PathantuLearn • Understand • GrowPATHANTU LEARNING
Mathematics concepts, examples and exam-focused practice.
Read each lesson carefully and practise the key concept.
LEARN THE CONCEPT
Percentage means per hundred. Convert x% to x/100, then multiply. Use 10%, 5% and common fractions for faster calculation.
LEARN THE CONCEPT
Average equals total sum divided by the number of observations. When an item changes, adjust the total first.
LEARN THE CONCEPT
A ratio compares like quantities. In a proportion a:b = c:d, cross products are equal: ad = bc.
After reading a concept, explain it in your own words without notes and solve at least five questions.
Each open lesson has six original questions, worked solutions and common-error checks. No login is needed to read.
Reverse a discount, compare percentage points and combine successive changes. Write the base before calculating.
Solve joint work and delayed joining with consistent work units. Assume constant rates unless specified otherwise.
Use this sales table for questions 1–5: A sold 120 notebooks and 80 pens; B sold 150 notebooks and 100 pens; C sold 90 notebooks and 110 pens. These are counts, not revenue.
Currently available Pathantu practice tests are free with a student account. A Coming Soon label means there is no test to attempt yet.
For timed tests, submit your attempt to see answers and explanations. The open lessons include free worked solutions.
First solve without looking at the solution. Record the concept behind each mistake, then retry a similar question the next day. Follow the current official notification for your exam syllabus.