Yearly Examination, 2010-2011

QUEEN’S COLLEGE

Yearly Examination, 2010-2011

Mathematics II

Secondary 1Date:16th June, 2011

Time:10:30 am – 11:30 am

1.Write down the information required in the spaces provided on the Answer Sheet.

2.When told to open this question paper, check that all the questions are there. Look for the words ‘END OF PAPER’ after the last question.

3.ANSWER ALL QUESTIONS. All the answers should be marked on the Answer Sheet.

4. You should mark only ONE answer for each question. Two or more answers will score NO MARKS.

1. All questions carry equal marks. No marks will be deducted for wrong answers.

1. This paper consists of 6 pages.

There are 40 questions in this paper.

The diagrams in this paper are not necessarily drawn to scale.

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1.Define ab. What is the value of 43 ?

A.-18

B.-22

C.-126

D.-130

2.If e is a natural number, then which of the following must be an even number.

A.

B.

C.

D.

3.Evaluate

A.2

B.

C.

D.

4.Which of the following(s) must be correct?

I.6.23% + 1.78% = 8%

II.6.23%  1.78% = 4.55 %

III.62% 20% = 12.4%

IV.62% 20% = 310%

A.III and IV

B.I and II

C.I and IV

D.II and III

5.If the radius of a circle is increased by 10%, the area of the circle will be increased by

A.10%

B.21%

C.110%

D.121%

6.Which of the following gives the best estimate?

A.

B.399 + 499 + 678 + 567

 300 + 400 + 600 + 500

= 1800

C.259.6  (29.3 – 3.88 – 7.52)

 200  (20 – 0 – 0)

= 10

D. 350  = 50

7.Mr. Prince deposits $8000 in a bank at a simple interest rate of 0.15% p.a. Find the amount that he will receive after 3 years

A.36

B.3600

C.11360

D.8036

8.Starting from the third term of the sequence 5, 1, 6, 7, 13, 20, 33, …, each term is the sum of the previous two terms. Find the sum of all even-ordered terms in the first 10 terms.

A.358

B.220

C.139

D.30

9.The following is the first four terms of the square sequence. Suppose you have 700 dots to form the largest possible square. Which term in the sequence is the square you produced?

A.The 24th term

B.The 26th term

C.The 175th term

D.The 350th term

10.Which of the following is true?

A.(abc) (abc) = 2(abc)

B.

C.

D.

11.Which of the following is NOT a condition for congruence of two triangles?

A.SAS

B.AAS

C.AAA

D.SSS

12.If ABCQPR, which of the following must be correct?

A.A=P

B.BC=QR

C.AB=BC=AC=QP=PR=QR

D.perimeter of ABC=perimeter of QPR

13.In the figure, △RTS〜△LNM. Find r, s and t.

rts

A.806832

B.328068

C.326880

D.803268

14.Given that △ABC△RQP, ∠A = 80 and ∠C = 40. Find∠Q.

A. 40

B.50

C.60

D.80

15.Which of the following figure does not always have reflectional symmetry?

A.Rhombuses

B.Parallelograms

C.Rectangles

D.Isosceles triangles

16.The point A(6 , 17) is rotated about the origin through 180° to point B. The coordinates of point B are

A.(–6 , –17).

B.(–6 , 17).

C.(6 , –17).

D.(17 , –6).

17.The letter “V” is reflected to image A along L2 and image A is then reflected along L0 to image B. Image B is finally reflected along L1. Which of the following figure is the final image?

A.

B.

C.

D.

18.Describe the way of translating ABC to A'B'C'.

A.Move 5 units to the right

B.Move 5 units to the left

C.Move 5 units to the left and then 5 units downwards

D.Move 5 units to the right and then 5 units upwards

19.The point A(5 , –10) is translated 6 units upward and 3 units to the left, then rotated anti-clockwise about the originthrough to point B( , -2). Find .

A.

B.

C.

