CFAT – Canadian Forces Aptitude Test — Questions and Answers

Question 1: What is 7/8 × 4/3?

11/11
7/6 (Correct answer)
5/4
28/24

Correct answer: 7/6

7 × 4 = 28 and 8 × 3 = 24, giving 28/24, which simplifies to 7/6.

Question 2: A patrol departs at 14:45 and the mission lasts 3 hours 40 minutes. What time does the patrol return?

18:45
18:25 (Correct answer)
18:15
17:25

Correct answer: 18:25

14:45 + 3 hours = 17:45; 17:45 + 40 minutes = 18:25.

Question 3: A lamp's watt rating is 60. After 10 hours of operation, how many kWh does it consume?

6 kWh
0.06 kWh
16 kWh
0.6 kWh (Correct answer)

Correct answer: 0.6 kWh

To calculate energy consumption in kilowatt-hours (kWh), multiply the power in watts by the time in hours, then divide by 1000. Here, (60 Watts * 10 Hours) / 1000 = 600 / 1000 = 0.6 kWh. This conversion is essential for understanding electricity usage.

Question 4: What is histionic speech?

A melodramatic speech (Correct answer)
A memorable speech
A funny speech
A speech that draws on historical facts

Correct answer: A melodramatic speech

The word 'histrionic' describes something that is overly theatrical or melodramatic in character or style. Therefore, 'histrionic speech' refers to a speech that is excessively dramatic, exaggerated, or emotional. 'A melodramatic speech' is the most accurate definition among the choices.

Question 5: In a figure series, the number of shaded squares follows the Fibonacci sequence: 1, 1, 2, 3, 5, ... How many squares are shaded in figure 6?

10
9
7
8 (Correct answer)

Correct answer: 8

Each Fibonacci term is the sum of the two before it: 1, 1, 2, 3, 5, 8 — figure 6 has 8 shaded squares.

Question 6: The net of a cylinder consists of two circles and one rectangle. The dimension of the rectangle that wraps around the cylinder must equal:

The area of one circular end
The circumference of the circular ends (Correct answer)
The diameter of the circular ends
The radius of the circular ends

Correct answer: The circumference of the circular ends

The rectangle wraps around the curved surface of the cylinder, so its wrapping dimension must equal the circumference (2πr) of the circular ends.

Question 7: Which of the following is divisible by both 4 and 6?

26
24 (Correct answer)
18
20

Correct answer: 24

24 ÷ 4 = 6 and 24 ÷ 6 = 4, so 24 is divisible by both.

Question 8: What comes next: 2, 6, 18, 54, ?

162 (Correct answer)
324
216
108

Correct answer: 162

Each term is multiplied by 3, so 54 × 3 = 162.

Question 9: CARTOGRAPHER is to MAPS as LEXICOGRAPHER is to:

Grammars
Laws
Dictionaries (Correct answer)
Libraries

Correct answer: Dictionaries

A cartographer makes maps; a lexicographer compiles and writes dictionaries.

Question 10: Choose the word most OPPOSITE in meaning to BENEVOLENT.

Charitable
Malevolent (Correct answer)
Generous
Peaceful

Correct answer: Malevolent

Benevolent means well-meaning and kind; its antonym is malevolent, meaning having evil intentions.

Question 11: A magazine holds 48 rounds. A soldier fires 1/3 in the morning and 1/4 of the remainder in the afternoon. How many rounds remain?

28
24 (Correct answer)
20
16

Correct answer: 24

After morning: 48 − 16 = 32; after afternoon: 32 − 8 = 24 rounds remain.

Question 12: Looking at an object from the front you see a circle, from the side a rectangle, and from the top a circle. What is the object most likely to be?

Cylinder (Correct answer)
Cone
Sphere
Cube

Correct answer: Cylinder

A cylinder viewed from the front and top shows circles, and from the side shows a rectangle.

Question 13: A vehicle uses 8 litres per 100 km. Traveling at 80 km/h, how long can it run on a full 48-litre tank?

6 hours
5.5 hours
6.5 hours
7.5 hours (Correct answer)

Correct answer: 7.5 hours

Range = (48 ÷ 8) × 100 = 600 km; time = 600 ÷ 80 = 7.5 hours.

