Start-up Grade 9

Number Theory

100

Is 32456 divisible by 3?

No.

200

What is the smallest two-digit prime number?

11

300

True or False? If a number is divisible by 12, then it is also divisible by 4.

True.

400

What is the greatest common divisor of 18 and 27?

9

500

What is the lowest common multiple of 10 and 15? 

30

Algebra

100

Factorize 12xy +18x.

6x (2y+3)

200

Open the brackets:
(x -1)(x+1)

x^{2 _} 1

300

I thought of a number. I added 2, then I multiplied by 3. Then I subtracted 1 and I got 20. Which number did I think of?

5

400

2(x - 1) + 3 (2 - x) = 9

-5

500

In a family a father alone can dig their whole garden in 1 hour. His wife can do it in 2 hours. How much time is needed if they work together? 

40 minutes

Geometry

100

In a right-angled triangle there is always a ........ degree angle.

90

200

How many sides are there in a nonagon?

9

300

What is the sum of the exterior angles in a triangle?

360

400

Calculate the area of circle whose radius is 10 cm.

314 cm²

500

In a right-angled triangle the two shorter sides are 5 cm and 12 cm. Calculate the longest side.

13