KCSE 2025 Mathematics PAPER 1, Ques 18: 3D Geometry.

Описание: This is the complete, detailed tutorial for the KCSE 2025 Mathematics Exam Paper 1 Question 18: 3D: 3 Dimensional Geometry; Caclulating the volume of solids and their volune, pyramid and rectangular block. (KCSE 2025 Mathematics Paper 2 Ques 18)
In the overall series, We go through every single question in Section I and Section II to show you exactly how to approach the exam and secure maximum marks. This paper covers the full marking scheme for the just done KCSE Mathematics Exam. Doing Past KCSE Questions is a good way to revise for KCSE Exams and easiet way to pass KCSE Exams.

   • Indices and Logarithms Ques 1, Past KCSE Q...  
In the comprehensive tutorial, you will master:
1. Fractions and Decimals: Order of Operations (BODMAS/PEMDAS) involving fractions, division, and square roots. (KCSE 2025 Mathematics Paper 1 Question 1)
2. Ratio and Proportion: Calculating new quantities after a proportional change (ratio change). (KCSE 2025 Mathematics Paper 1 Question 2)
3. Laws of Indices: Solving exponential equations by converting bases to a common base. (KCSE 2025 Mathematics Paper 1 Question 3)
4. Linear Inequalities: Solving compound (combined) inequalities. (KCSE 2025 Mathematics Paper 1 Question 4)
5: Area Approximation: Estimating the area of an irregular shape using the counting squares method. (KCSE 2025 Mathematics Paper 1 Question 5)
6. Greatest Common Divisor (GCD)/HCF: Finding the GCD to determine the largest common mass and the least number of beneficiaries. (KCSE 2025 Mathematics Paper 1 Question 6)
7. Algebraic Expressions: Simplifying fractions by factoring algebraic expressions (Difference of Two Squares and Perfect Square Trinomial). (KCSE 2025 Mathematics Paper 1 Question 7)
8. Solids and Mensuration: Relating the area of a sector (curved surface of cone) to the dimensions of an open cone, and calculating the height using Pythagoras. (KCSE 2025 Mathematics Paper 1 Question 8)
9. Rates of Change (Time): Calculating total time loss by a faulty clock over a specific period. (KCSE 2025 Mathematics Paper 1 Question 9)
10. Geometrical Construction: Constructing a triangle given Side, Angle, Side (SAS) and measuring an unknown angle. (KCSE 2025 Mathematics Paper 1 Question 10)
11. Commercial Arithmetic: Solving for the cost price using simultaneous scenarios involving profit and loss. (KCSE 2025 Mathematics Paper 1 Question 11)
12. Statistics: Histograms, frequency density, and calculating missing frequencies. (KCSE 2025 Mathematics Paper 1 Question 12)
13. Transformation Geometry: Identifying the mirror line and completing the image of a reflection. (KCSE 2025 Mathematics Paper 1 Question 13)
14. Nets of Solids: Drawing and labeling the net of a prism with a trapezoidal cross-section. (KCSE 2025 Mathematics Paper 1 Question 14)
15. Area of a Triangle & Trigonometry: Using the area of a non-right-angled triangle (Area=​ 1/2 absinC) to find an angle, and then using trigonometry or Pythagoras in a right-angled triangle. (KCSE 2025 Mathematics Paper 1 Question 15)
16. Calculus (Differentiation): Finding the equation of a tangent to a curve at a given point using differentiation to determine the gradient. (KCSE 2025 Mathematics Paper 1 Question 16)
17. Linear Motion: Finding speed, time and Distance. Calculating Relative speed. (KCSE 2025 Mathematics Paper 1 Question 17)
18. 3D: 3 Dimensional Geometry; Caclulating the volume of solids and their volune, pyramid and rectangular block. (KCSE 2025 Mathematics Paper 2 Ques 18)
19. Equations of a straight line: Working out Gradient of perpendicular lines and parallel lines, calculating points of intersection, determing equations, caclulating coordinates of a line.
20. Application Question: Forming Linear Equations from Word Problems, Solving Linear Equations using Matrix method.
21. Vectors 2: Expressing as column Vectors, Determining value of scalars, representing vectors on graph grid, calculating the magnitude of vectors.
22. Construction; constructing angles using compass, droping a perpendicular, drawing a trapezim and calculating it's area.
23. Data and Statistics; Drawing frequency distribution table for the data, working out cumulative frequency, mean and median.
24: Application Question: Writing expression for y in terms of x, simplifying expressions, maximizing area, finding maximum possible area.

We break down challenging sections into easy-to-understand parts, show you the fastest shortcuts, and highlight the common mistakes that cost students marks. If you want to secure an A grade in KCSE Mathematics Paper 2, this is the single most important revision video you can watch!

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