Question 14: A figure series shows a rectangle divided by horizontal lines. Figure 1 has 1 line (2 sections), figure 2 has 2 lines (3 sections). How many sections does figure 6 contain?

8 sections
6 sections
7 sections (Correct answer)
5 sections

Correct answer: 7 sections

Each figure n has n lines and n+1 sections, so figure 6 has 6 lines creating 7 sections.

Question 15: A soldier earns $48,000 per year and pays 22% tax on income above $15,000. How much income tax does he pay?

$7,260 (Correct answer)
$6,600
$10,560
$5,720

Correct answer: $7,260

Taxable income = $48,000 − $15,000 = $33,000; tax = $33,000 × 0.22 = $7,260.

Question 16: A pentagon has one highlighted side that advances clockwise each step. The cycle has 5 positions. Which side is highlighted in the 7th figure?

2nd side (right) (Correct answer)
1st side (bottom)
5th side (top-left)
3rd side (top-right)

Correct answer: 2nd side (right)

7 mod 5 = 2, so the 7th figure highlights the 2nd side in the clockwise sequence.

Question 17: Which 3D shape has a net consisting of one rectangle and two circles?

Cylinder (Correct answer)
Rectangular prism
Sphere
Cone

Correct answer: Cylinder

A cylinder's net is one rectangle (the curved lateral surface unrolled flat) plus two circles (the top and bottom caps).

Question 18: A line is drawn on the 2D pattern of a cube as shown. The pattern is a cross shape. A straight line starts at the midpoint of the left edge of the central square, passes through its center, and ends at the midpoint of its right edge. A second straight line is on the square to the right of the central square; it runs from the midpoint of its left edge to its center. Which option shows the resulting line on the folded cube?

A continuous straight line that crosses from the front face to the right-side face, ending at the center of the right-side face. (Correct answer)
Two separate, unjoined lines on adjacent faces.
A continuous line that forms a right angle at the edge between two faces.
A continuous 'T' shape across two faces.

Correct answer: A continuous straight line that crosses from the front face to the right-side face, ending at the center of the right-side face.

The line on the central square crosses it completely from the left edge to the right edge. The line on the right-hand square starts at its left edge (which it shares with the central square's right edge) and goes to its center. When folded, the right edge of the central square joins with the left edge of the right-hand square. The two lines will meet at this edge and form a single, continuous straight line that starts at the center of the left face, crosses the entire front face, and continues to the center of the right face.

Question 19: BRAZEN is to TIMID as FRUGAL is to:

Generous
Careful
Thrifty
Wasteful (Correct answer)

Correct answer: Wasteful

Brazen (bold) is the opposite of timid; frugal (economical) is the opposite of wasteful.

Question 20: A different way to say "cheering someone up" is:

Exaggerate
Exhilarate (Correct answer)
Exclave
Exhale

Correct answer: Exhilarate

To 'exhilarate' means to make someone feel very happy, animated, or thrilled, which is synonymous with 'cheering someone up.' The other options, 'exaggerate' (to overstate), 'exclave' (a portion of territory), and 'exhale' (to breathe out), have entirely different meanings.

Question 21: Identify the pair of antonyms.

Encourage and Urge
Collaborate and Combine
Liaise and Uncoordinated (Correct answer)
Coalesce and Coordinate

Correct answer: Liaise and Uncoordinated

To identify antonyms, we examine each pair. 'Encourage' and 'Urge' are synonyms. 'Collaborate' and 'Combine' are synonyms. 'Coalesce' and 'Coordinate' are closely related in meaning. 'Liaise' means to cooperate and communicate, while 'Uncoordinated' means lacking organization or cooperation, making them antonyms.

Question 22: A plane flies 450 km in 1.5 hours. How long will it take to fly 900 km at the same speed?

3.5 hours
3 hours (Correct answer)
2.5 hours
2 hours

Correct answer: 3 hours

Speed = 300 km/h; time = 900 ÷ 300 = 3 hours.

Question 23: A triangular arrangement shows circles in rows: row 1 has 1 circle, row 2 has 2, row 3 has 3, and so on. How many circles total appear in a figure showing 5 complete rows?

20
10
15 (Correct answer)
12

Correct answer: 15

The total follows triangular numbers: 1+2+3+4+5 = 15.

