NABTEB Mathematics Syllabus Questions and answers 2025

MATHEMATICS[br][br]

This course is designed to provide trainees with a sound knowledge of mathematical concepts as
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aids in the conceptualization, interpretation, and application of the technical soft wares and hard
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wares as well as to enhance their mathematical problems – solving ability in their various trades.
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It is also to form a basis for post secondary technical education.
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All candidates are expected to answer questions from General Mathematics while those in
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Secretarial Studies and Book-Keeping are in addition to answer questions from Commercial
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Mathematics.
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Examination Scheme:[br]

The examination consists of Two Papers:
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002-1 – Paper I (1½ Hrs)
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002-2 – Paper II (2½ Hrs)
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The total mark for both papers is 150.
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1. Paper I: is made up of 50 multiple-choice items for 50 marks. All candidates are

expected to attempt this paper.
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2. Paper II: Consists of three sessions namely A, B and C.
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(a) Section A consists of five questions from General Mathematics. All candidates
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are expected to attempt all questions. This section carries 40 marks.
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(b) Section B consists of six questions. All candidates are to attempt any four of the six

questions except Secretarial and Business candidates who are to attempt only two

questions. Each question carries 15 Marks.
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(c) Section C consists of four questions from Commercial Mathematics for Secretarial

and Business candidates only. Candidates are expected to attempt any two out of the

four questions. Each question carries 15 marks.
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Candidates should be familiar with units-length, area, cubic capacity, mass – and their

abbreviations. Any currency unit used will be defined.
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Examination Materials:

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Candidates are allowed to use the recommended mathematical statistical tables in the
examination hall for the papers. It is strongly recommended that schools/candidates obtain
copies of these tables for use through the course.[br]
Candidates should bring rules and complete mathematical instrument set for all papers.
Borrowing of instruments from other candidates in the examination hall will not be allowed. The
use of noiseless, cordless and non-programmable calculators is allowed.
If required, the following will be provided for any paper.[br][br]
(i) Graph paper ruled in 2mm squares[br]
(ii) Plain drawing sheets for construction work
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GENERAL MATHEMATICS[br][br]
Topic/objectives Contents Activities/Remarks[br][br]
1. Number Bases.
Count and
perform
Basic
arithmetic
operations in
different bases.[br][br]
(i) Number bases – counting in
different bases: Converting from
one base to another; addition,
subtraction, multiplication and
division in different bases.[br][br]
(ii)_Modules arithmetic
Arithmetic operation in
different bases should
exclude fractions.
Comparison between
place value system and
additive system should
be stressed e.g. 4520
means 4 thousands, 5
hundreds, 2 tens and 0
unit: 26 in base eight
means 2 eight and 6 unit
etc.[br]
Relate to market days
etc. Truth sets (solution
sets) for various open
sentences e.g. 3 x 2
a(mod)48+y=4(mod)9

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2. System
Internationale
Unit.
Solve problems
involving S.I.
and imperial
units.[br]
Difference between S.I. and Imperial
units of linear measures: conversion of
S.I. units and vice versa: mm to m; m to
km and vice versa; exercises involving
time – hours, minutes and seconds
The basic units of S.I.
units must be emphasized
e.g the basic units of
mass, length, time, area,
volume are gramme,
metre, second, square
metre, cubic metre
respectively. The
advantages of S.I. units
over the imperial units
should be deduced by
students; the use of S.I.
units in science, social
sciences should be
brought out and exercise
should be related to
practical use.[br][br]
3. Fractions
Solve
arithmetic
operations
involving vulgar
and decimal
fractions.[br]
The law of equivalence of decimals and
vulgar/common fractions. Vulgar
fractions to decimal fractions and vice
versa. Basic processes – addition,
subtraction, multiplication and division –
applied to decimals and fractions
(vulgar/common fractions.)
Decimal fraction should
be confined to two places
e.g. 0.13 x 2.14 etc.[br]
Interrelationship between
the different fractional
systems e.g. 0.5 x 0.2 =
½ x 1/5 and 2/5 = 0.4 –
40% etc should be
stressed.

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4. Standard Forms. Standard forms, decimal places and

Express numbers significant figure. Rounding off number

in standard forms and give answer in the required number

and to the required of decimal places ad significant figures;

number of

significant figures

express number in standard forms; A x

10n where 1<A<10 and n is either – ve

decimal places. or + ve integer
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5. Ratio and Ratio and proportion. Relate these to the

Proportion . Relationship between ratio and students’ work in science

Solve problems on proportion representative fraction and technical subjects.

ratio and Examples and exercises on direct and

proportion. inverse ratios and proportions including

representative fraction.[br][br]

6. Variation Direct, inverse and partial variations.

Joint variations.

Applications to simple

practical problems.[br][br]

7. Percentages, Percentages, profit and loss calculation. The means of

Profit and Loss. Conversion of fraction and decimal to transactions e.g. money,

Apply the percentages and vice versa; percentage cheques, money orders,

principles of change, commercial arithmetic including postal orders etc. should

percentages to profit and loss, small decimal fractions. be mentioned.

fractions and Application of profit and loss to

decimals. commerce generally.
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8. Simple Interest Simple Interest – Calculation of

Principal (P), Interest (I), Rate (R) and

Time (T) using I = PRT

100

Transformation of the

Solve problems formula for P.R and T

involving simple should be clear.

interest.[br][br]

9. Logarithms

Apply logarithms,

square And square

root tables in

calculations.[br]

Based 10 logarithms tables and anti-

logarithm tables, calculation involving

multiplication, division, powers and

roots using logarithm tables. Examples

and exercise from simple to complex

combination of multiplication, division,

powers and roots of numbers e.g.

√172.7 x 15.42

2.613

etc.[br][br]

10. Indices Indices as a shorthand notation. Laws of

indices:
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(a) a

x

x a

y=ax+y
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(b) a

x  a

y=ax-y

.
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(c) (ax

)

y = a

xy

The use of indices in

Apply the laws of science and technical

indices in subjects should be

simplification and emphasized and exercises

calculation. should be related to

practical use.

Trainers should be

encouraged to discover

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NABTEB English Language Syllabus Questions and answers 2024

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