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Revisions UP1

Total questions: 35

Worksheet time: 32mins

Name
Class
Date
1.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

2.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

3.

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

a)

12 g

b)

6 g

c)

27 g

d)

54 g

4.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

5.

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

a)

44.96 ft3

b)

49.96 ft3

c)

40.96 ft3

d)

32.96 ft3

6.

Determine the type of variation.

a)

Direct

b)

Inverse

c)

None

7.

If f varies jointly as q2 and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

a)

4

b)

2

c)

6

d)

3

8.

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

a)

42

b)

36

c)

25

d)

49

9.

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

a)

7

b)

9

c)

5

d)

21

10.

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

a)

105 cycles

b)

291.7 cycles

c)

2625 cycles

d)

332 cycles

11.

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

a)

6.5 hours

b)

7.75 hours

c)

8.9 hours

d)

10.2 hours

12.

Determine the type of variation.

a)

Direct

b)

Inverse

c)

None

13.
1. 1001112 = ...................8
a)
47
b)
67
c)
77
d)
11
14.
Given that x5 = 3510, then x =
a)
10
b)
12
c)
20
d)
120
15.
101+ 111=
a)
10002
b)
10012
c)
10112
d)
11002
16.
Which of the following is false?
a)
101+ 112 = 10002
b)
101- 112 = 102
c)
101 1102 = 568
d)
2348 = 1 011 1002
17.
Given that 43< x10 < 348, which of the following is not a possible value of x?
a)
25
b)
26
c)
27
d)
28
18.
Given that X10 = 11+ 11+ 118, find the value of X.
a)
15
b)
16
c)
17
d)
18
19.
110 1002 - 11 011=
a)
10 0002
b)
10 0012
c)
11 0012
d)
11 0112
20.
11 011=
a)
1710
b)
2710
c)
3310
d)
3710
21.
111012 in base five is
a)
101
b)
45
c)
33
d)
104
22.

What is the Place Value of the digit 2 in the number 523678?

a)

2 x 83

b)

81

c)

82

d)

83

23.

Write an expanded notation to the number 12034512034_5  . (if you can, that is ;)

a)

 1×55 +2×54+0×53+3×52+4×511\times5^{5\ }+2\times5^4+0\times5^3+3\times5^2+4\times5^1  

b)

 1×54+2×53+0×52+3×51+4×501\times5^4+2\times5^3+0\times5^2+3\times5^1+4\times5^0  

c)

 1×55 +2×54+3×52+4×511\times5^{5\ }+2\times5^4+3\times5^2+4\times5^1  

d)

 1×51 +2×52+0×53+3×54+4×551\times5^{1\ }+2\times5^2+0\times5^3+3\times5^4+4\times5^5  

24.

THINK FAST!! Numbers of base 2 is also called ......

a)

Decimal numbers

b)

Binary numbers

c)

Octal numbers

d)

Denary numbers

25.

Convert the number 1100012 to Base 8. (I bet you can't answer this one, heheh)

a)

50

b)

28

c)

53

d)

61

26.
What is the bearing of B from A
a)
025
b)
205
c)
25
d)
155
27.

What is
the Bearing
 of A
from B?
a)
45
b)
130
c)
045
d)
135
28.
In Diagram 1, P, Q and R are three points on a flat plane.   Find the bearing of Q from R.
Dalam Rajah 1, P, Q dan R adalah tiga titik pada satah mengufuk, Cari bearing Q dari R.
a)
065
b)
115
c)
210
d)
245
29.
P, Q and R lie on the earth’s surface. The bearing of Q from R is
P, Q dan R terletak pada permukaan bumi. Bearing Q dari R ialah
a)
315
b)
262
c)
096
d)
051
30.
E, F and G lie on the earth’s surface. The bearing of G from F is
E, F dan G terletak pada permukaan bumi. Bearing G dari F ialah
a)
028
b)
105
c)
208
d)
255
31.
P, Q and R lie on the earth’s surface.   The bearing of Q from R is
P, Q dan R terletak pada permukaan bumi.  Bearing Q dari R ialah
a)
045
b)
078
c)
258
d)
290
32.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

33.
Bearings are measured from North, Clockwise, using 3 digits
a)
True
b)
Flase
34.

what is the true bearing of A from B

a)

50

b)

050

c)

140

d)

320

35.
a)

A

b)

B

c)

C

d)

D