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20 questions · 45 min · Answer key Building your exam…Exam ready

IB Math AA · Geometry & integrals

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Plan the exam · 20 questions
Write questions and solutions20/20
Draw exact figures and graphs6/6
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Q1Multiple choice · IntegrationFind the area of the region between y = x² and y = x + 2 (shaded).A92B52C72D112y = x²y = x + 2
Q2Multiple choice · 3D geometryPyramid S.ABCD has a square base of side a, SA ⊥ (ABCD) and SA = a√2. Find its volume.Aa³√23Ba³√2Ca³√26Da³3
Q3Multiple choice · FunctionsFind the maximum of y = x³ − 3x + 1 on [0, 2].
Q4Short answer · IntegralsCompute ∫10(3x² + 2x) dx.

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Cambridge IGCSE Biology Standard Assessment

45minutes

10questions

20points

Cambridge IGCSE Biology Standard Assessment44:39

6.3 points · Part 2Mark

The high-resolution anatomical illustration shows a transverse section through a dicotyledonous leaf.

State the exact tissue layer in the leaf that contains the highest density of chloroplasts for photosynthesis.

Palisade mesophyll

7.3 points

8.3 points

9.3 points

10.3 points

Question 6/10

Result

17out of 20 · 85%

Graded automatically

By part

Part 1 · Multiple choice4/5

Part 2 · Short answer13/15

Correct8/10 questions

Time taken32 min

Submitted5:46 PM

9:41

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IELTS AcademicSection 2: ReadingSection 3: WritingSection 2: ReadingSection 1: ListeningSection 4: Speaking

41:0716:4238:5524:1808:36Submit

Part 1Read the text and answer questions 1–13.

Passage 3

636 words~4 min read

Ocean Thermal Energy Conversion

C In modern OTEC engineering, the most thermodynamically viable design is the closed-cycle system. Within this architecture, warm surface seawater is pumped into an enclosed vessel called an evaporator. Inside this unit, thermal energy is transferred across titanium plates to a specialized working fluid with an exceptionally low boiling point, typically anhydrous ammonia. As the liquid ammonia absorbs heat, it rapidly flashes into high-pressure vapor. This expanding gas is channeled into a turbine, forcing its internal blades to spin at several thousand revolutions per minute.

Questions 6–9

Label the diagram. Choose NO MORE THAN TWO WORDS from the text for each answer.

Closed-Cycle OTEC Architecture

6titanium plates for transferring heat from warm surface seawater
7generator driven by the turbine shaft to supply electricity
circulating 8ammonia chilled and returned to a liquid state
deep-sea conduit constructed from high-density 9fiberglass

Hint: paragraph C says what the heat passes through

Part 1You should spend about 20 minutes on this task. Write at least 150 words.

The bar chart below shows the number of overseas students enrolled in three faculties at a UK university in 2010 and 2020, and the pie chart shows the breakdown of international students by region of origin in 2020.

Summarise the information by selecting and reporting the main features, and make comparisons where relevant.

The bar chart illustrates the number of international students registered in three faculties at a university in the UK in 2010 and 2020, while the pie chart breaks down the international student body by region of origin in the latter year.

Overall, overseas enrollment grew significantly in Business and Engineering over the decade, whereas the Faculty of Arts experienced a slight downturn. Furthermore, Asian students constituted by far the largest proportion of international learners in 2020.

In terms of faculty enrollment, Business was the most popular field among overseas students throughout the period, rising from 4,200 in 2010 to a peak of 6,800 in 2020. Engineering saw an even steeper rate of growth, nearly doubling from 3,000 to 5,500 students. In stark contrast, student numbers in the Arts faculty dropped marginally from 2,100 to 1,800, making it the least attended department by 2020.

Words: 0Words: 41Words: 76Words: 143

Part 1Read the text and answer questions 1–14.

Passage 2

897 words~5 min read

The Biomimetic Secrets of Termite Architecture

3a mention of an early architectural project based on an outdated biological hypothesis

For decades, architects seeking natural ventilation strategies have looked to the towering mounds constructed by African termites of the genus Macrotermes.

5details of how exterior wind fluctuations drive internal air circulation

However, when biologists and engineers began applying modern sensor technologies to wild termite colonies, the long-standing thermosiphon paradigm began to crumble.

2an explanation of how digital imaging was utilized to examine internal nest structures

To unravel the physical mechanisms enabling this respiratory behaviour, Dr Rupert Soar, an engineer and biomimetics specialist, collaborated with Turner using advanced industrial imaging.

Questions 1–5

Which section contains the following information? Choose the correct letter, A–F, for each statement and move it into the gap. You may choose any letter more than once.

1a reference to regulatory obstacles hindering the adoption of mound-inspired building techniques

2an explanation of how digital imaging was utilized to examine internal nest structuresC

3a mention of an early architectural project based on an outdated biological hypothesisA

4a description of how chemical signals guide collective building behavior without central control

5details of how exterior wind fluctuations drive internal air circulationB

Questions 6–10

Match each statement with the correct researcher, A, B, or C. You may choose any letter more than once.

Dr Scott TurnerDr Rupert SoarProfessor Guy Theraulaz

Modern edifices should be constructed with permeable outer walls rather than hermetically sealed barriers.

