IBBiologyHLExam QuestionsToolsTool 3: Mathematics

Syllabus Edition

First teaching 2023

First exams 2025

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Tool 3: Mathematics (HL IB Biology)

Exam Questions

7 mins7 questions
Easy
Medium
1
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What is the total mass of carbon released into the atmosphere from respiration per year?

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  • 60 billion tonnes

  • 148 billion tonnes

  • 150 billion tonnes

  • 140 billion tonnes

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2
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With reference to the International System of Units, which is the correct unit and symbol for the amount of substance?

  • kilogram, kg

  • gram, g

  • mole, mol

  • mass, m

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3
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A pipette shows a scale with graduations every 0.1 cm3.

What is the uncertainty associated with readings from this pipette?

  • 0.15 cm3

  • 0.01 cm3

  • 0.05 cm3

  • 0.5 cm3

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1
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Fruit flies (Drosophila melanogaster) exhibit characteristics governed by the following pairs of alleles.

M = brown body, m = black body

R = red eyes, r = white eyes

These pairs of alleles can be assumed to be unlinked.

If two double-heterozygous flies are crossed and produce 160 offspring, what is the likely number of offspring with red eyes and a black body?

  • 90

  • 120

  • 30

  • 10

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2
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The electron micrograph shows the organelles in a leaf cell. A student uses their ruler to measure the length of the scale bar, which they find to be 1.5 cm.

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What is the magnification of the micrograph?

  • ×7000

  • ×7.5

  • ×3000

  • ×300

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3
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A chi-squared test was carried out to test for association between species A and species B.  The results of the chi-squared test are given below. 

Results of chi-squared test:

Chi-squared value 5.89
Degrees of freedom 1

Critical values table:

Degrees of freedom Probability level
0.1 0.05 0.01 0.001
1 2.71 3.84 6.64 10.83
2 4.60 5.99 9.21 13.82

What can be concluded from the chi-squared test for association carried out to test for association between species A and species B?

  • There is no significant association between species A and species B

  • Species A competes with species B for resources

  • There is a statistically significant association between species A and species B at the 5% probability level

  • There is a statistically significant association between species A and species B at the 1% probability level

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4
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Which of the statements relating to deforestation in the Amazon rainforest is correct?

  • Only a small area of rainforest is needed to sustain the cycle of transpiration and rainfall that maintains the ecosystem.

  • A region of rainforest with an area of 4 100 000 km2 was reduced to an area of 3 855 000 km2 over a ten year period, resulting in a percentage decrease of 6 %.

  • Scientists know the area of rainforest that needs to be maintained in order to avoid passing a tipping point in rainforest stability.

  • The Amazon rainforest will be able to recover even if deforestation continues until the stability tipping point is reached.

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