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- 1. Multiple Choice
Which of the following are identities?
2x + 1 = 3x - 2
2x + 1 = 3x - x + 1
x2 - y2 = ( x - y ) ( x + y )
( x + y )2 = x2 + y2
- 2. Multiple Choice
If Ax2 + 3x + 1 ≡ Bx + 1 - 2x2 , then
A = - 2 and B = 3 .
A = 1 and B = 1 .
A = 2 and B = 1 .
A = 2 and B = 3 .
- 3. Multiple Choice
If x2 + (A+B)x + A ≡ x2 + x + 3 , then B =
3 .
- 2 .
1 .
- 1 .
- 4. Multiple Choice
(i) 3x + 6 = 3 ( x + 2 )
(ii) 3 ( x + 2 ) = 3x + 6
(i) is and (ii) is .
(i) factorization , (ii) expansion
(i) expansion , (ii) factorization
(i) expansion , (ii) expansion
(i) factorization , (ii) factorization
- 5. Multiple Choice
If x3 + 2x2 - x - 2 is factorized, the result is ( x - 1 ) ( x + 1 ) ( x + 2 ) .
If ( x - 1 ) ( x + 1 ) ( x + 2 ) is expanded, the result is
x3 + 2x2 - x - 2 .
呀 Sir 無教
中四才學
( x - 1 ) ( x + 1 ) ( x + 2 )
- 6. Multiple Choice
2 m + 6 mn =
2m ( 3 n ) .
2m ( 1 + 3 n ) .
2m ( 1 + 6 m n ) .
2m ( 1 + 4 n ) .
- 7. Multiple Choice
Factorize 6 a ( m + n ) - 12 b ( m + n ) .
6 ( m + n ) ( a - 2 b )
2 ( m + n ) ( 3 a - 6 b )
6 ( m + n )2 ( a - 2 b )
6 ( m + n ) ( a -6 b )
- 8. Multiple Choice
x ( a + b ) - a - b =
( a + b ) ( x - 1 ) .
( a - b ) ( x - 1 ) .
( a + b ) ( x + 1 ) .
( a - b ) ( x + 1 ) .
- 9. Multiple Choice
hk - 2 h - 2 + k =
( h + 1 ) ( k - 2 ) .
( h + 2 ) ( k - 1 ) .
( h - 2 ) ( k + 1 ) .
( h - 1 ) ( k + 2 ) .
- 10. Multiple Choice
m ( 2 a - b ) + n ( b - 2 a ) =
( 2 a - b ) ( m + n ) .
( 2 a - b ) ( m - n ) .
- 11. Multiple Choice
x2 - 4y2 =
( x - 2 y ) ( x + 2 y ) .
( x + 2 y ) ( x + 2 y ) .
( 2 x + y ) ( 2 x + y ) .
( 2 x - y ) ( 2 x + y ) .
- 12. Multiple Choice
x2 + 2xy + y2 =
( x + y )2
( x - y )2
( x + y ) ( x - y )
- 13. Multiple Choice
4 - ( x + y )2 =
( 4 - x + y ) ( 4 + x + y ) .
( 4 - x - y ) ( 4 + x + y ) .
( 2 - x - y ) ( 2 + x + y ) .
( 2 - x + y ) ( 2 + x + y ) .
- 14. Multiple Choice
9 - y2 =
( y - 3 ) ( y + 3 ) .
( 3 - y ) ( 3 + y ) .
( 3 - y )2 .
( 1 - 3 y ) ( 1 + 3 y ) .
- 15. Multiple Choice
x2 - x - 2 =
( x - 2 ) ( x + 1 ) .
( x + 2 ) ( x - 1 ) .
( 2 x + 1 ) ( x - 1 ) .
( 2 x - 1 ) ( x + 1 ) .
- 16. Multiple Choice
x2 + x y - 12 y2 =
( x - 3 y ) ( x + 4 y ) .
( x - 3 ) ( x + 4 ) .
( x - 2 y ) ( x + 6 y ) .
( x - 2 ) ( x + 6 ) .
- 17. Multiple Choice
- 18. Multiple Choice
- 19. Multiple Choice
- 20. Multiple Choice
Which of the following is the correct procedure to make the subject of the formula?
- 21. Multiple Choice
Solve the simultaneous equations
x + 2y = 1
x - 2 y = 7
x= 4 and y = -3/2
x= 3 and y = -1
x= 4 and y = 5/2
x= 2 and y = -1
- 22. Multiple Choice
Solve the simultaneous equations
y = 1 - 3x
y = 2x - 9
x = 2 and y = - 5
x = - 8 and y = 25
x = 10 and y = - 29
x = 4 and y = - 11
- 23. Multiple Choice
Which of the following figure shows the graph of y = x + 1 ?
- 24. Multiple Choice
Solve graphically 3x+2y=23 and 4x-5y=0 .
x = 5 and y = 4
x = 4 and y = 5
- 25. Multiple Choice
Solve graphically 2x+3y=15 and 3x+y=12 .
The approximate solution is (2.5 , 4.5) .
The approximate solution is (4.5 , 2.5) .
The exact solution is (2.5 , 4.5) .
