Page 13 - 1202 Question Bank Additional Mathematics Form 4

(a) Plot a suitable straight line graph that relates (a) Plot y against AB x . Hence, draw the line of
x and y. [6 marks] AB x
(b) From the graph in (a), determine the values of best fit. [5 marks]
p and q. [4 marks] (b) Use your graph in (a) to find the value of
(i) p, [2 marks]
(ii) q, [2 marks]
5. The table shows the values of two variables, x and (iii) y if x = 3.61. [1 mark]
SPM y, obtained from an experiment. It is known that
CLONE
the variables x and y are related by the equation
2
y = (q + 1)p where p and q are constants. 9. The table shows the experimental values of two
x
variables, x and y. One of the values of y is wrongly
x 1 1.5 2 2.5 3 3.5 recorded. It is known that the variables x and y are
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y 2.25 3.74 7.6 18.9 57.7 215.4 related by the equation 4a x = (y + b) where a and b
2
2
(a) Plot log y against x . Hence, draw the line of are constants.
2
10
best fit. [5 marks] x 1 2 3 4 5 6
(b) Use the graph in (a) to estimate the value of y 2 4.1 5.7 6 8.2 9.2
(i) p, (ii) q.
[5 marks] (a) Plot y against AB x. Hence, draw the line of best fit.
[6 marks]
6. The table shows the values of two variables, x and y, (b) From the graph in (a),
SPM obtained from an experiment. The variables x and y (i) identify the incorrect value of y and
CLONE
are related by the equation y = ax b – 1 where a and b are determine its correct value, [2 marks]
constants. (ii) find the values of a and b. [2 marks]
x 1 2 3 4 5 6
y 100 25 11.1 6.3 4 2.8 10. The table shows the values of two variables, x and y,
SPM obtained from an experiment. The variables x and y
(a) Plot log y against log x. Hence, draw the line CLONE y
10
10
of best fit. [6 marks] are related by the equation a + x = 3bx where a and b
(b) Use your graph in (a) to find the value of are constants. HOTS Analysing
(i) a, (ii) b. x 1 2 3 4 5
[4 marks]
y 3 0 –9 –24 –45
7. The table shows the values of two variables, x and y, (a) Convert the equation y = 3bx into the linear
SPM obtained from an experiment. The variables x and y a + x
CLONE form Y = mX + c. Hence, draw the line of best fit.
are related by the equation y = hk 2x – 1 where h and k
are constants. [6 marks]
(b) From your graph in (a), find the values of a and b.
x 1 2 3 4 5 6 [4 marks]
y 0.24 0.35 0.5 0.72 1.03 1.49

(a) Plot log y against (2x – 1). Hence, draw the line 11. The table shows the experimental values of two
10
of best fit. variables, x and y. It is known that the variables x and
[6 marks] y are related by the equation px y = q where p and q
2
(b) Use your graph in (a) to find the value of are constants.
(i) h, (ii) k.
[4 marks] x 0.2 0.3 0.4 0.5 0.6
y 8.3 3.7 2.1 1.3 0.93
8. The table shows the values of two variables, x and (a) Reduce the equation px y = q to the linear form
2
SPM y, obtained from an experiment. It is known that
CLONE Y = mX + c. Hence, draw the line of best fit.
the variables x and y are related by the equation [6 marks]
y = pAB x + qx where p and q are constants. (b) Use your graph in (a) to find
q
x 1 2 3 4 5 6 (i) the value of , [2 marks]
p
y –1 –0.24 0.8 2 3.3 4.65 (ii) the value of q if p = 6. [2 marks]
54 Question 10: 55
SOS TIP 5454 Given a + x y = 3bx(a + x) 2 55 SOS TIP
y
= 3bx
Then
y = 3abx +3bx

Divide both sides by x and continue from there.

06_1202 QB AMath F4.indd 55 09/05/2022 11:33 AM