Upper and lower bounds

A metal rod has a length of 2 cm to the nearest cm.

What is the greatest possible length of the rod?

1. The length of a fence is 137 metres, correct to the nearest metre. Choose the upper and lower bound for the length of the fence.

• 136.5 m

• 141m

• 137.5m

• 132m

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds

• 950 ≤ 1001 < 1051

• 950 ≤ 1001 < 1050

• 950  ≤ 1000  < 1050

Mr Jones wants to buy a notebook for every student in year 11. He knows there are 300 students in year 11 to the nearest 100. What is the greatest possible number of notebooks that he would have to buy?

• 350

• 250

• 300

• 400

The number 43.4 has been rounded to the nearest tenth. Find its lower and upper bounds.

• 42 ≤ 43 < 44

• 43.3 ≤ 43.4 < 43.4

• 43.35  ≤ 43.4  < 43.45

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

• 395 and 385

• 390.5 and 389.5

• 400 and 300

• 400 and 350

Work out the error interval when 900ml is rounded to 1 significant figure (1SF).

• $850\le x>950$

• $800\le950$

• $850\le x<950$

• $899\le x<901$

What is the error interval for 5.27 seconds rounded to 2 decimal places (2dp)?

• $5.26\le t\le5.27$

• $5\le t<7$

• $5.265\le t<5.275$

• $5.2\le t\ge5.28$

The following number has been rounded to the nearest metre.

200m

Find the upper bound...

• 200.5m

• 205m

• 250m

• 204.5m

To the nearest thousand, 90 000 cars drive through the road toll in one week.Write down the lower bound for this number of cars.

• 85000

• 89950

• 89500

• 89999.5