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Quizzes > Quizzes for Business > Education

Ultimate Math and General Knowledge Quiz

Sharpen Skills with Math and Trivia Questions

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to a Math and General Knowledge Quiz.

Hello, quiz lovers! Dive into this engaging Math and General Knowledge Quiz to warm up your brain and master essential concepts. Ideal for curious minds, this quiz blends arithmetic challenges from our Math Assessment Quiz with trivia rounds inspired by the General Knowledge Quiz. After completing it, you'll boost problem-solving skills and have fun discovering new facts. Plus, you can freely customize any question in our editor - explore other quizzes to keep the learning going!

What is 7 + 5?
11
10
12
13
Adding 7 and 5 gives a total of 12. This is a basic arithmetic addition problem combining two numbers.
Which shape has four equal sides and four right angles?
Parallelogram
Rectangle
Square
Rhombus
A square has all four sides equal in length and each interior angle is 90 degrees. Other quadrilaterals do not satisfy both conditions simultaneously.
What is the capital city of France?
Madrid
Paris
Berlin
Rome
Paris is the capital city of France and is known for landmarks like the Eiffel Tower. It serves as the political and cultural center of the country.
What is 9 × 3?
27
21
18
24
Multiplying 9 by 3 results in 27. This follows the multiplication principle of repeated addition.
Which number is the next prime after 7?
9
12
11
10
Prime numbers have only two divisors: 1 and themselves. After 7, the next integer that meets this criterion is 11.
Solve for x: 2x + 5 = 13.
3
6
5
4
Subtracting 5 from both sides gives 2x = 8, and then dividing by 2 yields x = 4. This uses basic algebraic isolation of the variable.
What is the area of a triangle with base 8 units and height 5 units?
30
40
13
20
The area formula for a triangle is 1/2 × base × height, so 1/2 × 8 × 5 = 20. This computes the space enclosed by the triangle.
What is the missing number in the sequence: 2, 4, 8, 16, __?
24
20
32
18
Each term in the sequence is double the previous term. Doubling 16 gives 32 as the next value.
What is 15% of 200?
25
30
20
35
15% means 15 out of every 100, so 0.15 × 200 = 30. This uses basic percentage calculation.
Who wrote the play 'Romeo and Juliet'?
Charles Dickens
Mark Twain
William Shakespeare
Jane Austen
William Shakespeare is the English playwright who wrote 'Romeo and Juliet' in the late 16th century. It is one of his most famous tragedies.
What is the value of 3^4?
81
27
64
72
3 to the fourth power means 3 × 3 × 3 × 3, which equals 81. Exponents represent repeated multiplication.
In a triangle, two angles measure 45° and 65°. What is the measure of the third angle?
80°
60°
75°
70°
The sum of angles in a triangle is 180°. Subtracting 45° and 65° from 180° leaves 70° for the third angle.
Convert the fraction 3/4 to a decimal.
0.75
1.25
0.5
0.25
Dividing 3 by 4 yields 0.75. Converting fractions to decimals involves performing the division.
What is the smallest two-digit prime number?
11
10
13
12
A two-digit prime number is one with exactly two digits and only divisible by 1 and itself. The smallest such number is 11.
Which planet is known as the Red Planet?
Mars
Venus
Saturn
Jupiter
Mars is called the Red Planet due to iron oxide on its surface, which gives it a reddish appearance. This is a common astronomical nickname.
Solve for x: 3(x - 2) = 2x + 5.
-11
9
1
11
Expanding gives 3x - 6 = 2x + 5. Subtracting 2x and adding 6 yields x = 11. This applies distribution and basic algebra.
What is the length of the hypotenuse of a right-angled triangle with legs of length 6 and 8?
12
14
10
9
By the Pythagorean theorem, hypotenuse² = 6² + 8² = 36 + 64 = 100, so the hypotenuse is √100 = 10.
What is the sum of the first 10 positive integers?
50
45
55
60
The formula for the sum of the first n integers is n(n+1)/2. For n=10, this gives 10×11/2 = 55.
In a geometric sequence, the first term is 3 and the common ratio is 2. What is the 5th term?
32
24
96
48
The nth term is given by a·r❿❻¹. Here, a=3, r=2, n=5, so the term is 3×2❴ = 48.
Who developed the theory of general relativity?
Galileo Galilei
Albert Einstein
Isaac Newton
Nikola Tesla
Albert Einstein published his theory of general relativity in 1915, revolutionizing our understanding of gravity. His work built on and extended Newtonian physics.
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Learning Outcomes

  1. Apply arithmetic and algebra skills to real-world problems.
  2. Analyse numerical patterns and geometric relationships effectively.
  3. Identify crucial facts and concepts in general knowledge.
  4. Evaluate answers critically to ensure accuracy.
  5. Master core math principles and trivia essentials.
  6. Demonstrate improved problem-solving speed and confidence.

Cheat Sheet

  1. Master the Pythagorean Theorem - In any right-angled triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse (a² + b² = c²). This magical rule helps you calculate distances, map out shapes, and ace your homework with precision. visitmath.eu
  2. Utilize the Quadratic Formula - When quadratics strike, plug into x = (-b ± √(b² - 4ac)) / (2a) to reveal the mysterious roots hiding in ax² + bx + c = 0. It's like a treasure map that always leads you to the solution, even when coefficients confuse you. visitmath.eu
  3. Apply the Distance Formula - Find out how far apart (x₝, y₝) and (x₂, y₂) are by calculating √((x₂ - x₝)² + (y₂ - y₝)²). This equation transforms the coordinate plane into an explorer's playground, perfect for graphing and geometry challenges. visitmath.eu
  4. Understand the Slope Formula - Compute the steepness of a line through two points with m = (y₂ - y₝) / (x₂ - x₝). With slope in hand, you can decode linear patterns, craft perfect graphs, and predict trends like a math wizard. visitmath.eu
  5. Remember the Area of a Circle - Circle magic happens when you compute A = πr², where r is the radius. This friendly formula is your gateway to calculating pizza slices, wheel surfaces, and anything round with confidence. visitmath.eu
  6. Know the Circumference of a Circle - Measure around a circle with C = 2πr to understand perimeters that loop back on themselves. Whether it's a racetrack, a pizza boundary, or planetary orbits, this formula keeps you in the loop. visitmath.eu
  7. Explore Exponential Growth and Decay - y = a·e^(kt) models everything from booming populations to fading radioactive elements in science and finance. It's like watching numbers do a dance - sometimes they skyrocket, other times they gently fade. visitmath.eu
  8. Discover the World's Oldest Operating Library - Saint Catherine's Monastery in Egypt stocks manuscripts from the 4th century, offering a time-travel ticket to ancient scholarship. It's a living library that bridges history and the modern mind. news.abplive.com
  9. Learn About Earth's Shape - Our planet is not a perfect sphere but an oblate spheroid, bulging at the equator and squished at the poles due to rotation. This quirky shape influences satellite orbits and global measurements. news.abplive.com
  10. Understand the Smell of Rain - Petrichor is the earthy perfume you inhale after rain, created by oils released from soil and plants. It's nature's way of saying "refresh" and can instantly brighten your mood. news.abplive.com
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