Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Technology

Online Worksheets Practice Quiz

Enhance learning with interactive online worksheet practice

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting a 9th-grade online math worksheet challenge and test prep trivia.

What is the sum of 15 and 10?
25
35
20
30
Adding 15 and 10 gives 25. This basic arithmetic operation forms the foundation for more complex problem solving.
Solve for x: x + 5 = 10.
2
5
10
15
Subtracting 5 from both sides of the equation gives x = 5. This simple linear equation demonstrates the basic principle of isolating the variable.
What is the next number in the sequence: 2, 4, 6, ... ?
7
10
8
9
The sequence increases by 2 with each term, so after 6 comes 8. Recognizing this pattern is key to understanding number sequences.
Which operation is performed first in the expression 3 + 2 * 4?
Subtraction
Multiplication
Division
Addition
According to the order of operations (PEMDAS/BODMAS), multiplication is done before addition. This question reinforces understanding of operational hierarchy.
What is the area of a rectangle with a length of 5 and a width of 3?
10
18
8
15
The area of a rectangle is calculated by multiplying its length by its width. Here, 5 multiplied by 3 equals 15.
Solve for y in the equation 2y - 3 = 7.
6
5
4
7
Adding 3 to both sides of the equation yields 2y = 10, and then dividing by 2 gives y = 5. This illustrates a fundamental technique in solving linear equations.
If f(x) = 2x + 3, what is f(4)?
12
11
9
10
Substitute x = 4 into the function to get f(4) = 2(4) + 3 = 11. This reinforces the concept of evaluating functions at specific values.
Simplify the expression: 3(x + 4) - 2x.
x + 12
5x + 12
5x + 4
x + 4
Distributing 3 into (x + 4) gives 3x + 12, and then subtracting 2x results in x + 12. This question tests knowledge of the distributive property and combining like terms.
Which point is the midpoint of the segment connecting (2, 3) and (6, 7)?
(5, 5)
(3, 4)
(4, 5)
(4, 6)
The midpoint formula involves averaging the x-coordinates and y-coordinates separately: ((2+6)/2, (3+7)/2) yields (4, 5). This concept is essential in coordinate geometry.
Solve for x: 3x/2 = 9.
12
3
9
6
Multiplying both sides by 2 gives 3x = 18, and dividing by 3 results in x = 6. This problem reinforces solving equations that involve fractions.
What is the slope of the line passing through the points (1, 2) and (4, 8)?
1
4
3
2
Slope is calculated as the change in y divided by the change in x: (8 - 2) / (4 - 1) = 6/3 = 2. This basic concept is fundamental in understanding linear relationships.
Solve the inequality: 2x + 3 < 11.
x ≤ 4
x > 4
x = 4
x < 4
Subtracting 3 from both sides gives 2x < 8, and dividing by 2 results in x < 4. This problem requires understanding of isolating variables in inequalities.
Which of the following best represents the distributive property?
a(b + c) = ab + ac
a(b * c) = (ab) * c
a + (b + c) = (a + b) + c
a(b + c) = a*b + a + c
The distributive property states that multiplying a sum by a number is equivalent to multiplying each addend individually by the number and then summing the products. This is a core principle in algebra.
If the probability of an event occurring is 0.2, what is the probability of it not occurring?
1.0
0.2
0.8
0.5
The probability of an event not occurring is found by subtracting the event's probability from 1, hence 1 - 0.2 = 0.8. This problem demonstrates the concept of complementary probability.
Find the value of x in the proportion 4/8 = x/12.
6
7
5
4
Simplify 4/8 to 1/2; then setting up the proportion x/12 = 1/2 shows that x = 6 after cross-multiplying. This reinforces the concept of proportions.
What is the product of the solutions for the quadratic equation x² - 5x + 6 = 0?
8
5
6
10
For a quadratic equation in the form ax² + bx + c = 0, the product of its solutions is given by c/a. Here c = 6 and a = 1, so the product equals 6.
A triangle has sides of lengths 7, 24, and 25. What type of triangle is it?
Right triangle
Acute triangle
Equilateral triangle
Obtuse triangle
The side lengths satisfy the Pythagorean theorem since 7² + 24² = 49 + 576 = 625, which is equal to 25². This confirms that the triangle is right-angled.
If the function g(x) = x³ - 4x, what is g'(x), the derivative of g(x)?
x² - 4
3x² + 4
3x² - 4
3x - 4
Taking the derivative of g(x) term by term, the derivative of x³ is 3x² and the derivative of -4x is -4, resulting in g'(x) = 3x² - 4. This question tests fundamental differentiation rules.
Find the sum of the infinite geometric series with a first term of 3 and a common ratio of 1/2.
3
9
6
12
The sum of an infinite geometric series where |r| < 1 is given by a/(1 - r). Here, a = 3 and r = 1/2, so the sum is 3/(1 - 1/2) = 6.
What is the value of log₂(8) + log₂(4)?
5
6
7
4
Calculating each term separately, log₂(8) equals 3 since 2³ = 8 and log₂(4) equals 2 because 2² = 4, so their sum is 3 + 2 = 5. This utilizes the basic properties of logarithms.
0
{"name":"What is the sum of 15 and 10?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"What is the sum of 15 and 10?, Solve for x: x + 5 = 10., What is the next number in the sequence: 2, 4, 6, ... ?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Analyze interactive math problems to identify key concepts.
  2. Apply problem-solving strategies to dynamic test questions.
  3. Synthesize multiple approaches to tackle complex quiz items.
  4. Evaluate performance to pinpoint areas for future improvement.