Question 24: A matrix rule states: each cell's shape has one more side than the cell to its left. Row 1 starts with a triangle in column 1. What shape is in row 1, column 4?

Pentagon
Square
Hexagon (Correct answer)
Heptagon

Correct answer: Hexagon

Triangle (3) → square (4) → pentagon (5) → hexagon (6) in column 4.

Question 25: A cube has a different color on each face. Green is opposite Red, and Blue is opposite Yellow. Which must be the third pair of opposite faces?

Orange and Purple (Correct answer)
Green and Blue
Red and Yellow
Orange and Blue

Correct answer: Orange and Purple

With Green-Red and Blue-Yellow identified, the only remaining pair of faces must be Orange and Purple.

Question 26: A soldier uses 40% of his rations on day 1, then 25% of the remainder on day 2. What percentage of the original rations remains?

50%
45% (Correct answer)
35%
40%

Correct answer: 45%

After day 1, 60% remains; 60% × 75% = 45% of original.

Question 27: A military convoy travels from Base A to Base B. The first 180 km of the trip is on a paved highway at an average speed of 90 km/h. The remaining 70 km is on a dirt road at an average speed of 40 km/h. What is the total travel time for the entire journey?

4 hours
3 hours, 15 minutes
2 hours, 50 minutes
3 hours, 45 minutes (Correct answer)

Correct answer: 3 hours, 45 minutes

The problem must be solved in two parts. First, calculate the time for the highway portion: Time = Distance / Speed = 180 km / 90 km/h = 2 hours. Second, calculate the time for the dirt road portion: Time = 70 km / 40 km/h = 1.75 hours. The total travel time is the sum of the two parts: 2 hours + 1.75 hours = 3.75 hours. To convert 0.75 hours to minutes, multiply by 60 (0.75 * 60 = 45 minutes). The total time is 3 hours and 45 minutes.

Question 28: A machine at a factory produces 150 bolts in 3 minutes. At this constant rate, how many bolts can the machine produce in 2 hours?

4,500
3,000
6,000 (Correct answer)
9,000

Correct answer: 6,000

First, calculate the machine's production rate per minute: 150 bolts / 3 minutes = 50 bolts per minute. Next, convert the total time to minutes: 2 hours * 60 minutes/hour = 120 minutes. Finally, multiply the rate by the total time to find the total output: 50 bolts/minute * 120 minutes = 6,000 bolts.

Question 29: Two soldiers start at opposite ends of a 30 km road. Soldier A walks at a speed of 4 km/h, and Soldier B walks at a speed of 6 km/h. If they both start at the same time and walk towards each other, how long will it take for them to meet?

5 hours
3 hours (Correct answer)
7.5 hours
2.5 hours

Correct answer: 3 hours

Since the soldiers are walking towards each other, their relative speed is the sum of their individual speeds: 4 km/h + 6 km/h = 10 km/h. To find the time it takes for them to meet, divide the initial distance by their combined speed: Time = 30 km / 10 km/h = 3 hours.

Question 30: A pattern shows a sequence: triangle, square, pentagon, hexagon. What comes next?

Circle
Octagon
Square
Heptagon (Correct answer)

Correct answer: Heptagon

The pattern increases the number of sides by one each time: 3, 4, 5, 6, so the next shape has 7 sides (heptagon).

Question 31: Three teams — Alpha, Bravo, Charlie — each completed a different task: navigation, communications, or first aid. Alpha did not do navigation. Bravo did not do first aid. Charlie did communications. Which team did navigation?

Bravo (Correct answer)
Alpha
Charlie
Cannot be determined

Correct answer: Bravo

Charlie = communications; Alpha excluded from navigation → Alpha = first aid; leaving navigation for Bravo.

Question 32: A fuel tank is 3/8 full. After adding 30 liters it is 5/8 full. What is the tank's total capacity?

80 liters
60 liters
120 liters (Correct answer)
100 liters

Correct answer: 120 liters

30 liters = 5/8 − 3/8 = 2/8 = 1/4 of the tank; total capacity = 30 ÷ (1/4) = 120 L.

Question 33: Select the correctly spelled word.

Necessary (Correct answer)
Occurance
Seperate
Existance

Correct answer: Necessary

Necessary is the only correctly spelled word; the others are common misspellings.

