet after travelling for 1 second.

1
2. (a) Show that for uniform motion , 𝑠 = ut + 𝑎𝑡 2 .
2
(b) A cyclist starts from rest and accelerates uniformly to a speed of Vms-1 in 9s. He
maintains this speed for another 50s and then decelerates uniformly to rest. If his
deceleration is numerically three times his previous acceleration,

(i) Sketch a velocity – time graph of the motion of the cyclist,

(ii) Calculate the time during which the cyclist was decelerating,
(iii) Determine the value of V, given that the total distance travelled is 840m,
(iv) Calculate the acceleration of the cyclist.

3. A truck of mass 3 metric tonnes moves with 3ms-1 on straight horizontal rails. It
collides with truck B of mass 1 tonne, which is moving on the same rails at 4ms -1, and
the truck are moving towards each other. If the trucks couple to form a single body C,
which continues to move on the rails,
Find:
(i) the speed and direction of C after the collision.
(ii) the magnitude of the impulse exerted by B on A in the collision.
(i) a constant braking force 250N is applied to C and it comes to rest in a distance
d metres. Calculate the values d.

4. A body of mass 𝑚𝑘𝑔 lies on a rough plane inclined at 𝜃 0 to the horizontal. When a
𝑚𝑔
force of 𝑁 parallel to and up the plane is applied to the body, it is just about
2
𝑚𝑔
to move up the plane. When a force of 𝑁 parallel to and down the plane is applied
4
to the body, it is just about to move down the plane. Calculate correct to two decimal
places the value of:
(i) 𝜃
(ii) The coefficient of friction between the body and the plane.

5. ABCDEF is a regular hexagon of side 4m forces of magnitude 2N, 6N, 5N, 8N and 3N act
along the sides AB, BC, CD, ED and EF respectively. Taking AB and AE as the reference
positive 𝑥 and 𝑦 axes respectively, determine the;
(a) Magnitude of the resultant force and its direction.
(b) Line of action by taking moments about A and point where it crosses the x –
axis.

6. A sport car driver whose mass combined with the car is 250kg drives up a road of
inclination 1 in 10 at a maximum power of 12kW.
When the speed is 25𝑚𝑠 −1 , the car accelerates at 0.05𝑚𝑠 −2 .
(a) Find the resistance to motion. (take 𝑔 = 10𝑚𝑠 −2 )
(b) At the top of the road, he picks up a passenger of mass 70kg and drives on a
horizontal road. If the resistance is increased by 10%, find;
(i) the greatest speed that can be achieved when the engine is working at 80% of
the maximum power.
(ii) the immediate acceleration produced if the maximum power is suddenly engaged.

©Math 2024 (Sculpturing 400+ A’s) 3

7. PQRST is a regular pentagon of side 6m. Forces of magnitude 3N, 2N, 1N, 4N, 5N and 6N
act along the sides PQ, QR, SR, ST, TR and PT respectively. Taking PQ as the reference
positive 𝑥 axis, determine the;
(a) Magnitude of the resultant force and its direction.
(b) Line of action of the resultant and point where it crosses PQ.

8. A light inextensible string has one end attached to a ceiling. The string passes under
a smooth moveable pulley of mass 2 kg and then over a smooth fixed pulley. Particle
of mass 5 kg is attached at the free end of the string. The sections of the string not
in contact with the pulleys are vertical. If the system is released from rest and moves
in a vertical plane, find the:
(i) acceleration of the system.
(ii) tension in the string.
(iii) distance moved by the moveable pulley in 1.5 s.

9. Three particles of masses 2kg,12kg and 3kg are connected by means of a light
inextensible string passing over smooth light pulleys as indicated below

2kg 3kg

12kg
Assuming the strings are vertical, determine the
(a) accelerations of 2kg,12kg and 3kg masses
(b) tensions in the strings.

10. The figure below shows masses of 3𝑘𝑔 and 4𝑘𝑔 connected by a string and
are at rest.

𝐴 𝐵

3𝑘𝑔
𝐷 4𝑘𝑔
𝐶

If AD is inclined at an angle 450 to the horizontal and ∠𝐴𝐷𝐶 = 1500 , find

(i) Tension in each portion of the string.
(ii) Angle string 𝐶𝐵 makes with the horizontal.

