Question 1) Evaluate without using trigonometric table: cos 75o/sin 15o + sin 12o/cos 78o – cos 18o/sin 72o (Marks 2)Question 2) Evaluate (sec2A – 1)(1 – cosec2A ) (Marks 2)Question 3) If tan A = b/a where a and b are real numbers, find the value of sin2 A (Marks 2)Question 4) A cricketer has mean score of 58 runs in nine innings. Find out how many runs are to be scored in the tenth innings to raise the mean score to 61. (Marks 2)Question 5) Find the mean of the following data: 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 If in the data, the observation 92 is replaced by 19, determine the new median. (Marks 2) click for answerQuestion 6) Harshad purchased a motorcycle for Rs. 42,952 which includes the amount of sales tax. If the tax charged is 12% of the list price, find the list price of the motorcycle. (Marks 2)Question 7) The circumference of the edge of a hemispherical bowl is 132 cm. Find the capacity of the bowl ( Π= 22/7) (Marks 2)Question 8) Find the value of c for which the quadratic equation 4×2 – 2(c + 1)x + (c + 4) = 0 has equal roots. (Marks 2)Question 9) The ages of two girls are in the ratio 5 : 7. Eight years ago their ages were in the ratio 7 : 13. Find their present ages. (Marks 2)Question 10) Find the value of k for which the system of equation 8x + 5y = 9, kx + 10y = 15 has no solution. (Marks 2)Question 11) Find the G.C.D. of 24(4x2 – 9) and 18(2x2 + 5x – 12) (Marks 2)Question 12) Flow chart. Deleted from the syllabus. (Marks 2)Question 13) In figure ABCD is a cyclic quadrilateral. AE is drawn parallel to CD and BA is produced. If ABC = 92o, FAE = 20o, find BCD. (Marks 2) No answer Question 14) Determine the length of an altitude of an equilateral triangle of side 2a cm. (Marks 2)Question 15) In the figure, a circle touches all the four sides of a quadrilateral ABCD where sides AB = 6 cm, BC = 7 cm and CD = 4 cm. Find AD. (Marks 2) sorry, no answer for this as I do not have diagram for this question> ANSWERS Answer1) cos 75o/sin 15o + sin...
...= x + 1 is a tangent to the curve y2= 4x ,find the point the of contact ?
2. Find the point on the curve y = 2x2– 6x – 4 at which the tangent is parallel to the x – axis
3. Find the slope of tangent for y = tan x + sec x at x = π/4
4. Show that the function f(x) == x3– 6x2 +12x 99 is increasing for all x.
5. Find the maximum and minimum values, if any of
6. For the curve y = 3x² + 4x, find the slope of the tangent to the curve at the point x = 2.
7. Find a point on the curve y = x2– 4x 32 at which tangent is parallel to xaxis.
8. Find a, for which f(x) = a(x+sinx)+a is increasing .
9. The side of a square is increasing at 4 cm/minute. At what rate is the area increasing when the side is 8 cm long?
10. Find the point on the curve y =x27x+12, where the tangent is parallel to xaxis.
11. Find the intevals in which the function f(x) = 2log(x2)  x2 + 4x + 1is increasing or decreasing.
12. Find the intervals in which the function f ( x ) = x3  6x2 + 9x + 15 is
(i) increasing
(ii) decreasing.
13. Find the equation of the tangent line to the curve x = θ + sinθ, y = 1+cosθ a=π/4
14. Prove that is increasing in [o, π/2]
15. Prove that curves y² = 4ax and xy = c² cut at right angles If c4 = 32 a4
16. A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi vertical angle is . Water is poured into it at a constant rate of 5 cubic meter per...
...Term 1  Summative Assessment
MathematicsQuestionPaper Set  1
Time: 3 to 3 ½ hours
Max. Marks: 80
All questions are compulsory.
The questionspaper consists of 34 questions divided into four sections A, B, C and D. Section A comprises of 10questions of 1 mark each, Section B comprises of 8 questions of 2 marks each, Section C comprises of10questions of 3 marks each and Section D comprises of 6 questions of 4 marks each.
