Magnitude is a measure of the amount of energy released during an earthquake. It may be expressed using several magnitude scales. One of these, Used in Southern California, is called the Richter scale. To calculate magnitude, the amplitude of waves on a seismogram is measured, correcting for the distance between the recording instrument and the earthquake epicentre. Since magnitude is representative of the earthquake itself, there is thus only one magnitude per quake. Taking the Lawton earthquake of 1998 APR 28, as an example, one could not therefore speak of magnitude 4 at Lawton and magnitude 3 at Tulsa. The effects at the two places were different, but the magnitude of an earthquake is unique; in this example, it was 4.2 on the Richter scale. The magnitude scale is logarithmic. This means that, at the same distance, an earthquake of magnitude 6 produces vibrations with amplitudes 10 times greater than those from a magnitude 5 earthquake and 100 times greater than those from a magnitude 4 earthquake.In terms of energy, an earthquake of magnitude 6 releases about 30 times more energy than an earthquake of magnitude 5 and about 1000 times more energy than an earthquake of magnitude 4. It is very unlikely that an earthquake of magnitude less than 5 could cause any damage.

Richter Magnitude Scale
In 1935, Charles F. Richter devised a scale for quantifying the amount of energy released by an earthquake. His scale, known as the Richter scale, was a logarithmic scale based upon the relationship between an earthquake's peak amplitude, or ground motion, and the distance of the recording device from the quake's epicenter. As a base-ten logarithmic scale, each whole number increase equals a ten-fold increase in ground movement, and around 31 times the energy. The scale was designed for California earthquakes and is not reliable for magnitudes greater than seven, or distances greater than 370...

...1. 3 metres of ribbon cost £1.26.
Work out the cost of 5 metres of the same ribbon.
£ …………………………
(Total 2 marks)
2.
A Large tub of popcorn costs £3.80 and holds 200 g.
A Regular tub of popcorn costs £3.50 and holds 175 g.
Rob says that the 200 g Large tub is the better value for money.
Linda says that the 175 g Regular tub is the better value for money.
Who is correct?
………………………
Explain the reasons for your answer. You must show all your working.
(Total 2 marks)
3. This is a list of ingredients for making a pear & almond crumble for 4 people.
Ingredients for 4 people.80 g plain flour60 g ground almonds90 g soft brown sugar60 g butter4 ripe pears Work out the amount of each ingredient needed to make a pear & almond crumble for 10 people.
..................... g plain flour
..................... g ground almonds
..................... g soft brown sugar
..................... g butter
..................... ripe pears
(Total 3 marks)
4. Bob lays 200 bricks in 1 hour.
He always works at the same speed.
Work out how long it will take Bob to lay 960 bricks.
Give your answer in hours and minutes.
………………hours.………………minutes
(Total 3 marks)
5. Picture NOT accurately drawn
A model of a space shuttle is made to a scale of 2 centimetres to 1 metre.
The length of the space shuttle is 24 metres.
(a) Work out the length of the model.
Give your answer in centimetres.
………………………cm
(2)
The height of the...

...Exam Name:
AAO (Assistant Administrative Officer)
Conducted By:
LIC
Topic:
Quantitative Aptitude
1. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the
remainder is 46, the dividend is:
(1) 4236
(2) 4306
(3) 4336
(4) 5336
2. If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is:
(1) 730/77
(2) 73/77
(3) 7.3/77
(4) 703/77
3. An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each
km if he drives his own car. If in one week he claimed Rs. 595 for traveling km. How many kms
did he travel by taxi?
(1) 55
(2) 65
(3) 62
(4) 70
4. The square root of 3 + √5 is :
(1) √3 /2 + 1/√2
(2) √3 /2 - 1/√2
(3) √5 /2 - 1/√2
(4) √(5/2) + √(1/2)
5. The mean temperature of Monday to Wednesday was 370C and of Tuesday to Thursday was
340C, if the temperature on Thursday was 4/5th that of Monday, then what was the temperature
on Thursday?
(1) 36.50C
(2) 360C
(3) 35.50C
(4) 340C
6. A certain number of two digits is three times the sum of its digits. If 45 be added to it, the
digits are reversed. The number is:
(1) 72
(2) 32
(3) 27
(4) 23
7. Three years ago the average age of A and B was 18 years. While C joining them now, the
average becomes 22 years. How old (in years) is C now?
(1) 24
(2) 27
(3) 28
(4) 30
8. If 2^(2x-1) = 8^(3-x), then the value of x is:
(1) -1
(2) -2
(3) 2
(4) 3
9. A man's basic pay for a 40 hours' week is Rs. 200. Overtimes is paid at 25% above the basic...

