Year 10 Math part 2

Quadratic

100

x² - x - 2 =0

x=-1 x=2

200

What is called the discriminant?

D=b² - 4ac

300

Determine the minimum place and the minimum value of this function?

f(x)= (x-2)²-1

min. place: x=2

min. value: y = -1

400

x+y=11

x·y=30

x=5 y=6 or x=6 y=5

500

Factorize x²-x-6 .

(x+2)(x-3)

Geometry

100

What is the sum of the exterior angle in a hexagon?

360°

200

How long is the radius of a circumcircle of a right-angled triangle if the hypotenuse is 16 cm?

8 cm

300

What is the geometric mean of 8 and 2?

4

400

How big is one interior angle in a regular heptagon?

128.6°

500

The ratio of the radius of two spheres is 2:5. What is the ratio of their volumes?

8: 125

Trigomonetry

100

If cos30°=18/x, what is x?

20.78 cm

200

In a right-angled triangle the acute angles are 45°. The hypotenuse is 3 cm. How long are the legs?

2.12 cm

300

tanx · cotx = ?

1

400

sin 51° = cos.....

39°

500

Which function is described here?

domain: all real numbers except for 0°+k180°

range: all real numbers

zero: x = 90°+k180°

monotonously decreasing

f(x)=cotx

Power

100

x^3·x⁵=x^?

8

200

(x²·x⁸):(x⁷·x)=?

x²

300

(x³)⁵:(x³·x⁵)=?

x⁷

400

Give the answer in standard form.

1.2 ·10⁵ ·0.5·10^-8=?

6·10^-4

500

81^-0.25+243^0.2=?

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