NBT NBT Quantitative Literacy: Measurement and Estimation — Questions and Answers

Question 1: A rectangular room measures 4.5 m by 3.2 m. What is its floor area?

14.4 m² (Correct answer)
15.4 m²
7.7 m²
144 m²

Correct answer: 14.4 m²

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

Question 2: How many meters are in 2.5 km?

250 m
2 500 m (Correct answer)
25 000 m
0.0025 m

Correct answer: 2 500 m

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

Question 3: A car travels 180 km in 2 hours 15 minutes. What is its average speed?

90 km/h
72 km/h
80 km/h (Correct answer)
85 km/h

Correct answer: 80 km/h

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

Question 4: Which is the best estimate of 49 × 21?

700
1 000 (Correct answer)
1 200
100

Correct answer: 1 000

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

Question 5: A water tank measures 2 m × 1 m × 0.5 m. How many liters does it hold when full?

1 000 L (Correct answer)
100 L
10 000 L
1 L

Correct answer: 1 000 L

Volume = 1 m³, and 1 m³ = 1 000 L.

Question 6: On a map with scale 1:50 000, two towns are 4 cm apart. What is the real distance?

20 km
200 m
0.2 km
2 km (Correct answer)

Correct answer: 2 km

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

Question 7: A parcel weighs 3 487 g. What is its mass rounded to the nearest kilogram?

3.5 kg
4 kg
3 kg (Correct answer)
3.4 kg

Correct answer: 3 kg

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

Question 8: Using π ≈ 22/7, what is the circumference of a circle with radius 7 cm?

22 cm
44 cm (Correct answer)
154 cm
49 cm

Correct answer: 44 cm

C = 2πr = 2 × 22/7 × 7 = 44 cm.

Question 9: Using π ≈ 3.14, what is the area of a circular garden with radius 10 m?

62.8 m²
31.4 m²
100 m²
314 m² (Correct answer)

Correct answer: 314 m²

A = πr² = 3.14 × 100 = 314 m².

Question 10: A bus departs at 14:45 and arrives at 17:20. How long is the trip?

2 h 35 min (Correct answer)
3 h 35 min
2 h 25 min
3 h 25 min

Correct answer: 2 h 35 min

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

Question 11: How many 750 mL bottles are needed to hold 6 L of juice?

6
9
8 (Correct answer)
80

Correct answer: 8

6 L = 6 000 mL, and 6 000 ÷ 750 = 8.

Question 12: A car uses 8 L of fuel per 100 km. How much fuel does a 350 km trip need?

35 L
28 L (Correct answer)
43.75 L
24 L

Correct answer: 28 L

350 ÷ 100 × 8 = 28 L.

Question 13: What is the perimeter of a rectangle measuring 12 m by 7.5 m?

90 m
19.5 m
39 m (Correct answer)
45 m

Correct answer: 39 m

P = 2 × (12 + 7.5) = 39 m.

Question 14: Which is the best estimate of 0.48 × 612?

300 (Correct answer)
30
3 000
200

Correct answer: 300

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

Question 15: How many square centimeters are in 1 square meter?

100 cm²
1 000 cm²
10 000 cm² (Correct answer)
100 000 cm²

Correct answer: 10 000 cm²

1 m² = 100 cm × 100 cm = 10 000 cm².

Question 16: What is the area of a triangle with base 8 cm and perpendicular height 5 cm?

40 cm²
20 cm² (Correct answer)
13 cm²
26 cm²

Correct answer: 20 cm²

A = ½ × 8 × 5 = 20 cm².

Question 17: A square plot has a perimeter of 24 m. What is its area?

24 m²
144 m²
48 m²
36 m² (Correct answer)

Correct answer: 36 m²

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

Question 18: The temperature falls from 12 °C to −5 °C. By how many degrees did it drop?

17 °C (Correct answer)
7 °C
−7 °C
12 °C

Correct answer: 17 °C

12 − (−5) = 17 °C.

Question 19: A recipe uses 250 g of flour for 4 people. How much flour is needed for 10 people?

500 g
1 000 g
625 g (Correct answer)
750 g

Correct answer: 625 g

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

Question 20: A nurse counts 18 heartbeats in 15 seconds. What is the pulse rate per minute?

60
72 (Correct answer)
90
54

Correct answer: 72

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

Question 21: Which is the most reasonable estimate for the height of a standard interior door?

3.5 m
1.2 m
20 m
2 m (Correct answer)

Correct answer: 2 m

Standard doors are about 2 m tall, slightly taller than most adults.

NBT NBT Quantitative Literacy: Measurement and Estimation

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

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