(b) Since angle ABK = 45 degrees (BK being the diagonal of a square), so is angle BCG. The reason is BK // CG, hence angle ABK and angle BCG are corresponding angles.

Thank you so much Raymond! : )

Hi Raymond, is there a easy way or rules to guide the kids to come out with the formula?

Divide all the numbers by 2: 3, 8, 15, 24 Which are 1x3, 2×4, 3×5, 4×6, ... See the pattern?

Thanks Raymond, i saw the pattern :) how about for other similar questions in future, is there a way to help the kids come out with the formula?

Is it just based on experience or trial n error?

Skills & techniques which can be trained. For my students, if they take more than 30sec to come up with the general term, I'll give them another question until they can do it within 30sec... ☺

Less than 3 hours

what are the options for this mcq qn?

My answer is 1 1/3 hrs.

In one hour, Taps A and B filled 1/4 of a tank Taps B and C filled 1/3 of a tank Taps A and C filled 1/6 of a tank With 2 Tap A's, 2 Tap B's and 2 Tap C's they filled up 1/4 + 1/3 + 1/6 = 9/12 or 3/4 tank in an hour. In other words the six taps will fill an empty tank in 4/3 of an hour or 1 1/3 h. With just one Tap A, one Tap B and one Tap C, the time taken to fill 1 empty tank would be twice of 1 1/3 h or 2 2/3 hours Hence 2 ÷ (1/4 + 1/3 + 1/6)

2hr 40mins.

I like xavier approach. I hv a whole messy page of simultaneous eqn and fractions, haha

Thank you Allan. The truth be told I have been there and done that too. We will learn and improve with time and practise :)

5a+8o=$16.25--->® 3a+9o= $16.25-$0.20=$16.05--->© ® x 3 © x 5 15a+24o= $16.25 x 3=$48.75 15a+45o=$16.05 x 5= $80.25 45o-24o= $80.25-$48.75 21o= $31.50 1 orange=$31.50/21= $1.50 Can continue from here..?

1 orange->$1.50 8 orange-> $12 5apples= $16.25-$12(8oranges) 5 apples=$4.25 1 apple= $0.85

Yup! Thanks Izam Marwasi for the steps to nstart the computation! Managed to get the answer now. Price difference is $0.65! 😃

but this belong Secondary algebra!

Sadly but true. .. this is P5 question! 😢

It is done in terms of grouping

To understand multiples

150 ml × 10 = 500 ml × 3 That is to meet the condition that the same amount of juice be bought for both Ng Ai and Stephanie. (a) Ng Ai would spent $20 on ten packets of juice, and since Ng Ai had only $30, ten packets would be the maximum number that Ng Ai could buy. (b) Stephanie could buy only three bottles.