Question 34: Each figure in a series is rotated 45° clockwise and gains one dot. Figure 1 has 1 dot and points North. Which direction does figure 3 point?

Southeast
Northeast
South
East (Correct answer)

Correct answer: East

Two 45° clockwise rotations from North equal 90° total, pointing the arrow East by figure 3.

Question 35: The sergeant's decision was _______ by the entire squad, who believed it was the safest course of action.

dismissed
undermined
challenged
supported (Correct answer)

Correct answer: supported

"Supported" means backed or endorsed, fitting a situation where the squad agreed with the decision.

Question 36: COPPER is to CONDUCTOR as RUBBER is to:

Insulator (Correct answer)
Resistor
Magnet
Conductor

Correct answer: Insulator

Copper is a material that functions as a conductor of electricity; rubber is a material that functions as an insulator.

Question 37: The sum of three consecutive even numbers is 78. What is the largest of the three numbers?

24
26
28 (Correct answer)
30

Correct answer: 28

If the smallest is x, then x + (x+2) + (x+4) = 78 gives x = 24, so the largest is 28.

Question 38: In a figure series, a triangle is flipped vertically (top-bottom) with each step. Figure 1 shows △ (pointing up). What does figure 4 show?

△ (pointing up)
▷ (pointing right)
▽ (pointing down) (Correct answer)
◁ (pointing left)

Correct answer: ▽ (pointing down)

Flipping each step: △→▽→△→▽; figure 4 is in the flipped (downward) position.

Question 39: What does 'arbitrary' mean?

Logical and systematic
Random and based on personal whim rather than reason (Correct answer)
Based on clear rules
Carefully planned in advance

Correct answer: Random and based on personal whim rather than reason

'Arbitrary' describes a decision or action based on random choice rather than any reason or system.

Question 40: A rectangular training field has an area of 5,000 square metres. If the length of the field is twice its width, what is the perimeter of the field?

300 m (Correct answer)
250 m
200 m
500 m

Correct answer: 300 m

Let the width be 'w'. Then the length is '2w'. The area is length × width, so 2w × w = 5000, which simplifies to 2w² = 5000. Divide by 2 to get w² = 2500. The square root of 2500 is 50, so the width is 50 m. The length is 2 × 50 = 100 m. The perimeter is 2 × (length + width) = 2 × (100 + 50) = 2 × 150 = 300 m.

Question 41: OPAQUE is to TRANSPARENT as DENSE is to:

Sparse (Correct answer)
Thick
Heavy
Dark

Correct answer: Sparse

Opaque (not allowing light through) is the opposite of transparent; dense (thick, crowded) is the opposite of sparse.

Question 42: In a substitution cipher, each letter is shifted 3 places forward (A→D, B→E, …). The encoded word is EDWWOH. What is the original word?

ATTACK
CHARGE
BATTLE (Correct answer)
COMBAT

Correct answer: BATTLE

Shifting each letter back 3 places: E→B, D→A, W→T, W→T, O→L, H→E gives BATTLE.

Question 43: PHYSICIAN is to PATIENT as ATTORNEY is to:

Judge
Client (Correct answer)
Verdict
Courtroom

Correct answer: Client

A physician provides professional services to a patient, just as an attorney provides professional services to a client.

Question 44: What is the next term: 2, 2, 4, 12, 48, ?

240 (Correct answer)
96
120
288

Correct answer: 240

Each term is multiplied by an increasing integer (×1, ×2, ×3, ×4, ×5), so 48 × 5 = 240.

Question 45: DROUGHT is to CROPS as RECESSION is to:

Businesses (Correct answer)
Wages
Economy
Banks

Correct answer: Businesses

A drought devastates crops just as a recession devastates businesses.

Question 46: A triangular prism has 2 triangular ends and 3 rectangular sides. Its complete net contains how many shapes total?

6
4
5 (Correct answer)
3

Correct answer: 5

The net contains 5 shapes: 2 triangles and 3 rectangles representing all faces of the prism.

Question 47: What comes next: 17, 14, 11, 8, 5, ?

2 (Correct answer)
3
4
1

Correct answer: 2

Each term decreases by 3, so 5 − 3 = 2.