Question numbers 1 to 10 in section A are multiple choice questions where you have to select one correct option out of the given four.
Section A
Section B
Section C
Section D
Term 1  Summative Assessment
MathematicsQuestionPaper Set  2
Time: 3 to 3 ½ hours
Max. Marks: 80
1. All questions are compulsory.
2. The questionspaper consists of 34 questions divided into four sections A, B, C and D. Section A comprises of 10questions of 1 mark each, Section B comprises of 8 questions of 2 marks each, Section C comprises of 10questions of 3 marks each and Section D comprises of 6 questions of 4 marks each.
3....
...TEST CODE
OI234O2O
FORM TP 2009092
SECONDARY EDUCATION CERTIF'ICATE
MAY/JUNE2OO9
CARIBBEAN EXAMINATIONS COUNCIL
EXAMINATION MATHEMATICSPaper 02  General Proficiency
2 hours 40 minutes 20 MAY 2009 (a.m.)
INSTRUCTIONS TO CANDIDATES
1. 2. 3. 4.
Answer ALL questions in Section I, and ANY TWO in Section IL
'Write
your answers in the booklet provided.
All working must be shown clearly.
A list of formulae is provided on page 2 of this booklet.
Examination Materials
N
Electronic calculator (nonprogrammable) Geometry set Mathematical tables Graph paper (provided)
I I
I I I I
DO NOT TURN TIIIS PAGE TINTIL YOU ARE TOLD TO DO SO.
Copyright @ 2OO7 Caribbean Examinations Council@. All riehts reserved.

01234020tF 2009
Page2
LIST OF FORMULAE
Volume of a prism
V = Ah where A is the
length.
V
area of a crosssection and å is the perpendicular
Volume of cylinder Volume of a right pyramid Circumference Area of a circle Area of trapezium
=n/hwhere r is fhe radius of the base
ancl l¿ is the perpendicular height.
y = elrwhereA is the area of the base and /¿ is the perpendicular !
C =2nr where r is the radius of the circle.
height'
A
= nf
where r is the radius af the circle.
¡ = ){n
+ b)
lz
where a anú b are the iengtirs of the parailel sides and
l¿
is
the perpendicular distance between the parallel sides.
Roots of...
...)
Short Answer
1. For a calculus quiz, the teacher will choose 11 questions from the 15 in a set of review exercises. How many different sets of questions could the teacher choose? K6
2. All 16 people at a function shake hands with everyone else at the function. Use combinations to find the total number of handshakes. T 6
3. How many different sums of money can you make with three pennies, a nickel, a dime, and two quarters?K5
4. How many different sums of money can you make with four pennies, two nickels, and six quarters? A6
5. Susan’s company has just won an important new contract. She will have to assign a project team of at least 4 of her 11 staff members to this contract in order to complete it on time. If no more than 5 staff members can be spared from other work, how many different project teams could Susan form for the new contract? T8
6. A new theme park will have five roller coasters, six water rides, and eight suspension rides. How many different combinations of rides could you try at this park? K7
7. Write the first three terms of the expansion of (2x – y)7. C 5
8. Expand (x + 3y)5. K 6
Problem
9. There are 10 councillors and 12 planning department staff available to serve on a budget committee for the new city council. If the committee will consist of 3 councillors and either 1 or 2 planning staff, how many different committees could the council choose? A 5...
...Collin Doyle
Mrs. Perino
Math 48A.01
11 January 2013
Homework 1.2: P. 1921 #’s 2324, 6667, 70, 73, 74ab, 76
23) Problem: Explain how to determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line.
Solution: a. Parenthesis: indicate a range of values, open interval, I think of parenthesis as being the parent that is more open to given their child toys and bending the rules.
b. Brackets: has limits between two numbers, closed interval, I think of brackets as the stern parent who enforces the rules to the highest degree.
24) Problem: The threepart inequality a < x < b means “a is less than x, and x is less than b.” Which one of the following inequalities is not satisfied by some real number x?
A. 3 < x < 5 B. 0 < x < 4
C. 3 < x < 2 D. 7 < x < 10
Solution: D, because 10 is less than 7 and x is greater than 7 which also means that x is also greater than 10.
