Lower and upper bounds

the weight of a potatoes is 25 kg correct to the nearest kG /write down the smallest possible weight of the of bag /and also in largest

• smallest24.5/largest25.5

• smallest23.6/largest29.5

• smallest24.95/largest25.05kg

• smallest24/largest26kg

The number 79 has been rounded to the nearest whole number. Find its lower and upper bounds

• 78.5  ≤ 79  <79.5

• 78 ≤ 79 <80

• 78.4 ≤ 79 <79.4

• 78.5 ≤ 79 ≤79.49

The number 14.5 has been rounded to the nearest 3 significant figures. Find its lower and upper bounds

• 14.45  ≤ 14.5  < 14.55

• 13.5 ≤ 14.5 < 15.5

• 14.35 ≤ 14.5 < 14.45

• 14.445 ≤ 14.5 < 14.549

A car moves at a speed of 95 miles per hour measured to the nearest five miles. Then the lower and upper bounds are

• 94.5 ≤ s < 95.5

• 94.5 ≤ s ≤ 95.49

• 92.5 ≤ s < 97.5

• 94.75 ≤ s < 95.25

Harry drove for 168 miles, correct to the nearest mile. He used 19.4 litres of fuel, correct to the nearest tenth of a litre.          

FUEL CONSUMPTION = number of miles travelled     .  

                                        number of litres of fuel used

Calculate the lower bound for fuel consumption for Harry´s journey, corrected to 3 decimal places

• 8.612

• 8.611

• 8.50

• 9.00

A ball is thrown vertically upwards at a speed of V metres per second. The maximum height, H metres, it can reach is given by the formula

 

H = V²/2g

 

            Where g m/s² is the acceleration due to gravity.

 

            V = 12.4 correct to 3 significant figures

            g = 9.8 correct to 2 significant figures

 

What is the upper bound of H, correct to 3 significant figures?

• 7.95

• 7.94

• 7.949

• 7.948

A field is in the shape of a rectangle. The length of the field is 340 m, to the nearest ten. The width of the field is 117 m, to the nearest metre. Calculate the upper bound for the area of the field

• 40537.5

• 39780

• 40710

• 39027.5

• 0.229

• 0.228

• 0.23

• 0.22

Calculate the lower bound for the area of a 5 cm x 8 cm rectangle whose sides are accurate to the nearest cm

• 33.75

• 32

• 38.25

• 3.8

The upper bound of 60 grams, rounded to the nearest 10 grams is:

• 60

• 59.5

• 55

• 57.5