Upper and Lower Bounds

Mathis finds the weight of some potatoes to be 25 kg correct to the nearest kg. What is the range of possible weights?

• 24kg ≤ weight < 26kg

• 24.5kg ≤ weight < 26.5kg

• 24.5kg ≤ weight < 25.5kg

• 23.5kg ≤ weight < 25.5kg

Tags

CCSS.7.EE.B.3

To the nearest 10 metres, Chloé measures a room to be 300m wide. What are the upper and lower bounds of the width?

• 290m ≤ width < 310m

• 295m ≤ width < 305m

• 297.5m ≤ width < 302.5m

• 299.5m ≤ width < 300.5m

Tags

CCSS.6.NS.C.8

To the nearest hundred, 700 customers buy sandwiches from Namandeep's Sandwich Emporium. What is the range of possible customers?

• 650 ≤ customers < 750

• 699 ≤ customers < 701

• 699.5 ≤ customers < 700.5

• 600 ≤ customers < 800

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

Tags

CCSS.7.EE.B.3

Valeria makes a massive cake using 10 bags of flour. Each bag weighs 500g to the nearest gram. What is the minimum weight of all 10 bags?

• 4995 g

• 5005 g

• 499.5 g

• 5 kg

Naomasa finds a piece of A4 paper to be 21.1 cm by 29.7 cm when measured to the nearest 0.1cm. What is the range of possible areas of the paper?

• 21.05cm² ≤ area < 29.75 cm²

• 624.1325cm² ≤ area < 629.2125 cm²

• 6.2665cm² ≤ area < 626.675 cm²

• 625cm² ≤ area < 627 cm²

Tags

CCSS.7.EE.B.3

Measuring to the nearest metre each time, Chanel finds a cuboid to be 2m x 11m x 9m.

What is the least possible volume of the cuboid?

• 198.5m³

• 273.125m³

• 198.5m³

• 133.875m³

Tags

CCSS.7.EE.B.3

• 9.47 ≤ A < 10.57 (2d.p.)

• 9.57 ≤ A < 10.47 (2d.p.)

• 9.5 ≤ A < 10.5

• 9.95 ≤ A < 10.05 (2d.p.)

Tags

CCSS.7.EE.B.3

Claire measures her desk to be 66cm across to the nearest cm. What are the upper and lower bounds of the desk's width?

• 65.5cm ≤ width < 66.5cm

• 65cm ≤ width < 67cm

• 65.95cm ≤ width < 66.05cm

• 64.5cm ≤ width < 67.5cm

Tags

CCSS.6.NS.C.8

Laurens measures the length and width of a field to be 78m by 35m to the nearest metre. What is the greatest possible perimeter of the field?

• 228 m

• 2786.75 m²

• 226 m

• 2763.75 m²

Tags

CCSS.7.EE.B.3