Free Printable 12MAG progress test 4

1.

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

(a)

2.

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...

(a)

3.

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

(a)

4.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

5.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

6.

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

a)

a_n = a_n-1 x 3

b)

a_n = 5(3)^n-1

c)

a_n = 3(5)^n-1

d)

a_n = 5 + (n-1)3

7.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

8.

Find the 11^th term for: 64, -32, 16, -8, …

a)

-.0625

b)

.0625

c)

-.03125

d)

.03125

9.

Location D is located at which coordinates?

a)

30^oN, 90^oW

b)

90^oN, 30^oW

c)

10^oN, 40^oW

d)

30^oN, 90^oE

10.

What is the name of this line at 0 degrees latitude?

a)

Prime Meridian

b)

Equator

c)

North Pole

d)

South Pole

11.

What is the name of the line at zero degrees longitude?

a)

Equator

b)

Prime Meridian

c)

North Pole

d)

South Pole

12.

The angular distance between ( $50\degree S,75\degree E$ ) and ( $50\degree S,110\degree E$ ) is:

a)

25 degrees

b)

60 degrees

c)

35 degrees

d)

185 degrees

13.

To find the distance betwen locations ( $35\degree S,75\degree W$ ) and ( $35\degree S,70\degree E$ ) use the formula:

a)

$dist\ =\ 111.2\ \times\$ angularDist

b)

$dist\ =\ 111.2\ \cos\theta\ \times$ angularDist

14.

To find the distance betwen locations ( $40\degree N,105\degree W$ ) and ( $40\degree S,105\degree W$ ) use the formula:

a)

$dist\ =\ 111.2\ \times\$ angularDist

b)

$dist\ =\ 111.2\ \cos\theta\ \times$ angularDist

15.

TImezone is linked to

a)

latitude

b)

longitude

16.

How many degrees of longitude per 1 hour of timezone?

a)

4

b)

15

c)

60

17.

The timezone for a location with co-ordinates $\left(30\degree N,60\degree E\ \right)$ is?

a)

GMT+ 2

b)

GMT-2

c)

GMT+4

d)

GMT-4

18.

The time difference between two locations at GMT -4 and GMT +7 is?

a)

7 hours

b)

3 hours

c)

4 hours

d)

11 hours

19.

TownA is at time zone GMT -1.

TownB is at time zone GMT +4.

If someone from TownB picks up their phone at 11pm on a Friday night and calls someone in TownA, what time is it in Town A?

a)

7pm Friday night

b)

3am Saturday morning

c)

6pm Friday night

d)

4am Saturday morning

20.

Use the map to determine which city is located closest to (31° N, 31° E).

a)

Tanta

b)

Damietta

c)

Alexandria

d)

Al Fayyum

21.

Calculate the distance along the parallel of latitude between Mount Gambier, South Australia (37° 50' S, 140° 47' E) and Bairnsdale, Victoria (37° 50' S, 147° 37' E) to the nearest kilometre.

(a)

22.

Seoul, South Korea, is located at approximately 37.6° N, 127.0° E. San Francisco, United States of America, is located at approximately 37.6° N, 122.4° W. Determine the shortest distance between these two cities to the nearest kilometre.

(a)

23.

A plane leaves Brisbane (UTC +10) at 10:45 pm on Monday and takes 14 hours and 35 minutes to fly to Dubai (UTC +4). Determine the local time and day in Dubai when the plane arrives.

ENTER THE DAY:

(a)

12MAG progress test 4

Total questions: 23

Worksheet time: 22mins

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