1. These five numbers are written in standard form.
4.5 × 105 8.7 × 10° 6.9 × 10-3 3.2 × 106 1.8 × 10-1 Arrange them in ascending order.

2. (a)Write 1.8 × 10-1as an ordinary number.(b) 4p × 45 = 415. Find the value of p.

3. Write 1.19886 correct to 3 significant figures.

4.(a) Which of the following does not equal the fraction 12/20 ? [pic]

(b). Simplify
[pic]

5. Hassan picks 24 kg of fruit.He finds that 8% of the fruit is rotten. Work out the mass of fruit which is rotten.

6. The population of a city is 550 000. It is expected that this population will increase by 42% by the year 2008. Calculate the expected population in 2008.

7. In triangle ABC, angle B is a right angle, angle A is equal to 45°, side AC = 20 cm. Find the length of side AB.

8.
[pic]

A, B and C are points on a circle, centre O.Angle AOB = 40°. (i) Write down the size of angle ACB. (ii) Find the size of angle OAB.

9. Find the hypotenuse of a right triangle with the other two sides measuring 3.2 cm and 2.4 cm.

10. Factorise the following
a) x2 + 8x + 15 (b)y2 – 15y+ 56

11.A railway line, between stations A and B, is straight and has a length of 4800 m. The bearing of B from A is 200 °. The point P is due east of B and due south of A.

[pic]
(a)Complete the sketch above to show triangle ABP.(b)Calculate the length of AP.

12.
[pic]
(a)Calculate the distance, OM, of the boy from the balloon. (b)Calculate angle MON.

13. In a triangle PQR, PQ = 12cm, QR = 1cm and PR = 13cm. Check whether this is a right triangle or not.

...
(Revised)
GCSE FOUNDATION
REVISION GUIDE
For Linear Course
Written by MR P BENSON – Maths Tutor
MARCH / APRIL 2005
VERSION 1 ISSUED FEBRUARY 2006
RE-UPDATED VERSION 2 MARCH 2008
VERSION 3 UPDATED FOR NEW SPECIFICATION 2011
CONTENTS PAGE
Section Topic Page
A Percentages 3
B Interest 3
C Nth Terms 3
D Ratio 4
E Lowest Common Multiples 4
F Highest Common Factors 4
G Prime Numbers 5
H Fractions 5
I Fractions/Decimals/Percentages 6
J Trial and Improvement 6
K Brackets 6
L Factorising 7
M Standard Form 7
N Indices 7
O Angles 8
P Area Formula 8
Q Perimeter 9
R Volume 9
S Pythagoras Theorem 10
T Bearings 10
U Interior/Exterior Angles in Polygons 10
V Averages 11
W Probability 12
X Relative Frequency 12
Y Scatter Diagrams 13
Z Pie Charts 13
AA Equation of Straight Lines 14
BB Compound Measures e.g. Speed 14
CC Solving Equations 15
GCSE FOUNDATION REVISION GUIDE
A PERCENTAGES
To find a percentage of an amount work out, percentage 100 x amount
e.g. To find 60% of 440 work out, 60 100 x 440 = 264 or
To find VAT on an item, repeat the above but use 17.5%
To find a percentage increase, find the...

...
Grade: 8
Section:
Worksheet Number: 1
Subject:
Chemistry
Topic:
Synthetic fibres & plastics
Name of teacher:
Ms.Juliet Mathais
Submission date:
26.05.2013
Date :19.05.2013
Name of student:
Q 1 Fill in the blanks with appropriate words.
(a) Synthetic fibres are also called _______ __ or _______ __ fibres.
(b) Synthetic fibres are synthesised from raw materials called _______ __.
(c) Like synthetic fibres, plastic is also a _______ __.
Q 2 Give reason- Rayon is different from synthetic fibres.
Q 3 Give examples which indicate that nylon fibres are very strong.
Q 4 Amit wants to buy shirts for summer. Should he buy cotton shirts or shirts made from synthetic material? Advise Amit giving reasons.
Q 5 Manufacturing synthetic fibres are actually helping conservation of forests’. Comment.
Q 6 Match the terms of column A correctly with the phrases given in column B.
A B
(i) Polyester (a) Prepared by using wood pulp
(ii) Teflon (b) Used for making parachutes and stockings
(iii) Rayon (c) Used to make non-stick cookware
(iv) Nylon (d) Fabrics do not wrinkle easily
Q 7 Explain why plastic containers are preferred for storing food.
Q 8 Explain the difference between thermoplastic and thermosetting plastics.
Q 9 Explain why the following are...