...student now starts moving the box up a
13.5◦ incline, keeping her 170 N force directed
at 26◦ above the line of the incline.
0
17
27. 8 k
N
26◦
g
13.5◦
Fx = Fx − fk − Wx = m ax ,
and the acceleration is
Fx − fk − Wx
m
F cos α − µk N
=
− g sin θ
m
(170 N) cos 26◦ − 0.268(190.389 N)
=
27.8 kg
2
− 9.8 m/s sin 13.5◦
ax =
= 1.37305 m/s2
directed up the incline.
If the coeﬃcient of friction is unchanged,
what is the new acceleration of the box?
Correct answer: 1.37305 m/s2 .
Explanation:
Given :
θ = 13.5◦ .
Consider the free body diagram for the
block
046 10.0 points
A sample of blood is placed in a centrifuge
of radius 19.1 cm. The mass of a red blood
cell is 3.1 × 10−16 kg, and the magnitude of
the force acting on it as it settles out of the
plasma is 6 × 10−11 N.
At how many revolutions per second should
the centrifuge be operated?
Correct answer: 160.213 rev/s.
Explanation:
emmanuel (ae8272) – hw07-Waves and vibrations – dickerson – (28763)
Let :
r = 19.1 cm = 0.191 m ,
m = 3.1 × 10−16 kg , and
Fc = 6 × 10−11 N .
The centripetal force gives us the angular
velocity:
v2
Fc = m
= m r ω2
r
Fc
ω=
mr
=
6 × 10−11 N
(3.1 × 10−16 kg)(0.191 m)
1 rev
2 π rad
= 160.213 rev/s .
047 10.0 points
Two blocks of masses 8 kg and 26 kg are
placed on a horizontal, frictionless surface. A
light spring is attached to one of them, and
the blocks are pushed together with the...

...Map Scale
Chapter 2
Map Scale
You have read in Chapter 1 that the scale is an essential element of all types of maps. It is so important that if a network of lines and polygons does not carry a scale, we call it a “sketch”. Why is the scale so important ? What does it mean ? What are the different methods of showing the scale on a map? How useful is the scale in measuring the distances and the area? These are some of the questions which will be taken up in the present chapter. Glossary
Denominator: The number below the line in a fraction. For example, in a fraction of 1 : 50,000, 50,000 is the denominator. Numerator: The number above the line in a fraction. For example, in a fraction of 1 : 50,000, 1 is the numerator. Representative Fraction: A method of scale of a map or plan expressed as a fraction showing the ratio between a unit distance on the map or plan, and the distance measured in the same units on the ground.
What is Scale ?
You must have seen maps with a scale bar indicating equal divisions, each marked with readings in kilometres or miles. These divisions are used to find out the ground distance on the map. In other words, a map scale provides the relationship between the map and the whole or a part of the earth’s surface shown on it. We can also express this relationship as a ratio of distances between two points on the map and the corresponding distance between the same two points on the ground.
17
Practical Work in Geography
There are...

...UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
MATHEMATICS Paper 3 (Core)
*058001*
0580/03 0581/03
May/June 2006 2 hours
w w w e tr .X m eP e ap .c rs om
Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional)
Candidate Name
Centre Number
Candidate Number
READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN THE BARCODE. DO NOT WRITE IN THE GREY AREAS BETWEEN THE PAGES. Answer all questions. If working is needed for any question it must be shown below that question. The number of marks is given in brackets [ ] at the end of each question or part question.
For Examiner's Use
The total number of marks for this paper is 104. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Given answers in degrees to one decimal place. For π , use either your calculator value or 3.142. This document consists of 11 printed pages and 1 blank page.
IB06 06_0580_03/4RP UCLES 2006
[Turn over
2 1
y
For Examiner's Use
6 B 4
2 T x 2 4...

...TWO
2.1 (a)
= 18144 × 10 9 ms . 1 wk 1 d 1 h 1 s 38.1 ft / s 0.0006214 mi 3600 s (b) = 25.98 mi / h ⇒ 26.0 mi / h 3.2808 ft 1 h 3 wk 7d 24 h 3600 s 1000 ms
(c)
554 m 4 1d 1h d ⋅ kg 24 h 60 min
1 kg 108 cm 4 = 3.85 × 10 4 cm 4 / min⋅ g 1000 g 1 m 4
2.2 (a) (b) (c)
1 m 1 h 760 mi = 340 m / s h 0.0006214 mi 3600 s 921 kg 2.20462 lb m m3 1 kg 1 m3 = 57.5 lb m / ft 3 35.3145 ft 3 1.34 × 10 -3 hp = 119.93 hp ⇒ 120 hp 1 J/s
5.37 × 10 3 kJ 1 min 1000 J min 60 s 1 kJ
2.3 Assume that a golf ball occupies the space equivalent to a 2 in × 2 in × 2 in cube. For a classroom with dimensions 40 ft × 40 ft × 15 ft : 40 × 40 × 15 ft 3 (12) 3 in 3 1 ball n balls = . = 518 × 10 6 ≈ 5 million balls ft 3 2 3 in 3 The estimate could vary by an order of magnitude or more, depending on the assumptions made. 2.4 4.3 light yr 365 d 24 h
1 yr 1d 3600 s 1.86 × 10 5 mi 1 h 1 s 3.2808 ft 0.0006214 mi 1 step = 7 × 1016 steps 2 ft
2.5 Distance from the earth to the moon = 238857 miles
238857 mi 1 m 1 report 0.001 m 0.0006214 mi = 4 × 1011 reports
2.6
19 km 1000 m 0.0006214 mi 1000 L = 44.7 mi / gal 1 L 1 km 1 m 264.17 gal Calculate the total cost to travel x miles. Total Cost
American
= $14,500 +
$1.25 1 gal gal 28 mi
x (mi)
= 14,500 + 0.04464 x
Total Cost
European
= $21,700 +
$1.25 1 gal x (mi) = 21,700 + 0.02796 x gal 44.7 mi
Equate the two costs ⇒ x = 4.3 × 10 5 miles
2-1
2.7
5320 imp. gal plane ⋅ h = 1.188 × 105 14 h 365 d 1 d 1 yr 106 cm3 220.83 imp. gal 0.965 g 1...