MathWhiz World

Parallel lines = same gradient. Every time! 📉

Edexcel GCSE mock prep:
Find the equation of the line through C(0,3) parallel to AB.

➡️ A(0,−2), B(−4, 2)
➡️ Gradient m = (2−(−2)) ÷ (−4−0) = 4÷−4 = −1
➡️ y-intercept = 3
➡️ Equation: y = −x + 3 ✅

Gradient + y-intercept. That’s all you need! 💡

Mocks are here — let’s nail every mark! 📚

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Inside the circle = 2 intersections. Always! 🔵

Edexcel GCSE mock prep:
Show any line through (1,2) cuts x² + y² = 16 at two points.

➡️ r = 4
➡️ 1² + 2² = 5 → √5 < 4
➡️ (1,2) is INSIDE → any line must cross twice ✅

No guessing. Pure logic. Full marks! 💡

Mocks this month — we’re ready! 📚

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Inside or outside the circle? 🔵 That's the question!

Today's Edexcel GCSE session: Show any straight line through (1,2) intersects x² + y² = 16 at two points.

➡️ Circle has centre (0,0), radius = 4
➡️ Check (1,2): 1² + 2² = 5
➡️ √5 < 4 → point lies INSIDE the circle ✅

If a point is inside a circle — any line through it MUST cross the circle twice. Elegant logic! 💡

Mocks this month. We’re leaving nothing uncovered! 📚

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Ratio in real life — cupcakes edition! 🧁

Today’s Cambridge Grade 7 session:
A bakery sells 300 cupcakes. Chocolate : Vanilla = 2:3. How many vanilla?

➡️ Total parts = 5
➡️ 1 part = 300 ÷ 5 = 60
➡️ Vanilla = 60 × 3 = 180 ✅

Real-life contexts make Maths click for students every time! 💡

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Graphs of Linear Equations — exam season is HERE! 📈

Edexcel GCSE mock prep this week:
ABCD is a rectangle. Line AB: y = 2x + 1
Find the equation of line DC through C(0,6).

➡️ Same gradient (parallel lines) → m = 2
➡️ y-intercept = 6
➡️ Equation: y = 2x + 6 ✅

Parallel lines = same gradient. Always! 💡

Mocks this month — every mark counts! 📚

📩 DM for a FREE trial session.