...Rahul Chacko
IB Mathematics HL Revision – Step One
Chapter 1.1 – Arithmetic sequences and series; sum of finite arithmetic series; geometric
sequences and series; sum of finite and infinite geometric series. Sigma notation.
Arithmetic Sequences
Definition: An arithmetic sequence is a sequence in which each term differs from the
previous one by the same fixed number:
{un} is arithmetic if and only if u n 1 u n d .
Information Booklet
u n u1 n 1d
Proof/Derivation:
u n 1 u n d
u n u n 1 d
u n 1 u1 dn
u n u1 dn
u n u1 n 1d
Derivations:
u1 u n n 1d
u u1
d n
n 1
u u1
n n
1
d
Information Booklet
Sn
n
2u1 n 1d n u1 u n
2
2
Proof:
Sn = u1 + u2 + u3 + …+ un
= u1 + (u1 + d) + (u1 + 2d) + (u1 + 3d) + …+ (u1 + (n − 1)d)
= un + (un − d) + (un − 2d) + (un + 3d) + …+ (un − (n − 1)d)
2Sn = n(u1 + un)
n
S n u1 u n
2
Derivations
2S n
u1
n
2S
u1 n u n
n
2S n
n
u1 u n
un
Geometric Sequences
Definition: A geometric sequence is a sequence in which each term can be obtained from
the previous one by multiplying by the same non-zero constant.
{un} is geometric if and only if
u n 1
r , n where r is a constant.
un
Information Booklet
u n u1 r n 1
Proof:
u n 1
r
un
u n r u n 1
un
u n 1
u n 1
r
u1 r n
u n u1 r n 1
Derivations:
u
u1 nn 1
r
1
u ...

...2 33 cm 117.80 cm 33/117.80 15.65o
3 37 cm 114.20 cm 37/114.20 17.95o
4 35 cm 116.10 cm 35/116.10 16.78o
5 39 cm 115.10 cm 39/115.10 18.72o
Based on the gathered data in Table 2, increasing the vertical height and the horizontal distance will make the coefficient friction a little constant just like in the first part of the experiment.
301625043287950033554816040854Figure 9
Figure 9
4275115530355Figure 8
Figure 8
36810953192310Figure 7. Set up for Determination of Maximum Force that cause Uniform Motion
Figure 7. Set up for Determination of Maximum Force that cause Uniform Motion
-76398432913300The last part of the experiment is “Determination of the Maximum Force that causes Uniform Motion” as shown in Figure 7. The first procedure is to incline the plane at an angle of 20o. Next is to add weights on the pan until a uniform upward motion of the block is observed. Record the weights. Using Newton’s First Law of Motion, determine the theoretical value of Wp that will cause the block to slide at constant speed. The forces acting on the block are (see Figure 8). The set up for this part is in Figure 6By summing up forces along x and y axes (refer to figure 9), and equating the forces to zero, the theoretical value of Wp is:
ΣFx=0
Wp=f+Wbsinθ;f=μN(Equation 4)
ΣFx=0
N= Wbcosθ (Equation 5)
Therefore,
Wp=μWhcosθ+Wbsinθ (Equation 6)
Table 3. Determination of the Angle Repose
TRIAL 𝜽 Wp (calculated) Wp (experimental)...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

... * the whole set: {apple, banana}
* the empty set: {}
So a set with two elements has 4 subsets.
A Set With Three Elements
How about:
{apple, banana, cherry}
OK, let's be more systematic now, and list the subsets by how many elements they have:
Subsets with one element: {apple}, {banana}, {cherry}
Subsets with two elements: {apple, banana}, {apple, cherry}, {banana, cherry}
And:
* the whole set: {apple, banana, cherry}
* the empty set: {}
In fact we could put it in a table:
| List | Number of
subsets |
zero elements | {} | 1 |
one element | {apple}, {banana}, {cherry} | 3 |
two elements | {apple, banana}, {apple, cherry}, {banana, cherry} | 3 |
three elements | {apple, banana, cherry} | 1 |
Total: | 8 |
(Note: did you see a pattern in the numbers there?)
Sets with Four Elements (Your Turn!)
Now try to do the same for this set:
{apple, banana, cherry, date}
Here is a table for you:
| List | Number of
subsets |
zero elements | {} | |
one element | | |
two elements | | |
three elements | | |
four elements | | |
Total: | |
(Note: if you did this right, there will be a pattern to the numbers.)
Sets with Five Elements
And now:
{apple, banana, cherry, date, egg}
Here is a table for you:
| List | Number of
subsets |
zero elements | {} | |
one element | | |
two elements | | |
three elements | | |
four elements | | |
five elements | | |...

...Respiration, digestion and rocks
Respiration
Respiration is a chemical reaction that happens in all living cells. It is the way that energy is released from glucose, for our cells to use to keep us functioning.
Remember that respiration is not the same as breathing (which is properly called ventilation).
The glucose and oxygen react together in the cells to produce carbon dioxide and water. The reaction is called aerobic respiration because oxygen from the air is needed for it to work.
Digestion
The glucose and oxygen react together in the cells to produce carbon dioxide and water. The reaction is called aerobic respiration because oxygen from the air is needed for it to work.
Enzymes are not living things. They are just special proteins that can break large molecules into small molecules. Different types of enzymes can break down different nutrients:
• carbohydrase or amylase enzymes break down starch into sugar
• protease enzymes break down proteins into amino acids
• lipase enzymes break down fats into fatty acids and glycerol.
The saliva in your mouth contains amylase, which is another starch digesting enzyme. If you chew a piece of bread for long enough, the starch it contains is digested to sugar, and it begins to taste sweet. Protease enzymes break down proteins into amino acids. Digestion of proteins in the stomach is helped by stomach acid, which is strong hydrochloric acid. This also kills harmful micro-organisms that may be in the food. Lipase...

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