NSW Opportunity Class (OC) Placement Test — Questions and Answers

Question 1: In a 4×4 grid, how many individual 1×1 squares are there?

12
20
14
16 (Correct answer)

Correct answer: 16

A 4×4 grid contains 4 × 4 = 16 individual unit squares.

Question 2: If all Blips are Blaps, and all Blaps are Blops, which statement must be true?

No Blips are Blops
Some Blops are Blips
All Blips are Blops (Correct answer)
All Blops are Blips

Correct answer: All Blips are Blops

Since Blips→Blaps and Blaps→Blops, by transitivity all Blips must also be Blops.

Question 3: What is the missing number: 7, ___, 21, 28, 35?

14 (Correct answer)
16
10
12

Correct answer: 14

This is the 7 times table, so the missing term is 7 × 2 = 14.

Question 4: Which of the following is NOT necessarily a property of a parallelogram?

Diagonals bisect each other
All angles are right angles (Correct answer)
Opposite sides are equal
Opposite angles are equal

Correct answer: All angles are right angles

Parallelograms do not necessarily have right angles; only rectangles and squares do.

Question 5: Which sentence has correct subject-verb agreement?

Each of the students have a pencil.
The team are playing well tonight.
The group of children is very noisy. (Correct answer)
Neither of the answers are correct.

Correct answer: The group of children is very noisy.

'Group' is the singular subject, so it takes the singular verb 'is'.

Question 6: A cinema sells 347 tickets on Friday and 289 tickets on Saturday. How many tickets were sold in total?

596
616
656
636 (Correct answer)

Correct answer: 636

347 + 289 = 636 tickets sold over both days.

Question 7: If the code for CAT is 3-1-20 (C=3, A=1, T=20), what is the code for DOG?

5-15-7
4-15-7 (Correct answer)
3-14-7
4-14-6

Correct answer: 4-15-7

D=4, O=15, G=7, so the code is 4-15-7.

Question 8: A fence is built around a square garden with a perimeter of 48 m. What is the area of the garden?

192 m²
120 m²
96 m²
144 m² (Correct answer)

Correct answer: 144 m²

Each side = 48 ÷ 4 = 12 m; area = 12 × 12 = 144 m².

Question 9: What is the missing number: 72 ÷ ___ = 9?

9
6
7
8 (Correct answer)

Correct answer: 8

72 ÷ 8 = 9.

Question 10: Which pair of words are antonyms?

Happy / Joyful
Cold / Frigid
Expand / Contract (Correct answer)
Quick / Rapid

Correct answer: Expand / Contract

'Expand' means to grow larger while 'contract' means to become smaller — they are opposites.

Question 11: Which sentence uses correct capitalization?

We visited the eiffel Tower in paris.
We visited the Eiffel Tower in Paris. (Correct answer)
we visited the Eiffel Tower in Paris.
We visited the Eiffel tower in Paris.

Correct answer: We visited the Eiffel Tower in Paris.

Proper nouns like "Eiffel Tower" and "Paris" must always be capitalized.

Question 12: A shop has a 'buy 2 get 1 free' offer. If items cost $9 each and you want 6 items, how much do you pay?

$54
$45
$27
$36 (Correct answer)

Correct answer: $36

With buy 2 get 1 free, you pay for 4 out of 6 items: 4 × $9 = $36.

Question 13: If you rotate a triangle 180° around its center, the result is:

A mirror image facing the same direction
A circle
The triangle unchanged
The triangle upside-down (Correct answer)

Correct answer: The triangle upside-down

A 180° rotation turns the triangle upside down relative to its original position.

Question 14: A pattern adds 7 each time. If the 3rd term is 22, what is the 1st term?

6
7
8 (Correct answer)
9

Correct answer: 8

Working backwards: 22 − 7 = 15, then 15 − 7 = 8.

Question 15: Which word pair shows the SAME relationship as LOUD : WHISPER?

fast : crawl (Correct answer)
run : sprint
shout : yell
tall : short

Correct answer: fast : crawl

Loud and whisper are near-opposites on the volume scale; fast and crawl are near-opposites on the speed scale.

Question 16: Doctor is to patient as teacher is to ___.

book
lesson
student (Correct answer)
school

Correct answer: student

A doctor provides care to a patient; a teacher provides instruction to a student — the relationship is professional to the person they serve.

Question 17: If a shape is translated 3 units right and 2 units down, what has changed?

