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2. SET or SAT?SET – Subject Entrance Tests
3. Admissions Criteria for NUThe requirements for admission
4. Subject Entrance TestsAn applicant must take two
5. Which Test?School of Engineering – Maths and
6. Subject Entrance Tests - RulesApplicants must complete
7. Taking the Subject Entrance Tests The tests
8. The Mathematics Test There are 30 questions.
9. The Mathematics Test60 minutes is the maximum
10. IssuesStudents need to be familiar with the
11. NotationDecimalsMultiplicationDivisionCoordinatesTrigonometry … and …
12. Question 1On a journey a certain weight
13. Question 2In the diagram PQ = PR,
14. Question 3What is the value of 21 x 101 – 21 – 101 ?
15. Question 4In the diagram below how many
16. Question 5What is the sum of all the first 20 even numbers ?
17. Question 6Equals…
18. Question 7Mary’s height increased by 20% between
19. Question 8(1550 + 1551 + 1552 +
20. Question 9A rectangular sheet of paper with
21. Question 10When exactly is the value of
22. Question 11The diagram shows a trapezium ABCD,
23. Question 12 In a right angled triangle the
24. Question 13 ABCD is a trapezium. The length
25. Question 14In the diagram PQ = PR = RS. What is the size of angle x?
26. Question 15Ima Divvy used her calculator and
27. Question 16 A pencil AB lying on a
28. Question 17Which of these numbers is odd ?14 + 134 + 254 + 374 + 5114 + 7
29. Question 18The sum of six consecutive odd
30. Question 19The integer part of a positive
31. Question 20If |x| < 0.5, (4 -
32. Question 21For each real number x, let
33. Question 22If y = xex then dy/dx =xex x + ex x + xexex + xexNone of these
34. Question 23If c is a constant, what
35. Question 24Observe that 18 = 42 + 12 +
36. Question 25In the diagram below the smaller
37. Question 26 If y = sin(x2) then dy/dx =cos(x2)2x.sin(x2)2sin(x)2x.cos(x)2x.cos(x2)
38. Question 27(x − 1)(x4 + 1)(x2 + 1)(x +
39. Question 28If x2 - 3x + 1 = 0, what is the value of …x2 + (1/x)2 ?
40. Question 29The expression 3 @ 7 → 4 is
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SET or SAT?SET – Subject Entrance Tests for Nazarbayev University or UCL (London) foundation yearSAT – Entrance Tests for American Universities (slightly different format and content)

Subject Entrance TestsFor entrance to Nazarbayev UniversityClaire Powis

Admissions Criteria for NUThe requirements for admission to the University of Nazarbayev

Subject Entrance TestsAn applicant must take two Subject Entrance Tests (SET) written

Which Test?School of Engineering – Maths and Physics School of Natural Sciences

Subject Entrance Tests - RulesApplicants must complete the tests without help from

Taking the Subject Entrance Tests The tests will be administered in March.

The Mathematics Test There are 30 questions. The questions are multiple-choice.Applicants should

The Mathematics Test60 minutes is the maximum time allowed.Questions are written using

IssuesStudents need to be familiar with the notation used in the testThere

NotationDecimalsMultiplicationDivisionCoordinatesTrigonometry … and …

Question 1On a journey a certain weight of luggage is carried free,

Question 2In the diagram PQ = PR, ∠QMP = 80° and ∠QPM

Question 3What is the value of 21 x 101 – 21 – 101 ?

Question 4In the diagram below how many different routes are there from

Question 5What is the sum of all the first 20 even numbers ?

Question 7Mary’s height increased by 20% between her 5th birthday and her

Question 8(1550 + 1551 + 1552 + .... + 1648 + 1649)

Question 9A rectangular sheet of paper with sides 1 and 2 has

Question 10When exactly is the value of the value of the product

Question 11The diagram shows a trapezium ABCD, whose base length CD is

Question 12 In a right angled triangle the longest side has length 13cm,

Question 13 ABCD is a trapezium. The length of CE is ¼ the

Question 14In the diagram PQ = PR = RS. What is the size of angle x?

