What Is on the SIFT Math Test? Format, Topics, and Prep Plan

The SIFT is not just a math test. For Army aviation applicants, the Army Warrant Officer Recruiting 153A page identifies the Selection Instrument for Flight Training as a required aviation screening item and should be used, along with official testing staff, for current eligibility, scheduling, score, and retest rules.

This article focuses on the math portion because math is one of the easiest areas to improve with a structured plan. If you can build speed with arithmetic, algebra, ratios, and word problems, you reduce one major source of test-day pressure.

ViewMath is not affiliated with or endorsed by the U.S. Army, Army Aviation, or official SIFT testing authorities. Always confirm current requirements with official Army sources.

The Army’s public recruiting page is the source for the requirement, not a full public math-only blueprint. For prep purposes, use a conservative math plan that covers the core aptitude skills most likely to support fast problem solving: arithmetic, fractions, percents, ratios, algebra, geometry, data, and multi-step word problems.

What SIFT Math Usually Requires

SIFT math preparation should cover the same core skills found in military aptitude math: fast arithmetic, algebra setup, estimation, and interpreting word problems. Candidates should be ready for questions that combine several small skills in one problem.

Skill Area	What to Study
Arithmetic	Fractions, decimals, percents, order of operations, exponents, roots, and estimation
Ratios and rates	Proportions, unit rates, speed-distance-time, scale, mixtures, and percent change
Algebra	Linear equations, inequalities, simplifying expressions, systems basics, and formula rearranging
Geometry	Area, perimeter, volume, angles, triangles, circles, and the Pythagorean theorem
Data and word problems	Averages, tables, charts, probability basics, and multi-step reasoning

Quick Diagnostic: What Should You Study First?

Before starting a four-week plan, try this untimed diagnostic. Do not use a calculator unless your official testing instructions permit one. Mark each miss by type: arithmetic, setup, formula, or time.

Convert 0.375 to a fraction in simplest form.
A vehicle travels 165 miles in 3 hours. What is the average speed?
Solve 4x + 7 = 31.
Find 18% of 250.
A right triangle has legs 9 and 12. Find the hypotenuse.
The average of 14, 21, 25, and x is 22. Find x.

If arithmetic and conversions are slow, spend the first week there. If arithmetic is fine but word problems are weak, focus on translating words into equations. If geometry is weak, memorize formulas and practice choosing the correct one before substituting numbers.

Sample SIFT Math Questions

A helicopter travels 210 miles in 1.5 hours. What is its average speed in miles per hour?
Solve: 5x – 8 = 2x + 19.
A part costs $80 after a 20% discount. What was the original price?
What is 3/4 divided by 2/5?
A rectangle has area 72 square inches and length 12 inches. What is its width?
The average of 12, 18, 20, and x is 19. Find x.
A map scale is 1 inch = 12 miles. Two points are 4.5 inches apart on the map. What is the real distance?
Simplify: 2(3x – 4) + 5x.
A cylinder has radius 3 inches and height 10 inches. Using pi as 3.14, find the volume.
A number increases from 80 to 100. What is the percent increase?
Three parts are mixed in the ratio 2:3:5. If the total mixture is 60 ounces, how many ounces are in the largest part?
Estimate 49.8 x 19.6 without multiplying exactly. Which is closest: 100, 500, 1,000, or 2,000?

Worked Answer Key

210 ÷ 1.5 = 140 miles per hour.
3x = 27, so x = 9.
$80 is 80% of the original price, so original price = 80 ÷ 0.8 = $100.
3/4 x 5/2 = 15/8 = 1 7/8.
72 ÷ 12 = 6 inches.
Total needed = 19 x 4 = 76. Since 12 + 18 + 20 = 50, x = 26.
54 miles, because 4.5 x 12 = 54.
11x – 8. Distribute first: 6x – 8 + 5x.
282.6 cubic inches. Volume = pi r^2 h = 3.14 x 9 x 10.
25%. The increase is 20, and 20/80 = 0.25.
30 ounces. The ratio has 10 total parts, so each part is 6 ounces. The largest part is 5 x 6.
1,000. Estimate 49.8 as 50 and 19.6 as 20, then 50 x 20 = 1,000.

A Four-Week SIFT Math Prep Plan

Week 1: Arithmetic Without a Calculator

Review fraction operations, decimal operations, percent conversions, mental math, and estimation. Do 20 short problems per day and write down every arithmetic mistake. Your goal is speed with accuracy, not just eventual correctness.

Week 2: Algebra and Word Problems

Practice writing equations from sentences, solving linear equations, working with proportions, and rearranging formulas. Spend extra time on speed-distance-time and percent change problems because they appear naturally in aviation-style contexts.

Week 3: Geometry, Measurement, and Data

Memorize area, perimeter, volume, and circle formulas. Practice Pythagorean theorem problems and average/rate questions. Make one formula sheet, then stop looking at it by the end of the week.

Week 4: Timed Mixed Sets

Take timed mixed sets and correct them deeply. For every missed problem, label the reason: concept, calculation, setup, vocabulary, or time pressure. The label tells you what to fix next.

Daily Study Structure

Warm up: Five mental arithmetic problems, such as fraction-to-decimal conversions or percent estimates.
Main skill: Fifteen to twenty problems from one focus area.
Mixed review: Five problems from older topics so skills stay active.
Error log: Rewrite every missed problem in one sentence: “I missed this because…”
Retest: Solve two similar problems the next day without looking at the original explanation.

Common SIFT Math Prep Mistakes

Studying only formulas: Formula memory helps, but most score improvement comes from applying formulas under time pressure.
Ignoring arithmetic speed: Slow fraction, decimal, and percent work makes every other topic harder.
Skipping estimation: Estimation helps catch impossible answers and can save time on answer-choice questions.
Practicing one topic at a time for too long: Real test pressure comes from switching topics quickly.
Not reviewing misses: A missed problem should become a new mini-lesson, not just a red mark.

How to Study More Efficiently

Do not only read explanations. Math score gains come from solving problems, checking mistakes, and trying similar problems again.
Use an error log. Keep a simple list of missed problem type, reason for error, and corrected method.
Practice under time pressure gradually. Start untimed while learning; switch to timed sets once accuracy improves.
Train estimation. If an answer choice is wildly too small or too large, eliminate it quickly.
Balance math with the rest of the SIFT. Reading, mechanical comprehension, spatial reasoning, and aviation knowledge also matter.

Which ViewMath Resource Fits?

If your diagnostic shows weak fundamentals, start with a general math review book before taking full practice tests. If arithmetic and algebra are already solid, use SIFT or military aptitude practice sets to build speed and decision-making. The ViewMath resources in the sidebar can support fraction, percent, algebra, geometry, and mixed-test review, but official Army sources should remain your authority for current SIFT rules and aviation application requirements.