Its orientation
Its position (Correct answer)
Its shape
Its size

Correct answer: Its position

Translation moves a shape to a new position without changing its size, shape, or orientation.

Question 18: How many vertices does a rectangular prism have?

6
12
8 (Correct answer)
10

Correct answer: 8

A rectangular prism has 8 vertices, one at each corner.

Question 19: Two angles are supplementary. One angle is 65°. What is the other angle?

25°
105°
125°
115° (Correct answer)

Correct answer: 115°

Supplementary angles add up to 180°, so the other angle is 180° − 65° = 115°.

Question 20: Which shape has exactly 5 faces, 9 edges, and 6 vertices?

Square pyramid
Triangular prism (Correct answer)
Cylinder
Cube

Correct answer: Triangular prism

A triangular prism has 5 faces, 9 edges, and 6 vertices.

Question 21: What is 0.25 expressed as a fraction in simplest form?

2/5
1/4 (Correct answer)
1/5
1/2

Correct answer: 1/4

0.25 = 25/100 = 1/4 when simplified.

Question 22: Which sentence correctly uses "their," "there," and "they're"?

They're going to their house. (Correct answer)
Their going to they're house.
Their going to there house.
There going to they're house.

Correct answer: They're going to their house.

"They're" = they are, "their" = belonging to them, confirming the second sentence is correct.

Question 23: What does the idiom 'bite the bullet' mean?

To endure a painful situation with courage (Correct answer)
To eat something hard
To argue fiercely
To make a mistake

Correct answer: To endure a painful situation with courage

'Bite the bullet' means to face a difficult or unpleasant situation bravely.

Question 24: What does the word 'diligent' mean?

Quite shy
Hardworking and careful (Correct answer)
Extremely proud
Lazy and unfocused

Correct answer: Hardworking and careful

'Diligent' describes someone who works hard and pays careful attention to their tasks.

Question 25: What literary device is used in: "The thunder grumbled angrily"?

Personification (Correct answer)
Metaphor
Simile
Alliteration

Correct answer: Personification

Giving human qualities (grumbling angrily) to thunder is personification.

Question 26: A rectangle with sides 8 cm and 5 cm is cut in half along its length. What is the area of each piece?

30 sq cm
20 sq cm (Correct answer)
15 sq cm
25 sq cm

Correct answer: 20 sq cm

The rectangle's total area is 40 sq cm; cutting it in half gives 20 sq cm each.

Question 27: A 10-litre tank is one-quarter full. How many litres are needed to fill it?

8
7
5
7.5 (Correct answer)

Correct answer: 7.5

One-quarter of 10 = 2.5 litres already in the tank; 10 − 2.5 = 7.5 litres needed.

Question 28: In a number pattern, the rule is 'double and add 3'. Starting at 2, what is the 4th term?

41
37 (Correct answer)
33
29

Correct answer: 37

2 → 7 → 17 → 37 (each step: × 2 + 3).

Question 29: A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble?

2/5
3/10 (Correct answer)
1/2
1/5

Correct answer: 3/10

Probability = 3/10 since there are 3 blue out of 10 total marbles.

Question 30: What is the total cost of 3 shirts at $15 each and 2 pairs of pants at $25 each?

$100
$85
$95 (Correct answer)
$90

Correct answer: $95

3 × $15 = $45, 2 × $25 = $50, total = $95.

Question 31: A number is multiplied by itself and the result is 196. What is the number?

12
14 (Correct answer)
15
13

Correct answer: 14

14 × 14 = 196, so the number is 14.

Question 32: Which of the following is an example of a simile?

She runs like the wind. (Correct answer)
The moon is a lantern in the sky.
Time flies when you're having fun.
The angry clouds rolled in.

Correct answer: She runs like the wind.

A simile directly compares two things using "like" or "as," as in "runs like the wind."

Question 33: Which word is a synonym for 'ancient'?

Recent
Current
Modern
Archaic (Correct answer)

Correct answer: Archaic

'Archaic' means very old or from an early period in history, making it a synonym for 'ancient'.

Question 34: A shape has 4 equal sides and 4 right angles. What is it called?

Rectangle
Rhombus
Trapezoid
Square (Correct answer)

Correct answer: Square

A square has 4 equal sides and 4 right angles.

Question 35: What is the purpose of a conclusion paragraph?