Question 15Ima Divvy used her calculator and divided a number by 40

Question 16 A pencil AB lying on a table is given a half

Question 17Which of these numbers is odd ?14 + 134 + 254 + 374 + 5114 + 7

Question 18The sum of six consecutive odd numbers is 60. What is

Question 19The integer part of a positive number is the part before

Question 20If |x| < 0.5, (4 - 8x) - ½ =½ (1 + x

Question 21For each real number x, let [x] be the biggest integer

Question 22If y = xex then dy/dx =xex x + ex x + xexex + xexNone of these

Question 23If c is a constant, what is- 24x2 + 36x3 + c4x −

Question 24Observe that 18 = 42 + 12 + 12 + 02. How many of

Question 25In the diagram below the smaller circle touches the larger circle

Question 26 If y = sin(x2) then dy/dx =cos(x2)2x.sin(x2)2sin(x)2x.cos(x)2x.cos(x2)

Question 27(x − 1)(x4 + 1)(x2 + 1)(x + 1) =x8 + 1x8 + x6 + x4 +

Question 28If x2 - 3x + 1 = 0, what is the value of …x2 + (1/x)2 ?

Question 29The expression 3 @ 7 → 4 is a short way of writing

Question 30Consider the triangle of numbers below :X and Y equal:10 and

Слайды презентации

Слайд 2 SET or SAT?
SET – Subject Entrance Tests for

SET or SAT?SET – Subject Entrance Tests for Nazarbayev University or

Nazarbayev University or UCL (London) foundation year

SAT – Entrance

Tests for American Universities (slightly different format and content)

Слайд 3 Admissions Criteria for NU
The requirements for admission to

Admissions Criteria for NUThe requirements for admission to the University of

the University of Nazarbayev are the following (listed in

priority order):

English Proficiency Test and average academic score of 4.0+ for last two terms
Good results in SET – Subject Entrance Tests;
Official certificates of IELTS/ TOEFL with at least minimum admission score (5.5 – 7.5 depending on course)

Слайд 4 Subject Entrance Tests
An applicant must take two Subject

Subject Entrance TestsAn applicant must take two Subject Entrance Tests (SET)

Entrance Tests (SET) written in English.
SET is multiple

choice test of 30 questions which the applicant either passes or fails.
The applicant must receive an average of 50% or over in both subject tests and no less than 43% in a single subject test (i.e. 13 points of 30).

Слайд 5 Which Test?
School of Engineering – Maths and Physics

Which Test?School of Engineering – Maths and Physics School of Natural

School of Natural Sciences (one of the following pair):

Chemistry and Biology
Maths and Physics
Pre-medical preparation – Chemistry and Biology
School of Social Sciences – Maths and Critical Thinking

Слайд 6 Subject Entrance Tests - Rules
Applicants must complete the

Subject Entrance Tests - RulesApplicants must complete the tests without help

tests without help from any other person.
Applicants can

use a dictionary to help them understand the questions, but MUST NOT use any maths or science textbooks or websites to help complete the test.
The tests take one hour each.

Слайд 7 Taking the Subject Entrance Tests
The tests will

Taking the Subject Entrance Tests The tests will be administered in

be administered in March. Students must register for the

tests by 30th January.
Applicants who do not take the test under NU supervision may be re-tested when they start university.
There is no opportunity to re-take the tests in the same academic year if the applicant does not reach the required standard.

Слайд 8 The Mathematics Test
There are 30 questions.
The

The Mathematics Test There are 30 questions. The questions are multiple-choice.Applicants

questions are multiple-choice.
Applicants should answer as many questions as

possible. It is not necessarily expected that they will be able to answer ALL the questions.
Calculators should not be used.

