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.

Write your answer out first, then check it against the worked solution.

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.

Write your answer out first, then check it against the worked solution.

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.

Write your answer out first, then check it against the worked solution.

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.

Write your answer out first, then check it against the worked solution.

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.

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Get My Answers Marked Back to the notes

Want more questions like these? Get a fresh set on this topic, marked as you go.