e maths – Page 3 – Mathtuition88

E Maths Prefixes

E Maths Prefixes

Tera	$10^{12}$
Giga	$10^9$
Mega	$10^6$
Kilo	$10^3$

Milli	$10^{-3}$
Micro	$10^{-6}$
Nano	$10^{-9}$
Pico	$10^{-12}$

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Academic grading in Singapore: How many marks to get A in Maths for PSLE, O Levels, A Levels

Maths Group Tuition

Source: http://en.wikipedia.org/wiki/Academic_grading_in_Singapore

Singapore‘s grading system in schools is differentiated by the existence of many types of institutions with different education foci and systems. The grading systems that are used at Primary, Secondary, and Junior College levels are the most fundamental to the local system used.

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Primary 5 to 6 standard stream

A*: 91% and above
A: 75% to 90%
B: 60% to 74%
C: 50% to 59%
D: 35% to 49%
E: 20% to 34%
U: Below 20%

Overall grade (Secondary schools)

A1: 75% and above
A2: 70% to 74%
B3: 65% to 69%
B4: 60% to 64%
C5: 55% to 59%
C6: 50% to 54%
D7: 45% to 49%
E8: 40% to 44%
F9: Below 40%

The GPA table for Raffles Girls’ School and Raffles Institution (Secondary) is as below:

Grade	Percentage	Grade point
A+	80-100	4.0
A	70-79	3.6
B+	65-69	3.2
B	60-64	2.8
C+	55-59	2.4
C	50-54	2.0
D	45-49	1.6
E	40-44	1.2
F	<40	0.8

The GPA table differs from school to school, with schools like Dunman High School excluding the grades “C+” and “B+”(meaning grades 50-59 is counted a C, vice-versa) However, in other secondary schools like Hwa Chong Institution and Victoria School, there is also a system called MSG (mean subject grade) which is similar to GPA that is used.

Grade	Percentage	Grade point
A1	75-100	1
A2	70-74	2
B3	65-69	3
B4	60-64	4
C5	55-59	5
C6	50-54	6
D7	45-49	7
E8	40-44	8
F9	<40	9

The mean subject grade is calculated by adding the points together, then divided by the number of subjects. For example, if a student got A1 for math and B3 for English, his MSG would be (1+3)/2 = 2.

O levels grades

A1: 75% and above
A2: 70% to 74%
B3: 65% to 69%
B4: 60% to 64%
C5: 55% to 59%
C6: 50% to 54%
D7: 45% to 49%
E8: 40% to 44%
F9: Below 40%

The results also depends on the bell curve.

Junior college level (GCE A and AO levels)

A: 70% and above
B: 60% to 69%
C: 55% to 59%
D: 50% to 54%
E: 45% to 49% (passing grade)
S: 40% to 44% (denotes standard is at AO level only), grade N in the British A Levels.
U: Below 39%

Tips on attempting Geometrical Proof questions (E Maths Tuition)

Tips on attempting Geometrical Proof questions (O Levels E Maths/A Maths)

1) Draw extended lines and additional lines. (using pencil)

Drawing extended lines, especially parallel lines, will enable you to see alternate angles much easier (look for the “Z” shape). Also, some of the more challenging questions can only be solved if you draw an extra line.

2) Use pencil to draw lines, not pen

Many students draw lines with pen on the diagram. If there is any error, it will be hard to remove it.

3) Rotate the page.

Sometimes, rotating the page around will give you a fresh impression of the question. This may help you “see” the way to answer the question.

4) Do not assume angles are right angles, or lines are straight, or lines are parallel unless the question says so, or you have proved it.

For a rigorous proof, we are not allowed to assume anything unless the question explicitly says so. Often, exam setters may set a trap regarding this, making the angle look like a right angle when it is not.

5) Look at the marks of the question

If it is a 1 mark question, look for a short way to solve the problem. If the method is too long, you may be on the wrong track.

6) Be familiar with the basic theorems

The basic theorems are your tools to solve the question! Being familiar with them will help you a lot in solving the problems.

Hope it helps! And all the best for your journey in learning Geometry! Hope you have fun.

“There is no royal road to Geometry.” – Euclid

Animation of a geometrical proof of Phytagoras... — Animation of a geometrical proof of Pythagoras theorem (Photo credit: Wikipedia)

O Level E Maths Tuition: Statistics Question

Solution:

From the graph,

Median = 50th percentile = $22,000 (approximately)

The mean is lower than $22000 because from the graph, there is a large number of people with income less than $22000, and fewer with income more than $22000. (From the wording of the question, calculation does not seem necessary)

Hence, the median is higher.

The mean is a better measure of central tendency, as it is a better representative of the gross annual income of the people. This is because more people have an income closer to the mean, rather than the median.