Lever questions are one of the most common items on a mechanical aptitude test, and they trip up more candidates than almost any other topic. A lever question shows you a bar pivoting on a point — a seesaw, a crowbar, a wheelbarrow, a pair of pliers — and asks either “which setup needs the least effort?” or “what force (or distance) balances the bar?” The good news: almost every lever question on the Bennett™, Ramsay™, Wiesen™, EIAT™, CAST™ or ASVAB test is solved by one small rule. This page teaches that rule, walks through worked examples in the exact format the tests use, and lets you try free practice questions right away.
You’ll learn the parts of a lever, the three classes of levers, the one formula that handles roughly nine out of ten test items, a step-by-step method built for the 30–50 seconds you actually get per question, and the traps that cost people easy marks.
Lever questions on mechanical aptitude tests: what to expect
A lever is a rigid bar that turns on a fixed point called the fulcrum. You push on one part (the effort) to move a weight on another part (the load). Because the fulcrum multiplies force, a lever lets a small effort move a large load — and test writers love it precisely because the trade-off between force and distance is easy to picture but easy to get backwards under time pressure.
What a lever question actually looks like
You’ll see a simple line drawing — a bar on a triangle, a plank on a block, a tool being squeezed — with a few distances and weights labeled. The stem asks a short question, and you pick from three or four options. There is rarely any text to read beyond two sentences; the diagram carries the information.
The two styles you’ll see
Every lever item falls into one of two families, and each has its own fast method:
- “Which needs the least effort?” (pictorial). The picture shows two or three setups — different fulcrum positions or load positions — and you choose the one that is easiest, hardest, or most efficient. No arithmetic; you compare arm lengths. Common on emergency-services, military and ASVAB-style tests.
- “Find the force / find the distance” (calculation). The picture gives you weights and distances and asks for the missing one. You multiply weight by distance on each side and set them equal. Common on trades and utility tests like the Bennett and CAST.
Which tests include lever questions
Levers appear in the mechanical-comprehension section of nearly every major battery: the Bennett BMCT-II, the Ramsay MAT, the Wiesen (WTMA), the EIAT, the EEI CAST, and the ASVAB mechanical comprehension subtest. Whichever one you’re sitting, the lever rule below is the same.
The parts of a lever: fulcrum, effort, and load
Every lever has the same three parts. Name them correctly and the rest of the topic falls into place.
Fulcrum (the pivot)
The fulcrum is the fixed point the bar turns on. On a seesaw it’s the center support; on a crowbar it’s wherever the bar rests against the ground or a block. Find the fulcrum first — every distance in the problem is measured from it.
Effort (the force you apply)
The effort is the push or pull you supply — your hands on the crowbar, your foot on a pedal. The distance from the fulcrum to where the effort is applied is the effort arm. A longer effort arm means less force is needed.
Load (the weight you move)
The load is the weight or resistance you’re moving — the crate, the boulder, the sand in a wheelbarrow. The distance from the fulcrum to the load is the load arm. A shorter load arm means the load is easier to lift.
Effort arm vs load arm — measure both from the fulcrum
This is where careless candidates lose marks. The effort arm is not the length of the whole bar, and neither distance is measured from the ground or from the end of the bar. Both are measured straight from the fulcrum. On a 6-foot pry bar with the fulcrum 1 foot from the load, the load arm is 1 foot and the effort arm is the remaining 5 feet — not 6.
Always measure distance from the fulcrum, never from the end of the bar. Circling the pivot on your scratch paper the moment you see a lever question is the single fastest way to stop silly errors.
The three classes of levers (with everyday examples)
Levers come in three classes, defined by which part sits in the middle. Tests often ask you to name the class of a pictured object, so learn to spot each one at a glance.
Effort and load on opposite sides of the pivot. Force can be multiplied or reduced.
Examples: seesaw, crowbar, pliers, scissors.
Load sits between the fulcrum and the effort. Always multiplies force — easier lifting.
Examples: wheelbarrow, nutcracker, bottle opener.
Effort applied between the fulcrum and the load. Trades force for speed and range.
Examples: tweezers, broom, fishing rod, your forearm.
The FLE 123 mnemonic — spot the class fast
Write the three parts in order — Fulcrum, Load, Effort — and ask which one is in the middle. If the Fulcrum is in the middle it’s a 1st-class lever; if the Load is in the middle it’s 2nd-class; if the Effort is in the middle it’s 3rd-class. That’s the whole trick: F–L–E → 1–2–3.
