1.
A superball is dropped from a building 30 metres high. It each bounce, it loses 30% of its height. What will be the total distance traveled by the ball until it rests on the ground?
2.
A baby kangaroo is grazing in a paddock 20 metres outside the National Park. He sees a ute full of noisy teenagers driving his way, and decides that the park might be safer than a farmers paddock. He bounds toward the fence, his first leap taking him 5 metres. Each successive leap is 20% less than the previous leap. How many leaps will it take the kangaroo to reach safety?
3.
I spill a 20 litre can of paint on the carpet. I’m in serious trouble. When it starts, it covers 200 square centimetres. In the first minute it has spread by 40 square centimetres, and is growing by 20% each minute. What is the final area of the stain in square centimetres?
4.
I’m standing by a lake, skipping stones. My first skip is 5 metres, and each successive skip is 30% less. What is the total distance (to the nearest whole number) my stone will travel before it stops skipping?
5.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
6.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
7.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
8.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
9.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
10.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
11.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
12.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
13.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
14.
From the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
15.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
16.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
17.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
18.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
19.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
20.
From the sum of the sequence above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
21.
From the values given above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
22.
From the values given above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
23.
From the values given above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
24.
From the values given above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric
25.
From the values given above, can an infinite geometric series be calculated?
A.
Yes, it is geometric and it is converging
B.
No, it is geometric but it diverges
C.
No, it's not even geometric