SPM 2018 Add Maths Paper 2, Question 11Linear Law

Solved on video in English and Bahasa Melayu · 10 marks · Form 4, Linear Law · 8:54 video

The question

Table 1 shows the values of two variables, x and y, obtained from an experiment. A straight line will be obtained when a graph of y²/x against 1/x is plotted. (a) Based on Table 1, construct a table for the values of 1/x and y²/x. (b) Plot y²/x against 1/x, using a scale of 2 cm to 0.1 unit on the 1/x-axis and 2 cm to 2 units on the y²/x-axis. Hence, draw the line of best fit. (c) Using the graph in 11(b), (i) find the value of y when x = 2.7, (ii) express y in terms of x.

[10 marks]

SPM 2018 Add Maths Paper 2, Question 11: the question as drawn in Eduly's video8:54

Step 1

Compute 1/x for each x: 1/1.25 = 0.80, 1/1.43 = 0.70, 1/2.00 = 0.50, 1/2.50 = 0.40, 1/4.00 = 0.25, 1/5.00 = 0.20.

6 more steps, each with the reason for it, in the full solution

Final answer

(a) table shown; (b) y²/x = 25(1/x) − 4; (c)(i) y ≈ 3.77; (c)(ii) y = √(25 − 4x)

Where students lose marks

Watch out: in (c)(ii), take the square root, so y = √(25 − 4x), not y = 25 − 4x.

Watch every step of this question solved on video (8:54), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.

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