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1. Which of the following is equivalent to 1 mile?
a. 12 inches
b. 1760 yards
c. 3520 feet
d. 1760 feet

2. How many inches does 5 ft 3 in. represent?
a. 62 in.
b. 59 in.
c. 63 in.
d. 60 in.

3. How many feet does 4 mi 2 yd represent?
a. 5112 ft
b. 21 000 ft
c. 3470 ft
d. 21 126 ft

4. Janice is building a fence around her backyard using panels that are sold in 4 ft lengths. The perimeter of her backyard measures 36 yd. How many fence panels should she buy?
a. 144 panels
b. 27 panels
c. 108 panels
d. 54 panels

5. What is 250 mm in centimetres?
a. 2.50 cm
b. 0.250 cm
c. 25.0 cm
d. 0.025 cm

6. What is 4.5 km in metres?
a. 4500 m
b. 4.50 m
c. 45.0 m
d. 450.0 m

7. What is 56.9 m in kilometres?
a. 0.569 km
b. 569 km
c. 56 900 km
d. 0.0569 km

8. Which imperial unit would not be reasonable to use to estimate the length of your leg?
a. foot
b. yard
c. mile
d. inch

9. Which would be the best estimate for the height of a door in a house?
a. 140 in.
b. 7 ft
c. 1000 cm
d. 100 mm

10. The base unit for the length in metric system is
a. cm
b. m
c. in.
d. yd

11. Express 0.000840 in scientific notation
a. 8.40 x 10-3
b. 8.40 x 104
c. 8.40 x 10-4
d. 8.4 x 104

12. In metric system the prefix nano- means
a. 10-9
b. 109
c. 1012
d. 10-12

13. 65.0ºC is equivalent to
a. -85.0ºF
b. 85.0ºF
c. 120 ºF
d. 149ºF

Answer :

  1. To find which measurement is equivalent to 1 mile:

    A mile is equal to 1760 yards. Therefore, the correct answer is b. 1760 yards.

  2. To convert 5 feet 3 inches to inches:

    • 1 foot = 12 inches
    • So, 5 feet = 5 \times 12 = 60 inches
    • Add the additional 3 inches: 60 + 3 = 63 inches.
    • The correct answer is c. 63 in.

  3. To convert 4 miles 2 yards to feet:

    • 1 mile = 5280 feet
    • 4 miles = 4 \times 5280 = 21120 feet
    • 1 yard = 3 feet
    • 2 yards = 2 \times 3 = 6 feet
    • Add them together: 21120 + 6 = 21126 feet.
    • The correct answer is d. 21126 ft.

  4. To determine how many fence panels Janice should buy:

    • Perimeter of backyard = 36 yards
    • Convert 36 yards to feet: 36 \times 3 = 108 feet
    • Each panel is 4 feet
    • Number of panels needed: 108 / 4 = 27 panels
    • The correct answer is b. 27 panels.

  5. To convert 250 mm to centimeters:

    • 1 mm = 0.1 cm
    • 250 mm = 250 \times 0.1 = 25.0 cm
    • The correct answer is c. 25.0 cm.

  6. To convert 4.5 km to meters:

    • 1 km = 1000 meters
    • 4.5 km = 4.5 \times 1000 = 4500 meters
    • The correct answer is a. 4500 m.

  7. To convert 56.9 m to kilometers:

    • 1 meter = 0.001 km
    • 56.9 meters = 56.9 \times 0.001 = 0.0569 km
    • The correct answer is d. 0.0569 km.

  8. Choosing an unreasonable unit to estimate the length of a leg:

    • A mile is too large a unit to estimate a leg length.
    • The correct answer is c. mile.

  9. The best estimate for the height of a door in a house:

    • A typical door height is about 7 feet.
    • The correct answer is b. 7 ft.

  10. The base unit for length in the metric system:

    • The base unit is the meter (m).
    • The correct answer is b. m.

  11. Expressing 0.000840 in scientific notation:

    • Move the decimal place 4 places to the right: 8.40 \times 10^{-4}
    • The correct answer is c. 8.40 x 10^-4.

  12. The prefix 'nano-' in the metric system:

    • Nano- means 10^{-9}
    • The correct answer is a. 10^-9.

  13. Converting 65.0ºC to Fahrenheit:

    • Use the formula F = (C \times \frac{9}{5}) + 32
    • F = (65 \times \frac{9}{5}) + 32 = 149ºF
    • The correct answer is d. 149ºF.

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