Mathematics
Mathematics in the Pak Army Soldier Test checks arithmetic speed, fractions, percentages, ratio, basic algebra, and simple geometry. Most items are one- or two-step problems, so accuracy with operations and units matters more than advanced theory.
Core rules
- Order of operations: brackets, powers, multiplication and division from left to right, then addition and subtraction.
- To compare fractions, use a common denominator or convert to decimals.
- Percentage change uses the original value as the base: change divided by original, times 100.
- In algebra, perform the same operation on both sides to isolate the variable.
- Area of a rectangle is length times width; perimeter is the sum of all sides.
Worked example
A trader buys 12 items at Rs 45 each and sells all for Rs 600. Find the profit percent. Cost = 12 x 45 = Rs 540. Profit = 600 - 540 = Rs 60. Profit percent = 60/540 x 100 = 11.11 percent. The base is the cost price, not the selling price.
Traps
Do not use the selling price as the percentage base unless the question asks for margin on sales. Keep units consistent: convert minutes to hours before using speed = distance/time. In algebra, a negative sign before brackets changes every term inside. Check whether a geometry question asks for area or perimeter.
Exam focus
Write the given values, the required value, and the formula before calculating. A quick estimate catches impossible answers, such as a profit percent larger than the actual gain.