Question 48: Square is to 4 as Hexagon is to ___

12
5
8
6 (Correct answer)

Correct answer: 6

A square has 4 sides; a hexagon has 6 sides — the relationship is shape to its number of sides.

Question 49: You want face X to be directly opposite face Y in a folded cube. In the net, faces X and Y must be:

Exactly 1 square apart along any path
Any distance — distance in the net does not matter
At least 2 squares apart along any path in the net (Correct answer)
Exactly 2 squares apart along any path

Correct answer: At least 2 squares apart along any path in the net

Faces that are adjacent in the net share an edge in the cube and can never be opposite — so opposite faces must always be at least 2 squares apart in the net.

Question 50: A square has a dot in its top-left corner. After a 90° clockwise rotation, where is the dot?

Top-right corner (Correct answer)
Bottom-right corner
Center
Bottom-left corner

Correct answer: Top-right corner

A 90° clockwise rotation maps top-left to top-right.

Question 51: What is the synonym for "impregnable"?

Impossible
Imperfect
Unconquerable (Correct answer)
Unlimited

Correct answer: Unconquerable

The word 'impregnable' means unable to be captured or broken into, or unable to be defeated or overcome. 'Unconquerable' directly conveys this meaning of being impossible to defeat or overcome. The other options do not accurately reflect this sense of invincibility.

Question 52: A shape with a bump on its RIGHT side is reflected across a vertical mirror line. Where is the bump on the reflected image?

Top
Bottom
Right side
Left side (Correct answer)

Correct answer: Left side

Vertical reflection swaps left and right, so the bump moves to the left side.

Question 53: Two squares in a cube net are separated by exactly one square between them along any path. In the finished cube, these two squares are:

Either adjacent or opposite, depending on the net layout (Correct answer)
Always adjacent faces sharing an edge
Never touching faces
Always opposite faces

Correct answer: Either adjacent or opposite, depending on the net layout

Squares separated by one square can become either opposite or adjacent faces — the overall net layout determines which.

Question 54: An item is marked up by 20% and sells for $96. What was the original cost?

$80 (Correct answer)
$82
$76
$78

Correct answer: $80

$96 represents 120% of the cost, so original cost = $96 ÷ 1.20 = $80.

Question 55: Find the next number: 3, 5, 9, 17, 33, ?

49
65 (Correct answer)
57
66

Correct answer: 65

Each term equals (previous × 2) − 1, so 33 × 2 − 1 = 65.

Question 56: What is the next term: 5, 6, 8, 11, 15, 20, ?

26 (Correct answer)
27
24
25

Correct answer: 26

Differences increase by 1 each step (1, 2, 3, 4, 5, 6), so 20 + 6 = 26.

Question 57: What is the meaning of 'meticulous'?

Approximate and rough
Very careful and paying great attention to detail (Correct answer)
Careless and rushed
Hasty and imprecise

Correct answer: Very careful and paying great attention to detail

'Meticulous' describes someone who is very careful and precise, paying close attention to every detail.

Question 58: A repair job takes 3 technicians 6 hours. How long would it take 9 technicians working at the same rate?

2 hours (Correct answer)
1 hour
4 hours
3 hours

Correct answer: 2 hours

Total work = 3 × 6 = 18 man-hours; 18 ÷ 9 = 2 hours.

Question 59: Which three-dimensional figure can be formed by folding a cross-shaped net made of six equal squares?

Rectangular prism
Triangular prism
Hexagonal prism
Cube (Correct answer)

Correct answer: Cube

A cross-shaped net of six equal squares folds into a cube, with each square becoming one face.

Question 60: What is 5/6 − 1/4?

7/12 (Correct answer)
2/3
3/10
4/2

Correct answer: 7/12

Common denominator is 12: 10/12 − 3/12 = 7/12.

CFAT – Canadian Forces Aptitude Test

The Canadian Forces Aptitude Test (CFAT) is a mandatory multiple-choice aptitude test administered by the Canadian Armed Forces to all applicants. It consists of 60 questions across three sections — Verbal Skills, Spatial Ability, and Problem Solving — with a total time limit of 60 minutes. There is no single passing score; the required score varies by military occupation.

Questions

60 min

Time Limit

50%

To Pass

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