11. A uniform rod 𝐴𝐵 has a mass 𝑀 and length 2𝑎. A particle of mass 2𝑀 is
attached to the rod at a point 𝐶, where 𝐴𝐶 = 1.5𝑎.The rod rests with end A on
a rough horizontal ground, held in equilibrium at an angle 𝜃 to the ground by
a light inextensible string attached perpendicular to the rod at 𝐵.
(a) Show that 𝑇 = 2𝑀𝑔 cos 𝜃.
(b) Given that cos 𝜃 = 0.6, show that the magnitude of the vertical
57𝑀𝑔
force exerted by the ground on the rod at 𝐴 is .
25
(c) The coefficient of friction between the rod and the ground is 𝜇.
8
Given that the rod is in limiting equilibrium, show that 𝜇 = 19.
©Math 2024 (Sculpturing 400+ A’s) 4
 PROBABILITIES
2 1 2
1. Two events X and Y are such that 𝑃(𝑋) = ,P(X⁄Y) = and P(Y⁄X) = . Find
5 2 3
′
(a) P(XnY) (b) X
P ( ⁄Y ′ )

2. A discrete random variable Y has the probability distribution function given

by
𝑦 5 8 9 11 12
𝑃(𝑌 = 𝑦) 𝑎 0.1 𝑎 0.4 0.1
Find the; (i) value of 𝑎. (ii) 𝐸(5𝑌 − 7) (iii) 𝑉𝑎𝑟(𝑥) (iv) median of 𝑌

1 𝑡
3. A random variable T is defined by; 𝑓(𝑡) = {𝛽 (2) ; 𝑡 = 1,2,3,4, … … …
0 ; 𝑒𝑙𝑠𝑒 𝑤ℎ𝑒𝑟𝑒
Where 𝛽 is a constant. Find
(i) Value of 𝛽.
(ii) 𝑃 (𝑇 ≥ 2⁄𝑇 ≤ 6)

4. Given that A and B are two events such that 𝑃(𝐴′ ) = 0.3, 𝑃(𝐵) = 0.1 and
P(A⁄B) = 0.2. find (i) 𝑃(𝐴 ∪ 𝐵) (ii) P(A⁄B ′ )

5. A box P contains 3 red and 5 black balls, while another box Q contains 6 reds
and 4 black balls. A box is chosen at random and from it a ball is picked and
put into another box. A ball is then randomly drawn from the later. Find the
probability that;
(i) Both balls are red. (ii) First ball drawn is black.

6. A batch of 7 nails is drawn from machine output which is 40% defective. Find
the;
(i) Probability that the batch contains at most 3 defective nails.
(ii) Most likely number of defective nails.

7. Given that 𝑋~𝐵(12,0.3). Find

(a) 𝑃(𝑋 < 6) (b) 𝑉𝑎𝑟(𝑋) hence the standard deviation

8. (a) Given that events A and B are independent events show that A 1 and B are
also independent
(b) Two events 𝐴 and 𝐵 are independent such that their chance of occurring
together is 0.2 and the chance of either 𝐴 or 𝐵 occurring is 0.875. find
the values of 𝑃(𝐴) and 𝑃(𝐵).

1 1
9. The chances of three soldiers A, B and C hitting a bullet at a target are ,
3 4
1
and 5
respectively. If all of them shoot once, find the probability of hitting
the target by;
(i) Only one of them (ii) At least two of them

©Math 2024 (Sculpturing 400+ A’s) 5

10. A certain manager travels to work by routes A and B. the probability that the
manager chooses route A is 0.25 and the probability that the manager is late
for work if he uses route A is 0.6, and the corresponding probability via
route B is 0.3. Determine the probability that he;
(a) is late for work.
(b) went via route B given that he is late for work.

