EASY LEVEL(Pre-middle school)
Basic Arithmetic:‌
1. 12 × (7 - 3) + 18 ÷ 2 = ?2. Find the prime factors of 84.‌Algebra:‌3. Solve for x: 3x + 7 = 224. Expand and simplify: (2x - 5)(x + 3)
‌Geometry:‌5. A right triangle has legs of 6cm and 8cm. What is the length of the hypotenuse?6. Calculate the area of a circle with diameter 10cm (use π ≈ 3.14).
‌Word Problems:‌7. If a train travels 300km in 2.5 hours, what is its average speed?8. A shirt costs $45 after a 25% discount. What was its original price?
‌Challenge Problems:‌9. The sum of three consecutive odd integers is 57. Find the numbers.10. Solve the system of equations:2x + y = 11x - 3y = -5
MEDIUM LEVEL(Middle school)
Other:
0. Use these four integers to make 24 by adding operators inbetween : 4,4,10,10
Basic Equations:‌
1. Solve for x: 5x - 8 = 222. Find y: 3(y + 4) = 33
3. 2x + 15 = x + 23‌Two-Step Problems:‌4. The sum of a number and 7 is multiplied by 4, giving 52. Find the number.5. When 12 is subtracted from twice a number, the result is 18. What's the number?
‌Simplifying Expressions:‌6. Simplify: 4(3x - 2) - 2(5x + 1)7. Combine like terms: 7a + 3b - 2a + 5b
‌Word Problems:‌8. A rectangle's length is 5cm more than its width. If the perimeter is 38cm, find both dimensions.9. Sara is twice as old as Li Ming. In 5 years, their combined age will be 55. How old are they now?
‌Inequalities:‌10. Solve and graph: 2x + 7 < 1511. Which values satisfy: -3 ≤ 2n + 1 < 5
‌Patterns & Sequences:‌12. Find the nth term rule: 7, 11, 15, 19, 23,...
HARD LEVEL: (High school)
1. Use these four integers to make 24 by adding operators inbetween : 1,4,5,6
2. Integers 1~10 are writen in a circle, prove that at least three integers that are side by side add up to be greater then 16
3. For the function: f(x)=x*x+19*x, Calculate the slope