Quick rule: which classes multiply force
Because a 2nd-class lever always keeps the effort arm longer than the load arm, it always gives a mechanical advantage greater than 1 — it makes work easier. A 3rd-class lever always has the effort closer to the fulcrum than the load, so its mechanical advantage is always less than 1 — it trades force for speed and reach. A 1st-class lever can go either way depending on where the fulcrum sits.
Memorize this to sanity-check answers: a Class 2 lever always gives mechanical advantage > 1 (easier); a Class 3 lever always gives < 1 (harder, but faster). If your working says a wheelbarrow needs more force than the load, you’ve made an error.
The law of the lever: the one formula that solves most questions
Here is the single rule that handles roughly nine out of ten lever items on any mechanical aptitude test. It’s called the principle of moments (or the law of the lever), and it says a bar balances when the turning effect on each side is equal:
Effort × effort arm = Load × load arm
Notation varies by source — you may see it written w1 × d1 = w2 × d2 — but it is always weight times distance on one side equalling weight times distance on the other.
Mechanical advantage = effort arm ÷ load arm
When a question asks how many times a lever multiplies your force, divide the effort arm by the load arm. An effort arm of 6 ft and a load arm of 2 ft gives a mechanical advantage of 3 — your force is tripled at the load.
Torque made simple: weight × distance from the fulcrum
“Torque” (also called a moment) is just weight × distance from the fulcrum. A 60-pound child 6 feet out produces 60 × 6 = 360 units of torque. The side with more torque goes down. That’s all you need — no trigonometry, no advanced physics.
Worked example: find the missing force
A steel bar rests on a pipe fulcrum. The load arm is 2 ft, the effort arm is 6 ft, and you push down with 50 lb. Lift force = 50 × (6 ÷ 2) = 50 × 3 = 150 lb. See the full worked card below.
Worked example: find the missing distance (balance point)
A 60-lb child sits 6 ft left of a seesaw’s pivot. Where must a 90-lb child sit to balance? Left torque = 60 × 6 = 360. Then 360 ÷ 90 = 4 ft on the right. The heavier rider always sits closer in. Full card below.
How to solve lever questions fast (step-by-step method)
On test day you get roughly 30–50 seconds per question. That’s plenty if you follow the same four steps every time and don’t reinvent the approach mid-problem.
The 30-second shortcut for “which needs the least effort” questions
For the pictorial style you don’t need arithmetic at all. The setup that needs the least effort is the one with the longest effort arm and the shortest load arm — in other words, the fulcrum placed closest to the load. When you’re asked which is easiest, find the picture where the pivot hugs the load; when asked which is hardest, find the opposite. One glance, one answer.
Worked lever examples (test format)
These four examples are drawn in the exact style the tests use — a short stem, a labeled diagram, and lettered options. Try each one before you open the solution. Together they cover both question families and all the arithmetic you’ll meet.
A worker uses a 36-inch crowbar to lift the edge of a heavy crate. The bar’s bent tip is hooked under the crate, and the bend rests on the floor as the fulcrum. To lift the crate edge with the least effort, where should the worker grip the bar?
A. At the far end of the handle B. At the middle of the handle C. Effort is the same at either position
Show the answer & how to get it
Answer: A. The crowbar is a lever, and your leverage depends on the distance from the fulcrum to your hands — the effort arm. Gripping at the far end of the handle gives the longest possible effort arm, so your push is multiplied the most. Gripping at the middle cuts the effort arm roughly in half, which would require about twice the force to lift the same crate. No calculation needed: longest effort arm wins.
A 60-pound child sits 6 feet to the left of a seesaw’s center pivot. How far from the pivot must a 90-pound child sit on the right side to balance the seesaw?
A. 3 feet B. 4 feet C. 5 feet D. 6 feet
Show the answer & how to get it
Answer: B. Balance requires equal torques on both sides. The left side produces 60 lb × 6 ft = 360 ft-lb, so the right side must also produce 360 ft-lb. Divide by the weight: 360 ÷ 90 = 4 feet. The heavier rider always balances by sitting closer to the pivot — a quick sanity check that rules out any answer of 6 ft or more.
A steel bar rests on a pipe that acts as a fulcrum. The bar’s short end sits under a machine base 2 feet from the pipe, and the worker’s hands are 6 feet from the pipe on the other side. If the worker pushes down with 50 pounds of force, about how much lifting force does the bar apply to the machine base?
A. About 17 pounds B. 150 pounds C. 300 pounds
Show the answer & how to get it
Answer: B. The lever multiplies force by the ratio of the effort arm to the load arm: 6 ft ÷ 2 ft = 3. A 50-pound push therefore becomes 50 × 3 = 150 pounds of lift at the machine base. In exchange, the machine edge rises only one-third as far as the hands move down — the force-for-distance trade every lever makes.
