Questions 1-5 below ###Q1 A cube of side (4 , text{cm}) contains a sphere touching the sides. Find the volume of the gap in between. ### Q2 The circumference of the base of a cone is (frac{220}{7} , text{cm}) and its slant height is (13 , text{cm}). Find the volume of the cone. ### …
In the realm of mathematics, there are several numerical systems and operations that form the foundational blocks of more complex concepts. As we dive into these topics, we’ll get acquainted with numbers in their rawest forms and the basic operations that define them. 1. Natural Numbers and Integers Natural Numbers (N): The building blocks of …
Math Solutions 1-10 1. Find the smallest number which should be added to the largest 7-digit number to make it exactly divisible by 23. The largest 7-digit number is 9,999,999. When divided by 23, the remainder is 18. To make it divisible by 23, add 23 – 18 = 5. So, 5 should be added. …
Generated Questions 1. Find the smallest number which should be added to the largest 7-digit number to make it exactly divisible by 23. 2. Mark three non-collinear points X, Y, Z. Draw lines through these points taking two at a time. Name the lines. How many such different lines can be drawn? 3. How many …
Question 1 – Solution a) The maximum number of books that can be arranged on each shelf without mixing genres is the highest common factor (HCF) of 36, 54, and 90. HCF = 18. b) Drama books = 36/18 = 2 shelves, History books = 54/18 = 3 shelves, Science books = 90/18 = 5 …
Math Questions Question 1 The school library has 36 Drama books, 54 History books, and 90 Science books to be placed on shelves. a) What is the maximum number of books that can be arranged on each shelf without mixing genres? b) How many shelves are needed if each shelf contains the maximum number of …
Benefits of Blurting Methods Blurting Methods in Education Blurting, when managed correctly in a classroom, can serve as an asset rather than a disturbance. Here are some benefits: Benefits: Spontaneous Participation: It encourages students to actively participate without overthinking. Real-time Feedback: Teachers get immediate insights into what students are thinking. Boosts Confidence: Helps students overcome …
Why Doodling Helps Students Enhances Focus: Contrary to the common misconception that doodlers are not paying attention, doodling can help maintain arousal and alertness during boring tasks, thereby helping students stay focused. Improves Memory Retention: A study conducted by Professor Jackie Andrade from the University of Plymouth in 2009 found that people who doodled while …
How to Learn Doodling Start Simple: Begin with basic shapes like circles, squares, triangles, and lines. Familiarize yourself with creating them freely and comfortably. Practice Regularly: Like any art form, doodling improves with consistent practice. Dedicate a few minutes daily to doodle on scrap paper, margins of your notebooks, or even dedicated sketchbooks. Expand Your …
Perfect Numbers What is a Perfect Number? A perfect number is a positive integer that is equal to the sum of its proper divisors, excluding itself. Example: The first perfect number is 6 because its divisors are 1, 2, and 3; and 1 + 2 + 3 = 6.
