Stories, characters, dialogue, and editing techniques
📖
Reading Analysis
Themes, characters, language, and forming opinions
📚
Vocabulary Building
Word roots, prefixes, context clues, and synonyms
✏️
Grammar & Punctuation
Clauses, tenses, punctuation rules, and sentence structure
Creative Writing
Master storytelling through characters, dialogue, and editing
📖 Building Stories
Every great story starts with an idea and a structure. Learn how to develop your story from beginning to end.
Story Structure: Most stories follow a pattern: introduction (who and where), rising action (what happens), climax (the big moment), and resolution (how it ends).
👤 Character Development
Characters are the heart of your story. They need personality, goals, and reasons for their actions.
Character Questions: What does your character look like? What are they good at? What do they want? What are they afraid of?
💬 Writing Dialogue
Dialogue brings characters to life and moves your story forward. It should sound natural and reveal character.
Dialogue Tips: Use quotation marks, put dialogue tags outside the quotes, vary your dialogue tags (said, asked, whispered), and make sure conversations sound real.
✏️ Editing & Revision
Every writer edits their work. Look for spelling, grammar, and ways to improve clarity and flow.
Editing Checklist: Check spelling, verify punctuation, ensure proper grammar, confirm paragraph structure, and read aloud to check flow.
🎨 Creative Challenge
Write a short story (3-5 sentences) using a prompt. Include a character with a clear goal and a dialogue.
Story Prompt: Write about a character who discovers something unexpected in their backyard. What is it? What do they do?
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Reading Analysis
Learn to understand themes, characters, and author's techniques
🎯 Understanding Themes
A theme is the main message or lesson in a story. It's the bigger idea the author is exploring.
Common Themes: Friendship, courage, growing up, overcoming obstacles, kindness, and learning from mistakes.
👥 Analyzing Characters
Good readers pay attention to how characters change throughout a story and understand their motivations.
Character Analysis Questions: What are they like at the start? What changes? Why? What do they learn?
🎨 Author's Language & Style
Authors use descriptive words, similes, metaphors, and other techniques to make their writing vivid and interesting.
Example: "The snow was white" vs. "The snow glittered like diamonds in the moonlight." The second uses imagery and simile.
💭 Forming Opinions About Books
Good readers can explain their opinions with details and evidence from the book, not just "I liked it."
Support Your Opinion: Instead of "I didn't like the ending," try "I didn't like the ending because the main character didn't learn anything."
📚 Analysis Challenge
Pick a book or story you know. Identify one main theme and explain how the characters help show that theme.
Your Task: Write 3-4 sentences explaining a theme and supporting it with details from a story.
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Vocabulary Building
Expand your word knowledge through roots, prefixes, and context
🌳 Word Roots
Many English words come from Latin and Greek roots. Learning roots helps you understand new words.
Prefixes at the start and suffixes at the end change word meanings. Combining them creates new words.
Common Prefixes: un-, re-, pre-, dis-, mis- Common Suffixes: -tion, -ment, -ness, -able, -ful
💡 Context Clues
When you don't know a word, look at context (surrounding words) to figure out its meaning.
Example: "The loquacious speaker wouldn't stop talking." The context (talking) helps you understand loquacious means talkative.
🔀 Synonyms & Antonyms
Synonyms mean the same thing; antonyms mean opposite things. Using variety makes writing more interesting.
Writing Tip: Instead of using "nice" repeatedly, try: kind, friendly, pleasant, wonderful, delightful.
🎲 Vocabulary Challenge
Choose 5 new words you've learned. Write a sentence for each using context to make the meaning clear.
Your Task: Create a "word collection" showing roots, prefixes, or interesting synonyms.
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Grammar & Punctuation
Master sentence structure, clauses, and proper punctuation
🔗 Independent & Dependent Clauses
A clause is a group of words with a subject and verb. Some can stand alone; others cannot.
Examples: "I like pizza" (independent). "Because it's delicious" (dependent). Combined: "I like pizza because it's delicious."
🎯 Active vs. Passive Voice
Active voice shows the subject doing the action. Passive voice shows the action being done to the subject.
Examples: Active: "The cat ate the mouse." Passive: "The mouse was eaten by the cat." (Use active voice for stronger writing!)
: Colons & Semicolons
These punctuation marks help connect ideas and introduce lists or explanations.
Usage Tips: Use a colon before a list or explanation. Use a semicolon to connect two related complete thoughts.
' Apostrophes for Contractions & Possessives
Apostrophes show where letters are missing (contractions) or who something belongs to (possessives).
Remember: "its" (no apostrophe) is possessive; "it's" has an apostrophe and means "it is".
✏️ Grammar Challenge
Write a paragraph (5-7 sentences) using at least one independent clause, one contraction, and one possessive.
Your Task: Check your paragraph for correct punctuation and sentence structure.
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Maths
Choose a topic to explore
💯
Percentage
What "%" really means
🦘
Kangaroo Maths
Competition practice tests
🍕
Fractions
Parts of a whole
0.5
Decimals
Numbers between numbers
COMING SOON
✖️
Multiplication
Times tables & beyond
COMING SOON
📐
Geometry
Shapes, angles & space
COMING SOON
⚖️
Ratios
Comparing amounts
COMING SOON
Percentage
What does "%" really mean? Let's find out.
🥛 Two glasses of water
Here's a small glass and a big glass. They hold different amounts — but both are filled to the top.
100%
Small glass 5 sips
100%
Big glass 42 sips
Both are 100% full. The amount is different, but the fullness is the same.
