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Quizzes > Mathematics > Basic Math & Arithmetic

SKCT Coimbatore Math Quiz: Take the 100-Question Challenge!

Think you can ace this Coimbatore maths quiz? Start the SKCT question paper challenge now!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art arithmetic and percentage symbols clock 100 questions 60 minutes SKCT Coimbatore math quiz on sky blue background

Use this SKCT Coimbatore math quiz to practice under the clock: 100 questions in 60 minutes across arithmetic, percentages, ratios, and more. You'll build speed and spot weak areas before the exam, and see your score right away. Warm up with practice MCQs , then take the full paper and keep going with more math practice .

What is 25% of 200?
50
60
45
40
To find a percentage of a number, convert the percentage to a decimal and multiply. Here, 25% is 0.25, and 0.25 × 200 equals 50. This method applies to any percentage calculation. .
Simplify the fraction 3/9.
1/3
1/2
2/6
3/9
Fractions are simplified by dividing numerator and denominator by their greatest common divisor (GCD). The GCD of 3 and 9 is 3, so 3/9 simplifies to (3÷3)/(9÷3)=1/3. .
What is 7 + 8?
15
13
16
14
Addition combines two numbers into a larger one. Summing 7 and 8 gives 15. This is a basic arithmetic operation. .
What is 9 × 6?
48
62
54
56
Multiplication is repeated addition. Nine groups of six equal 9 × 6 = 54. Memorizing multiplication tables aids quick calculation. .
What is 144 ÷ 12?
11
10
14
12
Division partitions a number into equal parts. Dividing 144 by 12 yields 12 since 12 × 12 = 144. This is often tested in arithmetic. .
What is the value of 2^3?
8
9
4
6
Exponents indicate repeated multiplication. 2^3 means 2 × 2 × 2, which equals 8. Understanding exponents is key in algebra. .
What is the next prime number after 7?
12
10
11
9
A prime number has exactly two distinct positive divisors: 1 and itself. After 7, the next integer is 8 (not prime), then 9 (divisible by 3), 10 (divisible by 2), and 11 (prime). .
If x + 5 = 12, what is x?
7
6
5
8
Solve for x by subtracting 5 from both sides: x = 12 ? 5 = 7. This is a simple linear equation. .
What is 15% of 60?
9
8
10
12
Convert 15% to decimal (0.15) and multiply by 60: 0.15 × 60 = 9. Percent calculations follow this method. .
Round 23.67 to the nearest whole number.
23
25
24
22
Rounding to the nearest whole number looks at the decimal part: .67 is ? .5, so round up. Thus, 23.67 rounds to 24. .
What is the product of 0 and any number?
The number itself
0
Undefined
1
Multiplying by zero always yields zero because zero groups of any size sum to zero. This is a fundamental property of multiplication. .
Simplify 0.5 + 0.25.
0.25
0.75
0.5
1
Add the decimal values directly: 0.5 + 0.25 = 0.75. Decimal addition aligns digits by place value. .
What is the perimeter of a square with a side length of 3?
12
6
9
15
Perimeter of a square is 4 times the side length. With side 3, 4 × 3 = 12. Perimeter measures boundary length. .
What is the area of a rectangle with length 4 and width 5?
40
9
20
15
Area of a rectangle equals length × width: 4 × 5 = 20. This formula applies to all rectangles. .
If a = 3 and b = 4, what is a × b?
7
10
12
11
Substitute and multiply: 3 × 4 = 12. Variable substitution is fundamental in algebra. .
A train travels at 60 km/h for 2.5 hours. How far does it travel?
130 km
120 km
100 km
150 km
Distance = speed × time, so 60 km/h × 2.5 h = 150 km. This formula applies to uniform motion. .
Simplify (2/3) + (1/6).
1/2
3/4
5/6
4/5
Find a common denominator (6): (4/6)+(1/6)=5/6. Fraction addition requires matching denominators. .
What is 15^2?
250
225
200
235
Squaring a number multiplies it by itself: 15 × 15 = 225. Exponents denote repeated multiplication. .
A bag contains 5 red and 3 blue marbles. What is the probability of drawing a red marble?
3/8
5/8
5/3
8/5
Probability = favorable outcomes/total outcomes = 5/(5+3)=5/8. Basic probability uses this ratio. .
Solve 2x - 5 = 9.
7
8
6
5
Add 5 to both sides: 2x = 14, then divide by 2: x = 7. This is a linear equation. .
What is the area of a circle with radius 7? (Use ? = 22/7)
88
49
308
154
Area = ?r². With r = 7 and ? = 22/7, area = (22/7) × 7² = 22 × 7 = 154. .
If you invest 1000 at 5% simple interest per year, what will the amount be after one year?
1050
1005
1100
1500
Simple interest = principal × rate × time = 1000 × 0.05 × 1 = 50. Total amount = 1000 + 50 = 1050. .
Convert 0.125 to a fraction.
2/5
1/8
3/4
1/4
0.125 equals 125/1000 which simplifies by dividing by 125: (125÷125)/(1000÷125)=1/8. Decimal-to-fraction conversion uses place value. .
What is the least common multiple (LCM) of 6 and 8?
14
18
48
24
