EEI TOSS Practice Questions (2026) — Free Sample Questions with Answers

15 free EEI TOSS questions from our 150-question bank, grouped by content domain. Each answer explains why the right option is right — and why every wrong option is wrong.

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Graphic Problem Solving

Question 1

Each mast section overlaps the section below it by the amount shown; what is the length (X) of the top section?

GROUND12′(X)12′1′1′OVERLAPOVERLAP32′BASE SECTIONMIDDLE SECTIONTOP SECTION
Not drawn to scale.
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Answer: C

  1. 1. Height = base + middle + top − overlaps
  2. 2. 32 = 12 + 12 + X − 1 − 1 = 22 + X
  3. 3. X = 32 − 22 = 10′

8′: Ignored both 1′ overlaps: 32 − 12 − 12 = 8′.

9′: Allowed for only one of the two 1′ overlaps.

10′: Correct. Overlaps hide 1′ at each of the two splices, so the sections add to 2′ more than the height: 12 + 12 + X − 1 − 1 = 32, so X = 10′.

12′: Added each 1′ overlap back twice (32 − 24 + 4).

Where parts overlap, the overall length is the sum of the parts minus every overlap; add the overlaps back when working out a missing part.

Question 2

Four identical pipes rest on the support with equal 3″ gaps; what is the overall width (W) across the outside of the pipes?

SUPPORT BEAMPIPE4″3″4 IDENTICAL PIPES(W)
Not drawn to scale.
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Answer: D

  1. 1. Pipes: 4 × 4″ = 16″
  2. 2. Gaps between 4 pipes: 3 × 3″ = 9″
  3. 3. W = 16 + 9 = 25″

16″: Added the four 4″ pipes but left out the gaps.

21″: This is the center-to-center distance from the first pipe to the last, which leaves out half a pipe at each end.

22″: Counted only two 3″ gaps between four pipes.

25″: Correct. Four 4″ pipes and the three 3″ gaps between them: W = 4 × 4 + 3 × 3 = 16 + 9 = 25″.

An outside-to-outside width counts every part in full plus the gaps between them.

Question 3

What is the total length of cable (L) needed to follow the path shown from the top of the cabinet to the top of the rack?

CABINETRACKCEILING TRAY3′-8″12′-6″4′-10″CABLE PATH (L)
Not drawn to scale.
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Answer: C

  1. 1. Feet: 3 + 12 + 4 = 19′
  2. 2. Inches: 8 + 6 + 10 = 24″ = 2′-0″
  3. 3. L = 19′ + 2′ = 21′-0″

19′-0″: Added the feet and dropped the 24″ that the inches add up to.

20′-0″: Carried only 1′ for the 24″; 24″ is 2′.

21′-0″: Correct. Feet: 3 + 12 + 4 = 19′; inches: 8 + 6 + 10 = 24″ = 2′; L = 19′ + 2′ = 21′-0″.

21′-4″: Treated 24″ as 2′-4″, as if a foot had 10 inches.

Add feet and inches separately, then convert every 12 inches into a foot.

Question 4

What is the area, in square inches, of the flat L-shaped bracket blank shown before it is bent?

BRACKET BLANK10″8″4″5″
Not drawn to scale.
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Answer: B

  1. 1. Overall rectangle: 10 × 8 = 80 square inches
  2. 2. Notch: 4 × 5 = 20 square inches
  3. 3. Area = 80 − 20 = 60 square inches

36 sq in: This is the perimeter, 2 × (10 + 8), not the area.

60 sq in: Correct. The full 10″ × 8″ rectangle is 80 square inches; the 4″ × 5″ notch is missing: 80 − 20 = 60 square inches.

70 sq in: Took the notch as a triangle (½ × 4 × 5 = 10) instead of a rectangle.

80 sq in: Used the overall 10″ × 8″ rectangle without removing the notch.

Find the area of an L shape as the enclosing rectangle minus the missing corner rectangle.

Interpreting Diagrams

Question 5
Fiber route map
ABCD123COSC1SC7SC2SC3SC4SC5SC6FDH-1FDH-2FDH-3FDH-6FDH-4FDH-5FDH-7LEGENDSplice caseFiber cabinet (FDH)Aerial fiber cableUnderground fiber cable
Sector names are a column letter plus a row number (for example, B2).