11. (a) At a bus park, 60% of the buses are of Teso coaches, 25% are Kakise
buses and the rest are Y.Y buses. Of the Teso coaches 50% have TVs, while for
the Kakise and Y.Y buses only 5% and 1% have TVs respectively. If a bus is
selected at random form the park, determine the probability that
(i) It has a TV (ii) Kakise bus is selected given that it has a TV
(b) On a certain day, fresh fish from lakes, Kyoga, Victoria, Albert and
George were supplied to a market in ratio a 30%, 40%, 20% and 10% respectively.
Each lake had an estimated ratios of poisoned fish of 2%, 3%, 3% and 1%
respectively. If a health inspector picked a fish at random.
(i) What is the probability that the fish was poisoned?
(ii) Given that the fish was poisoned, what is the probability that it was
from lake Albert.

12. Two bags A and B contains Red and Green fruits. Bag A has 4 red and 3
green fruits while bag B contains 2 Red and 5green fruits. A bag is selected
at random and two fruits are randomly picked from it without replacement.
Find (i) Both fruits are green (ii) The fruits are of different colours,
(iii) The second fruit is green given that the first was also green

13. A Committee of three students had to be chosen from 8 girls and 10 boys.
Find the probability that the Committee will consist of at least one girl.

14. Eight letters of the word ELEPHANT are written and arranged at random. Find
the probability of the eight letter arrangements in which;
(i) The first letter is a “P”.
(ii) “N and T” are next to each other

15. A continuous random variable 𝑋 has a probability density function 𝑓(𝑥) given
by; 𝑘 ;0 < 𝑥 < 2
2
𝑓 (𝑥 ) = 𝑘
(3 − 𝑥 ) ; 2 < 𝑥 < 3
2
{ 0 ; 𝑒𝑙𝑠𝑒𝑤ℎ𝑒𝑟𝑒
(a) Sketch 𝑓(𝑥), state the mode hence find the constant 𝑘.
(b) Find the; (i) Mean, 𝐸(𝑥)
(ii) 𝑃(𝑋 ≤ 1.5⁄𝑋 > 1)

16. A continuous random variable X has a probability density function defined by

𝛼𝑥 0≤𝑥<1
𝑓(𝑥) = {𝛼 2≤𝑥<2
𝛼(3 − 𝑥) 2 ≤ 𝑥 < 3

(a) Sketch 𝑓(𝑥) hence find the value of ∝

(b) Deduce the cumulative distribution function 𝐹(𝑥) hence find 𝑃(𝟏. 𝟓 < 𝒙 < 𝟐. 𝟓)
©Math 2024 (Sculpturing 400+ A’s) 6
17. A random variable T has a pdf 𝑓(𝑡) such that:
𝑘(3 + 𝑡) −3≤𝑡 ≤0
𝑓(𝑡) = { 𝑘(3 − 𝑡) 0 ≤𝑡≤3
0 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒

Construct a cumulative distribution function 𝐹(𝑡) hence sketch it.

5 9
18. (a) Two events A and B are such that 𝑃(𝐴/𝐵) = , 𝑃(𝐴 ∪ 𝐵) = , and 𝑃(𝐵) = 𝑥.
11 10
9 6𝑥
(i) Show that 𝑃(𝐴) = 10 − 11
(ii) If 𝑃(𝐴 ∩ 𝐵) = 2𝑃(𝐴 ∩ 𝐵′ ), find the value of 𝑥.
(b) In a survey conducted in a S.6 mathematics class, 35% of the students
watched football and not cricket, 10% watched cricket but not football,
and 40% did not watch either game. If a student is chosen at random from
those in the survey, find the probability that he watches;
(i) football given that he watches cricket
(ii) football given that he does not watch cricket

19. The events 𝐴 and 𝐵 satisfy 𝑃(𝐴) = 𝑥 , 𝑃(𝐵) = 𝑦 , P(A ∪ B) = 0.6 , P(𝐵⁄𝐴) = 0.2
(a) Show that 4𝑥 + 5𝑦 = 3
The events 𝐵 and 𝐶 are mutually exclusive such that P(B ∪ C) = 0.9 and
P(C) = 𝑥 + 𝑦,
(b) Find the value of 𝑥 and 𝑦
(c) Determine, showing all the relevant workings, whether A and B are
statistically independent.