6Dr Rupert Soar

Internal thermal equilibrium is preserved through the action of surface wind oscillations rather than continuous convection loops.

7Dr Scott Turner

The distribution of chemical traces by internal air movements enables self-regulated structural adjustments.

8Professor Guy Theraulaz

Termite mounds operate in a physiological manner comparable to respiratory organs in mammals.

9Dr Scott Turner

Microscopic channels embedded in outer mound walls can filter turbulent air while conserving moisture.

10Dr Rupert Soar

Part 4Listen and answer questions 31–40.

Part 4: Listen

Playing…01:4603:2005:12 / 05:501 play remaining

Questions 31–40

Complete the notes below. Write ONE WORD ONLY for each answer.

Roman Marine Concrete

Composition and Chemical Reaction

The mix combined quicklime, volcanic 31ash and seawater to form a reactive mortar.
When exposed to salty 32seawater, chemical interaction triggered the growth of rare minerals.
An interlocking 33crystal structure developed within the porous matrix over centuries.
Unlike modern cement, micro-scale 34cracks were naturally sealed by continuous mineralisation.

Structural Applications and Engineering Advantages

The concrete was widely utilised to build massive breakwaters and coastal 35piers.
Builders added chunks of lightweight 36pumice to reduce structural load without losing strength.
Structures exhibited remarkable 37durability despite continuous battering by oceanic waves.

Modern Relevance and Environmental Implications

Modern researchers study ancient formulations to cut industrial carbon 38emissions.
The method offers durable construction techniques for protective 39harbours facing rising sea levels.
Energy consumption during kiln baking was minimised because lower kiln 40temperatures were required.

Part 2Individual long turn

Describe a public park or garden that you enjoy visiting.

You should say:

where this park or garden is
what it looks like
what activities people do there

and explain why you enjoy visiting this park or garden.

Cue CardPreparation Time: 60 secondsMax Speaking Duration: 120 seconds

Preparation Time

00:42Skip — I'm ready

RecordingAttempt 1/3

01:24/ 02:00

Stop Recording

Estimated scoreScale 0–9

Speaking7.0

Fluency & Coherence7.0
Lexical Resource7.5
Grammatical Range & Accuracy6.5
Pronunciation7.0

Estimated with this exam's conversion rules, not an official test score. Criterion scores come from the AI marking.

Audio Response(1:48 • WEBM)

0:00 / 1:48

AI Transcript

“I would like to talk about Central City Park, a lush green haven located right in the heart of my hometown. It covers a substantial area featuring scenic walking trails, a tranquil artificial lake, and vibrant flower beds that change with each season …”

AI feedbackFluent and well organised, with precise academic words. A few more complex sentences would lift it to band 7.5.

Part 112345678910111213

Listening20 of 20Part 1Part 20 of 1

Part 11234567891011121314

Part 110 of 10Part 210 of 10Part 310 of 10Part 431323334353637383940

Part 110 of 10Part 2Part 30 of 5

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Class report: Biology, Period 3Quiz: Photosynthesis · assigned 10/14/2026Only students currently in the class. The score distribution uses each student's best attempt; paper quality uses their first attempt.

Print report

Submitted32/35

Average7.24

Highest9.75

Lowest3.50

Score distribution (out of 10)Tap a column to see the students in that group.

929%

1239%

723%

310%

Excellent8–10

Good6.5 to under 8

Average5 to under 6.5

Weakunder 5

Being graded: 1 · Submitted with 0 points: 0 · Not started: 2

Students by score groupShowing WeakShow all

Excellent (8–10) · 9 students

1Olivia Chen9.752 attempts
2Noah Williams9.503 attempts
3Ava Johnson9.252 attempts

Weak (under 5) · 3 students

1Ethan Brooks4.752 attempts
2Maya Patel4.253 attempts
3Lucas Rivera3.502 attempts

Paper qualityBased on the first attempt of 31 graded students.

Hardest firstPaper order

2/20 questions were answered correctly by under 30% of students.

Very hard (under 30%): 2 questionsHard (30 to under 50%): 3 questionsMedium (50 to under 80%): 9 questionsEasy (80% and up): 6 questions

Q719%Very hardWhich products of the light reactions does the Calvin cycle use?
Most chosen wrong answer: B · 9 students
Q1226%Very hardFill in the blank: the Calvin cycle takes place in the ___ of the chloroplast.
Q342%HardChoose the true statement about the role of chlorophyll in photosynthesis.
Q1547%HardPut the stages of the Calvin cycle in the right order.

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Unit 4 vocabulary quizMs. Carter · due 9 pm

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Hi Emma! Last time the past simple tripped you up a little. Let’s strengthen it first, then learn something new. Where would you like to start?

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SuggestedStrengthenPast simple ReviewVocabulary: Family New topicWeekend plans ChatTalk about anything you like

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Say the whole sentence out loud:Last weekend I went to the beach. (go)

You

Last weekend I go to the beach.

Fix:go→went

Tutor speaking

Almost! “Last weekend” is over, so go becomes went. Say it once more?

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Last weekend I went to the beach.

Tutor speaking

Perfect! That's the past simple.

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Read aloud

Read the whole sentence, clearly and naturally.

The weather was beautiful on Saturday morning.

Recording… 0:04

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“Saturday”: stress the first part, SAT-ur-day.

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