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Quizzes > Quizzes for Business > Education

Class 9 Mathematics Practice Quiz

Sharpen Algebra, Geometry and Number Skills Now

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art promoting a Class 9 Mathematics Practice Quiz.

Embark on a dynamic Class 9 Mathematics practice quiz designed to sharpen your problem-solving skills and reinforce core concepts. This math quiz blends algebra, geometry, and number theory questions for a comprehensive review. Ideal for students seeking targeted practice or a quick skills check, it offers instant feedback and score insights. You can freely modify any question in our editor to suit your learning needs and challenge yourself further. Ready to level up? Try the Class 10 Mathematics Practice Quiz or revisit the Mathematics Practice Quiz , and explore other quizzes for more exercises.

Solve the linear equation: 2x + 3 = 11.
x = 3
x = 4
x = 2
x = 5
Subtracting 3 from both sides gives 2x = 8. Dividing both sides by 2 yields x = 4.
Evaluate the expression 3a^2 when a = 2.
12
6
10
8
Substitute a = 2 into 3a^2 to get 3 × (2)^2 = 3 × 4 = 12. This is the correct evaluation.
Find the next term in the sequence: 5, 8, 11, ___.
15
12
13
14
This is an arithmetic sequence with common difference 3. Adding 3 to the last term 11 yields 14.
What is the midpoint of the points (0, 0) and (2, 4)?
(1, 2)
(2, 1)
(1, 3)
(0, 2)
The midpoint is calculated as ((0+2)/2, (0+4)/2) = (1, 2). It splits each coordinate in half.
Calculate 20% of 150.
20
50
30
15
20% means 20/100, so 20/100 × 150 = 30. This yields the correct portion.
Solve the linear equation: 3x - 5 = 16.
x = 5
x = 7
x = 3
x = 11
Adding 5 to both sides gives 3x = 21, and dividing by 3 yields x = 7.
In a right triangle with legs of length 3 and 4, what is the length of the hypotenuse?
6
7
5
√13
By the Pythagorean theorem, hypotenuse^2 = 3^2 + 4^2 = 9 + 16 = 25, so the hypotenuse is √25 = 5.
Simplify and evaluate 2(x - 3) + 4x for x = 5.
12
24
30
18
First simplify: 2x - 6 + 4x = 6x - 6. Substituting x = 5 gives 6×5 - 6 = 30 - 6 = 24.
What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...?
30
40
35
45
The nth term is a + (n-1)d = 2 + (n-1)×3. Sum of 5 terms = 5/2 × [2×2 + (5-1)×3] = 5/2 × (4+12) = 5/2 ×16 = 40.
Find the distance between the points (1, 2) and (4, 6).
6
5
√13
√34
Distance = √[(4-1)^2 + (6-2)^2] = √[3^2 + 4^2] = √(9+16) = √25 = 5.
A solution is made in a ratio of 1 part acid to 3 parts water. If the total volume is 40 mL, how much acid is present?
30 mL
20 mL
10 mL
5 mL
Total parts = 1 + 3 = 4. Acid is 1/4 of 40 mL, which equals 10 mL.
Solve for x: 2x + 3 = x - 4.
x = 1
x = -1
x = -7
x = 7
Subtract x from both sides: x + 3 = -4, then subtract 3: x = -7.
What is the fourth term of the geometric sequence with first term 2 and common ratio 3?
18
24
162
54
The nth term is 2×3^(n-1). For n=4, it is 2×3^3 = 2×27 = 54.
What is the percentage increase when a value goes from 80 to 100?
20%
30%
15%
25%
Increase = 100 - 80 = 20. Percentage increase = (20/80)×100% = 25%.
Does the point (3, 7) lie on the line y = 2x + 1?
Impossible to determine
Only if the slope changes
No
Yes
Substitute x = 3 into 2x + 1: 2×3 + 1 = 7, which equals y. Therefore the point lies on the line.
Solve the system of equations: 2x + 3y = 6 and x - y = 2.
x = 1, y = -1
x = 3, y = 0
x = 4, y = -2/3
x = 2.4, y = 0.4
From x - y = 2, x = y + 2. Substituting gives 2(y+2) + 3y = 6 ⇒5y + 4 = 6 ⇒y = 0.4 and x = 2.4.
In triangle ABC with A(3,4), B(7,1), and C(3,1), what is the length of side AB?
4
3
5
√13
Distance AB = √[(7-3)^2 + (1-4)^2] = √[4^2 + (-3)^2] = √(16+9) = √25 = 5.
Evaluate the expression (x^2 - 9)/(x - 3) for x = 5.
8
2
-
16
Factor numerator: (x-3)(x+3)/(x-3) = x+3 when x≠3. Substituting x=5 gives 5+3 = 8.
In a geometric series with a = 2 and r = 3, the sum of n terms is 242. What is n?
5
4
3
6
Sum S = a(r^n - 1)/(r - 1) = 2(3^n - 1)/2 = 3^n - 1. Setting 3^n - 1 = 242 gives 3^n = 243, so n = 5.
What is the equation of the line perpendicular to 3x - 4y + 12 = 0 passing through the point (4, -1)?
y = -(3/4)x + 13/3
4x + 3y - 13 = 0
y = (4/3)x - 13/3
3x - 4y + 13 = 0
Original slope is 3/4, so perpendicular slope is -4/3. Using point-slope: y + 1 = -4/3(x - 4), which rearranges to 4x + 3y - 13 = 0.
0
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Learning Outcomes

