Higher-order thinking
SPM Add Math KBAT (HOTS) Problems
Original, multi-step KBAT (higher-order thinking) problems in the style of SPM Paper 2, each with a three-stage solution and mark-scheme-style keywords, so the hardest questions stop feeling like a wall.
KBAT (Kemahiran Berfikir Aras Tinggi) or higher-order thinking questions are where the top grades are decided. They rarely test a harder fact, they test whether you can apply familiar ideas in an unfamiliar, multi-step situation and find a sensible first step.
Every problem here is original, worked with a clear understand-plan-execute method, so you build a strategy for the questions that cannot be revised by memorising. They are in the style of SPM Paper 2 and never reproduce past-year questions.
Problems
Integration
Circular Measure
Index Numbers
Coordinate Geometry
Permutation and Combination
Indices, Surds and Logarithms
Progressions
Functions
Kinematics of Linear Motion
Linear Law
Linear Programming
Probability Distribution
Differentiation
Quadratic Functions
Systems of Equations
Solution of Triangles
Trigonometric Functions
Vectors
How to use these
The skill KBAT questions test cannot be revised by memorising, because the whole point is that the situation is new. What can be built is a reliable approach: read the whole problem and note what is given and what is asked; plan a route before committing ink; execute one clear step at a time; and check the answer for sense at the end.
Every problem here is worked with exactly that understand–plan–execute rhythm, using original scenarios in the style of the exam rather than reproduced past-year questions, so you practise the thinking rather than a specific answer. If a first step is hard to find, that is normal, finding it is the skill, and it comes from seeing enough worked examples that patterns start to feel familiar.
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Book a Trial ClassFrequently asked questions
Do I have to pay to use these pages?
No. Every page here is free to read and use.
Our one-to-one tutoring is a separate paid service, the first lesson is a one-hour paid class at the teacher’s rate, from RM50/hour, never free.
How should I use these alongside a tutor?
Study the material here first and notice exactly where it stops making sense, then bring those specific questions to a lesson. An hour of teaching aimed at your real gaps is worth far more than an hour re-explaining what you already understand.