AKU BScN Admission Test Mathematics and Quantitative Reasoning Syllabus

Mathematics and Quantitative Reasoning syllabus — full chapter and topic list

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

1. 1

   Arithmetic and Number Sense

   3 topics

   • Fractions, Decimals and Percentages
   • Ratio and Proportion
   • Unit Conversions
2. 2

   Algebra

   3 topics

   • Linear and Quadratic Equations
   • Algebraic Expressions and Factorisation
   • Number Sequences and Patterns
3. 3

   Word Problems and Applications

   3 topics

   • Percentage and Profit-Loss Problems
   • Rate, Time and Work Problems
   • Quantity Comparison
4. 4

   Geometry and Mensuration

   3 topics

   • Angles, Triangles and Circles
   • Perimeter, Area and Volume
   • Coordinate Geometry
5. 5

   Data Interpretation and Statistics

   3 topics

   • Tables, Charts and Graphs
   • Averages, Mean, Median and Mode
   • Basic Probability
6. 6

   Logical and Quantitative Reasoning

   3 topics

   • Pattern Recognition
   • Numerical Reasoning
   • Estimation and Approximation

Mathematics and Quantitative Reasoning flashcards for AKU BScN Admission Test

24 of 52 cards from the Mathematics and Quantitative Reasoning deck — real questions with worked answers.

1. How do you convert a fraction to a percentage?

   Multiply the fraction by 100. For example, 3/4 = (3/4) x 100 = 75%.

2. How do you convert a percentage to a decimal?

   Divide the percentage by 100 (move the decimal point two places left). For example, 45% = 0.45.

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

   Find a common denominator (usually the LCM of the denominators), convert each fraction, then add or subtract the numerators.

4. How do you multiply two fractions?

   Multiply the numerators together and the denominators together: (a/b) x (c/d) = ac/bd. Simplify if possible.

5. How do you divide one fraction by another?

   Multiply the first fraction by the reciprocal of the second: (a/b) / (c/d) = (a/b) x (d/c).

6. What is 0.125 expressed as a fraction in lowest terms?

   1/8.

7. What does a proportion state about two ratios?

   A proportion states that two ratios are equal, e.g. a/b = c/d. In a proportion, the cross products are equal: a x d = b x c.

8. If a:b = 3:5 and a = 12, what is b?

   Since 3/5 = 12/b, cross multiply: 3b = 60, so b = 20.

9. How do you divide a quantity in a given ratio (e.g. divide 80 in ratio 3:5)?

   Add the ratio parts (3+5=8), divide the total by the sum (80/8=10), then multiply by each part: 3x10=30 and 5x10=50.

10. What is the difference between direct and inverse proportion?

    In direct proportion, as one quantity increases the other increases (y = kx). In inverse proportion, as one increases the other decreases (y = k/x, or xy = constant).

11. How many centimetres are in 1 metre, and how many metres in 1 kilometre?

    1 metre = 100 centimetres; 1 kilometre = 1000 metres.

12. How do you convert kilograms to grams?

    Multiply by 1000. 1 kg = 1000 g, so 2.5 kg = 2500 g.

13. How many millilitres are in 1 litre?

    1000 millilitres (1 L = 1000 mL).

14. How do you convert a speed from km/h to m/s?

    Multiply by 1000/3600, i.e. multiply by 5/18. For example, 72 km/h = 72 x 5/18 = 20 m/s.

15. What is the standard form of a linear equation in one variable, and how do you solve it?

    ax + b = 0. Solve by isolating x: x = -b/a (subtract b from both sides, then divide by a).

16. What is the quadratic formula for solving ax^2 + bx + c = 0?

    x = [-b plus or minus sqrt(b^2 - 4ac)] / (2a).

17. What does the discriminant b^2 - 4ac tell you about a quadratic equation's roots?

    If > 0, two distinct real roots; if = 0, one repeated real root; if < 0, no real roots (two complex roots).

18. For ax^2 + bx + c = 0, what are the sum and product of the roots?

    Sum of roots = -b/a; product of roots = c/a.

19. How do you solve a system of two linear equations by substitution?

    Solve one equation for one variable, substitute that expression into the other equation, solve for the remaining variable, then back-substitute.

20. How do you factorise a quadratic expression x^2 + bx + c?

    Find two numbers that multiply to c and add to b; write as (x + p)(x + q) where p+q=b and pq=c.

21. What is the difference of two squares factorisation?

    a^2 - b^2 = (a + b)(a - b).

22. What are the expansions of (a + b)^2 and (a - b)^2?

    (a+b)^2 = a^2 + 2ab + b^2; (a-b)^2 = a^2 - 2ab + b^2.

23. How do you find a common factor when factorising (e.g. 6x^2 + 9x)?

    Take out the greatest common factor (GCF). 6x^2 + 9x = 3x(2x + 3).

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

    a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

See more Mathematics and Quantitative Reasoning flashcards →

Planning Mathematics and Quantitative Reasoning for AKU BScN Admission Test

Mathematics and Quantitative Reasoning (AKU BScN Admission Test) FAQ