Unit 1 Lesson 6: Exercise 1

1) Find the two numbers that multiply to give 2040 and have a difference of 61.

2) Find the two numbers that multiply to give 275 and add to give 36.

3)Donald, Doris and their four children went to movie land on the Gold Coast. The total cost of all tickets was $144, with the children paying half adult price. What was the cost of Donald’s ticket?

4)A shop sold 2 or 3 wheel off road motorcycles. Their spare part bin held 12 sets of handlebars and 27 wheel suitable for either type. How many of each type of the motorcycle could have complete handlebar and wheel replacement from the bin?

5)Solve this problem by drawing a diagram or a model. Four people wish to set up their own private telephone systems with each being connected to all the others. What is the minimum number of lines?

6)Brenda remembered that her friend’s house number had 2 digits and the digits add up to 8. If the house numbers are from 1 to 80, how many houses on that street would fit that description?

7) A total of 50 cent can be made from 5, 10 and 20 cent coins in 12 different ways.

8)The sum of the first 50 odd numbers.

9)The sum of the first 50 natural numbers.

10)How many ways can Peter, Abraham and John be seated in a row?