IB problems

496 problems for IB practice, each with a worked solution. Try each one on paper first, then check your answer.

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

All LevelsMiddle Stage (6–8)High School (9–10)High School (11–12)UndergraduateGeneral

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SortMixedNewest firstOldest firstA to Z430 problems

Type:AnyConceptualNumericalPython-Coded

1.

1800 J of heat flows from a very large body at 540 K to a very large body at 270 K.

High School (11–12) · Heat Engines, the Second Law and EntropyIBStemPy Lab

Medium

2.

For N₂O₄(g) ⇌ 2NO₂(g), Δ H° = +57.2 kJ/mol and Δ S° = +175.8 J/(K mol). New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, A-Level, IBStemPy Lab

Hard

3.

How many 4-letter words, with or without meaning, can be made from the letters of EDUCATION, if… New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IB, GaokaoStemPy Lab

Medium

4.

In a dark room, Rahul cuts the tip off an oat shoot. New

High School (9–10), General · Plant Hormones and Movements, Hormones and the Endocrine SystemBoard Exam, A-Level, IBStemPy Lab

Hard

5.

This function should give the average of a list, but gives a wrong answer for [2, 4, 6] (it gives…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingBoard Exam, AP, A-Level, IB, PCEP (Python Institute)StemPy Lab

Easy

6.

The values 2, 6, 10, 14 have a mean of 8.

Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataA-Level, IB, SATStemPy Lab

Hard

7.

A Carnot engine works between 880 K and 286 K and gives out 12 kW of mechanical power.

High School (11–12) · Heat Engines, the Second Law and EntropyIBStemPy Lab

Hard

8.

A reaction has K = 2.5 × 10⁻³ at 500 K. Find Δ G° at this temperature. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

9.

A team of 11 is picked from 15 players, who include Kiran and Joseph. New

High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy Lab

Medium

10.

Aphids are small insects that feed on plants. New

High School (9–10), General · Transport in Living OrganismsBoard Exam, A-Level, IBStemPy Lab

Hard

11.

A pipeline has three stages. For the input "Hello, World", it should give ["hello", "world"], but…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingA-Level, IB, PCAP (Python Institute)StemPy Lab

Medium

12.

A Carnot engine works between 450 K and 306 K.

High School (11–12) · Heat Engines, the Second Law and EntropyJEE Main, NEET, BITSAT, WBJEE, Board Exam, IBStemPy Lab

Medium

13.

At 298 K a reaction has Δ G° = -17.1 kJ/mol. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

14.

A committee of 5 is chosen from 6 men and 5 women. How many committees have at least 2 women? New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IB, GaokaoStemPy Lab

Medium

15.

A fish has a heart with two chambers, and its blood passes through the heart only once in each… New

High School (9–10), General · Transport in Living Organisms, Circulatory SystemBoard Exam, A-Level, IBStemPy Lab

Hard

16.

Fix second_largest so that it gives the second largest different value, and None when there is none.

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingBoard Exam, AP, A-Level, IBStemPy Lab

Medium

17.

An engine takes 4200 J of heat from its hot reservoir each cycle and gives 2940 J to the cold one.

High School (11–12) · Heat Engines, the Second Law and EntropyBoard Exam, IBStemPy Lab

Easy

18.

Four reactions have these signs. (a) Δ H < 0, Δ S > 0. New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityBoard Exam, AP, A-Level, IBStemPy Lab

Easy

19.

Four digit numbers are made from the digits 0, 1, 2, 3, 4, 5, with no digit repeated. New

High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board Exam, A-Level, IB, GaokaoStemPy Lab

Medium

20.

A bacterium and a white blood cell of a human are both single cells.

High School (11–12) · Kingdom MoneraNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

21.

A function longest_word(text) gives the longest word of a text, and when two words are equally…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingAP, A-Level, IBStemPy Lab

Easy

22.

A gas goes round a cycle of three steps.

High School (11–12) · Heat Engines, the Second Law and EntropyJEE Main, NEET, BITSAT, WBJEE, Board Exam, AP, IB, GaokaoStemPy Lab

Medium

23.

Magnesium carbonate decomposes: MgCO₃(s) → MgO(s) + CO₂(g), with Δ H° = +117.6 kJ/mol and Δ S° =… New

High School (11–12) · Entropy, Gibbs Energy and SpontaneityNEET, Board Exam, AP, A-Level, IBStemPy Lab

Medium

24.

In how many ways can the letters of the word ORANGE be arranged so that the vowels stand only in… New

High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy Lab

Medium

25.

Use this key to four pond animals. If the animal has a hard shell, it is a snail.

High School (11–12) · Taxonomic Hierarchy and AidsBoard Exam, IBStemPy Lab

Medium