SPM · Malaysia · Predicted papers

SPM Additional Mathematics3472

2 papers180 marks4 h 30 min

What we predict comes up

From the syllabus weighting and how the papers are usually set. The papers below follow it.

Differentiation and integration14%Form 4 differentiation and Form 5 integration together carry the largest single block of marks, from routine rules to optimisation and volumes.
Functions, quadratics and systems of equations13%Form 4 algebra (functions, quadratic functions, systems of equations) opens both papers and is about 29 of the 218 marks set here.
Progressions and linear law13%Arithmetic and geometric progressions appear on both papers, and linear law is a regular graph-paper question in Paper 2 Section B.
Coordinate geometry and vectors13%Divided lines, areas and loci from Form 4 coordinate geometry, and a vectors in a triangle question, recur every year.

3472/1

Paper 1

2 h · 80 marks · Calculator allowed

120:00

The real paper is printed in Malay and English (dwibahasa); this practice version gives the English text.
This question paper consists of two sections: Section A and Section B.
Answer all questions in Section A and any two questions from Section B.
Show your working. It may help you to get marks.
A list of formulae is provided in the real paper. You may use a scientific calculator.

Answer or mark a question and your score adds up here.

Section A64 marks

Answer all questions. [64 marks]

15 marks

The functions

f

and

g

are defined by

f : x \mapsto 3 x - 2

and

g : x \mapsto 2 x + 5

(a)Find

f^{- 1} (7)

.[1]

(b)Find

g f (x)

.[2]

(c)A function

h

is such that

h f (x) = 6 x - 1

. Find

h (x)

.[2]

26 marks

It is given that the quadratic function

f (x) = - 2 x^{2} + 8 x + 3

(a)Express

f (x)

in the form

a (x + p)^{2} + q

, where

a

p

and

q

are constants.[2]

(b)State the maximum value of

f (x)

.[1]

(c)Find the range of values of

k

such that the equation

- 2 x^{2} + 8 x + 3 = k

has two distinct real roots.[3]

36 marks

A stall sells three types of kuih in packets: A, B and C. Ali pays RM 23 for 2 packets of A, 1 packet of B and 3 packets of C. Bala pays RM 24 for 1 packet of A, 3 packets of B and 2 packets of C. Chong pays RM 19 for 3 packets of A, 2 packets of B and 1 packet of C.

(a)Using

x

y

and

z

for the prices, in RM, of one packet of A, B and C, write three linear equations for the information given.[1]

(b)Solve the equations to find the price of one packet of each type of kuih.[4]

(c)Dina buys 4 packets of A, 2 packets of B and 2 packets of C. How much does she pay?[1]

12 more questions

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