To start the story
To introduce new arguments
To list all evidence used
To summarize main points and close the discussion (Correct answer)

Correct answer: To summarize main points and close the discussion

A conclusion paragraph wraps up the writing by summarizing key points and providing a closing thought.

Question 36: If 4x + 5 = 25, what is the value of x?

4
7
5 (Correct answer)
6

Correct answer: 5

4x = 20, so x = 5.

Question 37: All of the words below are alike in some way. vigilant, precise, meticulous, particular Which of the following options could not be included?

Hasty (Correct answer)
Thorough
Careful
Detailed
Perfectionistic

Correct answer: Hasty

The words 'vigilant,' 'precise,' 'meticulous,' and 'particular' all describe qualities of being very careful, attentive to detail, and thorough. 'Hasty,' however, means done with excessive speed or urgency, often implying a lack of careful consideration or attention to detail. Therefore, 'hasty' is an antonym to the other words and does not fit the group.

Question 38: Which word correctly fills the blank: 'The teacher gave us ___ information about the test format.'

comprehension
comprehending
comprehend
comprehensive (Correct answer)

Correct answer: comprehensive

'Comprehensive' is the adjective form meaning thorough and covering all aspects, which correctly modifies 'information'.

Question 39: In the pattern 1, 4, 9, 16, 25, ___, what is the missing term?

42
34
36 (Correct answer)
30

Correct answer: 36

These are perfect squares (1², 2², 3²...), so the next is 6² = 36.

Question 40: One paragraph logically following the preceding paragraph and leading into the one which follows is an example of organization.

FALSE
TRUE (Correct answer)

Correct answer: TRUE

Organization in writing involves structuring content in a logical sequence, where ideas are presented in a clear and understandable order. When one paragraph logically follows the preceding one and smoothly leads into the next, it demonstrates strong organizational skills. This logical progression helps the reader understand the overall argument or narrative without getting lost or confused.

Question 41: Which word is most SIMILAR in meaning to 'curious'?

bored
satisfied
inquisitive (Correct answer)
nervous

Correct answer: inquisitive

Curious means eager to know or learn; inquisitive also means having a strong desire to investigate and learn things.

Question 42: If it takes 5 workers 8 days to complete a job, how many days would 10 workers take?

5
3
4 (Correct answer)
2

Correct answer: 4

10 workers is double, so they take half the time: 8 ÷ 2 = 4 days.

Question 43: Which word best completes the sentence: 'The scientist made a remarkable ___ about the new species.'

discovery (Correct answer)
distinction
discussion
distraction

Correct answer: discovery

'Discovery' means finding something new, which fits the context of a scientist studying a new species.

Question 44: What type of word is 'quickly' in the sentence 'She ran quickly'?

Verb
Adjective
Adverb (Correct answer)
Noun

Correct answer: Adverb

'Quickly' modifies the verb 'ran', making it an adverb.

Question 45: Sam thinks of a number, doubles it, adds 10, and gets 30. What was the original number?

12
8
10 (Correct answer)
15

Correct answer: 10

Work backwards: 30 − 10 = 20, then 20 ÷ 2 = 10.

Question 46: Which fraction is equivalent to 3/4?

12/20
6/10
6/9
9/12 (Correct answer)

Correct answer: 9/12

9/12 simplifies to 3/4 because both numerator and denominator are multiplied by 3.

Question 47: If the pattern is × 3 − 1, what comes after 14?

42
41 (Correct answer)
39
40

Correct answer: 41

14 × 3 = 42, then 42 − 1 = 41.

Question 48: Which word is the OPPOSITE of 'generous'?

gentle
selfish (Correct answer)
kind
brave

Correct answer: selfish

Generous means willing to give freely; selfish means concerned only with oneself and unwilling to share — they are antonyms.

Question 49: A square has a perimeter of 36 cm. What is its area?

121 sq cm
81 sq cm (Correct answer)
64 sq cm
100 sq cm

Correct answer: 81 sq cm

Side = 36 ÷ 4 = 9 cm, Area = 9² = 81 sq cm.

Question 50: What is the median of: 3, 7, 9, 15, 21?

15
12
9 (Correct answer)
7

Correct answer: 9

The median is the middle value of an ordered list; here it is 9.

Question 51: What is the value of 2³ × 5?

30
40 (Correct answer)
50
25

Correct answer: 40

2³ = 8, and 8 × 5 = 40.

Question 52: Which shape has more than 2 lines of symmetry?

