English Language80 views·Updated 20 Jun 2026·9 pages

Master Maths and English Skills

Teigan Davies@teigandavies_dqoe

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This collection covers essential GCSE topics from maths to English...

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# Multiplying negatives
Positive x Positive = Positive.
Negative x negative = Positive.
Positive x negative = Negative
Negative x Positive =

Multiplying Negative Numbers

Understanding negative multiplication is simpler than you think - it's all about spotting patterns! The key rule is that when two numbers have the same sign (both positive or both negative), your answer is positive.

When numbers have opposite signs (one positive, one negative), your answer is always negative. So -4 × 8 = -32 because they're opposite signs, and 3 × -7 = -21 for the same reason.

Here's the brilliant bit: negative × negative = positive! Think of -9 × -6 = 54 - both numbers are negative, so they're the same sign, making your answer positive.

Quick Check: If you see opposite signs, expect a negative answer. Same signs? You're getting a positive result!

of 9

Short Division Method

Short division breaks down big problems into manageable chunks - perfect for when you need quick, accurate answers! The process involves working left to right, carrying remainders as you go.

Let's tackle 648 ÷ 9: since 9 is bigger than 6, carry the 6. Then 64 ÷ 9 = 7 remainder 1 (carry the 1), and finally 18 ÷ 9 = 2. Your answer? 72!

For trickier problems like 1489 ÷ 6, the same method applies. Work systematically: carry when needed, calculate remainders, and keep moving right. You'll end up with 248 remainder 1.

Top Tip: Always check if your divisor is bigger than the first digit - that tells you whether to carry immediately!

of 9

Interpreting Misleading Data

Data representation can be sneaky - the same numbers can tell completely different stories depending on how they're presented! This is crucial for spotting bias in media and research.

Consider rugby data showing Wales with 15 world-class players and England with 10. One chart makes Wales look six times better by starting the scale at 10 instead of 0. Another chart with large intervals makes the difference appear minimal.

The scale manipulation completely changes your perception, even though the actual data $Wales = 15, England = 10$ stays identical. Always check the scale and intervals before drawing conclusions.

Reality Check: Always examine the scale on graphs - it's where the tricks happen!

of 9

Similes in Writing

Similes create vivid pictures in readers' minds by comparing two different things using 'like' or 'as'. They're your secret weapon for making writing more engaging and memorable!

When you write "She was like a rose," you're connecting human beauty with a flower's delicate, precious qualities. This imagery technique helps readers visualise exactly what you mean.

Similes work because they tap into shared associations. Think about snakes - they immediately suggest danger, poison, and evil. Using "sly as a snake" instantly communicates untrustworthiness without lengthy explanations.

Writer's Trick: Choose comparisons that match the mood you want - roses for beauty, storms for chaos, rocks for strength!

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Metaphors for Impact

Metaphors pack more punch than similes because they don't use 'like' or 'as' - they directly state one thing IS another. This creates stronger, more immediate connections in writing.

"Her eyes were diamonds" doesn't just compare eyes to diamonds - it transforms them completely. You're suggesting her eyes have diamond qualities: dazzling brightness, strength, and precious beauty.

This direct assertion makes metaphors incredibly powerful for creating emotional impact. Instead of saying someone is similar to something, you're declaring they embody those qualities entirely.

Power Move: Metaphors hit harder than similes - use them when you want maximum emotional impact!

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Personification Techniques

Personification brings non-human things to life by giving them human characteristics - it's like casting actors for every element in your writing! This technique makes descriptions more dramatic and engaging.

When you write "lightning danced across the sky," you transform a weather event into a performer. This creates a playful, almost magical atmosphere that's far more interesting than "lightning appeared."

You can use personification to create different moods. Words like "choked," "violent," or "menacing" give objects threatening human qualities, perfect for building tension in creative writing.

Creative Boost: Think of objects as characters with personalities - what would they do if they were human?

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Facts vs Statistics vs Opinions

Understanding facts, statistics, and opinions is essential for critical thinking and avoiding misinformation. These distinctions help you evaluate sources and build stronger arguments.

A fact is provable truth - like "your heart pumps blood through your body." Nobody can argue with this because it's scientifically verified and observable.

Statistics are numerical facts that often reveal patterns or trends. "Someone has a heart attack every 40 seconds" combines factual truth with specific data. Opinions, however, represent personal beliefs that can't be proven right or wrong.

Truth Detector: Ask yourself - can this be proven with evidence? If not, it's probably an opinion!