Two children sit on the left side of a seesaw: a 40-pound child 3 feet from the pivot and a 30-pound child 4 feet from the pivot. How far from the pivot must an 80-pound child sit on the right side to balance the seesaw?
A. 2 feet B. 3 feet C. 3.5 feet D. 4 feet
Show the answer & how to get it
Answer: B. Torques on the same side add together. The left side produces 40 lb × 3 ft = 120 ft-lb plus 30 lb × 4 ft = 120 ft-lb, for a total of 240 ft-lb. The 80-pound child must match that: 240 ÷ 80 = 3 feet from the pivot. The trick here is remembering to add the two left-side moments before you solve.
Try it free: practice lever questions the way they’re really asked
Here’s a short drill in the same format you’ll meet on test day — a mix of “which needs the least effort” and torque/balance calculation items, each with an instant explanation. No sign-up, no email. Work through a few, then check your reasoning against the four-step method above.
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Common lever question mistakes (and how to avoid them)
Most wrong answers on lever items come from a handful of avoidable slips. Watch for these four and you’ll bank the easy marks.
Confusing the effort arm with the load arm
The effort arm runs from the fulcrum to your hands; the load arm runs from the fulcrum to the weight. Swap them and mechanical advantage flips upside down — you’ll turn an easy lift into a hard one on paper. Label both before you calculate.
Forgetting to measure distance from the fulcrum
Distances in the diagram may look like they start at the end of the bar or at a weight. They don’t — every distance in the moment equation is measured from the pivot. On a 6-foot bar with the fulcrum 1 foot in, the effort arm is 5 feet, not 6.
Assuming a longer bar always wins
A longer bar helps only if the extra length goes into the effort arm. What actually matters is the ratio of effort arm to load arm. A short bar with the fulcrum right against the load can out-leverage a long bar with a badly placed pivot.
Mixing up units before multiplying
If one distance is in feet and another in inches, convert first. Multiplying 2 ft by a 20-inch arm without converting gives nonsense. Get both distances into the same unit — the ratio is all that matters, so either unit works as long as they match.
Where lever questions fit in the full mechanical aptitude test
Levers are just one of about ten mechanical topics a test can draw on. The moment/torque thinking you’ve learned here carries straight over to several neighbours — gears, pulleys and springs all reward the same “force versus distance” instinct. Drill each one and no diagram on the test will surprise you.
| Topic | Core idea | Practice it |
|---|---|---|
| Levers | Weight × distance from the fulcrum (moments) | You’re here |
| Gears | Tooth ratios set speed and torque | Gears drill → |
| Pulleys | Count supporting strands for mechanical advantage | Pulleys drill → |
| Springs | Series vs parallel; stiffness and load | Springs drill → |
| Hand & power tools | Many tools are levers — recognise them | Tools drill → |
Want the whole picture first? The mechanical aptitude test ultimate guide maps every topic, or jump straight to the sample questions hub to see them all in one place.
Not affiliated with or endorsed by any test owner. Unofficial practice material — original simulated questions only.
Frequently asked questions about lever questions
What is the formula for a lever question?
The law of the lever: effort × effort arm = load × load arm. In plain terms, weight times its distance from the fulcrum must be equal on both sides for the bar to balance. Rearrange it to find whichever value the question leaves out — a missing force or a missing distance.
How do I know which class a lever is?
Look at which part sits in the middle. Fulcrum in the middle is a first-class lever (seesaw, crowbar); load in the middle is second-class (wheelbarrow); effort in the middle is third-class (tweezers, broom). The mnemonic F–L–E maps to classes 1–2–3.
How do I calculate the mechanical advantage of a lever?
Divide the effort arm by the load arm. An effort arm of 6 ft and a load arm of 2 ft gives a mechanical advantage of 3, so your force is tripled. Second-class levers always exceed 1; third-class levers are always below 1.
Which tests have lever questions?
Levers appear in the mechanical-comprehension section of the Bennett (BMCT-II), Ramsay MAT, Wiesen (WTMA), EIAT, EEI CAST and the ASVAB mechanical subtest, among others. The style and the underlying rule are the same across all of them.
How long should a lever question take?
Plan for about 30 to 50 seconds. Pictorial “least effort” items should take only a few seconds once you look for the longest effort arm; calculation items take a little longer to multiply and divide. Practising the four-step method is what gets you comfortably inside that window.
Do I always measure distance from the fulcrum?
Yes. Every distance in a lever calculation is measured from the pivot, never from the end of the bar or from another weight. This is the most common source of wrong answers, so make circling the fulcrum your very first move on each question.
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