Map notes: All fiber starts at the CO (central office) in sector B1. A cabinet has service only if an unbroken cable path joins it to the CO. Thin lines are sector boundaries.

If the aerial cable is cut just east of SC1 and the underground cable is cut just south of SC4, how many cabinets still have service?

Show answer & explanation

Answer: C

  1. 1. Aerial cut east of SC1: SC1 and its south branch to FDH-6 stay connected; SC7, SC2, SC3 and FDH-1, -2, -3 are cut off.
  2. 2. Underground cut south of SC4: SC4 and its west branch to FDH-5 stay connected; SC5, SC6, FDH-4 and FDH-7 are cut off.
  3. 3. Cabinets with service: FDH-5 and FDH-6 = 2.

0: Treated SC1 and SC4 as cut off too; both are on the CO side of the cuts, so their branches still work.

1: Kept only one of the two surviving branches: FDH-6 (south from SC1) and FDH-5 (west from SC4) both keep service.

2: Correct. West of the aerial cut, SC1 still feeds FDH-6; north of the underground cut, SC4 still feeds FDH-5. FDH-1, -2, -3, -4 and -7 lose their only path.

3: Assumed one of the cabinets beyond a cut, such as FDH-7, could be reached another way; this route map has no loops.

On a branching (tree) route, a cut removes everything beyond it but leaves branches that leave the route before the cut.

Question 6
Fiber route map
ABCD123COSC1SC7SC2SC3SC4SC5SC6FDH-1FDH-2FDH-3FDH-6FDH-4FDH-5FDH-7LEGENDSplice caseFiber cabinet (FDH)Aerial fiber cableUnderground fiber cable
Sector names are a column letter plus a row number (for example, B2).

Map notes: All fiber starts at the CO (central office) in sector B1. A cabinet has service only if an unbroken cable path joins it to the CO. Thin lines are sector boundaries.

In which sector is the cabinet fed by the aerial cable that runs south from SC1?

Show answer & explanation

Answer: D

B1: B1 holds the CO, where the aerial cable starts; the cabinet is at the end of the branch running south from SC1.

B2: B2 holds SC4 on the underground cable; the cabinet that SC4 feeds (FDH-5) is in A2.

C1: C1 holds SC1 itself, where the branch starts, not the cabinet at its end.

C2: Correct. The solid line from SC1 runs straight down to FDH-6, which sits in row 2 of column C.

Follow the named cable from its starting symbol to its end before reading the sector.

Question 7
Fiber route map
ABCD123COSC1SC7SC2SC3SC4SC5SC6FDH-1FDH-2FDH-3FDH-6FDH-4FDH-5FDH-7LEGENDSplice caseFiber cabinet (FDH)Aerial fiber cableUnderground fiber cable
Sector names are a column letter plus a row number (for example, B2).

Map notes: All fiber starts at the CO (central office) in sector B1. A cabinet has service only if an unbroken cable path joins it to the CO. Thin lines are sector boundaries.

How many splice cases are on the underground fiber cable?

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Answer: A

  1. 1. The underground cable is the dashed line leaving the bottom of the CO.
  2. 2. Splice cases on it: SC4, SC5, SC6.
  3. 3. SC1, SC2, SC3 and SC7 are on solid (aerial) lines. Total: 3.

3: Correct. SC4, SC5 and SC6 sit on the dashed underground cable; the other four splice cases are on the aerial cable.

4: Also counted SC1, which is on the solid aerial cable just east of the CO, not on the underground cable.

5: Counted two of the underground cabinets (open squares) as splice cases.

6: Counted all three underground cabinets, FDH-4, FDH-5 and FDH-7, as splice cases.

Count by the line style that runs through each symbol.

Question 8

How many splice cases are in sector C1?

Fiber route map
ABCD123COSC1SC7SC2SC3SC4SC5SC6FDH-1FDH-2FDH-3FDH-6FDH-4FDH-5FDH-7LEGENDSplice caseFiber cabinet (FDH)Aerial fiber cableUnderground fiber cable
Sector names are a column letter plus a row number (for example, B2).

