Exam Style Questions and High-Quality Resources
Leverage Expertise and Technology to Ace Your Exam !
Exam Style Questions & Study Resources
What Our Students & Teachers Have to Say
Peter / San Jose, USA
"iitianacademy helped me clear my doubts in science & mathematics. The iitianacademy faculty is very good. Exam Style Questions and High Quality Resources Studying on this app is super fun and this has helped me perform better in my exams. Thank You iitianacademy !!!”
Ayse O / Switzerland
"The learning Materials designed by iitianacademy is a huge boon to students like us. It is like having a teacher with you 24/7. The app is very informative and the quality of the teachers are very good."
Ji Shen / Canada
"iitianacademy has been an excellent experience for me. The teachers at iitianacademy has always given me the confidence to achieve my goals. Their unique style of teaching and explaining the subjects make every concept simple and easy."
Gale / United Kingdom
"I have been using the learning app for a long period of time now. The concepts, illustrations and overall explanations are very detailed and second to none. The app has helped me nail the basics to perfection. It is just perfect for us and I just can’t stop loving this app!"
Maryam Jafri/ San Jose, USA
"I’m a Mathematics teacher, and I just wanted to appreciate the effort you’ve put into helping IB DP students. I was searching for some good notes to refer my students to for MAI, and luckily, I found your site through Google. Truly speaking, these are the best notes I’ve seen so far for MAI.”
Trusted By Many
OFFERING
USED IN
REGISTERED USERS
What makes IITianAcademy Unique
Exam Style Questions
IITianAcademy has Exam Style Questions and High Quality Resources for each and every topics of the Course. It helps students practice questions for each topics , hence makes you ready for actual exam and also assessments exams in between. Topic wise – exam style question will help to check if you need to revise the topic again or you are good to go.
Past Papers
Past papers are available with detailed step by Step Solutions. Questions are modified as will in some places for making it little different so that students can have them to test preparedness for actual exam. It will help in identifying the weak area in advance and hence modify study plan to improve in this area.
Revision Notes
Revision notes at IITianAcademy are prepared by Alumni Student of the Couse, Teachers and Subject Matter Experts. Technology is used everywhere , to make it more Students friendly. Utmost focus is given on making notes to enhance understanding of the topics. These notes not only enhance your memory but also help in identifying knowledge gap and filling it.
Time bound Online Practice Exam
For Multiple Choice Questions , IITianAcademy has developed a tool to create exam style environment to test your speed , accuracy and understanding of the course. We have tried to simulate exam conditions to test your preparedness . It will not only help improve your time management but also identify area of improvement and hence will Boost Your Confidence.
Exam Style Questions and High Quality Resources including Flashcards and Past Papers
Resources like exam-style questions, flashcards, and other study aids is a great way to reinforce learning and prepare for exams. Expect to find all relevant Exam Style Questions and High Quality Resources including Flashcards , Study notes and Past Papers solution at IITian Academy
Questions-A.1 Kinematics SL Paper 1
A block of mass \(2.0 \mathrm{~kg}\) accelerates uniformly at a rate of \(1.0 \mathrm{~m} \mathrm{~s}^{-2}\) when a force of \(4.0 \mathrm{~N}\) acts on it. The force is doubled while resistive forces stay the same. What is the block’s acceleration?
A. \(4.0 \mathrm{~ms}^{-2}\)
B. \(3.0 \mathrm{~m} \mathrm{~s}^{-2}\)
C. \(2.0 \mathrm{~m} \mathrm{~s}^{-2}\)
D. \( 1.0 \mathrm{~ms}^{-2}\)
▶️Answer/Explanation
Ans:B
We can use Newton’s second law to find the initial resistive force (\(R_1\)) and the final resistive force (\(R_2\)):
1. For the initial case (\(F_1\)), the net force (\(F_{\text{net}_1}\)) is responsible for the initial acceleration (\(a_1\)):
\[F_{\text{net}_1} = F_1 – R_1 = m \cdot a_1\]
Solving for \(R_1\):
\[R_1 = F_1 – m \cdot a_1\]
\[R_1 = 4.0 \, \mathrm{N} – (2.0 \, \mathrm{kg} \cdot 1.0 \, \mathrm{m/s^2}) = 4.0 \, \mathrm{N} – 2.0 \, \mathrm{N} = 2.0 \, \mathrm{N}\]
So, in the initial case, the resistive force (\(R_1\)) is \(2.0 \, \mathrm{N}\).
2. For the final case (\(F_2\)), the net force (\(F_{\text{net}_2}\)) is responsible for the final acceleration (\(a_2\)):
\[F_{\text{net}_2} \Rightarrow F_2 – R_1 = m \cdot a_2\]
Solving for \(a_2\):
\[2.0 \, \mathrm{kg}\cdot a_2 = 8.0 \, \mathrm{N} – 2.0 \, \mathrm{kg} \]
\[6.0 \, \mathrm{N} = 2.0 \, \mathrm{kg} \cdot a_2\]
\[a_2 = 3.0 \, \mathrm{m/s^2}\]
[qdeck ” ]
[h] IB Mathematics AA HL Flashcards- Standard Form
[q] Standard form
A number in the format , \( \pm a \times10^k \) , where \(1\leqslant a\leqslant 10 \) and \(k\in Z\) (k is an integer)
Number in the form \(a \times 10^ k\) such as \(4.7 \times 10^5\) instead of 475,000 may be called Specific notation or Standard form or not given any specific name.