  1. Analyse linear equations to find unknown variables
  2. Apply Pythagorean theorem to solve geometric problems
  3. Evaluate algebraic expressions with accuracy
  4. Identify patterns in sequences and series
  5. Demonstrate understanding of coordinate geometry basics
  6. Master core concepts of ratio, proportion and percentages

Cheat Sheet

  1. Solving Linear Equations - Ready to crack the code on unknowns? Learn to isolate variables step by step and watch equations like 2x + 3 = 7 become a breeze. With practice, you'll gain confidence and speed in no time! Start your equation journey
    2. Practice on Khan Academy
  2. Applying the Pythagorean Theorem - Discover how a² + b² = c² can unlock the secrets of right triangles. Whether you're finding a missing side or proving a triangle is right-angled, this theorem is your trusty sidekick. Dive into problems and see geometry come alive! Check out the triangle magic
    3. Discover more at Math is Fun
  3. Evaluating Algebraic Expressions - Substitute values and simplify like a pro! This skill helps you make sense of functions, equations, and real-world situations. Nail the order of operations, and you'll breeze through complex expressions with style. Simplify smartly
    4. Learn on Khan Academy
  4. Identifying Patterns in Sequences and Series - Become a pattern detective by spotting arithmetic and geometric progressions. Predict future terms, solve tricky puzzles, and amaze your friends with your foresight. Mastering sequences is a shortcut to solving bigger math challenges! Spot sequence secrets
    5. Explore sequences on Khan Academy
  5. Understanding Coordinate Geometry Basics - Plot points, navigate the Cartesian plane, and calculate distances like a geometry guru. You'll map out lines and shapes, turning abstract equations into colorful graphs. It's the perfect foundation for any graphing adventure! Plot points like a pro
    6. Graph it out on Khan Academy
  6. Mastering Ratios, Proportions, and Percentages - Crack everyday math mysteries by comparing quantities and calculating percentages. From shopping discounts to scaling recipes, these concepts pop up everywhere! Practice these skills and watch your confidence soar. Balance relationships easily
    7. Practice on Khan Academy
  7. Factoring Algebraic Expressions - Break down complex expressions into bite-sized pieces with clever factoring tactics. This technique makes solving quadratics and simplifying fractions feel like child's play. Get hands-on practice and factor your way to success! Break down the tough stuff
    8. Factor with Khan Academy
  8. Understanding Linear Functions and Their Graphs - Graph lines, interpret slopes, and find intercepts to reveal relationships between variables. You'll see how changes in equations twist and turn on the coordinate plane. Get ready to visualize algebra like never before! Graph your relationships
    9. Graph on Khan Academy
  9. Solving Word Problems Involving Algebra - Turn real-life scenarios into neat equations you can solve. Practice translating words into numbers, and you'll tackle everything from age puzzles to financial planning. With each problem, your analytical superpowers grow! Translate text to equations
    10. Solve real-world scenarios on Khan Academy
  10. Understanding Properties of Exponents - Power up your skills by mastering multiplication, division, and power-to-power rules. These exponent laws simplify complex expressions and let you handle huge numbers with ease. Embrace the power and watch your math speed accelerate! Power up your math skills
    11. Master exponents on Khan Academy
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