🌟 Math Adventure Worksheet

Variables & Expressions

Q1. What is a Variable?

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Quick Memory: V = Variable = Unknown Box 📦 A letter that holds a mystery number!

📖 Example

If n = 5, then n + 3 = ?

Replace the letter with its number → 5 + 3 = 8

If x = 7, what is the value of x + 4?

A) 3

B) 11

C) 74

D) 47

Find the variable (letter)
Substitute the given value
Do the arithmetic

Order of Operations ⚠️ MOST TRICKY!

Q2. PEMDAS — Who Goes First?

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Quick Memory: Please Excuse My Dear Aunt Sally P·E·M·D·A·S = Parentheses → Exponents → Multiply/Divide → Add/Subtract

📖 Example

2 + 3 × 4 = ?

Multiply first! 3×4=12, then 2+12 = 14 (NOT 20!)

Solve: 5 + 2 × 3 − 1 = ?

A) 20

B) 10

C) 6

D) 15

Solving Equations

Q3. Balance the Scale ⚖️

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Quick Memory: UNDO = do the OPPOSITE + becomes −, × becomes ÷. Both sides ALWAYS!

📖 Example

x + 5 = 12 → x = 12 − 5 = 7

Solve for x: x + 8 = 15

Write your answer: x =

What is added to x? (→ 8)
Subtract 8 from both sides
x = 15 − 8 = ?

Inequalities ⚠️ COMMON MISTAKE!

Q4. Hungry Alligator > or < ?

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Quick Memory: Alligator eats the BIGGER number 🐊 > = "greater than" | < = "less than"

Which symbol makes this true? 9 ___ 14

A) >

B) <

C) =

D) ≥

Distributive Property ⚠️ VERY TRICKY!

Q5. Distribute to BOTH! 🎁

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Quick Memory: SHARE with EVERYONE inside 🎁 a(b + c) = a·b + a·c

📖 Example

3(2 + 4) = 3·2 + 3·4 = 6 + 12 = 18

Simplify: 4(x + 3)

A) 4x + 3

B) 4x + 12

C) x + 12

D) 4x + 7

Fractions

Q6. Half of a Mystery Number

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Quick Memory: x/2 → MULTIPLY both sides by 2 Fraction ÷ n → multiply by n to cancel!

📖 Example

x/3 = 4 → x = 4 × 3 = 12

Solve: x/2 = 6

x =

Combining Like Terms ⚠️ MOST CONFUSING!

Q7. Sort the Fruits! 🍎🍊

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Quick Memory: SAME letter = SAME fruit 🍎 3x + 5x = 8x (apples + apples)
Can't add 3x + 5y! (apples ≠ oranges)

📖 Example

4x + 2x + 3 = 6x + 3

Simplify: 3x + 2y + 5x − y

A) 10xy

B) 8x + y

C) 8x + 3y

D) 8x − y

Ratios & Proportions

Q8. Recipe Ratio 🍕

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Quick Memory: CROSS MULTIPLY to solve 🎯 a/b = c/d → a×d = b×c

📖 Example

2/3 = x/9 → 2×9 = 3×x → x = 6

If 3/4 = x/12, what is x?

x =

Percent ⚠️ EASY TO MESS UP!

Q9. Percent = "Out of 100" 💯

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Quick Memory: % → ÷ 100 → move decimal LEFT twice 25% of 80 = 0.25 × 80

📖 Example

10% of 50 = 0.10 × 50 = 5

What is 20% of 60?

A) 20

B) 12

C) 80

D) 1.2

Coordinate Plane

Q10. Walk Right, Then Up! 🗺️

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Quick Memory: (x, y) = "Go Right first, then Up" 🚶→⬆ x = horizontal | y = vertical

Point A is at (3, 5). What does the 3 represent?

A) y-coordinate

B) x-coordinate

C) The origin

D) Slope

Perimeter

G1. Walk Around the Edge! 🚶

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Quick Memory: PERIMETER = PATH around the border 🚧 Rectangle: P = 2L + 2W

Find the perimeter of a rectangle with length = 8 cm and width = 5 cm.

P = cm

Area ⚠️ Don't confuse with Perimeter!

G2. Cover the Floor! 🟦

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Quick Memory: AREA = inside space 🟦 = L × W Perimeter = fence 🚧 | Area = carpet 🟦

📖 Example

Area = 6 × 4 = 24 cm²

A rectangle is 9 cm long and 3 cm wide. What is its area?

