Andrew's IB Maths Vault

Hiya! This is the second test in the Unit Test v2.5 series! Today we're going to test your understanding in integration. As usual, if you can't answer every single question, that's absolutely fine and frankly, to be expected. But you should be able to solve the basic questions on the test if you're on track for a 4/5.  SL integration covers integration techniques, kinematics and finding area between curves. HL integration covers more integration techniques (integration by parts, partial fractions) as well as various applications. Best of luck!  AAHL: AAHL MS: AASL: AASL MS: If you're looking for more personalised support, don't hesitate to reach out and complete the form ! I'm @adventurousandrew on Discord.       Andrew  

Hiya! After a month's hiatus, I'm now back with the unit tests on integration. If you haven't checked out the new YouTube channel , please give it a like and subscribe! c; Today's tests cover integration techniques, definite integrals and applications of integration, including but not limited to finding areas and kinematics. The HL tests cover HL integration techniques (integration by parts, more advanced substitution and trigonometric substitution), as well as HL applications (volume of revolution, reduction formula and an introduction to improper integrals). Note that you have 90 minutes (instead of 1h) to answer all the questions. Take your time... but also don't!  If you're looking for more personalised support, don't hesitate to reach out and complete the form ! I'm @adventurousandrew on Discord. AAHL: AAHL MS: AASL: AASL MS: Until next time! Andrew  

What better way to start the year than a couple unit tests! Today I'm back with two unit tests on Integration! Different from v2.2, HL students only have to take one single test that lasts 90 minutes. The SL papers contain questions on indefinite integrals, u-substitution, definite integrals and area between curves. The HL papers contain questions on all integration techniques and applications. AAHL:   AAHL MS:   AASL:   AASL MS: May the odds be ever in your favour. c:  

Hey there kiddos! M24 exam series is just over. I had a look at the papers and frankly, if you've been studying hard and using all the resources I have to offer I'd say you can land a 7 without too much effort. I am now back with the second part of the calculus trio - Integration. For best results, AAHL students need to take both the SL and the HL papers. I personally think there's too much stuff that a single paper for HL wouldn't do it justice, though the test is just 30 minutes longer than the differentiation one. Without any further ado, let's get this bread. AASL: AASL Answers: AAHL: AAHL Answers:

Hello hello hello! I took quite a chonky break from posting on this site. Mostly because I didn't have time to write tests and such throughout the term, and also because last semester was particularly taxing mentally and physically. In the mean time though, I've cooked up a revised version for the list of assessments for AA students. The biggest difference though: a change in the grading scheme. Instead of your good ol reliable A/E system, we now divide the category into 5 - N1, A2, A3, E4, E5. More details can be found in the MS. Note that the AAHL exam is 90 minutes long instead of the usual 60 minutes. Without any further ado: AAHL paper: AASL paper:   AAHL Answers: AASL Answers:

Fourth collection of unit tests: calculus. Occasionally featuring questions from endless inspirational sources. Answers included.   Version 1 Differentiation (AASL/AAHL) : basics of differentiation and applications. An extra 30-minute test for AAHL kiddos. Integration (AASL) : techniques of integration, definite integrals and area between curves. Integration (AAHL) : similar to HL, just more stuffs. DE and power series (AAHL) : finishing up the calculus section Differentiation and Integration (AIHL) : non-differential-equation part of AIHL. Version 2 Integration (AASL and AAHL) [v2]  - MORE PRACTICE! Differentiation (AASL and AAHL) [v2]   Version 2.2 Integration [v2.2]  - The people demanded more! Differentiation [v2.2] - all SL/HL differentiation content. Further calculus [v2.2] - First order differential equations and Maclaurin  Version 2.3 Differentiation [v2.3] - all SL/HL differentiation content. Integration [v2.3]   - all SL/HL integration conten...

Here are two  tests on AIHL Differentiation and Integration with MS! Although it seems like I've neglected you guys since I keep throwing stuff out about AA courses, you're still on the back of my mind. Writing these tests are quite tricky because I'm always playing on the edge - a creative spin can throw a question out of the syllabus. Usual TOCs apply. Credit to AdventurousAndrew#7499.

Here's a test I've written on AASL Integration. Give yourself an hour to take this test and mark yourself against the mark scheme. Good luck! NB:   You may notice that the majority of questions showed up on the AAHL test. This is a deliberate decision, as I expect all AAHL students have a solid grasp of AASL topics. It also makes my life a lot easier when I don't have to recreate the test questions and their mark schemes because students are only allowed to take one (1) maths course in their IB DP. Content - Integrals of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. - Linear expansions of the aforementioned functions. - Integration by substitution. - Definite integrals and their properties. - Area between a curve and the coordinate axes, area between curves. Information - This test has four sections: Basics of integration Definite integrals and knowing when to differentiate/integrate Area and other applications To "pass" t...

Here's a test I've written on AAHL Integration. Give yourself an hour to take this test and mark yourself against the mark scheme. Good luck! Content - Integrals of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. - Linear expansions of the aforementioned functions. - Integration by substitution. - Definite integrals and their properties. - Area between a curve and the coordinate axes, area between curves. - Volume of revolution. - Integration by parts and integration by partial fractions. Information - This test has four sections: Basics of integration Definite integrals and knowing when to differentiate/integrate Area and volume Techniques of integration To "pass" this test, you need to pass each  module. This ensures that you know the fundamentals across the topics covered in this unit. Marking Read the first page carefully for more information. Each question is marked as an 'a' (basic question) or an 'e' (hard...