- 26. Multiple Choice
Which of the following points lie on the straight line 2x - y = 3 ?
( 2 , 1 )
( -1 , -5 )
( 1 , 1 )
( 4 , 5 )
- 27. Multiple Choice
In the following situations, are the values mentioned exact or estimated?
(i) There are 80 staff in a company.
(ii) The area of an office is 3000 m2 .
(i) exact (ii) exact
(i) exact (ii) estimated
(i) estimated (ii) exact
(i)estimated (ii) estimated
- 28. Multiple Choice
Round off 3816 to the nearest hundred.
3800
38
3820
4000
- 29. Multiple Choice
Round down 124.8624 to 1 decimal place.
124.8
100
124.86
124.9
- 30. Multiple Choice
Round up 0.00376124 to 3 significant figures.
0.00377
0.004
0.003
0.00376
- 31. Multiple Choice
The length of a wire is measured as 15 cm , correct to the nearest cm . Find the range of the actual length of the wire.
14.5 cm ≤ length < 15.5 cm
14 cm ≤ length < 16 cm
14.5 cm < length ≤ 15.5 cm
0.5 cm
- 32. Multiple Choice
The weight of a car is 850 kg (correct to the nearest kg). Which of the following CANNOT be its actual weight?
850 kg
850.2 kg
850.7 kg
849.8 kg
- 33. Multiple Choice
The height of a building is 300 m (correct to the nearest m). Which of the following could be its actual height?
300.2 m
300.8 m
299 m
299.3 m
- 34. Multiple Choice
Determine whether each of the following data is discrete or continuous.
(i) The number of students of a school.
(ii) The total weight of the students of a school.
(i) discrete (ii) discrete
(i) discrete (ii) continuous
(i) continuous (ii) discrete
(i)continuous (ii) continuous
- 35. Multiple Choice
The University of Hong Kong is studying the safety of various brands of vaccines. Which of the following methods of collecting data is most appropriate?
Visit the company that produces the vaccine
Carry out experiment to test the safety of the vaccines.
Conduct a survey of the citizens have vaccination using questionnaires
To count how many citizens have vaccination
- 36. Multiple Choice
The pie chart shows the various expenditures of Kerry’s birthday part. The expenditure on decoration is $480 .
Find the expenditure on gift.
$1320
$980
$1180
$1460
- 37. Multiple Choice
80
90
100
120
- 38. Multiple Choice
20.5 s - 25.5 s
23 s - 28 s
20 s - 25 s
35.5 s - 40.5 s
- 39. Multiple Choice
40
50
60
80
- 40. Multiple Choice
54
67
60
58
- 41. Multiple Choice
x = 7 and y = 9
x = 16 and y = 25
x = 14 and y = 22
x = 18 and y = 26
- 42. Multiple Choice
x = 4 and y = 13
x = 10 and y = 27
x = 6 and y = 9
x = 8 and y = 12
- 43. Multiple Choice
Determine whether a rate or a ratio should be used to relate the quantities in each of the following statements.
(i) A machine produces 90 cans of soft drinks hourly.
(ii) The weights of different brand of soft drinks.
(i) rate (ii) rate
(i) rate (ii) ratio
(i) ratio (ii) rate
(i) ratio (ii) ratio
- 44. Multiple Choice
If x : 3 = x+1 : 5 , then x =
1 .
3/2 .
2 .
2/3 .
- 45. Multiple Choice
If a : b = 3 : 4 and b : c = 6 : 5 , then a : b : c =
9 : 12 : 10 .
18 : 24 : 20 .
3 : 12 : 5 .
- 46. Multiple Choice
If a : b : c = 3 : 2 : 4 and a + b + c = 108 , then a =
12 .
24 .
32 .
36 .
- 47. Multiple Choice
In the figure, x =
80o .
40o .
50o .
100o .
- 48. Multiple Choice
An interior angle of an equilateral triangle is
90o .
60o .
180o .
360o .
- 49. Multiple Choice
The sum of all interior angles of a n-sided polygon is
( n - 2 )180o .
( n - 2 )180o / n .
360o .
180o .
- 50. Multiple Choice
The sum of all exterior angles of a n-sided polygon is
360o .
180o .
( n - 2 )180o .
360o / n .
- 51. Multiple Choice
In the figure, x =
60o .
無得計喎。
30o .
45o .
- 52. Multiple Choice
In the figure, AB =
10.2 cm .
10.2 .
10.1 .
10.1 cm .
- 53. Multiple Choice
下列哪些是考試時記住做？
寫單位
畫圖用鉛筆
要用計數機
做文字題要有答句
- 54. Multiple Choice
若要計算AD，
首先要計 ΔBCD 和 ΔABD 的 common side。
首先要用量角器。
首先要借計數機。
- 55. Multiple Choice
In the figure, tan θ =
4/3 .
3/4 .
4/5 .
3/5 .
- 56. Multiple Choice
In the figure, cos θ =
5/13 .
5/12 .
12/13 .
12/5 .
- 57. Multiple Choice
3 cm .
27 cm .
12 cm .
21 cm .
- Answer choicesTagsAnswer choicesTags