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Possessive Apostrophes Basics

Possessive apostrophes show ownership - they're like tiny signs saying "this belongs to that!" The apostrophe always goes with the owner, not the thing being owned.

For single owners, add apostrophe + s after the owner. "The dog's ball" means the ball belongs to the dog. The apostrophe sits right after "dog" because the dog owns the ball.

Remember: the object (ball) doesn't get the apostrophe - only the owner (dog) does. This rule works for all singular possessives, making it straightforward once you identify who owns what.

Ownership Test: Find the owner first, add 's, then add what they own!

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English Language80 views·Updated 20 Jun 2026·9 pages

Master Maths and English Skills

Teigan Davies@teigandavies_dqoe

Add to Google sources

This collection covers essential GCSE topics from maths to English language skills. You'll master everything from negative number multiplication to literary devices and data interpretation - all the building blocks you need for exam success.

of 9

Multiplying Negative Numbers

When numbers have opposite signs (one positive, one negative), your answer is always negative. So -4 × 8 = -32 because they're opposite signs, and 3 × -7 = -21 for the same reason.

Here's the brilliant bit: negative × negative = positive! Think of -9 × -6 = 54 - both numbers are negative, so they're the same sign, making your answer positive.

Quick Check: If you see opposite signs, expect a negative answer. Same signs? You're getting a positive result!

of 9

Short Division Method

Short division breaks down big problems into manageable chunks - perfect for when you need quick, accurate answers! The process involves working left to right, carrying remainders as you go.

Let's tackle 648 ÷ 9: since 9 is bigger than 6, carry the 6. Then 64 ÷ 9 = 7 remainder 1 (carry the 1), and finally 18 ÷ 9 = 2. Your answer? 72!

For trickier problems like 1489 ÷ 6, the same method applies. Work systematically: carry when needed, calculate remainders, and keep moving right. You'll end up with 248 remainder 1.

Top Tip: Always check if your divisor is bigger than the first digit - that tells you whether to carry immediately!

of 9

Interpreting Misleading Data

Data representation can be sneaky - the same numbers can tell completely different stories depending on how they're presented! This is crucial for spotting bias in media and research.

The scale manipulation completely changes your perception, even though the actual data $Wales = 15, England = 10$ stays identical. Always check the scale and intervals before drawing conclusions.

Reality Check: Always examine the scale on graphs - it's where the tricks happen!

of 9

Similes in Writing

Similes create vivid pictures in readers' minds by comparing two different things using 'like' or 'as'. They're your secret weapon for making writing more engaging and memorable!

When you write "She was like a rose," you're connecting human beauty with a flower's delicate, precious qualities. This imagery technique helps readers visualise exactly what you mean.

Writer's Trick: Choose comparisons that match the mood you want - roses for beauty, storms for chaos, rocks for strength!

of 9

Metaphors for Impact

Metaphors pack more punch than similes because they don't use 'like' or 'as' - they directly state one thing IS another. This creates stronger, more immediate connections in writing.

This direct assertion makes metaphors incredibly powerful for creating emotional impact. Instead of saying someone is similar to something, you're declaring they embody those qualities entirely.

Power Move: Metaphors hit harder than similes - use them when you want maximum emotional impact!

of 9

Personification Techniques

You can use personification to create different moods. Words like "choked," "violent," or "menacing" give objects threatening human qualities, perfect for building tension in creative writing.

Creative Boost: Think of objects as characters with personalities - what would they do if they were human?

of 9

Facts vs Statistics vs Opinions

Understanding facts, statistics, and opinions is essential for critical thinking and avoiding misinformation. These distinctions help you evaluate sources and build stronger arguments.

A fact is provable truth - like "your heart pumps blood through your body." Nobody can argue with this because it's scientifically verified and observable.

Truth Detector: Ask yourself - can this be proven with evidence? If not, it's probably an opinion!

of 9

Possessive Apostrophes Basics

Possessive apostrophes show ownership - they're like tiny signs saying "this belongs to that!" The apostrophe always goes with the owner, not the thing being owned.

For single owners, add apostrophe + s after the owner. "The dog's ball" means the ball belongs to the dog. The apostrophe sits right after "dog" because the dog owns the ball.

Remember: the object (ball) doesn't get the apostrophe - only the owner (dog) does. This rule works for all singular possessives, making it straightforward once you identify who owns what.

Ownership Test: Find the owner first, add 's, then add what they own!

of 9