Слайд 9 The Mathematics Test
60 minutes is the maximum time

The Mathematics Test60 minutes is the maximum time allowed.Questions are written

allowed.
Questions are written using standard English mathematical notation.
Questions are

on a range of topics based on the British Grade 10 and 11 mathematics curriculum
Questions are designed to test mathematical understanding and thinking as well as methods and knowledge.

Слайд 10 Issues
Students need to be familiar with the notation

IssuesStudents need to be familiar with the notation used in the

used in the test
There is only one sample test

available
There are no specific SET text books or practice materials – however ...
I have been developing a program of study, collection of resources and practice tests to share with staff for the future

Слайд 11 Notation
Decimals
Multiplication
Division
Coordinates
Trigonometry

… and …

Слайд 12 Question 1
On a journey a certain weight of

Question 1On a journey a certain weight of luggage is carried

luggage is carried free, but there is a charge

of $5 per kilogram for any additional luggage above this weight. Laa-laa’s luggage, which weighs a total of 70kg, is overweight and she is charged $200. If Po’s luggage weighs a total of 45kg, what will she have to pay ?

Слайд 13 Question 2
In the diagram PQ = PR, ∠QMP

Question 2In the diagram PQ = PR, ∠QMP = 80° and

= 80° and ∠QPM = 30°. What is ∠RPM

Слайд 14 Question 3
What is the value of 21 x

101 – 21 – 101 ?

Слайд 15 Question 4
In the diagram below how many different

Question 4In the diagram below how many different routes are there

routes are there from S to T which do

not go through either of the points U and V more than once ?

Слайд 16 Question 5
What is the sum of all the

first 20 even numbers ?

Слайд 17 Question 6

Equals…

Слайд 18 Question 7
Mary’s height increased by 20% between her

Question 7Mary’s height increased by 20% between her 5th birthday and

5th birthday and her 10th birthday. It increased by

15% between her 10th birthday and her 15th birthday, and it increased by 10% between her 15th birthday and her 20th birthday. By how much did her height increase between her 5th birthday and her 20th birthday?

Слайд 19 Question 8
(1550 + 1551 + 1552 + ....

Question 8(1550 + 1551 + 1552 + .... + 1648 +

+ 1648 + 1649) – (150 + 151 +

152 + .... + 248 + 249) =

Слайд 20 Question 9
A rectangular sheet of paper with sides

Question 9A rectangular sheet of paper with sides 1 and 2

1 and 2 has been folded once as shown,

so that one corner just meets the opposite long edge. What is the value of the length d ?

Слайд 21 Question 10
When exactly is the value of the

Question 10When exactly is the value of the value of the

value of the product

(1 + 1/2)(1 + 1/3)(1 + 1/4)....(1 + 1/n) equal to an integer?

Слайд 22 Question 11
The diagram shows a trapezium ABCD, whose

Question 11The diagram shows a trapezium ABCD, whose base length CD

base length CD is twice the top length AB.

If CD is twice CE, what fraction does the area of the triangle take of the area of the trapezium?

Слайд 23 Question 12
In a right angled triangle the longest

Question 12 In a right angled triangle the longest side has length

side has length 13cm, and one of the shorter

sides has length 7cm. Which of the following approximations is closest to the length of the remaining side ?
10 cm
10.5 cm
11 cm
11.5 cm
12 cm

Слайд 24 Question 13
ABCD is a trapezium. The length of

Question 13 ABCD is a trapezium. The length of CE is ¼

CE is ¼ the length of CD, and FD

= CE. If the area of each triangle is 1 cm2 what is the area of the trapezium ?

Слайд 25 Question 14
In the diagram PQ = PR =

RS. What is the size of angle x?

Слайд 26 Question 15
Ima Divvy used her calculator and divided

Question 15Ima Divvy used her calculator and divided a number by

a number by 40 instead of 8. What should

she do now to obtain the correct answer ?
Divide by 40
Divide by 8
Multiply by 5
Multiply by 320
Divide by 5

Слайд 27 Question 16
A pencil AB lying on a table

Question 16 A pencil AB lying on a table is given a

is given a half turn about the end B

(so that A moves to A') and then a half-turn about A' (so that B moves to B'), and finally a half-turn about B' (so that A' moves to C). The point D of the pencil is three-quarters of the way from A to B. What is the ratio of the total distance moved by A and D?

