NBT Quantitative Literacy: Measurement and Estimation Flashcards

A rectangular room measures 4.5 m by 3.2 m. What is its floor area?

Answer: 14.4 m²

Area = length × width = 4.5 × 3.2 = 14.4 m².

How many meters are in 2.5 km?

Answer: 2 500 m

1 km = 1 000 m, so 2.5 × 1 000 = 2 500 m.

A car travels 180 km in 2 hours 15 minutes. What is its average speed?

Answer: 80 km/h

2 h 15 min = 2.25 h, and 180 ÷ 2.25 = 80 km/h.

Which is the best estimate of 49 × 21?

Answer: 1 000

Rounding gives 50 × 20 = 1 000, close to the exact 1 029.

A water tank measures 2 m × 1 m × 0.5 m. How many liters does it hold when full?

Answer: 1 000 L

Volume = 1 m³, and 1 m³ = 1 000 L.

On a map with scale 1:50 000, two towns are 4 cm apart. What is the real distance?

Answer: 2 km

4 × 50 000 = 200 000 cm = 2 000 m = 2 km.

A parcel weighs 3 487 g. What is its mass rounded to the nearest kilogram?

Answer: 3 kg

3 487 g = 3.487 kg, which rounds down to 3 kg.

Using π ≈ 22/7, what is the circumference of a circle with radius 7 cm?

Answer: 44 cm

C = 2πr = 2 × 22/7 × 7 = 44 cm.

Using π ≈ 3.14, what is the area of a circular garden with radius 10 m?

Answer: 314 m²

A = πr² = 3.14 × 100 = 314 m².

A bus departs at 14:45 and arrives at 17:20. How long is the trip?

Answer: 2 h 35 min

14:45 to 17:00 is 2 h 15 min, plus 20 min gives 2 h 35 min.

How many 750 mL bottles are needed to hold 6 L of juice?

Answer: 8

6 L = 6 000 mL, and 6 000 ÷ 750 = 8.

A car uses 8 L of fuel per 100 km. How much fuel does a 350 km trip need?

Answer: 28 L

350 ÷ 100 × 8 = 28 L.

What is the perimeter of a rectangle measuring 12 m by 7.5 m?

Answer: 39 m

P = 2 × (12 + 7.5) = 39 m.

Which is the best estimate of 0.48 × 612?

Answer: 300

0.48 is about one half, and half of about 600 is 300.

How many square centimeters are in 1 square meter?

Answer: 10 000 cm²

1 m² = 100 cm × 100 cm = 10 000 cm².

What is the area of a triangle with base 8 cm and perpendicular height 5 cm?

Answer: 20 cm²

A = ½ × 8 × 5 = 20 cm².

A square plot has a perimeter of 24 m. What is its area?

Answer: 36 m²

Each side is 24 ÷ 4 = 6 m, so area = 6 × 6 = 36 m².

The temperature falls from 12 °C to −5 °C. By how many degrees did it drop?

Answer: 17 °C

12 − (−5) = 17 °C.

A recipe uses 250 g of flour for 4 people. How much flour is needed for 10 people?

Answer: 625 g

250 ÷ 4 = 62.5 g per person, × 10 = 625 g.

A nurse counts 18 heartbeats in 15 seconds. What is the pulse rate per minute?

Answer: 72

15 s is a quarter of a minute, so 18 × 4 = 72 beats per minute.