IB Middle Years Programme (MYP) · Mathematics

Estimation, Units of Measurement and Accuracy: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Estimation, Units of Measurement and Accuracy.

10 questions24 marksFree, no account

Question 1

1 mark

Convert the number 0.000000072 into standard form.

Question 2

1 mark

Find the value of \( P \) in standard form if \( P = \frac{a^2 - b}{c} \), given \( a = 5.0 \times 10^3 \), \( b = 4.0 \times 10^6 \), and \( c = 2.0 \times 10^{-2} \).

Question 3

1 mark

Evaluate the expression \( \sqrt[3]{2.7 \times 10^{-11} \times 10^6} \) and express the result in standard form.

Question 4

1 mark

Convert \(3.04 \times 10^{-4}\) into an ordinary number.

Question 5

1 mark

Calculate \( (3 \times 10^4)^2 \) and express the answer in standard form.

Question 6

2 marks

Round the number 0.099972 to 3 significant figures.

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Question 7

4 marks

A cube has a volume of \( 2.7 \times 10^{-5} \text{ m}^3 \). Find the length of one edge of the cube in meters, expressing the result in standard form.

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Question 8

5 marks

The speed of light is approximately \(3.00 \times 10^8\) m/s. Calculate the distance light travels in 1 hour, expressing the answer in standard form to 3 significant figures.

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Question 9

3 marks

Consider the number \( N = 0.00045982 \).
(a) Round \( N \) to 3 significant figures.
(b) Express the result from part (a) in standard form.
(c) If the original number \( N \) is multiplied by \( 10^5 \), write the resulting number in standard form.

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Question 10

5 marks

A rectangular park has a length of \( L = 4.2 \times 10^3 \) meters and a width of \( W = 2.5 \times 10^2 \) meters.
(a) Calculate the perimeter of the park in meters, expressing your answer in standard form.
(b) Calculate the area of the park in square meters, expressing your answer in standard form.
(c) If a worker can mow \( 5.0 \times 10^3 \) square meters of grass per hour, calculate the total time needed to mow the entire park.

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