Score band 700-800 · Problem Solving & Data Analysis
Units and Unit Conversion drills for 700-800
Targeted practice for students currently scoring in the 700-800 range, drilling exclusively on units and unit conversion.
What a 700-800 scorer needs from this topic
The 700 to 800 band is the elite tier of SAT Math. Reaching it requires zero careless errors and confident solves on the hardest one or two questions in each module. Mastery-band drills focus on the hardest released questions: multi-concept problems that combine two or three skills in one stem, abstract algebraic manipulation with parameters instead of numbers, geometry questions that require a clever construction, and data-analysis questions that test conceptual understanding rather than computation. At this level, speed matters as much as accuracy, because the only way to leave time for the hardest questions is to dispatch the easy and medium ones in well under a minute each.
For Units and Unit Conversion specifically, students in the 700-800 band need to focus on the question patterns the College Board uses at this difficulty level. Convert between units using dimensional analysis. The questions below are pulled from the ScoreReady question bank and filtered to the 700-800 band based on difficulty calibration that matches publicly released College Board practice materials.
Drill these untimed first. Once you can produce a clean worked solution on paper for every question without notes, switch to timed mode and aim for under 75 seconds per question. That pace is roughly the average time per question on the actual SAT Math section, and it leaves time for the harder questions you will see at the end of each module.
Practice set
-
A measurement of 6 kilometers is equivalent to how many meters?
- A 1,006
- B 6,000
- C 60,000
- D 600
Worked solution
Answer: B — 6,000
There are 1000 meters in 1 kilometers. Multiply: 6 × 1000 = 6,000 meters.
-
A measurement of 8 miles is equivalent to how many feet?
- A 4,224
- B 422,400
- C 42,240
- D 5,288
Worked solution
Answer: C — 42,240
There are 5280 feet in 1 miles. Multiply: 8 × 5280 = 42,240 feet.
-
A measurement of 13 hours is equivalent to how many seconds?
- A 3,613
- B 4,680
- C 468,000
- D 46,800
Worked solution
Answer: D — 46,800
There are 3600 seconds in 1 hours. Multiply: 13 × 3600 = 46,800 seconds.
-
A measurement of 36 kilograms is equivalent to how many grams?
- A 360,000
- B 3,600
- C 36,000
- D 1,036
Worked solution
Answer: C — 36,000
There are 1000 grams in 1 kilograms. Multiply: 36 × 1000 = 36,000 grams.
-
A measurement of 30 liters is equivalent to how many milliliters?
- A 30,000
- B 1,030
- C 3,000
- D 300,000
Worked solution
Answer: A — 30,000
There are 1000 milliliters in 1 liters. Multiply: 30 × 1000 = 30,000 milliliters.
-
A measurement of 28 kilometers is equivalent to how many meters?
- A 28,000
- B 2,800
- C 280,000
- D 1,028
Worked solution
Answer: A — 28,000
There are 1000 meters in 1 kilometers. Multiply: 28 × 1000 = 28,000 meters.
How to use these drills to climb a band
Climbing from one score band to the next requires a different study mix than climbing within a band. Within a band, you are mostly fixing careless errors and pattern-recognizing the question types you already understand. Climbing to the next band means adding new question types to your toolbox — patterns you currently recognize but cannot solve fluently. The 700–800 set in this drill is exactly that toolbox for students currently in the 600–700 range.
The single most reliable indicator that you are ready to move up a band is being able to explain a worked solution to someone else, in your own words, without referring to notes. Practice this with one classmate or one parent per week. The act of teaching exposes the gaps your timed solves did not.
Other 700-800 drills
- Linear Equations in One Variable
- Linear Inequalities
- Systems of Linear Equations
- Linear Functions and Their Graphs
- Absolute Value Equations
- Ratios and Proportions
- Percentages and Percent Change
- Mean, Median, and Mode
- Probability and Two-Way Tables
- Quadratic Equations
- Polynomial Operations
- Exponential Functions and Exponent Rules
- Rational Expressions
- Function Notation and Composition
- Circles, Arcs, and Sectors
- Right Triangle Trigonometry
- Volume and Surface Area
- Complex Numbers
- Parallel and Perpendicular Lines