Two-step 🪜

$$3x - 3 = 27$$

Find $x$.

Greatest common divisor 🔢

$$\gcd(30, 27) = \;?$$

Handshakes 🤝

$14$ people each shake hands once. How many handshakes?

Solve for $x$ 🔍

$$2x - 11 = -25$$

Least common multiple 🔢

$$\text{lcm}(10, 8) = \;?$$

⭕ The circumference of a circle of radius 7 cm is? (use $\pi = \frac{22}{7}$)

Mixed shapes 🏠

A house = a 6 cm × 4 cm rectangle with a triangular roof of height 3 cm.

Find the total area (in cm²).

👨‍👦 The ratio of a father’s to his son’s age is 7 : 2. Their ages differ by 30 years.

How old is the son?

Greatest common divisor 🔢

$$\gcd(9, 7) = \;?$$

Geometry 📐

A right triangle has legs of 3 cm and 4 cm.

Find the hypotenuse (in cm).

Pythagoras 📐

A right triangle has legs $21$ and $20$.

Find the hypotenuse.

🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{5}{18} \times \left(\frac{6}{15} + \frac{5}{15}\right)$$

✏️ 2 pencils and 3 books cost 21 dollars. One pencil costs 3 dollars.

How many dollars is one book?

Ages 👨‍👦

A father is 3 times as old as his son. Together their ages add up to 40.

How old is the son?

➕ What is the sum of the first 20 odd numbers ($1 + 3 + 5 + \cdots$)?

🎆 No calculator — 10 seconds, in your head:
$$2026^2 - 2025^2 = \,?$$

🇫🇷 Révision 2nde · Compute as an irreducible fraction:

$$\frac{4}{3} - \frac{2}{3} \times \frac{5}{8}$$

Two-step 🪜

$$6x - 8 = 34$$

Find $x$.

🚗 Someone usually drives 30 km to the office in 1 hour. One day he leaves 10 minutes late.

What speed (km/h) must he drive to still arrive on time?

🔢 GCD and LCM — evaluate each:

💯 Percentages II — find each:

Pizza night 🍕

A pizza is cut into 8 slices. Tom eats 2 and Ana eats 5.

What fraction of the pizza is left?

Farmyard puzzle 🐔🐰

Chickens and rabbits share a yard: 11 heads and 34 feet in total.

How many rabbits are there?

Solve for $x$ 🔍

$$2x - 11 = 5$$

🧮 Same tens digit, and the units add to 10 — that unlocks a 2-second trick.

Solve all four in order:

Two dice 🎲🎲

Probability the sum is $11$? (as a fraction)

🇫🇷 Révision 2nde · Write $5 + 6\sqrt{2}\,(3\sqrt{2}+4)$ in the form $a + b\sqrt{2}$.

What is $a$?

Two-step 🪜

$$5x - 2 = 8$$

Find $x$.

Choose 🎯

$$\binom{7}{3} = \;?$$

Pizza night 🍕

A pizza is cut into 12 slices. Tom eats 1 and Ana eats 2.

What fraction of the pizza is left?

Greatest common divisor 🔢

$$\gcd(39, 10) = \;?$$

🗺️ A map has scale 1 : 500,000. Two cities are 8 cm apart on the map.

What is the real distance in km?

Clock angle 🕐

Angle between the hands at $10{:}00$ (in degrees)?

Larger root wins 🏆

$$x^2 - x - 30 = 0$$

Give the larger root.

Two dice 🎲🎲

Probability the sum is $6$? (as a fraction)

🪞 A number and its mirror:
$$x + \frac{1}{x} = 4$$

What is $x^3 + \frac{1}{x^3}$?

Solve for $x$ 🔍

$$2x - 4 = 8$$

🏗️ 16 workers finish a house in 30 days.

To finish it in 24 days instead, how many workers are needed?

Neighbors 🔢

The sum of three consecutive whole numbers is 99.

What is the smallest of the three?

Multiply the fractions ✖️

$$\frac{2}{4} \times \frac{1}{5} = \;?$$

Pizza night 🍕

A pizza is cut into 8 slices. Tom eats 4 and Ana eats 2.

What fraction of the pizza is left?

⭕ The area of a circle of radius 10 cm is? (use $\pi = 3.14$, in cm²)

Least common multiple 🔢

$$\text{lcm}(6, 4) = \;?$$

Count divisors ➗

How many positive divisors does $29$ have?

Ages 👨‍👦

A father is 3 times as old as his son. Together their ages add up to 60.

How old is the son?

Two-step 🪜

$$2x - 9 = 15$$

Find $x$.

🌀 The Fibonacci pattern: 1, 1, 2, 3, 5, 8, ...

What is the next number?

Prime count 🧮

How many prime numbers are below $50$?

🇫🇷 Révision 2nde · Compute (integer result):

$$\frac{3.9 \times (10^{-2})^2}{3 \times 10^{-5}}$$

Multiply the fractions ✖️

$$\frac{2}{5} \times \frac{2}{5} = \;?$$

Greatest common divisor 🔢

$$\gcd(39, 43) = \;?$$

Two coins 🪙🪙

Probability of at least one head? (as a fraction)

Greatest common divisor 🔢

$$\gcd(54, 49) = \;?$$

🧱 A brick weighs 1 kg plus half a brick.

How many kg does the brick weigh?

📚 In how many ways can 4 different books be arranged in a row?

Multiply the fractions ✖️

$$\frac{2}{6} \times \frac{2}{3} = \;?$$

Greatest common divisor 🔢

$$\gcd(33, 19) = \;?$$

Multiply the fractions ✖️

$$\frac{2}{5} \times \frac{5}{5} = \;?$$

Two coins 🪙🪙

Probability of exactly one head? (as a fraction)

👧 Sari is 3 years older than Dina. Together their ages sum to 27.

How old is Dina?

🪷 A water lily on a pond DOUBLES in size every day. On day 30 it covers the whole pond.

On which day did it cover half the pond?

🔣 Exponent laws — simplify each (type like x^5):

📐 A right triangle has legs of 6 cm and 8 cm.

How many cm is the hypotenuse?

Logarithm 🔟

$$\log_{10} 10000 = \;?$$

Larger root wins 🏆

$$x^2 - 16 = 0$$

Give the larger root.

Neighbors 🔢

The sum of three consecutive whole numbers is 114.

What is the smallest of the three?

Least common multiple 🔢

$$\text{lcm}(3, 3) = \;?$$

Neighbors 🔢

The sum of three consecutive whole numbers is 117.

What is the smallest of the three?

Two-step 🪜

$$4x - 7 = 41$$

Find $x$.

Neighbors 🔢

The sum of three consecutive whole numbers is 90.

What is the smallest of the three?

🇫🇷 Révision 2nde · Compute $(4-2\sqrt{3})(4+2\sqrt{3})$.

Solve for $x$ 🔍

$$6x + 10 = -38$$

Two coins 🪙🪙

Probability of two heads? (as a fraction)

🧮 Order of operations II — evaluate each:

Multiply the fractions ✖️

$$\frac{1}{6} \times \frac{1}{6} = \;?$$

💳 Mr. Ben borrows 1000 dollars at 2% interest per month.

How many dollars must he repay in total after 3 months?

✂️ Multiply and divide fractions (as a fraction):

🟩 What is the sum of the even numbers from 2 to 100 ($2 + 4 + \cdots + 100$)?

Pythagoras 📐

A right triangle has legs $4$ and $3$.

Find the hypotenuse.

Greatest common divisor 🔢

$$\gcd(40, 24) = \;?$$