Map notes: All fiber starts at the CO (central office) in sector B1. A cabinet has service only if an unbroken cable path joins it to the CO. Thin lines are sector boundaries.

Show answer & explanation

Answer: B

  1. 1. C1 is column C, row 1.
  2. 2. Filled circles there: SC1 and SC7.
  3. 3. SC2 lies just past the C/D line, in D1. Total: 2.

1: Missed SC1, which sits just east of the B/C boundary and is therefore in C1.

2: Correct. SC1 (just east of the B/C line) and SC7 are the two filled circles on the aerial cable in C1.

3: Also counted SC2, which is just east of the C/D boundary in D1.

4: Counted SC2 and the CO building as well; the CO is in B1 and SC2 is in D1.

Check each symbol near a boundary against the sector lines before counting it.

Mechanical Concepts

Question 9

Cart X (150 lb) rolls right at 4 ft/s and Cart Y (200 lb) rolls left at 3 ft/s. They collide and couple. Which way do they move just after? (If they stop, mark C.)

CART X150 lb4 ft/sCART Y200 lb3 ft/sABDirections
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Answer: C

  1. 1. Cart X: 150 lb × 4 ft/s = 600, to the right.
  2. 2. Cart Y: 200 lb × 3 ft/s = 600, to the left.
  3. 3. 600 − 600 = 0, so the coupled carts do not move.

Direction A: Chose the faster cart's direction; Cart X is faster but lighter, so its momentum is no larger than Cart Y's.

Direction B: Chose the heavier cart's direction; Cart Y is heavier but slower, so its momentum is no larger than Cart X's.

The carts stop: Correct. Momentum is weight times speed. Cart X has 150 × 4 = 600 to the right and Cart Y has 200 × 3 = 600 to the left. The two are equal and opposite, so the coupled carts stop.

Compare momentum (weight × speed), not weight or speed alone; equal and opposite momenta cancel.

Question 10

Oil under pressure can enter the double-acting cylinder at Port A or Port B. Where must the oil enter to push the rod out and close the gate? (If both, mark C.)

WALLPISTONRODGATESTOPABCLOSE
Double-acting oil cylinder with ports at both ends.
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Answer: A

Port A: Correct. Oil entering Port A presses on the left face of the piston and pushes it away from that port, to the right, so the rod extends and closes the gate.

Port B: Oil at Port B pushes on the right face of the piston, which pulls the rod in and opens the gate.

Either port (A or B): Each port pushes the piston in only one direction, so the choice of port decides the motion.

Pressure on a piston face pushes the piston away from the port where the fluid enters.

Question 11

An 8 ft lifting bar carries a 300 lb pump at its left end and a 100 lb valve at its right end. Ignoring the bar’s weight, where should the hook attach so the bar hangs level?

300 lb100 lbABC2 ft2 ft2 ft2 ftPUMPVALVE
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Answer: A

Point A: Correct. The bar hangs level when the hook is directly over the centre of gravity. At A, 2 ft from the pump: 300 × 2 = 600 and 100 × 6 = 600, so the turning effects balance.

Point B: Point B is the middle of the bar. That would balance only equal loads; the heavier pump would make the left end drop.

Point C: Point C is on the side of the lighter valve, so the 300 lb pump would swing the left end down even harder.

A load hangs level only when the lift point is directly above its centre of gravity, which lies closer to the heavier end.

Question 12

A worker pulls straight down to hold the 120 lb load still. The pulleys are frictionless and weightless. Which ceiling hook carries the greater load? (If equal, mark C.)

Hook AHook BPull120 lb
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Answer: B

Hook A: Hook A holds only the rope’s end. With two segments on the movable pulley, the rope tension is 60 lb, so hook A carries 60 lb.

Hook B: Correct. The rope tension is 120 ÷ 2 = 60 lb. Hook A holds one rope end (60 lb). Hook B’s pulley has the rope pulling down on both sides, 60 lb toward the load and 60 lb toward the worker, so hook B carries 120 lb.

Both hooks carry the same load: Hook A takes one rope segment, but hook B’s pulley takes two (the segment from the load and the worker’s pull), so B carries twice as much.

