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Mathematics Past Questions and Answers
Topic: Equations of straight lines
Classroom
Jamb
Exam year:
Exam year
1978
1979
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2015
2016
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2018
2019
2020
2021
2022
2023
Question type:
Question type
Objective
Theory
Topics:
Topics
[1] NUMBER AND NUMERATION
[1].1 Number bases
[1].1.1 operations in different number bases from 2 to 10
[1].1.2 conversion from one base to another including fractional parts
[1].2 Fractions, Decimals, Approximations and Percentages
[1].2.1 Fractions
[1].2.2 Decimals
[1].2.3 Significant figures
[1].2.4 decimal places
[1].2.5 Percentages errors
[1].2.6 Simple interest
[1].2.7 Profit and loss percent
[1].2.8 Ratio, proportion and rate
[1].2.9 Shares and valued added tax
[1].2.10 Approximations
[1].3 Indices, Logarithms and Surds
[1].3.1 Laws of Indices
[1].3.2 equations involving indices
[1].3.3 Standard form
[1].3.4 Laws of Logarithms
[1].3.5 Logarithm of any positive number to a given base
[1].3.6 change of bases in logarithm and application
[1].3.7 relationship between indices and logarithm
[1].3.8 Surds
[1].4 Sets
[1].4.1 Types of sets
[1].4.2 algebra of sets
[1].4.3 Venn diagrams and their applications
[2] ALGEBRA
[2].1 Polynomials
[2].1.1 Change of subject of formula
[2].1.2 Multiplication and division of polynomials
[2].1.3 Factorization of polynomials of degree not exceeding 3
[2].1.4 Roots of a polynomials not exceeding degree 3
[2].1.5 Factor and remainder theorems
[2].1.6 Simultaneous equations including one linear one quadratic
[2].1.7 Graphs of polynomials of degree not greater than 3
[2].2 Variation
[2].2.1 Direct
[2].2.2 Inverse
[2].2.3 Joint
[2].2.4 Partial
[2].2.5 Percentage increase and decrease
[2].3 Inequalities
[2].3.1 analytical and graphical solutions of linear inequalities
[2].3.2 quadratic inequalities with integral roots only
[2].4 Progression
[2].4.1 Nth term of a progression
[2].4.2 Sum of Arithmetic progression
[2].4.3 Sum of Geometric progression
[2].5 Binary Operations
[2].5.1 properties of closure, commutativity, associativity and distributivity
[2].5.2 Identity element (simple cases only)
[2].5.3 Inverse element (simple cases only)
[2].6 Matrices and Determinants
[2].6.1 algebra of matrices not exceeding 3 x 3
[2].6.2 Determinants of a matrix not exceeding 3 x 3
[2].6.3 Inverse of 2 x 2 matrices; [excluding quadratic and higher degree equations].
[2].6.4 Addition and Subtraction of matrices
[2].6.5 Multiplication of matrices
[2].6.6 Transpose of matrices
[3] GEOMETRY AND TRIGONOMETRY
[3].1 Euclidean Geometry
[3].1.1 Properties of angles and lines
[3].1.2 Polygons: triangles, quadrilaterals and general polygons
[3].1.3 Circle: angle properties, cyclic quadrilaterals and intersecting chords
[3].1.4 Construction
[3].2 Mensuration
[3].2.1 lengths and areas of plane geometrical figures
[3].2.2 Lengths of arcs
[3].2.3 Chords of a circle
[3].2.4 Perimeters and areas of sectors
[3].2.5 Segments of circles
[3].2.6 Surface areas and Volumes of simple solids
[3].2.7 Surface areas and Volumes of composite figures
[3].2.8 The earth as a sphere
[3].2.9 Longitudes and Latitudes
[3].2.10 Plane geometric shapes
[3].3 Loci
[3].3.1 locus in 2 dimensions based on geometric principles relating to lines and curves.
[3].4 Coordinate Geometry
[3].4.1 midpoint of a line segment
[3].4.2 Gradient of a line segment
[3].4.3 Distance between two points
[3].4.4 Parallel and perpendicular lines
[3].4.5 Equations of straight lines
[3].5 Trigonometry
[3].5.1 trigonometrical ratios of angles
[3].5.2 Angles of elevation
[3].5.3 Angles of depression
[3].5.4 Bearings
[3].5.5 areas and solutions of triangle
[3].5.6 graphs of sine and cosine
[3].5.7 sine and cosine formulae
[4] CALCULUS
[4].1 Differentiation
[4].1.1 Limit of a function
[4].1.2 differentiation of explicit algebraic and simple trigonometrical functions – sine, cosine and tangent.
[4].2 Application of differentiation
[4].2.1 Rate of change
[4].2.2 Maxima
[4].2.3 Minima
[4].3 Integration
[4].3.1 integration of explicit algebraic
[4].3.2 integration of simple trigonometrical functions
[4].3.3 area under the curve.
[4].3.4 Definite integral
[4].3.5 Indefinite integral
[5] STATISTICS
[5].1 Representation of data
[5].1.1 frequency distribution
[5].1.2 Histogram
[5].1.3 Bar chart
[5].1.4 Pie chart
[5].2 Measures of Location
[5].2.1 Mean of ungrouped and grouped data
[5].2.2 Mode of ungrouped and grouped data
[5].2.3 Median of ungrouped and grouped data
[5].2.4 cumulative frequency
[5].3 Measures of Dispersion
[5].3.1 Range
[5].3.2 Mean deviation
[5].3.3 Variance
[5].3.4 Standard deviation
[5].4 Permutation and Combination
[5].4.1 Linear and circular arrangements
[5].4.2 Arrangements involving repeated objects
[5].5 Probability
[5].5.1 experimental probability (tossing of coin, throwing of a dice etc)
[5].5.2 Addition and multiplication of probabilities (mutual and independent cases).
Jamb Mathematics Questions - Equations of straight lines
Question 11:
JAMB 1998
In the diagram, QTR is a straight line and < PQT = 30
o
. find the sin of < PTR
SchoolNGR Classroom
A
\(\frac{8}{15}\)
B
\(\frac{2}{3}\)
C
\(\frac{3}{4}\)
D
\(\frac{15}{16}\)
View Answer & Explanation
Question 12:
JAMB 2000
3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.
SchoolNGR Classroom
A
-4/3
B
-3/4
C
3/4
D
4/3
View Answer & Explanation
Question 13:
JAMB 2001
A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.
SchoolNGR Classroom
A
Y = (x/10) + 5
B
Y = x + 5
C
√3y = - x + 5√3
D
√3y = x + 5√3
View Answer & Explanation
Question 14:
JAMB 2002
In the diagram above, PST is a straight line, PQ = QS = RS. If ∠ RST = 72
o
, find x
SchoolNGR Classroom
A
36<sup style='font-size: smaller;'>o</sup>
B
18<sup style='font-size: smaller;'>o</sup>
C
72<sup style='font-size: smaller;'>o</sup>
D
24<sup style='font-size: smaller;'>o</sup>
View Answer & Explanation
Question 15:
JAMB 2003
The graph of the function y = x\(^2\) + 4 and a straight line PQ are drawn to solve the equation x\(^2\) - 3x + 2 = 0. What is the equation of PQ?
SchoolNGR Classroom
A
Y = 3x - 2
B
Y = 3x + 2
C
Y = 3x - 4
D
Y = 3x + 4
View Answer & Explanation
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