D.

20.The distance between R(h,k+3) and S(h,k-2) is

A.2k +1

B.h

C.3

D.5

21.If the polar coordinate of P and Q are (5,80) and (10,30) respectively, then POQ=

A.110

B.80

C.50

D.30

22.Which three of the following points lie on the same straight line through origin in a polar coordinate plane?

P(a,b), Q(a , b+30),

R(a+3 , b+180), S(a , b+60),

T(a+3 , b+210), U(a+3 , b+30).

A.P, Q, S

B.R, T, U.

C.P, R, T.

D.Q, T, U.

23.P(1,6) , Q (1,3) and R(4,3) are the vertices of a triangle. What kind of triangle will they form?

I.equilateral triangle

II.right-angled triangle

III.isosceles triangle

A.Ionly

B.II only

C.III only

D.II and III only

24.Which of the following(s) about an isosceles triangle must be true?

I.Two sides equal

II.Two angles equal

III.The vertical angle must be the greatest.

A.Ionly

B.I and II only

C.II and III only

D.I, II and III

25.Which of the following is/are not true?

I.Sum of two acute angles may be a reflex angle.

II.A triangle cannot have two obtuse angles.

III.An obtuse angle is greater than a right angle.

A.Ionly

B.I and II only

C.II and III only

D.I, II and III

26.In the figure, ABC is a triangle. If ABC =ACB =BAC, find the unknown in the figure.

A.

B.

C.

D.cannot be

determined

27.Find x.

A.

B.

C.

D.cannot be

determined

28.In the figure, PQ // RS. Find PRS.

A. 136

B.132

C.128

D.124

29.In the figure, which of the following pairs of straight lines are parallel to each other?

A.l1 and l2

B.l2 and l3

C.l3 and l4

D.l4 and l1

30.In the figure, ECB is a straight line. Express x in terms of y and z.

A.x = y + z

B.x = 295° + y + z

C.x = 295°yz

D.x = 245°yz

31.Find the constant term in the simplified result of

A.-20

B.18

C.7

D.3

32.The numbers of faces, edges and vertices
of the 3-D figure shown on the right are

33.The figure shows a rectangular paper of dimensions 18 cm 12 cm. If a square of sides 3 cmis cut from each corner and then fold to form a rectangular container, find the volume of the container.

A.216 cm3

B.432 cm3

C.540 cm3

D.648 cm3

34.In the figure, ABCDandEFGHare parallelograms. Ifh = 9, w = 6, x = 5, y = 3 andz = 2, find the area of the shaded region.

A.96 cm2

B.99 cm2

C.85cm2

D.93cm2

35.A cup contains 66cm3 of water.

If34000 mm3of water is poured into it, find the volume of water in the cup.

A.10 000 mm3

B.40 600 mm3

C.100 000 mm3

D.1 000 cm3

36.In the figure,a= 6 cm andb= 9 cm. Find the area of the shaded region.

A.10.25 cm2

B.9.75 cm2

C.11.25cm2

D.9.25cm2

37.To investigate the relationship between the number of family members and the size of the flat of each family. Which of the following statistical graph is most suitable?

A.Stem-and-leaf diagram

B.Scatter diagram

C.Broken-line graph

D.Pie chart

38.The stem-and-leaf diagram shows the examination marks of 36 students in S. 1E.

If the passing mark of the examination is 60, what percentage of the students failed the examination?

A.12%

B.

C.25%

D.75%

39. The pie chart shows the distribution of favourite extracurricular activities of students. If there are 720 students, how many of them like playing basketball?

A.240

B.156

C.144

D.108

40.According to the bar chart, find the difference of study time between Tuesday andFriday?

A.30 minutes

B.100 minutes

C.130 minutes

D.370 minutes

~~~ END OF PAPER ~~~

QUEEN’S COLLEGE

Yearly Examination, 2010-2011

Secondary 1

Mathematics II

Answer key

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