Percentage measures fullness, not amount.
🔋 Now half-fill them
50%
2.5 of 5 sips
50%
21 of 42 sips
Both 50% full — even though 2.5 sips and 21 sips are very different amounts. Percentage only cares: "what fraction of the whole thing do you have?"
🎯 Try it yourself
Fill a glass to any level and watch the percentage change.
42
42
100%
42 out of 42
The glass holds 42 and it's filled to 42. That's completely full — 100%.
Notice: change the glass size but keep it full — the percentage stays 100%. A full glass is always 100%.
🍪 Cookie experiment
Two kids each eat half their cookies — but started with different amounts.
6
16
Kid A
ate 3 of 6
50%
Kid B
ate 8 of 16
50%
Different amounts, but the same proportion — half — so both ate 50%.
Percentage measures the proportion, not the count.
📊 The stretchy bar
No matter what the total is, we stretch it to fit a bar from 0 to 100. That's what "per cent" means — "per hundred".
42
42
Your marks
42 / 42
042
↕ stretched onto 100 ↕
Percentage
100%
0%50%100%
42 out of 42 fills the whole bar → stretched to 100 = 100%.
🧠 Two different questions
The confusion comes from mixing up two completely different questions:
✅ Percentage asks:
"How full is the bar?"
42 out of 42 — completely full.
= 100%
❌ The wrong question:
"How many marks × 100?"
42 × 100 = 4,200. Not about fullness!
= nonsense
"42 × 100" throws away the most important information: what was the total? Without the total, you can't know the fullness. 42 out of 42 is full. 42 out of 1000 is almost empty.
🪣 Bucket proof
Three buckets, different sizes, all completely full:
100%
1 ball (1/1)
100%
42 balls (42/42)
100%
1000 balls (1000/1000)
1/1 = full. 42/42 = full. 1000/1000 = full. All three are 100%. The count doesn't matter — only: did you fill the whole bucket?
💡 What "1 = 100%" really means
When we say 1 = 100%, the "1" doesn't mean "1 thing". It means "the whole thing".
"1" = one whole = all of it = 100%
Think of 1 as "one complete thing." One whole pizza. One full glass. One entire test. The maths word for completely full is 1. The percentage word is 100%. Same idea, two ways of writing it.
So 42/42 = one whole test completed = 1 = 100%.
🎮 The percentage machine
Set any total and any amount. Watch the fullness.
50
25
50%
25 out of 50
50%
0%50%100%
25 out of 50 = half full = 50%
🤔 Thought experiments
Use the machine above — don't calculate, just feel the fullness.
Total 10, got 10. Full → 100%. Change to total 50, got 50. Still full → still 100%.
Total 4, got 1. A quarter → 25%. Now total 100, got 25. Also a quarter → also 25%.
Total 3, got 3. Full. Now slowly lower "got" to 0 and watch the tank drain.
Score: 0 / 7
🏆 Done!
Fractions
Parts of a whole — slicing, sharing, and comparing.
🍕 Slicing a pizza
A fraction tells you how many equal parts you have out of the total number of equal parts.
3/8
3 slices out of 8
8
3
The bottom number (denominator) tells you how many equal parts the whole is split into. The top number (numerator) tells you how many parts you have.
numerator / denominator = part / whole
📏 Bar model
Fractions also work with bars. Shade some sections to see the fraction.
You've shaded 3 out of 8 sections = 3/8
⚖️ Same amount, different name
Cut a pizza into 4 slices and eat 2. Now cut the same pizza into 8 slices and eat 4. Same amount of pizza!
2/4
=
4/8
Multiply (or divide) top AND bottom by the same number.
2/4 × 2/2 = 4/8. The fraction looks different but the value is identical.
🔧 Equivalent fraction machine
Pick a fraction, then multiply both parts by the same number.
1
3
×1
1/3
original
=
1/3
equivalent
33%
1/3 × 1/1 = 1/3 — same fraction, same bar fill.
🏁 Which is bigger?
To compare fractions, make the denominators the same — then just look at the numerators.
2/5
3/4
Fraction A
2/5
Fraction B
3/4
3/4 (75%) is bigger than 2/5 (40%). B wins!
💡 The cross-multiply trick
To compare a/b and c/d without finding a common denominator:
a × d vs c × b
Compare 2/5 and 3/4: multiply crosswise → 2×4 = 8 vs 3×5 = 15. Since 8 < 15, the fraction 2/5 < 3/4.
➕ Adding fractions
You can only add fractions that have the same denominator. If they don't, find a common denominator first.
Same bottom? Just add the tops!
2/7 + 3/7 = 5/7. The denominator stays. Only the numerators add up.
🧮 Interactive adder
1/4
1/3
+
=
1/4 + 1/3 = 3/12 + 4/12 = 7/12
➖ Subtracting fractions
Exact same idea — make the denominators match, then subtract the tops.
Same bottom? Subtract the tops!
5/8 − 2/8 = 3/8. Again, the denominator stays the same.
🍕 More than a whole
When the numerator is bigger than the denominator, you have more than one whole. That's an improper fraction.
7/4 = 1 whole + 3/4 = 1 ¾
7 quarters → 4 make a whole, 3 left over.
🔄 Converter
Slide to create an improper fraction and see it as a mixed number.
7
4
7/4
improper
=
1 ¾
mixed number
7 ÷ 4 = 1 remainder 3 → 1 whole and 3/4
Score: 0 / 8
🏆 Done!
Kangaroo Maths
Practice tests from the Hong Kong Mathematics Kangaroo Contest