1. To connect 6 dots so that each dot is joined to all the other dots, you need to draw lines between each pair of dots. This is a complete graph with 6 vertices. The number of edges in a complete graph with n vertices is given by the formula n(n-1)/2. For n=6, this is 6*5/2 = 15. So, you need 15 lines.
2. Jack sold 280 cups of tea. He sold 83 to women and 32 to men. The number sold to students is the total minus the number sold to women and men: 280 - 83 - 32 = 165. So, he sold 165 cups to students.
3. The first prime numbers are 2, 3, 5, 7, 11. The 9th prime number is 23. (The sequence of primes is 2, 3, 5, 7, 11, 13, 17, 19, 23, ...)
4. If Fima is 34 years off turning 98, then her current age is 98 - 34 = 64. So, she is 64 years old.
5. 160 people bought burgers. 50 of them were women and 37 were men. The number of children is the total minus the number of women and men: 160 - 50 - 37 = 73. So, 73 children bought burgers.
6. The number 160 has the prime factorization 160 = 2^5 * 5. The factors are all numbers of the form 2^a * 5^b where 0 ≤ a ≤ 5 and 0 ≤ b ≤ 1. The number of factors is (5+1)*(1+1) = 6*2 = 12. So, there are 12 factors.
Parent Tip: Review the logic above to help your child master the concept of math scavenger hunt worksheet.