Equilateral triangle (Correct answer)
Rectangle
Irregular pentagon
Scalene triangle

Correct answer: Equilateral triangle

An equilateral triangle has 3 lines of symmetry, while a rectangle has only 2.

Question 53: Which sentence contains a relative clause?

She went to the shop.
We are going on holiday.
The book, which I borrowed, was excellent. (Correct answer)
He ran very quickly.

Correct answer: The book, which I borrowed, was excellent.

'Which I borrowed' is a relative clause providing extra information about 'the book'.

Question 54: Five students sat in a row. Mia sat between Tom and Zoe. Tom sat at one end. Where did Zoe sit?

Third from the left
At the other end
Next to Mia (Correct answer)
Cannot be determined

Correct answer: Next to Mia

Since Tom is at one end and Mia is between Tom and Zoe, Zoe must be next to Mia (in the 3rd position).

Question 55: A cube has how many faces, edges, and vertices respectively?

4 faces, 6 edges, 8 vertices
6 faces, 12 edges, 8 vertices (Correct answer)
8 faces, 12 edges, 6 vertices
6 faces, 8 edges, 12 vertices

Correct answer: 6 faces, 12 edges, 8 vertices

A cube has 6 faces, 12 edges, and 8 vertices.

Question 56: A pattern repeats: triangle, circle, square, triangle, circle, square... What is the 11th shape?

Triangle
Circle (Correct answer)
Square
Diamond

Correct answer: Circle

The pattern cycles every 3; 11 ÷ 3 = 3 remainder 2, so the 11th shape is a circle.

Question 57: A net of 6 equal squares arranged in a cross pattern folds into which shape?

Cube (Correct answer)
Rectangular prism
Triangular prism
Pyramid

Correct answer: Cube

A net of 6 equal squares folds into a cube.

Question 58: Which is a compound sentence?

Running fast is tiring.
Tom read a book.
Lisa sang, and Marco danced. (Correct answer)
After dinner, we watched a film.

Correct answer: Lisa sang, and Marco danced.

A compound sentence contains two independent clauses joined by a coordinating conjunction like 'and'.

Question 59: What is the next number in the sequence: 3, 6, 12, 24, ___?

48 (Correct answer)
36
60
42

Correct answer: 48

Each term is doubled to get the next term, so 24 × 2 = 48.

Question 60: What does the word 'benevolent' mean?

Stubborn
Kind and generous (Correct answer)
Harmful
Secretive

Correct answer: Kind and generous

'Benevolent' describes someone who is well-meaning, kind, and generous toward others.

Question 61: How many faces does a triangular prism have?

6
4
3
5 (Correct answer)

Correct answer: 5

A triangular prism has 5 faces: 2 triangular bases and 3 rectangular lateral faces.

Question 62: Which sentence contains a correctly placed apostrophe for possession?

The child's toy was broken. (Correct answer)
The children's toy's were broken.
The childs' toy was broken.
The childs toy was broken.

Correct answer: The child's toy was broken.

For singular possession, the apostrophe goes between the noun and the 's': child's.

Question 63: How many lines of symmetry does a regular hexagon have?

8
4
6 (Correct answer)
5

Correct answer: 6

A regular hexagon has 6 lines of symmetry — one through each pair of opposite vertices and one through each pair of opposite edge midpoints.

Question 64: What is the rule for the sequence: 100, 50, 25, 12.5?

Divide by 2 (Correct answer)
Subtract 50
Subtract 25
Multiply by 0.4

Correct answer: Divide by 2

Each term is divided by 2 (or multiplied by 0.5).

Question 65: What does the suffix "-ful" mean in the word "grateful"?

Full of or having the quality of (Correct answer)
Without
Against
Before

Correct answer: Full of or having the quality of

The suffix "-ful" means "full of" or "having the quality of."

Question 66: Which word is spelled correctly?

accomodate
acommodate
accommadate
accommodate (Correct answer)

Correct answer: accommodate

'Accommodate' is the correct spelling, with double 'c' and double 'm'.

Question 67: Painter is to canvas as sculptor is to ___.

brush
palette
clay (Correct answer)
frame

Correct answer: clay

A painter works on canvas, and a sculptor works with clay as their primary material.

Question 68: What 3D shape is formed when a circle is rotated around its diameter?

Cube
Sphere (Correct answer)
Cone
Cylinder

Correct answer: Sphere

Rotating a circle around its diameter produces a sphere.

