Bounds

Which of these is the correct definition of lower bound?

• the largest value that a number can be (to a specified degree of accuracy)

• the smallest value that a number can be (to a specified degree of accuracy)

• the range of values (between the upper and lower bounds) in which the precise value could be.

Write down the lower bound of 60kg rounded to the nearest kg.

• 59

• 55

• 59.5

• 60.5

Round 26.824 miles to the nearest mile.

• 26 miles

• 27 miles

• 27.5 miles

• 30 miles

Write down the upper bound of 12.7cm when it is rounded to 1 dp.

• 12.75

• 12.65

• 13

• 12.8

What are the lower and upper bounds of 280g rounded to the nearest gram?

• 275g and 285g

• 270.5g and 290.5g

• 279g and 281g

• 279.5g and 280.5g

Which of these is the correct definition of error interval.

• the range of values (between the upper and lower bounds) in which the precise value could be.

• the smallest value to a degree of accuracy

• the middle number in the equation

• the largest value to a degree of accuracy

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

What is the error interval when 500 chairs are rounded to the nearest 100 chairs?

• $400\le c<600$

• $450\le c<550$

• $499\le c\le501$

• $450\le c\le550$

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)?

• $5.26\le t\le5.27$

• $5\le t<7$

• $5.265\le t<5.275$

• $5.2\le t\ge5.28$