Prime factors: 6=2×3, 8=2³. LCM uses highest powers: 2³×3=8×3=24. Find LCM by combining prime factors. .
What is the median of the set [3, 1, 4, 2, 5]?
4
1
2
3
Arrange in order: [1,2,3,4,5]. Median is the middle value, which is 3. Median splits a dataset into two equal halves. .
If you double the length and halve the width of a rectangle, how does its area change?
Remains the same
Doubles
Halves
Quadruples
Original area = L × W. New area = (2L) × (W/2) = L × W, unchanged. Scaling one dimension up and another down can preserve area. .
Solve for y: 3(y + 2) = 15.
3
2
1
5
Divide both sides by 3: y + 2 = 5, then subtract 2: y = 3. Distribute or isolate variables to solve. .
If 20% of a number is 50, what is the number?
250
150
200
100
Let the number be x: 0.2x = 50 ? x = 50/0.2 = 250. Percentage problems use this equation. .
How many degrees are in a right angle?
60
180
90
45
A right angle is defined as 90 degrees. It is one quarter of a full 360-degree rotation. .
What is the sum of the interior angles of a triangle?
360
180
270
90
In Euclidean geometry, the interior angles of a triangle always sum to 180 degrees. This is a fundamental property. .
Solve 3x^2 - 12 = 0.
x = 4 or x = -4
x = 6 or x = -6
x = 2 or x = -2
x = 3 or x = -3
Set 3x² - 12 = 0 ? 3x² = 12 ? x² = 4 ? x = ±2. Quadratic equations can be solved by factoring or formula. .
In a geometric sequence 2, 6, 18, … what is the 4th term?
72
36
54
24
Each term multiplies by the common ratio r = 6/2 = 3. The 4th term = 18 × 3 = 54. .
Evaluate log base 10 of 1000.
3
100
10
2
log10(1000) asks '10 to what power equals 1000'. Since 10³ = 1000, the log is 3. .
Simplify (x^2 - 9)/(x - 3).
x - 3
x + 9
x + 3
x - 1
Factor numerator: x² - 9 = (x - 3)(x + 3). Cancel (x - 3) to get x + 3. Valid when x ? 3. .
What is the derivative of f(x) = 3x^2?
6x
3x
9x
2x
Using power rule, d/dx[x^n] = n x^(n?1). Here n=2, so derivative = 2·3 x^(2?1) = 6x. .
In a right triangle with legs 3 and 4, what is the length of the hypotenuse?
5
6
7
4
By the Pythagorean theorem: c = ?(3²+4²) = ?(9+16) = ?25 = 5. This applies only to right triangles. .
What is the sum to infinity of the geometric series 2 + 1 + 0.5 + …?
4
Infinity
2
3
For |r|<1, the sum to infinity is a/(1?r). Here a=2, r=1/2: 2/(1?0.5)=2/0.5=4. .
Solve the system: x + y = 5 and x - y = 1.
x = 3, y = 2
x = 2, y = 3
x = 4, y = 1
x = 1, y = 4
Add equations: 2x = 6 ? x = 3. Substitute back: 3 + y = 5 ? y = 2. Systems can be solved by elimination. .
What is the binomial coefficient C(5, 2)?
5
15
10
20
C(n, k) = n!/[k!(n?k)!]. So C(5,2)=5!/(2!3!)=120/(2×6)=10. The coefficient counts combinations. .
What is the equation of a line with slope 2 passing through (0, 3)?
y = x + 3
y = 2x ? 3
y = 2x + 3
y = 3x + 2
Slope-intercept form: y = mx + b. Here m = 2 and point (0,3) gives b = 3, so y = 2x + 3. .
What is the determinant of the matrix [[1, 2], [3, 4]]?
10
-10
2
-2
Determinant of [[a,b],[c,d]] is ad - bc: (1×4) - (2×3) = 4 - 6 = -2. Determinants have many applications in linear algebra. .
Evaluate the integral ?2x dx.
x^2 + C
2 + C
2x^2 + C
x + C
Using power rule for integration: ?x^n dx = x^(n+1)/(n+1). Here ?2x dx = 2·(x^2/2)+C = x^2 + C. .
A number is divisible by 9 if the sum of its digits is a multiple of which number?
9
8
7
3
A number is divisible by 9 if the sum of its digits is divisible by 9. This divisibility rule simplifies large number tests. .
Simplify sin(90° - ?).
cot ?
tan ?
cos ?
sin ?
The co-function identity in trigonometry: sin(90° - ?) = cos ?. This identity relates sine and cosine. .
For f(x) = x^3, what is f?(2)?
6
4
8
12
f?(x) = 3x^2 by the power rule. At x=2, derivative = 3×(2^2) = 3×4 = 12. .
Solve 2^x = 16.
x = 2
x = 3
x = 5
x = 4
2^x = 16 ? 2^x = 2^4, so x = 4. Equating exponents works when bases match. .
What is 10! / (8! × 2!)?
720
180
90
45
10!/(8!2!) = (10×9×8!)/(8!×2×1) = (10×9)/(2) = 45. This is the binomial coefficient C(10,2). .
What is the volume of a cylinder with radius 3 and height 5? (Answer in terms of ?)
15?
45?
9?
30?
Volume = ?r²h = ?×3²×5 = ?×9×5 = 45?. Cylinder volume uses this standard formula. .
Evaluate the definite integral from 1 to e of (1/x) dx.
0
e
ln e
1
??? (1/x) dx = [ln|x|]?? = ln e - ln1 = 1 - 0 = 1. Natural log properties are used. .
Does the harmonic series ?(n=1 to ?) 1/n converge or diverge?
Converge
Conditionally converge
Oscillate
Diverge
The harmonic series diverges even though its terms approach zero. This is a classic result in series analysis. .
Compute the limit of sin(x)/x as x approaches 0.
Undefined
1
Infinity
0
Using L'Hôpital's rule or series expansion, lim??0 sin(x)/x = 1. This limit is fundamental in calculus. .
0
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Study Outcomes