66) Problem: If f(3) = 9.7, identify a point on the graph of f.
Solution: (3,9.7), f(3) is f(x) which means that 3 is the xvalue and 9.7 is the yvalue.
67) Problem: If the point (7,8) lies on the graph of f, then f(___) = ____.
Solution: f(7) = 8, this problem is the reverse of the problem before, you plug in the xvalue (7) into x in f(x) and then plug in the yvalue (8) in for the y.
70) Problem: Use the graph of...
...
SAMPLE PAPER  2008
Class  X
SUBJECT – MATHEMATICS
Time: 3 hrs Marks: 80
General Instructions:
( I ) All questions are compulsory.
( ii ) The questionpaper consists of 30 questions divided into four sections –A, B, C
and D. Section A contains 10questions of 1 mark each, Section B is of 5
questions of 2 marks each, Section C is of 10questions of 3 marks each and
section D is of 5 questions of 6 marks each.
. ( iii ) There is no overall choice. However, an internal choice has been provided in
one question of two marks each, three questions of three marks each and two
questions of six marks each.
( iv ) In question on construction, the drawing should be neat and exactly as per
the given measurements.
( v ) Use of calculator is not permitted.
SECTION A
( Qns 1 – 10 carry 1 mark each )
1. If HCF ( a, b ) = 12 and a x b = 1800. Find LCM ( a, b ).
2. Find the zeros of the quadratic polynomial from the graph.
Y
4
3
2
1...
...AL BADR SCHOOL
PRELIUM EXAMINATION
TIME: 3 HOURS COMPUTER STUDIES CLASS: XGENERAL
Max. Marks: 75
IMPORTANT INSTRUCTIONS: This paper of Computer Studies (Theory) Elective Classx consists of two separate questionpapers, the first paper (section ‘A’) consists of only M.C.Qs. This paper of 30 minutes duration will be given to the candidates first of all collected bask as soon time over. Then the candidates will be given the next paper 2 ½ hours comprising shortanswer questions (section ‘B’) and detailed answer questions (section ‘C’).
SECTION ‘A’: It consists of 15 Multiple Choice Questions (MCQs), all are to be answered.
SECTOIN ‘B’: It consists of 15 ShortAnswer Questions out of which 12 are to be answered.
SECTION ‘C’: It consists of 3 DetailedAnswer Questions out of which only 2 questions are to be answered.
SECTION ‘A’
Q.1: Choose the correct answer for each from the given options: (Marks: 15)
(i) A program written in high level language is called ____________
(a) Hard Program (b) System program (c) Correct Program (d) Source Program
(ii) __________ is the characteristic of monitor that effects on the sharpness of an image.
(a) Net pitch (b) Path pitch (c) Dot pitch...
...KENDRIYA VIDYALAYA SANGATHAN  ERNAKULAM REGION
SUMMATIVE ASSESSMENT2(Sample questionpaper)
CLASS X
SOCIAL SCIENCE
TIME: 3Hrs
MARKS: 90
General Instructions:
1. The questionpaper has 30 questions in all. All the questions are compulsory.
2. Marks are indicated against each question.
3. Questions from serial number 1 to 9 are multiple choicequestions. Each question
carries 1 mark.
4. Questions from serial number 10 to 21 are 3 mark questions. Answer of these questions
should not exceed 80 words each.
5. Questions from serial number 22 to 29 are 5 marks questions. Answer of these questions
should not exceed 120 words each.
6. Question number 30 is a map question of 5 marks.
1. Who said, ‘If France sneezes rest of the Europe catches cold’?
a) Metternich
b) Cavour
c) Mazzini
1
d) Garibaldi
OR
Who was Confucious?
a) A Chinese revolutionary
b) A Chinese Philosopher
c) An Italian revolutionary
d) A Vietnamese revolutionary
2. When was Complete independence or Poorna swaraj declared as the aim of the
Congress?
a)
1909
1
b) 1929
c) 1936
d) 1919
3. Which one of the following States is the largest producer of bauxite in India?
a)...