This document contains a multi-part math exam covering several topics:
1) Questions involving natural numbers, fractions, and scientific notation.
2) A word problem modeled with a system of equations about discounted prices of items.
3) Comparing two lunch offers in terms of price per meal and determining the most advantageous offer for different numbers of meals per month.
4) Geometry problems involving properties of triangles, circles, and coordinate geometry.
5) Additional geometry problems involving tangent lines, perpendicular bisectors, loci, and circle properties.
Summative assessment -I guess papers for class-ixAPEX INSTITUTE
Grooming at the APEX INSTITUTE is done methodically focusing on understanding of the subject, tricks of tackling the questions and above all enthusing students with self confidence, ambition and a 'never say give up' spirit. As secrets of success these are no substitutes for hard work and patience.
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class IX, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Four Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
Examen du premier semestre g9
1. CCS
Mathematics
Class of G9
Exam of
semester
Nom :…………………………………..
I.
23 Dec. 2013
Duration : 120 min
(3 points)
Consider the four numbers A, B , C and D.
,
,
and
In the following questions all the steps of calculations must be shown :
1) Prove that A is a natural numbers.
2) Write B in the form of fraction in simplest form.
3) Prove that C is a decimal number.
4) Give the scientific form of D.
II.
(2 points)
A bookshop offers a 10 % discount on its articles.
The sum of original prices of a pen and an agenda is three times the original price of the pen.
The sum of prices of the pen and the agenda after discount is 54 000 LL.
1) Model the previous information into a system of two equations with two unknowns.
2) Solve this system and find the original price of a pen and that of an agenda.
III.
(2 points)
A restaurant proposes to its customers two offers for lunch:
Offer A: Monthly subscription of 200,000 LL.
Offer B: 11,000 LL per meal.
1) Yara takes 20 meals per month. What is the offer that most advantageous for Yara? Justify.
2) Youssef takes 10 meals per month. What is the offer that most advantageous for Youssef?
Justify .
3) Let x be the number of meals per month. Find in the terms of x, the price with both offers.
4) By solving an inequality, indicate the number of meals which offer B is the most advantageous.
IV.
(3 points)
Given a rectangle ABCD such that AB= 5 cm and AD= 4 cm, Let M be a point of [AB] such
that BM= 2cm.
1) Calculate DM.
2) Deduce that the triangle DMC is isosceles.
3) Let I be the midpoint of [MC]. Prove that 4 points A, M, I and D belong to the same circle
which its center is to be determined and calculate its radius.
4) Calculate MC , MI.
Page 1 of 2
2. V.
(5 points)
In an orthonormal system of axes, x'Ox and y'Oy, consider the line (D) with equation y = -2x-3
and the two points A (-2 ; 1) and B (6 ; 5).
1) Verify that (D) passes through A.
2) Plot A and B and draw (D).
3) Determine the equation of (AB) and deduce that (D) is perpendicular to (AB).
4) The line (D) intersects y'Oy at C. Find the coordinates of C.
5) Let (S) be the circle circumscribed about the triangle ABC.
I is the center of this circle . Calculate the coordinates of I.
6) The line (D') is the parallel through C to (AB) . (D') intersects the circle (S) at another point E.
a. What is the nature of the quadrilateral ABEC? Justify.
b. Calculate the coordinates of the point E.
c. (d) is the tangent at A to (S). Find the equation of (d).
VI.
1)
2)
3)
4)
5)
(5 points)
In the adjacent figure we have :
(C ) is a circle of center O and diameter
[AB].
OA= OB= 3 cm.
P is a point of [AB) such that OP= 5 cm.
E is a point of ( C) such that EP= 4 cm.
(D) is tangent in A at (C ).
(PE) cuts (D) in J.
Reproduce the figure.
Prove that (PE) is tangent at (C ) in E. Deduce that
JE= JA.
Let JE= JA= and JP=
where is a unit of
cm.
a. Apply Pythagoras theorem in the triangle APJ
for calculating .
b. Deduce that ABJ is a right isosceles triangle.
(JB) cuts ( C) in another point F. Prove that F is the midpoint of [BJ] and (FO) is the
perpendicular bisector of [AB].
Let N be the midpoint of [MB]. Find the locus N where M varies on (C).
GOOD WORK.
Page 2 of 2