Question 69: Which sentence uses correct punctuation?

The dog barked loudly and, it woke the neighbours.
The dog barked loudly and it, woke the neighbours.
The dog barked loudly, and it woke the neighbours. (Correct answer)
The dog barked, loudly and it woke the neighbours.

Correct answer: The dog barked loudly, and it woke the neighbours.

A comma before a coordinating conjunction joining two independent clauses is correct.

Question 70: What fraction of 60 is 15?

1/3
1/6
1/4 (Correct answer)
1/5

Correct answer: 1/4

15/60 simplifies to 1/4.

Question 71: A shape is reflected across a vertical line of symmetry. Where does the reflected shape appear?

To the right of the original (Correct answer)
Below the original
At the same position
Above the original

Correct answer: To the right of the original

Reflection across a vertical axis creates a mirror image on the opposite horizontal side.

Question 72: What punctuation mark is used to introduce a list?

Comma
Hyphen
Colon (Correct answer)
Semicolon

Correct answer: Colon

A colon is used before a list or explanation that follows a complete statement.

Question 73: Last Sunday Jenny went to the circus with Eddy and Willy to spend their school holiday. First, they saw the seals performance. The seals balanced themselves on tires and rolled round the ring. A seal balanced on a stool with an umbrella on its nose. After that, the trainer fed them fish. The next item was knife-throwing act. Jenny was afraid to watch it, so she covered her eyes with her hand. Not long after, it was the lion’s act. It was the most exciting performance. The lion jumped through the burning hoops. Everyone held their breath when the lion trainer put his head into the lion’s mouth. Finally, it was the clown’s act. Jenny and her brother liked the clown’s act best. They looked funny with their painted faces and baggy costumes. One of them swung a pail at Jenny. She screamed! Scraps of paper flew out of the pail and audience laughed. What was the last performance that Jenny saw? At the end of show, everyone clapped loudly.

The best costumes
The clown’s act (Correct answer)
The lion’s act
The magic pail

Correct answer: The clown’s act

The text describes the performances in chronological order. It states, "Finally, it was the clown’s act." This indicates that the clown's act was the last performance Jenny saw before the show concluded. The other options refer to earlier acts or general observations.

Question 74: What is the sum of interior angles in any quadrilateral?

270°
540°
180°
360° (Correct answer)

Correct answer: 360°

The interior angles of any quadrilateral always add up to 360°.

Question 75: A polygon with exactly 5 sides is called a:

Hexagon
Pentagon (Correct answer)
Heptagon
Octagon

Correct answer: Pentagon

A pentagon is a polygon with exactly 5 sides.

Question 76: Which word best fills the blank: "The scientist made a remarkable _____ about the properties of the new material."

warning
discovery (Correct answer)
opinion
exercise

Correct answer: discovery

"Discovery" best fits because scientists uncover new findings about materials.

Question 77: Which word is a pronoun in this sentence: 'She left her bag on the bus.'?

She (Correct answer)
bus
bag
left

Correct answer: She

'She' is a pronoun that takes the place of a person's name.

Question 78: Which word means the same as 'courageous'?

Valiant (Correct answer)
Reckless
Timid
Cautious

Correct answer: Valiant

'Valiant' means showing courage, especially in difficult situations.

Question 79: Coherence is achieved through writing as many ideas as you can in your essay without flow and organization as long as you meet the word count requirement.

FALSE (Correct answer)
TRUE

Correct answer: FALSE

Coherence is not achieved by simply listing many ideas to meet a word count; it requires a logical connection and smooth transition between ideas, sentences, and paragraphs. Without proper flow and organization, an essay will be disjointed and difficult to understand, regardless of the number of ideas presented. The focus should be on clarity and logical progression, not just quantity.

NSW Opportunity Class (OC) Placement Test

The NSW Opportunity Class Placement Test selects Year 4 students for academically enriched Opportunity Class programs in Year 5 across New South Wales, Australia. It assesses Reading, Mathematical Reasoning, and Thinking Skills through three timed subtests.

Questions

110 min

Time Limit

70%

To Pass

Checking for saved progress...

Exam Rules

You can skip questions and return to them later
Flag questions for review before submitting
No feedback shown until you submit the entire exam
Unanswered questions count as wrong — answer everything
10 pretest questions are mixed in and don't affect your score
Timer auto-submits when time runs out
Your progress is auto-saved every 30 seconds