NECTA Form Two Basic Mathematics
Comprehensive guide to the most repeated questions and frequently tested topics in Form Two Basic Mathematics examinations
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Algebra
- Linear equations and inequalities
- Quadratic equations
- Simultaneous equations
- Algebraic fractions
- Indices and exponents
- Factorization
- Word problems
Geometry
- Properties of angles and lines
- Triangles and their properties
- Circles and their properties
- Quadrilaterals and polygons
- Pythagoras theorem
- Congruence and similarity
- Geometric constructions
Numbers
- Real numbers
- Fractions, decimals, and percentages
- Ratio and proportion
- Sets and Venn diagrams
- Number sequences
- Approximations and estimations
- Significant figures
Statistics & Probability
- Data collection and representation
- Mean, median, and mode
- Range and interquartile range
- Bar graphs, pie charts, and histograms
- Probability concepts
- Probability calculations
- Tree diagrams
Commercial Mathematics
- Profit and loss
- Discounts and commissions
- Simple and compound interest
- Rates and taxes
- Hire purchase
- Currency conversion
- Ratio and proportion in business
Measurements
- Units of measurement
- Perimeter and area
- Surface area and volume
- Time, distance, and speed
- Scale drawings
- Conversions between units
- Money calculations
Most Repeated Questions
1. Algebra: Solving Equations
Solve for x: 3(2x - 5) + 4 = 19
This type of linear equation appears frequently, often with fractions or requiring expansion of brackets.
2. Geometry: Angle Calculations
In the diagram below, lines AB and CD are parallel. Calculate the value of angle x, giving reasons for your answer.
Questions on parallel lines and angle properties are extremely common in NECTA exams.
3. Percentages and Ratios
If a dress is sold at 15% discount for 59,500 TSH, what was its original price?
Percentage increase and decrease problems appear in almost every Form Two exam.
4. Statistics: Averages
The mean of five numbers is 12. If four of the numbers are 8, 15, 10, and 13, find the fifth number.
Questions requiring calculation of mean, median, or mode are very common.
5. Pythagoras Theorem
A ladder 5m long leans against a wall. If the foot of the ladder is 3m from the wall, how high up the wall does the ladder reach?
Application of Pythagoras theorem in practical situations is frequently tested.
6. Sets and Venn Diagrams
In a class of 40 students, 25 study Physics, 20 study Chemistry, and 8 study both subjects. How many students study neither subject?
Set theory questions, especially using Venn diagrams, appear regularly.
Examination Tips
- Practice with past papers to familiarize yourself with the question format
- Manage your time effectively during the exam
- Show all your working steps to secure method marks
- Read questions carefully and identify what is being asked
- Check your answers, especially for calculation errors
- Revise all topics but focus more on frequently tested areas
- Ensure you have the correct mathematical tools (calculator, geometrical set)
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