Unit 1: Number and Algebra

Topic 1.1: Standard Form Questions

Practice 20 exam-style questions for IB Math AA SL Topic 1.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1Select1 mark

2026

Simplify

(1 0^{4})^{2}

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2Select1 mark

2026

Write 6.4 × 10⁵ as an ordinary number.

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3Select1 mark

2026

Which of the following is written in valid standard form?

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4Select1 mark

2026

Simplify 10³ × 10^4.

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5Select1 mark

2026

Simplify 10⁸ ÷ 10^3.

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6Write1 mark

2026

Write 7.2 × 10^-4 as an ordinary number.

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7Select1 mark

2026

Write

6.4 \times 1 0^{5}

as an ordinary number.

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8Select1 mark

2026

Simplify

1 0^{8} \div 1 0^{3}

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9State1 mark

2024

Two lamps,

L_{1}

and

L_{2}

, are tested.

L_{1}

has a light intensity of

3 \times 1 0^{- 3}

W m

^{- 2}

. The intensity of

L_{2}

is four times that of

L_{1}

.

State the intensity of

L_{2}

.

Give your answer in the form

a \times 1 0^{k}

, where

1 \leq a < 10

and

k \in Z

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10State1 mark

2024

A single virus particle has a mass of

2.5 \times 1 0^{- 15}

g. A cluster is made of eight identical particles.

State the mass of the cluster.

Give your answer in the form

a \times 1 0^{k}

, where

1 \leq a < 10

and

k \in Z

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11State1 mark

2024

A data centre stores

4 \times 1 0^{12}

bytes of data. A second, smaller centre stores half as much.

State the amount of data stored by the second centre.

Give your answer in the form

a \times 1 0^{k}

, where

1 \leq a < 10

and

k \in Z

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12Write down1 mark

2026

Write down the number

0.000 412

in the form

a \times 1 0^{k}

, where

1 \leq a < 10

and

k \in Z

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13Write down1 mark

2021

A circular lake has diameter

7 \times 1 0^{2}

m.

Write down the radius of the lake.

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14Write1 mark

2026

Write

7.2 \times 1 0^{- 4}

as an ordinary number.

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15Write down1 mark

2021

The diameter of a spherical pollen grain is

5 \times 1 0^{- 5}

m.

Write down the radius of the grain.

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16Write down1 mark

2021

A circular running track has diameter

4.6 \times 1 0^{2}

m.

Write down the radius of the track.

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17Select1 mark

2026

Write 5730000 in standard form.

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18Select1 mark

2026

Write 0.0000821 in standard form.

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19Select1 mark

2026

Simplify

1 0^{3} \times 1 0^{4}

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20Select1 mark

2026

Simplify (10⁴)^2.

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