[q]
CONDITIONS // The number 470,000 could theoretically be written: \( 4.7 \times 10^5 \), \( 47 \times 10^4 \), \( 0.47 \times 10^6 \), and so on. However, to simplify things, we say that ‘a’ & ‘k’ must have the following:
– \( 1 \leq |a| < 10 \)
– \( k \in \mathbb{Z} \)
Meaning: ‘a’ is between 1 and 10 (+ve or -ve), and ‘k’ is an integer.
[a]
E.G.1 // \( 5 \times 10^{3.2} \): NOT in the correct form (k is not an integer)
E.G.2 // \( 0.89 \times 10^{-4} \): NOT, because \( a < 1 \). Should be: \( 8.9 \times 10^{-5} \)
E.G.3 // \( 2.3 \times 10^8 \): ✓, this means 230,000,000
[q]
GENERAL USAGE // This format of writing numbers is frequently used in science, where we want to save time by avoiding writing very large or very small numbers in full. For example, the width of an atom is ~\( 3 \times 10^{-10} \) m.
[a]
I.B. MATH USAGE // It is extremely unlikely that you will ever see a standalone question about this. Far more likely is to see this used as a small element of a question on some other topic.
[q]
E.G.4 // Find \( x \) (in the form \( a \times 10^k \), \( 1 \leq a < 10 \), \( k \in \mathbb{Z} \))
Using sine rule:
\[
\frac{x}{\sin 21^\circ} = \frac{1.6 \times 10^7}{\sin 57^\circ}
\]
Solving for \( x \):
\[
x = 0.834 \times 10^7
\]
Change to correct form:
\[
x = 8.34 \times 10^6
\]
[q] Notes on GDC
[a]
[q] Standard Form – Solved Examples 1
The diameter of a spherical planet is 6 × 104 km .
(a) Write down the radius of the planet. [1]
The volume of the planet can be expressed in the form π(a × 10k) km3 where 1 ≤ a <10 and k ∈ \(\mathbb{Z}\)
(b) Find the value of a and the value of k .
[a] Answer – Solved Examples 1
(a) \(3 \times 10^4\)
(b) \(\frac{4}{3}\pi(3 \times 10^4)^3\)
\(=\frac{4}{3}\pi\times 27 \times 10^{12}\)
\(=\pi(3.6 \times 10^{13})(km)^3\)
Hence
\(a= 3.6 \) , \(k =13\)
[x] Exit text
(enter text or “Add Media”; select text to format)
[/qdeck]
E. Water: The Versatile Molecule
➢ In water, electrons are not shared equally in the bonds between hydrogen and oxygen
- Hydrogen atoms have a partial positive charge while oxygen atoms has a partial negative charge
■ Water is polar
➢ Hydrogen bonds
- Weak attractions that result of water’s polarity
■ Positive end of another polar molecule attracted to oxygen negative charge, and vice versa with the hydrogen end
■ Hydrogen atom covalently bonded to one electronegative atom is also attracted to another electronegative atom
■ Weak Individually, but strong on a larger scale
- Lends watermany special properties
■ Cohesion
● Tendency for water to stick to water
● Important during transpiration - Water evaporates, pulls other water molecules with it, pulling all the way down from leaves to roots
■ Adhesion
● Tendency of water to stick to other substances
● $\text{Cohesion + Adhesion =}$ capillary action - Allows water to flow up roots/trunks/branches of trees in thin vessels
■ Surface tension
● Results from cohesion of water molecules
● Ex. water striders can sit on top of water without sinking
■ High heat capacity
● Heat Capacity=ability of a substance to resist temperature changes
● Keeps ocean temperatures stable
● Allows organisms to keep constant body temperature, since most life
forms are mostly made up of water
● Heat is absorbed when hydrogen bonds break, released when hydrogen bonds form
■ High heat of vaporization
● Heat a liquid must absorb for 1g to be converted to gas
● Evaporative cooling - As a liquid evaporates, its remaining surface cools
■ How sweat works to cool body down
■ Expansion on freezing
● Lattice structure of ice causes water to expand on freezing
● Allows ice to float on top of lakes in winter - Animal life can live beneath ice
■ Versatility as a solvent
● Solution is a liquid that is a homogenous mix of substances
● Solvent is the dissolving agent of a solution
● Solute is the substance that is dissolved
● Aqueous solution is one where water is the solvent
● Polarity of water allows it to be a versatile solvent - Can form hydrogen bonds easily
● Hydrophobic substances do not dissolve in water, but hydrophilic ones will