## Wednesday, June 8, 2011

### June Vacation Chap 9.2 RATE (L4) Self-Paced Learning

1. Mathematics Textbook 1B
(a) Go through Chapter 9 (p9 to p11)
(b) Attempt Exercise 9.2 Q1 to Q10.

2. ACELearning Portal: eLearning Portal
> Subject: Secondary 1 Express
> Ratio, Rate and Speed: Choose Rate

(a) Go through video lessons: Rate, Average Rate, Example 1, Example 2
(b) Try Practice Drills on your own to check your understanding
Note: An email has been sent to all students via the AceLearning

1. 1.(a) 3.50
1.(b) 72
1.(c) 47
1.(d) 80
1.(e) 0.25
1.(f) 60

2.(a) \$23/h
2.(b) \$920/h

3.(a) 9km/l
3.(b) \$1.20

4.(a) 87.5g
4.(b) 750cm^3

5.(a) \$15
5.(b) \$150

6.(a) \$22.50
6.(b) \$450

7.(a) 27l
7.(b) 3 minutes

8.(a) \$26
8.(b) 25g
8.(c) Mass: 3000g, Cost: \$78

9.(a) \$201600
9.(b) \$4200

10.(a) 57.9g
10.(b) No, it is not. A pure gold cube of sides 2cm weighs 115.8g. The other gold cube is 4.2g heavier than the pure gold cube, and hence is not pure gold.

2. This comment has been removed by the author.

3. 1a) 3.50
1b) 72
1c) 47
1d) 80
1e) 4
1f) 60

2a) \$23/h
2b) \$920/week

3a) 9km/L
3b) \$1.20/L

4a) 87.5g/cube
4b) 0.7g/cm^3 of cube

5a) \$15/ticket
5b) \$150

6a) \$22.50/m^2
6b) \$450

7a) 27L/min
7b) 3 minutes

8a) \$26/kg
8b) 25g/m^2
8c) 3000g, \$78

9a) \$201 600
9b) \$4200/m^2

10a) 19.3g/cm^3
11b) No, it is not made of pure gold. The mass of pure gold per cm^3 is 19.3g but the mass of the gold cube per cm^3 is only 15g. Thus, we cannot conclude that the gold cube is made of pure gold.

4. 1.a) 3.50
b) 72
c) 47
d) 80
e) 0.25
f) 60

2.a) \$23/h
b) \$920/h

3.a) 9km/L
b) \$1.20/L

4.a) 87.5g/cube
b) 750cm3/cm3 of cube

5.a) \$15/ticket
b) \$150

6.a) \$22.50/m2
b) \$450

7.a) 27L/min
b) 3 mins

8.a) \$26/kg
b) 25g/m2
c) 3000g, \$78

9.a) \$201 600
b) \$4200/m2

10.a) 19.3g/cm3
b)No, it is not pure gold. A pure gold gold cube of side 2cm would weigh 19.3g per cm3. However, the gold cube weighs 15g per cm3.

5. This comment has been removed by the author.

6. 1a)\$3.50
1b)72
1c)47
1d)\$80
1e)0.25g
1f)60g
2a)\$23/h
2b)\$920/week
3a)9km/litre
3b)\$1.20/litre
4a)87.5g
4b)750cm3
5a)\$15
5b)\$150
6a)\$22.50
6b)\$450
7a)27litres
7b)3 minutes
8a)\$26
8b)25g
8c)3kg and \$78
9a)\$201600
9b)\$4200
10a)19.3g/cm3
10b)No it is not, if it was pure gold, it would weight 154.4g but instead the gold cube weighs 120g.

7. 1a) \$3.50/l
1b) The rate is 72 vases/day
1c) The rate is 48words/min
1d) The price is \$80/m^2
1e) The rate is 4kg/m
1f) The rate is 60g/egg
----------------------------
2a) His hourly wage rate is \$23/h
2b) His weekly wage rate is \$920/week
------------------------------
3a) The rate is 9km/l
3b) The price is \$1.2/l
---------------------------
4a) It is 87.5g/cube
4b) it is 0.7g/cm^3 of cube
--------------------------
5a) The price is \$15/ticket
5b) The price is \$150
------------------------
6a) The price is \$22.5/m^2
6b) The price is \$450/
------------------
7a) The amount is 27 l/min
7b) It takes 3min
--------------------
8a) It cost \$26/kg
8b) The mass is 25g.
8c) The mass needed is 3kg and the price would be \$78
----------------------------
9a) Jenny paid \$201600.
9b) The price is \$4200/m^2
--------------------
10a) It is 19.3g/cm^3
10b) It is not as if the cube was pure gold, it would weigh 154.4g instead, the cube is lighter by 34.4g therefore it is not pure gold.

