AKU MBBS Admission Test Mathematical Reasoning Syllabus

Mathematical Reasoning syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematical Reasoning in AKU MBBS Admission Test, not a summary of it.

1. 1

   Arithmetic and Number Properties

   3 topics

   • Ratios, Proportions and Percentages
   • Fractions, Decimals and Powers
   • Number Sequences and Patterns
2. 2

   Algebra

   4 topics

   • Linear and Quadratic Equations
   • Inequalities
   • Functions and Graphs
   • Word Problems
3. 3

   Geometry and Measurement

   3 topics

   • Lines, Angles and Triangles
   • Area, Perimeter and Volume
   • Coordinate Geometry
4. 4

   Data and Statistics

   3 topics

   • Mean, Median and Mode
   • Probability
   • Interpreting Charts and Graphs
5. 5

   Quantitative Problem Solving

   3 topics

   • Rate, Time and Work Problems
   • Unit Conversion and Estimation
   • Logical Numerical Reasoning

Mathematical Reasoning flashcards for AKU MBBS Admission Test

18 of 67 cards from the Mathematical Reasoning deck — real questions with worked answers.

1. How do you convert a ratio a : b into a percentage of the whole, given the two parts?

   Add the parts to get the total (a + b), then each part's percentage is (part ÷ total) × 100. So a is a/(a+b) × 100 percent and b is b/(a+b) × 100 percent.

2. If a : b = 3 : 5 and the total is 240, what is the value of each part?

   Total parts = 3 + 5 = 8. One part = 240 ÷ 8 = 30. So a = 3 × 30 = 90 and b = 5 × 30 = 150.

3. What is the formula for percentage change, and how do you tell increase from decrease?

   Percentage change = (New value − Old value) ÷ Old value × 100. A positive result is an increase; a negative result is a decrease.

4. In a direct proportion, what happens to y when x doubles, and what is the defining equation?

   In direct proportion y = kx (k constant), so if x doubles, y also doubles. The ratio y/x stays constant.

5. In an inverse proportion, what is the defining relationship and what is kept constant?

   Inverse proportion: y = k/x, so xy = k is constant. If x doubles, y is halved.

6. How do you find the original price when a discounted price and the percentage discount are known?

   Original = Discounted price ÷ (1 − discount as a decimal). E.g. price 80 after 20% off: 80 ÷ 0.80 = 100.

7. A quantity increases by 20% then decreases by 20%. What is the net percentage change?

   Net factor = 1.20 × 0.80 = 0.96, so it is a 4% net decrease (not 0%).

8. How do you solve a proportion of the form a/b = c/d for an unknown using cross-multiplication?

   Cross-multiply: a × d = b × c, then solve for the unknown by dividing. For x/b = c/d, x = (b × c) ÷ d.

9. What is the procedure for converting a fraction to a decimal and a decimal to a percentage?

   Fraction to decimal: divide numerator by denominator. Decimal to percentage: multiply by 100 and add the % sign.

10. State the product, quotient and power laws of exponents for the same base a.

    Product: a^m × a^n = a^(m+n). Quotient: a^m ÷ a^n = a^(m−n). Power of a power: (a^m)^n = a^(mn).

11. What do a negative exponent and a zero exponent mean? Give a^(−n) and a^0.

    a^(−n) = 1/a^n (reciprocal). a^0 = 1 for any nonzero a.

12. What does a fractional exponent a^(m/n) represent in terms of roots?

    a^(m/n) = the n-th root of a^m, i.e. (n√a)^m. For example 8^(2/3) = (³√8)² = 2² = 4.

13. What is the rule for multiplying two fractions, and for dividing one fraction by another?

    Multiply: (a/b) × (c/d) = (ac)/(bd). Divide: (a/b) ÷ (c/d) = (a/b) × (d/c) (multiply by the reciprocal).

14. To add or subtract fractions with different denominators, what must you do first?

    Find a common denominator (the LCM of the denominators), rewrite each fraction with that denominator, then add or subtract the numerators.

15. What is the formula for the nth term of an arithmetic sequence?

    aₙ = a₁ + (n − 1)d, where a₁ is the first term and d is the common difference.

16. What is the formula for the nth term of a geometric sequence?

    aₙ = a₁ × r^(n−1), where a₁ is the first term and r is the common ratio.

17. How do you find the common difference of an arithmetic sequence and the common ratio of a geometric sequence?

    Common difference d = any term minus the previous term (subtract). Common ratio r = any term divided by the previous term.

18. What is the sum of the first n terms of an arithmetic series?

    Sₙ = n/2 × (a₁ + aₙ) = n/2 × [2a₁ + (n − 1)d].

See more Mathematical Reasoning flashcards →

Planning Mathematical Reasoning for AKU MBBS Admission Test

Mathematical Reasoning (AKU MBBS Admission Test) FAQ