9A Sem 1 Jeopardy

Measurement

100

What is the formula for the circumference of a circle?

𝝅d or 2𝝅r

200

The bases of a trapezium are 4km and 8km long, and its height is 6km. What is its area?

36km²

300

What is the surface area of a square-based pyramid that has a base length of 50m and a slant height of 35m?

6000m²

400

A cube has a surface area of 54cm². 

What is its volume?

27cm³

500

A cylindrical water tank has a radius of 3.5m and a height of 2m. How much water can it store (nearest Litre)?

76969L

Pythagoras and Trigonometry

100

Find 'x' (1 d.p.)

4.6

200

If a right angled triangle has short sides of 5m and 8m, what is the length of the hypotenuse?

√89m

300

Find 'theta' to the nearest degree 

60 degrees

400

Two buildings are 25m apart. There is a 50m long cable connecting the tops of each building (on the edge closest to each other). What is the difference in height of the two buildings (nearest m)?

43m

500

Jeff is 1.7m tall. He stands on a 53m tall cliff looking at a cargo ship that is 1280m away. What is the angle of depression from Jeff to the ship (2 d.p.)?

2.45 degrees

Probability and Data

100

Find the Mean:

12, 15, 18, 17, 9, 1

12

200

What is the probability that someone likes Wendy's? 

Pr (W) = 7/25

300

Find the IQR:

12, 15, 18, 17, 9, 1, 7, 25

9.5

400

Suppose we have 2 bags. The first bag contains 1 silver coin and 4 gold coins. The second bag contains 3 silver coins and 1 gold coin. 

If we select one coin at random from each bag, what is the probability that we will get 2 gold coins or 2 silver coins?

Pr(Both silver or gold) = 7/20

Indices and Surds

100

Simplify

√5 - 3√5 

-2√ 5

200

(5m⁶ x 3mn) / (6n)²

5m⁷ / 12n

300

 Simplify 3√9 + 2√6 x √9

3√9 + 6√6 

400

Express using positive indices:

3x^-3y^-5z² / (9y²)^-2

243z² / x³y

500

Expand and Simplify, expressing with positive indices:

5(√256 x 16a^-2b^1/3)^-1/4

5√a / 4b^1/12

or 5a^1/2/4b^1/12

Geometry

100

Congruent means same _____ and ______ 

size, shape

200

Name the 4 tests for similarity of triangles

SSS, SAS, AA/AAA, RHS

300

Find 'x' and 'y' and give reasons

y = 130 degrees (supp.) 

x = 50 degrees (corr.)

400

State the value of an interior angle on a regular heptagon (nearest degree).

129 degrees. 

500

Are these triangles similar? If so, write a similarity statement and state the value of the scale factor (assuming that the larger triangle is an image).

△ABC lll △EDC (AAA)

Scale factor = 1.2