8. 1a. \$3.50
1b. 72
1c. 47
1d. \$80
1e. 4kg
1f. 60g
________

2a. \$23/hr
2b. \$920/week
________

3a. \$95/litre
3b. \$1.2/litre
________

4a. 87.5g/cube
4b. 0.7/cm^3
_______

5a. \$15/ticket
5b. \$150/10 tickets

_______

6a. \$22.50/m^2
6b. \$450/20m^2

_______

7a. 27litres/min
7b. 3min

_______

8a. \$26/kg
8b. 25g/m^2
8c. The mass needed is 3kg and the cost is \$78

_______

9a. \$201 600
9b. \$4200/m^2

_______

10a. 19.3g/cm^3
10b. No it is not, A pure gold cube's mass should be 19.3g/cm^3 but this cube's mass is 15g/cm^3.

9. This comment has been removed by the author.

10. 1a)3.50
1b)72
1c)47
1d)80
1e)4
1f)60
2a)\$23/h
2b)\$920/week
3a)9km/litre
3b)\$1.20/litre
4a)87.5g/cube
4b)0.7g/cm^3 of cube

Further practice
5a)\$15/concert ticket
5b)\$150
6a)\$22.50/m^2
6b)\$450
7a)27litre/min
7b)3mins

Math@work
8a)\$26/kg
8b)25g
8c)Mass:3000g Cost:\$78
9a)\$201600
9b)\$4200/m^2
10a)19.3g/cm^3
10b)No,it is not made of pure gold.The mass of the pure gold cube per cm^3 is 19.3g but the mass of the other gold cube per cm^3 is 15g.Hence,The other gold cube is not made of pure gold.

11. 1a)3.50
1b)72
1c)47
1d)80
1e)4
1f)60
2a)\$23/h
2b)\$920/week
3a)9km/litre
3b)\$1.20/litre
4a)87.5g/cube
4b)0.7/cm^3 cube
5a)\$15
5b)\$150
6a)\$22.50/m^2
6b)\$450
7a)27
7b)3min
8a)\$26
8b)25g
8c)mass:3000g cost:\$78
9a)\$201600
9b)\$4200/m^2
10a)19.3/cm^3
10b)No as the mass per cm^3 of pure gold should be 19.3g but the other cube mass per cm^3 is 15g.Thus it is not pure gold.

12. 1)
a) \$3.50/L
b) 72 vases/day
c) 47 words/min
d) \$80/m^2
e) 4kg/m
f) 60g/egg

2)
a) \$23/h
b) \$920/week

3)
a) 9km/L
b) \$1.20/L

4)
a) 87..5g/cube
b) 0.7g/cm^3

5)
a) \$15/ticket
b) \$150

6)
a) \$22.5/m^2
b) \$450

7)
a) 27L/min
b) 3 minutes

8)
a) \$26/Kg
b) 25g
c) Mass -3Kg Cost - \$78

9)
a) \$201600
b) \$4200/m^2

10)
a) 19.3g/cm^3
b)
No. The mass of PURE gold per cm^3 is 19.3g but the other gold cube's (mass/cm^3) rate is 15g which is lower than the Pure gold cube's. Thus the second cube cube of gold cannot be Pure gold.

13. 1)
a) \$3.50/ℓ
b) 70 vases/day
c) 47 words/min
d) \$80/m^2
e) 4kg/m
f) 60g/egg

2)
a) \$23/hour
b) \$920/week

3)
a) 9km/ℓ
b) \$1.20/ℓ

4)
a) 87.5g/cube
b) 0.7g/cm^3 of cube

5)
a) \$15/ticket
b) \$150

6)
a) \$22.50/m^2
b) \$450

7)
a) 27ℓ/min
b) 3 minutes

8)
a) \$26/kg
b) 25g/m^2
c) 3kg, \$78

9)
a) \$201 600
b) \$4200/m^2

10)
a) 19.3g/cm^3
b) No, it is not. The mass of pure gold per cm^3 (19.3g) is different from the gold cube's mass per cm^3 (15g) so we cannot conclude that the gold cube is made out of pure gold.

14. 1a. 3.50
1b. 72
1c. 47
1d. 80
1e. 4
1f. 60

2a. \$23/hour \$23 per hour
2b. \$920/week \$920 per week

3a. 9km/ litre
3b. \$1.20/ litre

4a. 87.5g/cube
4b. 0.7g/cm^3

5a. \$15/1ticket
5b. \$150

6a. \$22.50/m^2
6b. \$450

7a. 27litre/min
7b. 3 min

8a. \$26/kg
8b.25g/m^2
8c. 3kg \$78

9a.\$201600
9b. \$4200/ m^2

10a. 19.3g/cm^3
11b. No,it is not. As the mass of pure gold per cm^3 is 19.3g, and the mass of a gold cube is 15g per cm^3, they are different so i cannot conclude that the gold cube is made of pure gold

15. 1.
a)\$3.50
b)72
c)47
d)80
e)0.25
f)60

2.
a)\$23
b)\$920

3.
a)9
b)\$1.20

4.
a)87.5g
b)125cm^3

5.
a)\$15
b)\$150

6.
a)\$22.50
b)\$450

7.
a)27ℓ
b)3min

8.
a)\$26
b)25g
c)3kg, \$78

9.
a)\$201600
b)\$4200

10.
a)19.3g
b) No, it is not. The difference between the mass of the pure gold cube per cm^3 and the mass of the gold cube is different, hence we cannot conclude the gold cube in entirely made of pure gold.

