GRADE SIX MATHEMATICS

Answers to Last Week’s Exercises Exercise 1: 1. 2 to 3 2:3 2/3 4. 10 to 3 10:3 10/3 7. 9 to 4 9:4 9/4

Exercise 2: 1. 3 : 4

Exercise 3: 1. No 2. Yes 3. Yes

Exercise 4: 1. $40 , $ 60 4. $240 , $ 400 , $ 320 2. 5. 8. 5 to 2 5:2 1 to 2 1:2 1 to 3 1:3 4. Yes 2. 5. 5. No 5/2 1/2 1/3 6. Yes 7 books , 28 books 12 curlers 7. 12 3. 6. 8. 35 38 mm 5:2 9. 20 10. 5 , 15 mm 7. 5:3 Story Problem: Andrew spends an average of $400 every 2 days on snacks. Mark spends an average of $1000 every 4 days on snacks as well. Are the ratios of cash spent for Andrew and Mark equal? Show your working.

Andrew’s ratio: Mark’s ratio:

400: 2 = 200:1 1000: 4 = 250:1 Since the ratios are different, the ratios are unequal.

Exercise 1: Complete to form equal ratios

1. 3 = 7

4. 63

12 = 36 23

2. Patrick’s team scored an average of 60 runs in every three innings. Peter’s team scored an average of 90 runs in every five innings. Are the ratios of runs to innings equal or not equal?

Show your working.

3. Jamie sells an average of six cases of orange juice every two days while Angel sells six cases of orange juice per week. Are the ratios equal or not equal?

Jamies’s ratio: Angel’s ratio:

2. 40 = 120 51

5.

7 = 35 11 Are the ratios equal or not equal?

Explain: ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________

Who sold more oranges for one week? ___________ How many oranges were sold? _________

Rates

Sometimes we can use the concept of ratio to find the rate. The rate is a special kind of ratio which compares quantities that are different.

We use the rate when we are required to calculate speed or tell how long we took to read a certain number of pages in a book. Then rate is also used in several other occasions. Discuss some of these occasions with someone.

Complete each table then answer the questions.

1. Ann can read 2 pages in 5 minutes.