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Secondary 1 | Maths
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Ethan
Ethan

Secondary 1 chevron_right Maths chevron_right Singapore

Is my Qn 3 & 4 correct? Thanks

Date Posted: 3 years ago
Views: 184
J
J
3 years ago
3 is wrong.

You only multiply the 4 once, not twice.
This is not distributive law
i.e it is not 4(-2 + 3) = 4(-2) + 4(3)
J
J
3 years ago
x = √(5² - 4(-2×3))

= √(25 - 4(-6))

= √(25 - (-24)

= √(25 + 24)

= √49

= 7
J
J
3 years ago
Alternatively,

x = √(5² - 4(-2×3))

= √(25 - 4 × (-2) × 3)

= √(25 - (-8) × 3)

= √(25 - (-24))

= √(25 + 24)

= √49

= 7
Ethan
Ethan
3 years ago
When there r 2 variables xy or ac without any +-×÷ the default operator is × not + right??
Ethan
Ethan
3 years ago
Oh ok I got my mistake. I need to multiply inside brackets first. Sorry
Ethan
Ethan
3 years ago
Thank you! :))
J
J
3 years ago
Q4

Two mistakes :

①Andy only improved by 10 percentage points in Test 2 but his father misinterpreted's Test 2's result as twice of Test 1's because he saw that the area of the bar is twice of Test 1's.

② Besides, even if Andy's Test 2 score were indeed twice of Test 1's, it should be phrased as 'improved by one time' and not' by two times'. The increase/improvement is not two times of Test 1 score but only equal to it.
J
J
3 years ago
Yes.

ac or xy or gh or 5y or 9c , etc are all products (multiply)

you don't necessarily have to multiply inside the brackets first.

The second working for 4ac shows this :

4 × (-2) × 3

It can also be written as

4(-2)(3)
Ethan
Ethan
3 years ago
Oh ok understood. Thank you :)
J
J
3 years ago
How Andy can change his graph :

Instead of using a bar chart, Andy should use a line graph instead.

This avoids the misinterpretation of the diagram as an area-specific one since lines are taken to be 1 dimensional and have no thickness(which in turn means no area)

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Kimberly Ng
Kimberly Ng's answer
5 answers (Tutor Details)
1st
Qn3 you dont multiply 4 twice only once.
Ethan
Ethan
3 years ago
Thank you :))
J
J
3 years ago
Starting from 0 doesn't improve the chart reading much since his dad is already thinking in terms of area.

A 60% point vs 70% point bar would just lead his dad to think it is a improvement of 1/6 times but for such tests that are scored out of 100% we should be thinking in terms of % points instead.

I.e a 10% point improvement.


Thinking in terms of the number of times does not quite demonstrate improvement well.

Eg. If I score 3% points for test 1 and 30% points for test 2, I have improved by 9 times by this perspective, and that phrase '9 times' seems like a lot.

But actually, it is only a 27% point increase , which is rather insignificant since I still failed (assuming the passing mark is 50%)