16. 1.(a) 3.50
1.(b) 72
1.(c) 47
1.(d) 80
1.(e) 0.25
1.(f) 60

2.(a) \$23/h
2.(b) \$920/h

3.(a) 9km/l
3.(b) \$1.20

4.(a) 87.5g
4.(b) 750cm^3

5.(a) \$15
5.(b) \$150

6.(a) \$22.50
6.(b) \$450

7.(a) 27ℓ
7.(b) 3 min

8.(a) \$26
8.(b) 25g
8.(c) Mass: 3kg, Cost: \$78

9.(a) \$201600
9.(b) \$4200

10.(a) 57.9g
10.(b) No, it is not. The mass of pure gold per cm^3 and the mass of the gold cube per cm^3 is different so the gold cube is not pure gold.

17. 1a)\$3.50/ℓ
1b)72
1c)47
1d)\$80 m^2
1e)4kg/m
1f)60

2a)\$23
2b)\$920

3a)9km/ℓ
3b)\$1.2

4a)87.5g
4b)0.7g

5a)\$15
5b)\$150

6a)\$22.5
6b)\$400

7a)27ℓ
7b)3min

8a)\$26
8b)25g
8c)mass:300g cost:\$78

9a)\$201 600
9b)\$4200

10a)19.3g
10b)No,because the mass of pure gold per cm^3 is 15g but previously it was 19.3g

18. 1a. \$3.50/litre
1b. 72 vases/day
1c. 47 words/min
1d. \$80/m^2
1e. 4kg/m
1f. 60g/egg

2a. \$23/h
2b. \$920

3a. 9km/litre
3b. \$1.20/litre

4a. 87.5g/cube
4b. 125cm^3/cube

5a. \$15/ticket
5b. \$150

6a. \$22.50/m^2
6b. \$450

7a. 27 litre/min
7b. 3mins

8a. \$26/kg
8b. 25g/m^2
8c. 3kg, \$78

9a. \$201 600
9b. \$4200/m^2

10a. 19.3g/cm^3
10b. No, the rate of the gold per cm^3 in the gold cube is not equal to that of the pure gold cube, thus it is not made of pure gold.

19. 1a. \$3.50/litre
1b. 72 vases/day
1c. 47 words/min
1d. \$80/m^2
1e. 4kg/m
1f. 60g/egg

2a. \$23/h
2b. \$920

3a. 9km/litre
3b. \$1.20/litre

4a. 87.5g/cube
4b. 125cm^3/cube

5a. \$15/ticket
5b. \$150

6a. \$22.50/m^2
6b. \$450

7a. 27 litre/min
7b. 3mins

8a. \$26/kg
8b. 25g/m^2
8c. 3kg, \$78

9a. \$201 600
9b. \$4200/m^2

10a. 19.3g/cm^3
10b. -

20. 1a) 3.50
1b) 72
1c) 47
1d) 80
1e) 4
1f) 60

2a) \$23/h
2b) \$920/week

3a) 9km/L
3b) \$1.20/L

4a) 87.5g/cube
4b) 0.7g/cm^3 of cube

5a) \$15/ticket
5b) \$150

6a) \$22.50/m^2
6b) \$450

7a) 27L/min
7b) 3 minutes

8a) \$26/kg
8b) 25g/m^2
8c) 3000g, \$78

9a) \$201 600
9b) \$4200/m^2

10a) 19.3g/cm^3
10b) No,it is not pure gold. A pure gold gold cube of side 2cm would weigh 19.3g per cm3. However, the gold cube weighs 15g per cm3.

21. 1a) 3.50
1b) 72
1c) 47
1d) 80
1e) 4
1f) 60

2a) \$23/h
2b) \$920/week

3a) 9km/L
3b) \$1.20/L

4a) 87.5g/cube
4b) 0.7g/cm^3 of cube

5a) \$15/ticket
5b) \$150

6a) \$22.50/m^2
6b) \$450

7a) 27L/min
7b) 3 minutes

8a) \$26/kg
8b) 25g/m^2
8c) 3000g, \$78

9a) \$201 600
9b) \$4200/m^2

10a) 19.3g/cm^3
11b) No, it is not made of pure gold. The mass of pure gold per cm^3 is 19.3g whereas the mass of the gold cube per cm^3 is only 15g.

22. 1 a) \$3.50
b) 72
c) 47
d) 80
e)0.25
f)60

2 a) \$23/1h
b) \$920/1h

3 a) 9km/l
b) \$1.20/l

4 a) 87.5 g
b) 125cm^3

5 a) \$15
b) \$150

6 a) \$22.50
b) \$450

7 a) 27l
b) 3 min

8 a) \$26
b) 25g
c) Mass:3000 g Cost:\$78.00

9 a) \$201 600
b) \$4200

10 a) 19.3
b) No it is not. Based on the actual real gold cube , a pure gold cube of 2 cm will weigh 154.4g.But instead, it weighs 120g.