NECTA Form Two Basic Mathematics
Most Repeated Examination Questions
About These Questions
This collection represents the most frequently asked questions in Form Two Basic Mathematics examinations based on analysis of past NECTA papers. Questions are categorized by topic and frequency of appearance. Use this guide to focus your revision on areas most likely to appear in your exam.
Frequency Legend: High Frequency Medium Frequency Low Frequency
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1
Solve quadratic equations using factorization, completing the square, and quadratic formula methods.
High Frequency -
2
Simplify algebraic expressions involving indices and surds.
High Frequency -
3
Solve simultaneous equations (both linear and one linear, one quadratic).
High Frequency -
4
Factorize algebraic expressions using various methods.
Medium Frequency
-
1
Apply Pythagoras theorem to solve problems involving right-angled triangles.
High Frequency -
2
Calculate angles using circle theorems (angles in the same segment, angle at center, etc.).
High Frequency -
3
Solve problems on similarity and congruence of triangles.
High Frequency -
4
Calculate areas and volumes of various shapes (cylinders, cones, spheres).
Medium Frequency
-
1
Calculate measures of central tendency (mean, median, mode) from various data representations.
High Frequency -
2
Interpret and draw statistical graphs (histograms, frequency polygons, pie charts).
High Frequency -
3
Calculate probability of simple and compound events.
Medium Frequency -
4
Solve problems involving measures of dispersion (range, quartiles).
Medium Frequency
-
1
Work with number bases (binary, decimal, octal conversions and operations).
High Frequency -
2
Solve problems on ratios, proportions, and percentages.
High Frequency -
3
Apply the concepts of LCM and HCF to solve word problems.
Medium Frequency -
4
Perform operations with fractions, decimals, and significant figures.
Medium Frequency
-
1
Calculate areas and perimeters of composite shapes.
High Frequency -
2
Solve problems on surface area and volume of 3D shapes.
High Frequency -
3
Apply the concepts of similar figures to calculate lengths, areas, and volumes.
Medium Frequency -
4
Solve problems involving arcs, sectors, and segments of circles.
Medium Frequency
-
1
Draw graphs of linear, quadratic, and reciprocal functions.
High Frequency -
2
Find domain and range of various functions.
High Frequency -
3
Solve problems involving inverse functions.
Medium Frequency -
4
Interpret graphs to find solutions to equations.
Medium Frequency
Examination Tips for Mathematics
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Practice regularly: Mathematics requires consistent practice. Solve as many problems as possible from each topic.
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Master the basics: Ensure you have a strong foundation in arithmetic, algebra, and geometry concepts.
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Show your working: Even if your final answer is wrong, you may get marks for correct method and steps.
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Manage your time: Allocate time appropriately to each question during the exam.
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Review past papers: Familiarize yourself with the exam format and frequently asked questions.
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Check your answers: If time allows, recheck your calculations to avoid careless mistakes.
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