Form 4 Revision Questions

8/22/2019 Form 4 Revision Questions

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SULIT 3421/1

ADDITIONAL MATHEMATICS

Paper 1

May

21

4 hour Two Hours and Fifteen

Minutes

DO NOT OPEN THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

1

NAME : ____________________________________________________________ CLASS : ________

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2

INFORMATION FOR CANDIDATES

MAKLUMAT UNTUK CALON

1 Write you answer on the buku jawapan provided. If the buku jawapan is insufficient, you may

helaian tambahan from the invigilator.

Jawapan anda hendaklah ditulis di dalam buku jawapan yang disediakan. Sekiranya buku jawap

tidak mencukupi, sila dapatkan helaian tambahan daripada pengawas peperiksaan.

2 Show your working. It may help you to get marks.

Tunjukkan langkah-langkah penting dalam kerja mengira anda. Ini boleh membantu anda untuk

mendapatkan markah.

3 The diagrams in the questions provided are not drawn to scale unless stated.

Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.

4 The marks allocated for each question and sub-part of a question are shown in brackets.

Markah yang diperuntukan bagi setiap soalan dan cerian soalan are shown in brackets.

5 You may use a non-programmable scientific calculator.Anda dibenarkan menggunakan kalkulatoscientific calculator yang tidak boleh diprogramkan.

6 Tie the helaian tambahan and the graph papers together with the buku jawapan and hand in to

invigilator at the end of the examination.

Ikat helaian tambahan dan kertas graf bersama-sama dengan buku jawapan dan serahkan kepad

pengawas peperiksaan pada akhir peperiksaan.

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1 Given the functionf:x3x 1 andg:x5x, fnd

a) gf(x)

b) the value ofx ifgf(x) =1

4 f(x)

2 Given that and are the roots of the quadratic equation 7x2 + 5x + 3 = 0. Form a quadratic

equation whose roots + 2 and +2.

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3 Diagram below shows the graph of the quadratic functionsy = -(x k)2 + 8, where kis a

constant.

-1

(6, -1)

Find

a) the value ofk

b) the equation of axis symmetry

c) the coordinate of maximum point

d) the equation of the curve if it is reflected trough

i) thex-axis

ii) they-axis

4 Given that the graph ofy = k 2(r x)2 has a maximum point of (5, -4). Find the value ofk

and r.

5 Solve the simultaneous equations 4x2 + 2xy = 9x + 12y = 3

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6 Given log25p -log1

5

q

= 0, expresspin terms ofq.

7 Given log2p = a and log2 3 = b, express logp36 in terms ofa and b.

8 The following information refers to the equations of two straight lines, AB and CD, which

are perpendicular to each other.

Express rin terms ofk.

9 Diagram below shows the straight linePQ which is perpendicular to the straight lineRQ at

the point Q.

P(-1, 5)

Q

O

R

y

x

5

AB :y kx r= 0

CD : = r 4 x k

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The equation of straight lineRQ isy = 4x 8. Find the coordinates ofQ.

10Table below shows the performance of 50 students in a quiz.

Marks < 5 < 10 < 15 < 20 < 25 < 30 < 35 < 40

Number of

students

2 6 15 22 30 35 42 50

a) Complete the table below.

Marks Number of students

0 4 2

b) Calculate the mean of the students performance in the quiz.

c) Without drawing an ogive, calculate the median for the distribution.

11The mean of five numbers is x . The sum of the squares of the numbers is 100 and the

standard deviation is 4y2. Expressx in terms ofy.

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12Table below shows the frequency distribution of the marks of a group of students in a test.

Marks Frequency

44 48 2

49 53 4

54 58 7

59 63 a

64 68 8

69 73 273 - 78 2

a) Find the range marks

b) Given that the median mass of the distribution is 60.5. Find

i) value a

ii) the percentage of the students whose marks are more than 63

13Diagram below shows a semicircleABCwith centre O and sectorPCQ with centreP.

O

A

P

Q

R

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Given thatPis a midpoint ofOA, Q is amidpoint ofOB andAB = 20 cm, calculate

a) CPQ in radians

b) perimeter, in cm2, of the sectorCPQ

c) the area, in, cm2, of the shaded region

O

xcm

14The diagram shows a rectangle inscribed in a semicircle with centre O and a radius of 5 cm.

One of the sides of the rectangle lies along the diameter of the semicircle.

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Given the width of the rectangle isx cm.

a) Find the area of the rectangle in terms ofx

b) Find the value ofx which gives a maximum area

15The volume of water in a tank is 450 litres on the first day. Subsequently, 10 litres of water

is added to the tank everyday. Calculate the volume, in litres. Of water in the tank at the end

of the 7th day.

16The table shows the price indices of four ingredients in the years 2003 and 2006 based on

the year 2000 and the weightages of the ingredients used to make a coconut bun.

Ingredient

Price Index

WeightageYear 2003 Year 2006

Flour 104 130 4

Sugar 124 186 2

Egg 120 135 3

Coconut 105 126 1

a) Calculate

i. The composite index for the cost of producing a coconut bun in the year 2003

based on the year 2000

ii. The cost of producing a coconut bun in the year 2003 if the cost of producing

a coconut bun in the year 2000 is RM0.80

b) Calculate

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i. The composite index for the cost of producing a coconut bun in the year 2006

based on the year 2003

ii. The composite index for the cost of producing a coconut bun in the year 2009

based on the year 2003 if the cost of each ingredient is expected to increase

by 30% from the year 2006 to the year 2009.

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Form 4 Revision Questions