Area of Triangle X = 1/2 * base * height = 18cm2 Base * Height = 36cm2 BA/CQ/AS/DS = 6cm (6 * 6 = 36) AP/BP/CR/DR = 10cm - 6cm = 4cm Total Area of Triangles ABP & CDR = (1/2 * 4 * 4) * 2 = 8 * 2 = 16cm2 Triangle X = Triangle ADS Total Area of Triangles X & ADS = 18 * 2 = 36cm2 Area of Square PQRS = 10 * 10 = 100cm2 Area of Rectangle ABCD = 100cm2 - 16cm2 - 36cm2 = 48cm2 Answer: 48cm2

Since p4 hasn't taught the area of triangle formula yet

Total area of Triangles Y & Z = (1/2 * base * height) * 2 = 16cm2 Base * Height = 16cm2 BE/BF/DG/DH = 4cm (4 * 4 = 16) AE = 25cm - 4cm = 21cm Total Area of Triangles AEH & CFG = (1/2 * 21 * 21) * 2 = 21 * 21 = 441cm2 Area of Square ABCD = 25 * 25 = 625cm2 Area of Rectangle EFGH = 625cm2 - 441cm2 - 16cm2 = 168cm2 Answer: 168cm2

21 * 21 = 441 ^^

Oops sorry for miscalculation. Didn't use calculator

For first cruise Female 100 units Male 100 units + 150 For second cruise Female 85 units (15% drop) Male 130 units + 195 (130% of 100 units + 150) 85 units + 130 units + 195 = 1270 215 units = 1075 1 unit = 5 The number of adults on the second cruise that is more than the first = 15 units + 45 = 75 + 45 = 120 The amount collected on the second cruise which is more than that collected on the first = 120 × $85.50 = $ 10 260

Thank you..

You are most welcome. Regards

2/3 was used in 12 days. Hence 14 days will used up 28/36. Therefore, remaining 8u = 200ml, u = 25. Amount of syrup at first = 900ml.

mr Yeo See Yeong are you a maths genius lol

Haha. I wish. I am just trying very hard to practise all the problems given.

haha

Another solution contributed by Xavier Sng. 2/3 used up in 12 days. Full bottle will be gone in 18 days. Last 4 days is left with 200ml. Hence 18 days (full bottle) = 200/4 * 18 = 900ml.

Since the smaller number is a factor of the bigger number, all the factors of the smaller number are factors of the bigger number. Hence, Number of factors of the smaller number = Number of common factors = 6

Thank you!

Given 3 of the common factors, 1, 2, and 9, we can only find the smaller number by guess and check and logical thinking. Obviously, the smallest possible number is 1 x 9 = 9. But 9 is not a multiple of 2. This means that the smaller number can only be 2 x 9 = 18. Factors of 18 = 1, 2, 3, 6, 9, 18

Hence, the bigger number is 18 x 5 = 90

Given that there are three pairs of factors of which 1,2 and 9 are three of them. Since 9 is a factor, so is 3 since 9 = 3×3. Since the smaller (and also the larger) number is even (2 is after all a factor), the number must be 2×9 = 18 (since 1×9 and 3×9 yield odd numbers), which is also the fifth factor. The remaining factor is 18÷3=6. The larger number is 5×18 = 90

Thank you all of you!