A fixed pulley’s support carries the rope tension once for every rope run pulling on it, including the run the worker pulls.

Reasoning from Rules

Question 13

You send material requests from field crews to one of four reviewers.

Requests are sent according to the following rules:

1. Stock items (kept in the warehouse):

– If the total cost is $2,000 or less, send the request to Reviewer 1.

– If the total cost is over $2,000, send the request to Reviewer 2.

2. Non-stock items:

– If the material is needed in 3 days or fewer, send the request to Reviewer 3.

– If the material is needed in more than 3 days and the total cost is over $2,000, send the request to Reviewer 2.

3. In all other cases, send the request to Reviewer 4.

If a request for non-stock items totals $2,400 and the material is needed in 3 days, it should be sent to:

Show answer & explanation

Answer: C

  1. 1. Rule 1: not stock → no.
  2. 2. Rule 2, first branch: needed in 3 days, which is 3 or fewer → Reviewer 3.

Reviewer 1: Reviewer 1 is for stock items costing $2,000 or less.

Reviewer 2: Applied the cost branch, which also requires more than 3 days; this material is needed in exactly 3 days.

Reviewer 3: Correct. Rule 2 covers non-stock items, and "3 days or fewer" includes 3 days, so the first branch sends it to Reviewer 3. The cost is not tested by that branch.

Reviewer 4: Applied the default rule although Rule 2's first branch fits.

"Or fewer" includes the boundary value; check the boundary before moving to the next branch.

Question 14

You send material requests from field crews to one of four reviewers.

Requests are sent according to the following rules:

1. Stock items (kept in the warehouse):

– If the total cost is $2,000 or less, send the request to Reviewer 1.

– If the total cost is over $2,000, send the request to Reviewer 2.

2. Non-stock items:

– If the material is needed in 3 days or fewer, send the request to Reviewer 3.

– If the material is needed in more than 3 days and the total cost is over $2,000, send the request to Reviewer 2.

3. In all other cases, send the request to Reviewer 4.

If a request for non-stock items totals $1,500 and the material is needed in 7 days, it should be sent to:

Show answer & explanation

Answer: D

  1. 1. Rule 1: not stock → no.
  2. 2. Rule 2, first branch: 7 days is not 3 or fewer → no.
  3. 3. Rule 2, second branch: more than 3 days, yes; over $2,000, no → no.
  4. 4. Rule 3 → Reviewer 4.

Reviewer 1: Reviewer 1 is for stock items only.

Reviewer 2: The second non-stock branch needs a total over $2,000; this request is $1,500.

Reviewer 3: Reviewer 3 needs the material in 3 days or fewer; it is needed in 7 days.

Reviewer 4: Correct. Rule 2 covers non-stock items, but 7 days fails the first branch and $1,500 fails the second, so Rule 3 sends it to Reviewer 4.

Both conditions of a two-condition branch must be met; one miss sends the case on to the default.

Question 15

If a request for stock items totals $850 and the material is needed in 10 days, it should be sent to:

You send material requests from field crews to one of four reviewers.

Requests are sent according to the following rules:

1. Stock items (kept in the warehouse):

– If the total cost is $2,000 or less, send the request to Reviewer 1.

– If the total cost is over $2,000, send the request to Reviewer 2.

2. Non-stock items:

– If the material is needed in 3 days or fewer, send the request to Reviewer 3.

– If the material is needed in more than 3 days and the total cost is over $2,000, send the request to Reviewer 2.

3. In all other cases, send the request to Reviewer 4.

Show answer & explanation

Answer: A

  1. 1. Rule 1 (stock), first branch: $850 ≤ $2,000 → Reviewer 1.

Reviewer 1: Correct. Rule 1 covers stock items, and $850 is $2,000 or less, so Reviewer 1. The delivery time is tested only for non-stock items.

Reviewer 2: Reviewer 2 takes stock requests only when they cost over $2,000.

Reviewer 3: Reviewer 3 is for non-stock items needed in 3 days or fewer.

Reviewer 4: Applied the default rule although Rule 1 assigns this request.

Identify the item category first; each rule tests only its own conditions.

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