Math Olympiad's

Algebra

100

What is K stand for in this equation?

7(K - 27) = 322

What is 73.

200

What does the letter z stand for.

5(z + 1) = 3(z + 2) + 11

What is 6.

300

Evaluate the expression when y = 2 and z = 3. (x stands for multiply)

(y³ - 7)(4y - 2z)² 

What is 4.

400

Solve for D

2D² + 9 = 59

What is 5 (and -5).

500

Evaluate the expression if x = -1

12x³ + 5x² + 4x - 6

What is -17.

PEMDAS

100

What is (4⁴ - 4) + 4 x 4

What is 268.

200

What is ((14 + 3) + (20/2)²) + 5²

What is 142.

300

What is (20/4)² + ((16/3) x 5²)

What is 225.

400

What is (7 + 7³) / (5² x 2)

What is 7.

500

What is 8² + 6 x 6 - 23 + (3³)(3²)

What is 320.

Word Problems

100

21 goats eat as much as 15 cows. How many goats each as much as 60 cows?

What is 84 goats.

200

If 20 articles cost $90, then the cost of 9 articles is?

What is $40.50.

300

If the cost of 12 eggs is $3, then find the cost of 4 dozen eggs.

What is $12.

400

You finally get an allowance!!! You put $2 away in January, $4 away in February, $8 away in March, and $16 away in April. You follow this savings pattern through to December. How much money do you have in 12 months?

What is $4,096.

500

It takes 6 cubes to build a staircase with 3 steps. How many cubes will be needed for 11 steps? 

What is 66 cubes.