Online Worksheets Cheat Sheet

  1. Master the Pythagorean Theorem - In any right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides, making it your secret weapon for unlocking unknown lengths. Think of it like the ultimate right‑triangle cheat code - use it, and you'll breeze through geometry challenges in no time! Toppers Bulletin: Grade 9 Math Formulas
  2. Understand the Distance Formula - Calculate the straight‑line journey between two points \((x_1,y_1)\) and \((x_2,y_2)\) using \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\). It's really just Pythagoras in disguise on the coordinate plane, helping you measure distances effortlessly. Perfect for conquering coordinate geometry with confidence! Toppers Bulletin: Grade 9 Math Formulas
  3. Learn the Slope Formula - Determine how steep or flat a line is with \(m=\frac{y_2-y_1}{x_2-x_1}\), your go‑to for analyzing direction and rate of change. Picture it as your graph‑climbing tool - whether you're scaling hills or decoding real‑world data patterns, slope has your back! Toppers Bulletin: Grade 9 Math Formulas
  4. Apply the Quadratic Formula - Solve any quadratic equation \(ax^2+bx+c=0\) with \(x=\frac{-b\pm\sqrt{b^2-4ac}}\), even when factoring fails. Treat it like a mathematical Swiss Army knife - pull it out for roots in a flash and watch those parabolas bow to your will! Toppers Bulletin: Grade 9 Math Formulas
  5. Explore the Law of Sines - Crack non‑right triangles using \(\frac{\sin A}=\frac{\sin B}=\frac{\sin C}\), turning tricky shapes into solvable puzzles. Whether you're mapping out navigation or designing cool structures, this law is your triangle detective. Toppers Bulletin: Grade 9 Math Formulas
  6. Understand the Law of Cosines - Generalize Pythagoras with \(a^2=b^2+c^2-2bc\cos A\) to find mysterious sides or angles in any triangle. It's perfect for when triangles refuse to be right‑angled, adding that extra cosine twist to your geometry toolkit! Toppers Bulletin: Grade 9 Math Formulas
  7. Grasp Exponential Growth and Decay - Model real‑world phenomena like populations or cooling processes with \(A=A_0e^\), where \(k\) sets the pace of the boom or bust. It turns skyrockets and slow fades into predictable graphs - science and math, all in one fun formula! Toppers Bulletin: Grade 9 Math Formulas
  8. Familiarize with Heron's Formula - Compute the area of any triangle when heights play hide‑and‑seek: \(\text=\sqrt{s(s-a)(s-b)(s-c)}\) with \(s=\frac{a+b+c}\). No altitude? No problem - Heron's formula has you covered like magic! BYJU's Class 9 Math Formulas
  9. Learn Surface Area and Volume Formulas - Dive into 3D shapes with formulas like \(V=\pi r^2h\) for cylinder volume, and surface area rules for wrapping up shapes. Whether you're painting a sphere or filling a cone, these equations help you measure every nook and cranny! BYJU's Class 9 Math Formulas
  10. Understand Mean, Median, and Mode - Become a data detective by finding the average (mean), the middle value (median), and the most frequent entry (mode) in any set. These stats superheroes turn raw numbers into clear insights - perfect for everything from test scores to snack surveys! BYJU's Class 9 Math Formulas
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Technology Quizzes

Powered by: Quiz Maker