A) 12 cm

B) 27 cm²

C) 24 cm²

D) 18 cm

Triangle Area ⚠️ Forget ÷2? WRONG!

G3. Half of a Rectangle! △

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Quick Memory: Triangle = HALF Rectangle → ½ × b × h Always divide by 2!

A triangle has base 12 cm and height 10 cm. What is the area?

A) 120 cm²

B) 22 cm²

C) 60 cm²

D) 44 cm²

Angles

G4. What Angle Am I? 📐

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Quick Memory: Acute < 90° · Right = 90° · Obtuse > 90° A cute (small) angle < 90! Ob-tuse is over-tuse (over 90°)

An angle measures 135°. What type of angle is it?

A) Acute

B) Right

C) Obtuse

D) Straight

Triangle Angles ⚠️ ALWAYS 180°!

G5. Three Angles = 180° 🔺

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Quick Memory: TRIANGLE SUM = 180° always! 🔺 Find missing angle: 180° − (other two angles)

A triangle has angles of 60° and 70°. What is the third angle?

A) 130°

B) 50°

C) 40°

D) 180°

Circles ⚠️ radius vs diameter!

G6. Pizza Circle Math 🍕

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Quick Memory: Area = π·r² | Circumference = 2πr r = radius (center to edge) | d = 2r

A circle has a radius of 5 cm. What is its area? (use π ≈ 3.14)

A) 15.7 cm²

B) 78.5 cm²

C) 31.4 cm²

D) 25 cm²

Volume

G7. Fill the Box! 📦

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Quick Memory: VOLUME = L × W × H (3 numbers!) 📦 Units are CUBED → cm³

A box has length 5 cm, width 4 cm, and height 3 cm. What is the volume?

V = cm³

Lines

G8. Parallel vs. Perpendicular 🛤️

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Quick Memory: PARALLEL = railroad tracks 🚂 (never meet) PERPENDICULAR = plus sign ✚ (meet at 90°)

Railroad tracks that never cross are an example of _____ lines.

A) Perpendicular

B) Parallel

C) Intersecting

D) Diagonal

Symmetry

G9. Mirror Image! 🪞

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Quick Memory: LINE OF SYMMETRY = fold line 📄➡️mirror Fold the shape — if both halves match = symmetric!

How many lines of symmetry does a square have?

A) 2

B) 4

C) 1

D) 0

G10

Pythagorean Theorem ⚠️ Only for RIGHT triangles!

G10. The Magic of a² + b² = c² 🔺

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Quick Memory: a² + b² = c² · c = HYPOTENUSE (longest side) Always label the longest side as c first!

A right triangle has legs a = 3 and b = 4. What is the hypotenuse c?

A) 7

B) 5

C) 12

D) 25

🔑 Answer Key

For Teacher Reference Only · Do Not Show Students During Practice

📘 Pre-Algebra (Q1–Q10)

Q1 — Variables

B) 11

Q2 — PEMDAS

B) 10

Q3 — Equations

x = 7

Q4 — Inequality

B) <

Q5 — Distributive

B) 4x + 12

Q6 — Fractions

x = 12

Q7 — Like Terms

B) 8x + y

Q8 — Ratio

x = 9

Q9 — Percent

B) 12

Q10 — Coordinate

B) x-coordinate

📐 Geometry (G1–G10)

G1 — Perimeter

26 cm

G2 — Area (rect)

B) 27 cm²

G3 — Triangle Area

C) 60 cm²

G4 — Angles

C) Obtuse

G5 — Triangle Sum

B) 50°

G6 — Circle Area

B) 78.5 cm²

G7 — Volume

60 cm³

G8 — Lines

B) Parallel

G9 — Symmetry

B) 4

G10 — Pythagorean

B) 5

💬 Quick Explanation Notes:
Q2: 5 + (2×3) − 1 = 5 + 6 − 1 = 10 (PEMDAS: multiply first!) | Q5: 4·x + 4·3 = 4x + 12 | Q7: 3x+5x=8x, 2y−y=y → 8x+y | G1: P = 2(8)+2(5) = 26 cm | G3: ½×12×10 = 60 cm² | G5: 180−60−70 = 50° | G6: 3.14×5² = 3.14×25 = 78.5 cm² | G10: 3²+4² = 9+16 = 25 = 5²