  1. Apply Arithmetic Operations -

    Efficiently perform addition, subtraction, multiplication, and division calculations to tackle a variety of questions in the 100 question math test.

  2. Calculate Percentages Accurately -

    Determine percentages in different scenarios, ensuring precision when handling percentage-based problems within the Coimbatore maths quiz.

  3. Manage Time Effectively -

    Develop time-management strategies to complete 100 questions within 60 minutes and maintain a steady pace throughout the SKCT Coimbatore Question Paper challenge.

  4. Solve Problems Under Pressure -

    Build resilience and focus to quickly understand and solve problems in a timed environment, boosting confidence for future math tests.

  5. Analyze Question Patterns -

    Identify common question types and difficulty levels found in the SKCT question paper to improve preparation and performance.

  6. Evaluate Strengths and Weaknesses -

    Review quiz results to pinpoint areas of proficiency and topics requiring further practice, guiding targeted learning efforts.

Cheat Sheet

  1. Mental Arithmetic with Distributive Property -

    Master the distributive property to break complex multiplications into simpler parts, for example, compute 27×15 as (27×10)+(27×5)=270+135. This method, recommended by Khan Academy, speeds up calculations and reduces errors during your 60-minute SKCT Coimbatore maths quiz.

  2. Order of Operations (BODMAS) -

    Recall the BODMAS mnemonic ("Brackets, Orders, Division, Multiplication, Addition, Subtraction") to solve expressions systematically, e.g., 3+6×(5^2−3)=3+6×22=135. Following this rule, endorsed by MIT OpenCourseWare, ensures consistency under time pressure.

  3. Percentage Conversions -

    Convert percentages to decimals or fractions to simplify problems: 15% of 240 becomes 0.15×240=36, a technique highlighted by University of Cambridge resources. Practice quick shifts between formats to tackle varied percentage questions efficiently.

  4. Ratio and Proportion Techniques -

    Use cross-multiplication for direct and inverse proportions, for instance, if a:b=2:3 and b:c=3:4 then a:c=2:4 after scaling. This approach, recommended in NCERT textbooks, helps maintain accuracy during multi-step problems.

  5. Time, Speed, and Distance Formula -

    Remember the core formula d=rt (distance = rate×time) to solve most motion problems quickly, e.g., at 60 km/h for 2 h, distance=120 km. According to Pearson's math guides, practicing varied scenarios boosts your speed and confidence.

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