Слайд 28 Question 17
Which of these numbers is odd ?

14 +

1
34 + 2
54 + 3
74 + 5
114 + 7

Слайд 29 Question 18
The sum of six consecutive odd numbers

is 60. What is the smallest of the six

numbers ?

Слайд 30 Question 19
The integer part of a positive number

Question 19The integer part of a positive number is the part

is the part before the decimal point; The decimal

part of a positive number is the part after the decimal point. For example the integer part of 3.72 is ‘3’ and the decimal part is ‘0.72’. Which of the following numbers has a decimal part equal to exactly one-fifth of the integer part ?
2.5
3.6
4.6
5.8
6.2

Слайд 31 Question 20
If |x| < 0.5, (4 - 8x) -

Question 20If |x| < 0.5, (4 - 8x) - ½ =½ (1 +

½ =

½ (1 + x + 3x2/2 + ...)
½ (1

– x + 3x2/2 + ...)
½ (1 + x – 3x2/2 + ...)
2 (1 + x + 3x2/2 + ...)
½ (1 + x + 3x2/2)

Слайд 32 Question 21
For each real number x, let [x]

Question 21For each real number x, let [x] be the biggest

be the biggest integer which is less than or

equal to x. What can you say about the following three equations ?
(i) [p + 3] = [p] + 3 (ii) [p + q] = [p] + [q] (iii) [5p] = 5 [p]
all three equations are true for all real numbers p and q.
equations (i) and (iii) are true for all real number p.
the three equations are true only when p and q are integers.
equations (i) and (ii) are true for all real number p and q.
equations (ii) and (iii) are false for most values of p and q.

Слайд 33 Question 22
If y = xex then dy/dx =

xex
x +

ex
x + xex
ex + xex
None of these

Слайд 34 Question 23
If c is a constant, what is

-

24x2 + 36x3 + c
4x − 12x3 + 9x5 + c
4 − 4x2 +

9x4/4 + c
4x − 4x3 + 9x5/5 + c
None of these

Слайд 35 Question 24
Observe that 18 = 42 + 12 + 12 +

Question 24Observe that 18 = 42 + 12 + 12 + 02. How many

02. How many of the first fifteen positive integers

can be written as the sum of the squares of four integers ?

Слайд 36 Question 25
In the diagram below the smaller circle

Question 25In the diagram below the smaller circle touches the larger

touches the larger circle and goes through the centre

of the larger circle. What fraction of the area of the larger circle is outside the smaller circle ?

Слайд 37 Question 26
If y = sin(x2) then dy/dx =

cos(x2)
2x.sin(x2)
2sin(x)
2x.cos(x)
2x.cos(x2)

Слайд 38 Question 27
(x − 1)(x4 + 1)(x2 + 1)(x + 1)

Question 27(x − 1)(x4 + 1)(x2 + 1)(x + 1) =x8 + 1x8 + x6 +

=

x8 + 1
x8 + x6 + x4 + x2 + 1
x8 - 1
x8 + x7 + x6 +

x5 + x4 + x3 + x2 + x + 1
x8 - x6 + x4 - 1

Слайд 39 Question 28
If x2 - 3x + 1 = 0,

what is the value of …

x2 + (1/x)2 ?

Слайд 40 Question 29
The expression 3 @ 7 → 4 is a

Question 29The expression 3 @ 7 → 4 is a short way of

short way of writing the statement “it is possible

to fit a 3-sided polygon and a 7-sided polygon together (without overlap) to make a 4-sided polygon”. This statement is correct (as shown in the diagram below). Which of the following is a statement which is NOT correct ?

3 @ 5 → 4
3 @ 6 → 4
3 @ 8 → 4
4 @ 6 → 4
4 @ 8 → 4