20. The events A and B are such that 𝑃(𝐴 ) = 0.3 , 𝑃(𝐵) = 0.5 and
𝑃(𝐴 ∪ 𝐵) = 0.6 .
Determine;
(a) 𝑃(𝐴 ∩ 𝐵) (b) 𝑃(𝐴 ∩ 𝐵′ ) (c) 𝑃(𝐴′ ∪ 𝐵)

21. The events A and B satisfy 𝑃(𝐴) = 0.6, 𝑃(𝐵) = 0.52 and 𝑃(𝐴 ∪ 𝐵) = 0.88 .
(a) Find the value of 𝑃(𝐴 ∩ 𝐵) and hence illustrate this
probability information in a fully completed Venn diagram.
(b) Determine;
i. 𝑃(𝐵 ⁄𝐴)
′
ii. 𝑃 (𝐴 ⁄𝐵′ )
(c) State, giving a reason, whether 𝐴 and 𝐵 are …
i. independent.
ii. mutually exclusive.

22. Given that 𝑋~𝑅[𝑎, 𝑏], find (i) pdf of 𝑋. (ii) 𝐸(𝑋) (iii) 𝑉𝑎𝑟(𝑋)

23. A random variable 𝑿 has a uniform distribution over an interval [𝑒, 𝑓].
(𝒆 + 𝒇)
(a) Show that; 𝐸(𝑋) =
2

(b) Given that 𝐸(𝑋) = 1 and 𝑃(𝑋 ≤ 0.25) = 0.25, find the;
(i) Values of 𝑒 and 𝑓 (ii) Variance hence standard deviation of 𝑿.
©Math 2024 (Sculpturing 400+ A’s) 7
 24. The table below shows the number of apples put in boxes A, B and C.
Boxes
Apples
A B C
Green 4 7 3
Red 7 5 11
A box is randomly selected and two apples are randomly selected from it without
replacement. Box A is twice as likely to be picked as B. While A and C have the same
chance of being picked.
(a) Determine the probability that both apples are:
(i) Of the same colour
(ii) From box B given that they are of the same colour.
(b) If X is the number of green apples taken, draw a probability distribution
table for X. hence calculate the mean and standard deviation of X.

STATISTICS
1. The data below shows marks obtained in a math test.
Marks 10−< 20 20−< 25 25−< 35 35−< 55 55−< 70 70−< 80
frequency 10 20 15 40 10 5
(a) Calculate the;
(i) Mean (ii) Mode
(b) Draw an Ogive and use it to find the;
(i) Median (ii) Semi-interquartile range (iii) Pass mark if 50 students
passed

2. The table below shows the times taken (in minutes) of a group of senior six
students to think of the right solution to an examination question.
Time(minutes) 0 ≤ 𝑥 ≤ 2 2 ≤ 𝑥 ≤ 4 4 ≤ 𝑥 ≤ 6 6 ≤ 𝑥 ≤ 10 10 ≤ 𝑥 ≤ 14 14 ≤ 𝑥 ≤ 18
Frequency 2 12 20 14 8 4
(a) Calculate the;
(i) Mean time taken by the student
(ii) Probability that a student selected at random used a time between 6
and 15 minutes.
(b) Draw an ogive and use it to estimate the middle 60 th percentile range of
the times used by the students while thinking.

3. The table below shows the prices of commodities sold in the market in the
months of July and October of 2024.
Commodity A B C D E
July 16000 4000 3000 3800 8000
October 15000 5200 3600 5500 6500
Weight 1 2 4 3 5
Take July=100
(a) Calculate the (i) Simple aggregate price index of October hence comment
(ii) Price relative of for each commodity (iii) cost of living index

©Math 2024 (Sculpturing 400+ A’s) 8

 (b) If the cost of a commodity in October is 500000, calculate its cost in
July using the answer in a (iii) above.

4. The table below shows the prices of items for the years 2016 and 2017
PRICE (£)
Item IN 2016 IN 2017 Weights

A 25 28 5
B 𝑥 𝑦 3
C 30 36 2

Given that the simple aggregate price index and weighted mean price index for
2017 based on 2016 are 120 and 119 respectively, find the values of 𝑥 and 𝑦.

