topic2hard5a
8
PENANG FREE SCHOOL MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS DAVID CHNG YEANG SOON. Try the following Questions. The answers are provided at the end of the questions. Topic 2 Hard. Name: ……………………………………….. Class:………………….. 1. Two variables x and y are related by the equation y = AB x where A and B are constants. By plotting log 10 y against x, a line of best fit is obtained. The line passes through the points (4, 20) and (20, 4). Find the values of A and B. [5 marks] 2. Reduce the relation, y = pq -x , p and q are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis. Thus, determine the gradient and Y- intercept. [6 marks]
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Transcript of topic2hard5a
Paper 2 - Subjective
PENANG FREE SCHOOL
MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS
DAVID CHNG YEANG SOON.
Try the following Questions. The answers are provided at the end of the questions.
Topic 2 Hard.
Name: ..
Class:..
1.
[5 marks]
2.Reduce the relation, y = pq -x, p and q are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis.
Thus, determine the gradient and Y-intercept.
[6 marks]
3.Two variables x and y are related by the equation y = ABx where A and B are constants. By plotting log10 y against x, a line of best fit is obtained. The line passes through the points (7, 18) and (21, 32). Find the values of A and B.
[5 marks]
4.
The voltage, V, and the current, I, flowing through an electrical component are known to be linearly related. Some experimental values of the two variables are recorded as follow:
I (A)0.3
0.4
0.5
0.6
0.7
0.8
V (V)1.4
1.3
1.2
1.1
1.0
0.9
(a) Plot a graph of V against I.(b) Use your graph to find (i) the value of V when the current I = 0, (ii) the current of flowing through the electrical component when the voltage is
1.2 V.
[10 marks]
5.
The voltage, V, and the current, I, flowing through an electrical component are known to be linearly related. Some experimental values of the two variables are recorded as follow:
I (A)0.3
0.4
0.5
0.6
0.7
0.8
V (V)1.5
1.4
1.3
1.2
1.1
1.0
(a) Plot a graph of V against I.(b) Use your graph to find (i) the value of V when the current I = 0, (ii) the current of flowing through the electrical component when the voltage is
1.2 V.
[10 marks]
6.Reduce the relation, y = cd -x, c and d are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis.
Thus, determine the gradient and Y-intercept.
[6 marks]
7.Two variables x and y are related by the equation y = ABx where A and B are constants. By plotting log10 y against x, a line of best fit is obtained. The line passes through the points (7, 40) and (18, 18). Find the values of A and B.
[5 marks]
8.Two variables x and y are related by the equation y = ABx where A and B are constants. By plotting log10 y against x, a line of best fit is obtained. The line passes through the points (3, 11) and (18, 26). Find the values of A and B.
[5 marks]
9.Two variables x and y are related by the equation y = ABx where A and B are constants. By plotting log10 y against x, a line of best fit is obtained. The line passes through the points (4, 7) and (19, 22). Find the values of A and B.
[5 marks]
10.
The voltage, V, and the current, I, flowing through an electrical component are known to be linearly related. Some experimental values of the two variables are recorded as follow:
I (A)0.3
0.4
0.5
0.6
0.7
0.8
V (V)1.5
1.4
1.3
1.2
1.1
1.0
(a) Plot a graph of V against I.(b) Use your graph to find (i) the value of V when the current I = 0, (ii) the current of flowing through the electrical component when the voltage is
1.0 V.
[10 marks]
11.
The voltage, V, and the current, I, flowing through an electrical component are known to be linearly related. Some experimental values of the two variables are recorded as follow:
I (A)0.3
0.4
0.5
0.6
0.7
0.8
V (V)1.5
1.4
1.3
1.2
1.1
1.0
(a) Plot a graph of V against I.(b) Use your graph to find (i) the value of V when the current I = 0, (ii) the current of flowing through the electrical component when the voltage is
1.1 V.
[10 marks]
12.Reduce the relation, y = pq -x, p and q are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis.
Thus, determine the gradient and Y-intercept.
[6 marks]
13.
The voltage, V, and the current, I, flowing through an electrical component are known to be linearly related. Some experimental values of the two variables are recorded as follow:
I (A)0.3
0.4
0.5
0.6
0.7
0.8
V (V)1.6
1.5
1.4
1.3
1.2
1.1
(a) Plot a graph of V against I.(b) Use your graph to find (i) the value of V when the current I = 0, (ii) the current of flowing through the electrical component when the voltage is
1.0 V.
[10 marks]
14.Reduce the relation, y = cd -x, c and d are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis.
Thus, determine the gradient and Y-intercept.
[6 marks]
15.Reduce the relation, y = cd -x, c and d are constants, to the linear form of Y = mX + c. State the quantities to be plotted on the Y-axis and X-axis.
Thus, determine the gradient and Y-intercept.
[6 marks]
Answers:1. A = 1024 ; B = 10-12. log10 y, x;-log10 q, log10 p3. A = 1011 ; B = 1014. (a)(b) (i) 1.7(b) (ii) 0.5 A5. (a)(b) (i) 1.8(b) (ii) 0.6 A6. log10 y, x;-log10 d, log10 c7. A = 1054 ; B = 10-28. A = 108 ; B = 1019. A = 103 ; B = 10110. (a)(b) (i) 1.8(b) (ii) 0.8 A11. (a)(b) (i) 1.8(b) (ii) 0.7 A12. log10 y, x;-log10 q, log10 p13. (a)(b) (i) 1.9(b) (ii) 0.9 A14. log10 y, x;-log10 d, log10 c15. log10 y, x;-log10 d, log10 c
