EKC Hallam Q2 solved

Solution, sum each column to a square. Answer c

EKC Hallam Triplet Sequence

Is it the first term times 16 minus the last? Cf Quora

That would suggest the answer is -44, and so e.
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Seth Wax suggested this better answer

The second number in each triple is the sum of the cubes of the first and the third.

43+13=64+1=65$4^3+1^3=64+1=65$

23+33=8+27=35$2^3+3^3=8+27=35$

(−3)3+43=−27+64=37

Answer is C

Arrangements with Mr Mak

Q In how many ways can 4 boys and three girls be arrange in a straight line, If there are 8 boys and five girls to choose from?


AM 8C4 = 70 ways of choosing the boys5C3 = 10 ways of choosing the girls
Then 7! = 5040 ways of arranging the chosen boys and girls

Giving a total of 70 x 10 x 5040 = 3528000 ways.

Me I thought that and didn’t feel confident about the answer .. would there be limit beneath the seven factorial for genericboys or girls being in similar position?

AM No, only if they're identical boys / identical girls. If unconvinced, treat the boys as B1, B2, B3, B4, and the girls as G1, G2 and G3 to see that you are arranging 7 unique elements.

Resolving forces with Mr Mak Q 11 Spec Math

Question 11
A string is connected to two points A and D in a horizontal line and masses of 12kg and W kg are attached at points B and C. If AB, BC and CD make angles of 40°, 20°, and 50° respectively with the horizontal, calculate the tensions in the string and the value of W.

 I think they use kg Wt in the textbook, which means you don’t have to use g (gravity).