### 6 AM Quiz: Factors & Multiples

Answers to QUIZ Word Problems #1 to #5

1. 14 tables in each row
• Use square root
2. 15625 cubes
• 1. Convert the lengths to common unit (i.e. cm)
• 2. Find the number of small cubes that can be lined up along the side.
• 150/6 = 25 cubes per side
• No. of cubes = 25^3 = 15625
3. 14352 cubes
• 1. Find HCF, hence the common factor of no. of cubes could be lined up along the sides.
• 2. Calculate the no. of cubes for each side by dividing the length by the 'length of the smaller cube'.
• 3. Hence the total number of cubes.
• HCF of 312, 184, 128 is 8
No. of cubes by the length = 39
No. of cubes by the breadth = 23
No. of cubes by the height = 16
Total no. of cubes = 14352
4. 64 m
• 1. Find area of the triangle
• 2. Using the area, find the length of square
• 3. Find perimeter
• Area of triangle = 256
Length of square = sqrt(256) = 16
Perimeter = 64
5. Date: 15 April 2011
• 1. Find LCM
• 2. Count from the day after 1 Jan 2011
• LCM of 8, 13 = 104Jan = 31-1 = 30 days (reason being both planes took off on 1 Jan, so we start counting from 2 Jan); Feb = 28 days; Mar = 31 daysTotal = 89 days (short of 15 days)