5. In 1994, the price index of a commodity was 135 taking 1991 as the base year.
The price of the commodity in 1994 was Shs 5400 and in 1992 was Shs 4600.
Find (a) The price of the commodity in 1991
(b) The price index of the commodity in 1992 taking 1991 as the base year.

6. A class of 60 students performed an experiment to estimate the diameter of a

circular object and scored the following marks.
Marks 10 20 30 40 50 60 70
No. of students 2 10 𝑥 12 9 6 4
Find the (i) Value of 𝑥
(ii) Mean mark
(iii) Median mark
(iv) Variance using a working mean value of 40

8. The table below shows the cumulative frequency of ages of 240 students admitted
to a certain university.

Age (years) < 18 < 19 < 20 < 24 < 26 < 30 < 32

Cumulative frequency 0 24 94 170 < 218 < 234 < 240
Calculate the
(i) 𝐷7𝑡ℎ
(ii) 𝑃60
(iii) Mean age
(iv) Draw an Ogive hence use it to find the median age.

9. The table below gives the data about the masses of form six students in a certain
school in 2024.
Mass (Kg) 40 – 44 45 – 49 50 − 54 55 − 59 60 − 64 65 − 69 70 − 74
Frequency 6 4 8 10 12 7 3

(i) Calculate the mean mass

(ii) Determine the number of students whose mass exceeded the mean mass.
(iii) Find the median mass
(iv) Draw a cumulative frequency curve and estimate the 10 – 90 percentile range.

©Math 2024 (Sculpturing 400+ A’s) 9

10. The table below shows the distribution of heights of 60 students in a
Math Class.

Heights (cm) 50 – < 55 55 – < 75 75 – < 85 85 – < 90 90 – < 100 100 – < 120
No. of students 4 20 15 12 7 2
(i) Calculate the modal height.
(ii) Draw a histogram.

11. The table below shows marks given by two judges to ten teams in a music
contest.

Judge P 75 78 74 72 75 73 76 71 77 70
Judge Q 79 73 73 70 76 75 77 71 78 71
(i) Calculate the spearman’s rank correlation coefficient.
(ii) Comment on your solution.

12. The table below shows Grades in maths and ICT obtained by 8 students in a mock
examination.
Math A O E B C B F D
ICT 𝐷2 𝐹9 𝐶4 𝐷1 𝐷1 𝐶3 𝑃8 𝐶6
Calculate the rank correlation. Comment on results.

END
APPLIED MATHEMATICS P425/2 EXAMINATION FORMAT
Consists of 16 questions out of which 8 in Section A are compulsory and from the 8
in section B a student attempts 5 making a total of 13 questions attempted. Each
section contains 3 mechanics questions, 2 numerical questions and 3 questions from
Statistics and Probability.
Numerical Methods questions (4 questions) are set from topics: Linear
interpolation/extrapolation, the Trapezium rule, Error analysis, Roots of equations
(location, approximation and finding of accurate roots by linear interpolation and
newton Raphson method) and Flow charts.
Statistics questions (2 questions) are set from topics: Descriptive Statistics,
Measurement of relationship (Correlation and scatter diagrams) and index numbers.
Probability questions (4 questions) are set from topics: probability theory,
probability density functions (p.d.f’s), uniform/rectangular distributions, binomial
distributions, normal distribution, normal to binomial, normal approximation to
binomial (n, large), estimations/sampling (sample mean (𝑥̅ ) and confidence interval
for 𝜇).
Mechanics questions (6 questions). This is divided into three branches:
 Dynamics (1A and 1B= 2 questions)
Newton’s laws of motion e.g. connected particles, linear momentum, work, power
and energy, elasticity, SHM and circular motion.
 Kinematics (1A and 1B= 2 questions)
Linear motion, projectile motion, resultant velocity, relative motion, vector
mechanics.
 Statics (1A and 1B= 2 questions)
Composition and resolution of coplanar forces, friction (statics of a
particle), moments, equilibrium of rigid bodies (suspended, pivoted, limiting
equilibrium, hinged and jointed rods) and C.O.G.

WISHING YOU THE BEST PREPARATIONS

©Math 2024 (Sculpturing 400+ A’s) 10