Learning Outcomes
- Recall the standard U.S. customary units for length (inches, feet, yards, miles), weight (ounces, pounds, tons), and liquid volume (fluid ounces, cups, pints, quarts, gallons)
- Convert between units within each measurement category using multiplication and division
- Solve multi-step conversion problems that appear in CBEST word problems
- Select the most appropriate unit of measurement for a given real-world situation
(1) Length Conversions
The U.S. customary system for length uses four main units: inches, feet, yards, and miles. The foundational rule for all unit conversions: when moving from a larger unit to a smaller unit, multiply; when moving from a smaller unit to a larger unit, divide. This rule prevents the most common conversion errors on the CBEST.
| Equivalency | Example Problem | Solution |
|---|---|---|
| 12 inches = 1 foot | How many inches in 4.5 feet? | 4.5 × 12 = 54 inches |
| 3 feet = 1 yard | How many yards in 15 feet? | 15 ÷ 3 = 5 yards |
| 36 inches = 1 yard | How many inches in 2.5 yards? | 2.5 × 36 = 90 inches |
| 5,280 feet = 1 mile | How many feet in 2.5 miles? | 2.5 × 5,280 = 13,200 feet |
A hallway is 180 inches long. Express this measurement in yards.
On the CBEST, length conversion problems often use multi-step chains. Work one unit at a time. Going from inches to yards, you must pass through feet — never skip directly unless you know the combined conversion factor (36 inches = 1 yard). Writing each step prevents errors.
(2) Weight Conversions
U.S. customary weight uses three units on the CBEST: ounces, pounds, and tons. Remember: 16 ounces = 1 pound and 2,000 pounds = 1 ton. These two equivalencies are everything you need for weight problems on the exam.
| Equivalency | Convert TO smaller (multiply) | Convert TO larger (divide) |
|---|---|---|
| 16 ounces = 1 pound | 3 lb × 16 = 48 oz | 48 oz ÷ 16 = 3 lb |
| 2,000 pounds = 1 ton | 4 tons × 2,000 = 8,000 lb | 8,000 lb ÷ 2,000 = 4 tons |
A school supply shipment weighs 3.5 tons. How many pounds is that?
(3) Volume and Capacity Conversions
Liquid volume in the customary system uses a chain of five units. Memorize them in order from smallest to largest: fluid ounces → cups → pints → quarts → gallons. Each step in the chain has its own conversion factor.
| Equivalency | Memory Aid |
|---|---|
| 8 fluid ounces = 1 cup | A standard cup of coffee = 8 fl oz |
| 2 cups = 1 pint | A pint of cream cheese holds 2 cups |
| 2 pints = 1 quart | Quarter (of a gallon) = 1 quart |
| 4 quarts = 1 gallon | A gallon jug of water = 4 quarts |
How many cups are in 3 gallons?
The CBEST does not test metric volume (liters, milliliters) — it tests U.S. customary. Do not confuse fluid ounces (volume) with ounces (weight). They share a name but measure completely different things. A fluid ounce of water weighs approximately one ounce, but they are not interchangeable in problems.
(4) Choosing the Right Unit
The CBEST may ask you which unit is most appropriate for measuring something. The key is scale: match the unit to the size of what you are measuring.
Feet/Yards: rooms, fields, fabric
Miles: roads, cities, running distances
Pounds: people, boxes, produce
Tons: vehicles, shipping cargo
Pints/Quarts: dairy, juice containers
Gallons: paint, water jugs, pools
Test Ready Tips — Chapter Summary
| Larger → Smaller unit | Multiply by the conversion factor |
| Smaller → Larger unit | Divide by the conversion factor |
| Length chain | 12 in = 1 ft | 3 ft = 1 yd | 5,280 ft = 1 mi |
| Weight chain | 16 oz = 1 lb | 2,000 lb = 1 ton |
| Volume chain | 8 fl oz = 1 cup | 2 cups = 1 pt | 2 pt = 1 qt | 4 qt = 1 gal |