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🇵🇰 AKU BScN Admission Test · subject
AKU BScN Admission Test Mathematics and Quantitative Reasoning Syllabus
The Mathematics and Quantitative Reasoning syllabus for AKU BScN Admission Test in full: 6 chapters and 18 topics, every one listed below, plus 52 Mathematics and Quantitative Reasoning flashcards with answers.
Mathematics and Quantitative Reasoning syllabus: all 6 chapters
Expand any chapter to see its topics and sub-topics.
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Arithmetic and Number Sense
3 topics- Fractions, Decimals and Percentages
- Ratio and Proportion
- Unit Conversions
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Algebra
3 topics- Linear and Quadratic Equations
- Algebraic Expressions and Factorisation
- Number Sequences and Patterns
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Word Problems and Applications
3 topics- Percentage and Profit-Loss Problems
- Rate, Time and Work Problems
- Quantity Comparison
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Geometry and Mensuration
3 topics- Angles, Triangles and Circles
- Perimeter, Area and Volume
- Coordinate Geometry
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Data Interpretation and Statistics
3 topics- Tables, Charts and Graphs
- Averages, Mean, Median and Mode
- Basic Probability
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Logical and Quantitative Reasoning
3 topics- Pattern Recognition
- Numerical Reasoning
- Estimation and Approximation
AKU BScN Admission Test Mathematics and Quantitative Reasoning flashcards — 52 questions with answers
How do you convert a fraction to a percentage?
Multiply the fraction by 100. For example, 3/4 = (3/4) x 100 = 75%.
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.
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.
How do you multiply two fractions?
Multiply the numerators together and the denominators together: (a/b) x (c/d) = ac/bd. Simplify if possible.
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).
What is 0.125 expressed as a fraction in lowest terms?
1/8.
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.
If a:b = 3:5 and a = 12, what is b?
Since 3/5 = 12/b, cross multiply: 3b = 60, so b = 20.
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.
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).
How many centimetres are in 1 metre, and how many metres in 1 kilometre?
1 metre = 100 centimetres; 1 kilometre = 1000 metres.
How do you convert kilograms to grams?
Multiply by 1000. 1 kg = 1000 g, so 2.5 kg = 2500 g.
How many millilitres are in 1 litre?
1000 millilitres (1 L = 1000 mL).
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.
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).
What is the quadratic formula for solving ax^2 + bx + c = 0?
x = [-b plus or minus sqrt(b^2 - 4ac)] / (2a).
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).
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.
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.
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.
Show the other 32 Mathematics and Quantitative Reasoning flashcards
What is the difference of two squares factorisation?
a^2 - b^2 = (a + b)(a - b).
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.
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).
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.
What is the formula for the nth term of a geometric sequence?
a_n = a_1 x r^(n-1), where a_1 is the first term and r is the common ratio.
In the sequence 2, 6, 12, 20, 30..., what is the pattern and next term?
Differences increase by 2 each time (4,6,8,10...), so next difference is 12; next term = 30 + 12 = 42 (these are n(n+1)).
How do you find the sum of an arithmetic series of n terms?
S_n = n/2 x (a_1 + a_n), or S_n = n/2 x [2a_1 + (n-1)d].
How do you calculate profit percentage?
Profit % = (Profit / Cost Price) x 100, where Profit = Selling Price - Cost Price.
How do you calculate loss percentage?
Loss % = (Loss / Cost Price) x 100, where Loss = Cost Price - Selling Price.
If an item costs Rs 200 and is marked up 25%, what is the selling price?
Selling price = 200 + (25% of 200) = 200 + 50 = Rs 250.
How do you find the original price if the selling price after a 20% discount is Rs 160?
Selling price = 80% of original, so original = 160 / 0.80 = Rs 200.
What is the basic formula relating distance, speed and time?
Distance = Speed x Time; therefore Speed = Distance/Time and Time = Distance/Speed.
In work problems, if one person can complete a job in n days, what fraction do they do in one day?
1/n of the job per day.
If A does a job in 6 days and B in 12 days, how long do they take working together?
Combined rate = 1/6 + 1/12 = 3/12 = 1/4 per day, so together they take 4 days.
In quantity comparison, what are the typical four answer choices?
(A) Quantity A is greater; (B) Quantity B is greater; (C) the two quantities are equal; (D) the relationship cannot be determined from the information given.
What is the sum of the interior angles of a triangle?
180 degrees.
State the Pythagorean theorem for a right-angled triangle.
The square of the hypotenuse equals the sum of the squares of the other two sides: c^2 = a^2 + b^2.
What is the sum of angles around a point, and on a straight line?
Angles around a point sum to 360 degrees; angles on a straight line (a straight angle) sum to 180 degrees.
What is the relationship between a central angle and an inscribed angle subtending the same arc in a circle?
The central angle is twice the inscribed angle subtending the same arc.
What is the circumference and area of a circle of radius r?
Circumference = 2(pi)r; Area = (pi)r^2.
What is the area of a triangle given base b and height h?
Area = (1/2) x base x height = (1/2)bh.
What are the formulas for the area and perimeter of a rectangle with length l and width w?
Area = l x w; Perimeter = 2(l + w).
What is the volume of a cylinder with radius r and height h?
Volume = (pi)r^2 h.
What is the volume of a rectangular box (cuboid) with dimensions l, w, h?
Volume = l x w x h.
What is the distance formula between two points (x1,y1) and (x2,y2)?
Distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2].
What is the formula for the slope (gradient) of a line through (x1,y1) and (x2,y2)?
Slope m = (y2 - y1) / (x2 - x1).
What is the slope-intercept form of a straight line, and what do the constants mean?
y = mx + c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).
What is the midpoint formula for the segment joining (x1,y1) and (x2,y2)?
Midpoint = ((x1 + x2)/2, (y1 + y2)/2).
How do you find the mean (average) of a set of numbers?
Add all the values and divide by the number of values: Mean = (sum of values) / (number of values).
What is the difference between the median and the mode?
The median is the middle value when data is ordered (average of the two middle values if even count); the mode is the value that occurs most frequently.
What is the formula for the probability of an event?
P(event) = (number of favourable outcomes) / (total number of possible outcomes), giving a value between 0 and 1.
When rounding to estimate, how do you round 4,879 to the nearest hundred?
Look at the tens digit (7), which is 5 or more, so round up: 4,900.
AKU BScN Admission Test Mathematics and Quantitative Reasoning FAQ
What is in the AKU BScN Admission Test Mathematics and Quantitative Reasoning syllabus?
AKU BScN Admission Test Mathematics and Quantitative Reasoning is split into 6 chapters: Arithmetic and Number Sense, Algebra, Word Problems and Applications, Geometry and Mensuration, Data Interpretation and Statistics and Logical and Quantitative Reasoning. Together they contain 18 topics.
How many chapters are in AKU BScN Admission Test Mathematics and Quantitative Reasoning?
6 chapters, containing 18 topics. The largest chapter is Arithmetic and Number Sense, with 3 topics.
Are there flashcards for AKU BScN Admission Test Mathematics and Quantitative Reasoning?
Yes — a 52-card Mathematics and Quantitative Reasoning deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.