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.
Enter your answers to Exercise 9.2 under Comments. Label your Answers with Question numbers.

2. ACELearning Portal: eLearning Portal
> Subject: Secondary 1 Express
> Additional Arithmetic
> 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

17 comments:

  1. Q1:
    (a):$3.50/l (b):72 vases/day
    (c):47 words/min (d)$80/m²
    (e):4kg/m (f):60g/egg
    Q2:
    (a):$23/h (b)$920/week
    Q3:
    (a):9km/l (b)$1.20/l
    Q4:
    (a):87.5g/cube (b):0.7g/cm³ of cube
    Q5:
    (a):$15/ticket (b):$150
    Q6:
    (a):$22.50/m² (b):$450
    Q7:
    (a):45l/min (b):3 min
    Q8:
    (a):$26/kg (b):25g (c):3kg and $78
    Q9:
    (a):$201 600 (b):$4200/m²
    Q10:
    (a)19.3g/cm³
    (b)No,it is not made of pure gold.When we calculate the mass per m³ of the gold cube with side 2cm,the mass is 15g.The mass of the pure gold cube is 19.3g/cm³ thus there's a difference between the pure gold cube and the gold cube,thus this shows that the gold cube with side 2cm is not a pure gold cube.

    ReplyDelete
  2. Q1.
    (a)$3.50/l
    (b)72 vases/day
    (c)376 words/min
    (d)$80/m²
    (e)4kg/m
    (f)60g/egg

    Q2.
    (a)$23/h
    (b)$920/week

    Q3.
    (a)9km/l
    (b)$1.20/l

    Q4.
    (a)87.5g/cube
    (b)$1.20/l

    Q5.
    (a)$15/ticket
    (b)$150

    Q6.
    (a)$22.50/m²
    (b)$450

    Q7.
    (a)27l
    (b)3 min

    Q8.
    (a)$26
    (b)25g
    (c)Mass:3 kg Cost:$78

    Q9.
    (a)$201 600
    (b)$4200/m²

    Q10.
    (a)19.3g
    (b)No, its is not made of pure gold as pure gold's mass per cm³ is 19.3g as calculated using the first block which is a pure gold block, but the second block's mass per cm³ is 15g so it cannot be entirely made of pure gold as the their mass per cm³ are different.

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  3. Q1. (a) $3.50/l
    (b) 72 vases/day
    (c) 47 words/min
    (d) $80/m²
    (e) 4kg/m
    (f) 60g/egg

    Q2. (a) $23/h
    (b) $920/week

    Q3. (a) 9km/l
    (b) $1.20/l

    Q4. (a) 87.6g/wooden cube
    (b) 0.7g/cm³

    Q5. (a) $15/concert tickets
    (b) $150

    Q6. (a) $22.50/m²
    (b) $450

    Q7. (a) 27l/min
    (b) 3 min

    Q8. (a) $26/kg
    (b) 25g
    (c) Mass: 3000g Cost: $78

    Q9. (a) $201600
    (b) $4200/m²

    Q10. (a) 19.3g/cm³
    (b) No, it is not made of pure gold. As calculated, the mass of a pure gold cube is 19.3g/cm³but the mass of the another gold cube is 15g/cm³. The masses of the two different cubes are different so the gold cube could not possibly be made of pure gold.

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

    2. (a)$23/hour
    (b)$920/week

    3. (a)9Km/litre
    (b)$1.20/litre

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

    5. (a)$15/ticket
    (b)$50

    6. (a)$22.50/m^2
    (b)$450

    7. (a)27litres/minute
    (b)3minutes

    8. (a)$26/Kg
    (b)25g
    (c)mass=3Kg
    cost=$78

    9. (a)$201000
    (b)$4200/m^2

    10.(a)19.3g/cm^3
    (b)No because its mass per cm^3 is 15 while the mass of pure gold per cm^3 is 19.3g. Since their mass per cm^3 is different, the second gold cube is not made of pure gold.

    ReplyDelete
  5. Q1
    a. $3.50/l
    b. 72 vases/day
    c. 47 words/min
    d. $80/m^2
    e. 4kg/m
    f. 60g/egg
    Q2.
    a. $23/hr
    b. $920/wk
    Q3
    a. 9km/l
    b. 1.20/l
    Q4
    a. 87.5g/cube
    b. 0.7g/cm^3 of cube
    Q5
    a $15/ticket
    b $150
    Q6
    a. $22.50/m^2
    b. $450
    Q7
    a. 27l/min
    b. 3 min
    Q8
    a. $26
    b. 25g
    c. 3kg, $78
    Q9
    a. $201 600
    b. $4200/m^2
    Q10
    a.19.3g
    b. Nope, it is not made of pure gold. It is lighter than what pure gold should weigh as its mass of gold per cm^3 is 15g/cm^3 while the mass of pure gold per cm^3 is 19.3g/cm^3.

    Gladys 03

    ReplyDelete
  6. Q1.
    (a)$3.50/l
    (b)72 vases/day
    (c)47 words/min
    (d)$80/m²
    (e)4kg/m
    (f)60g/egg

    Q2.
    (a)$23/h
    (b)$920/week

    Q3.
    (a)9km/l
    (b)$1.20/l

    Q4.
    (a)87.5g/cube
    (b)0.7 m/cm3

    Q5.
    (a)$15/ticket
    (b)$150

    Q6.
    (a)$22.50/m²
    (b)$450

    Q7.
    (a)27l
    (b)3 min

    Q8.
    (a)$26
    (b)25g
    (c)Mass:3 kg Cost:$78

    Q9.
    (a)$201 600
    (b)$4200/m²

    Q10.
    (a)19.3g
    (b)No, its is not made of pure gold as the first block of pure gold is already 120g thus if this block is made of pure gold, it should have lesser mass. Thus, this block is not made of pure gold.

    ReplyDelete
  7. Q1.
    (a) $3.50/litre
    (b)72 vases/day
    (c)47 words/minute
    (d)$80/m^2
    (e)4kg/m
    (f)60g/egg

    Q2.
    (a)$23/hour
    (b)$920/week

    Q3.
    (a)9km/litre
    (b)$1.20/litre

    Q4.
    (a)87.5g/cube
    (b)0.7g/cm^3 of cube

    Q5.
    (a)$15/ticket
    (b)$150

    Q6.
    (a)$22.5/m^2
    (b)$450

    Q7.
    (a)27litres/minute
    (b)3 minutes

    Q8.
    (a)$26/kg
    (b)25g/m^2
    (c)3kg

    Q9.
    (a)$201,600
    (b)$4,200/m^2

    Q10.
    (a)19.3g/cm^3
    (b)No, it is not made of pure gold as 8cm^2 of pure gold should weigh 154.4g, while this block weighs only 120g. Thus, this block has impurities and is not made of pure gold.

    ReplyDelete
  8. Q1-
    (a) $3.50/litre
    (b) 72 vases/day
    (c) 47 wrods/minute
    (d) $80/m^2
    (e) 4kg/m
    (f) 60g/egg

    Q2-
    (a) $23/hour
    (b) $920/week

    Q3-
    (a) 9litres/km
    (b) $1.20/litre

    Q4-
    (a) 87.5g/cube
    (b) 0.7g/cm^3 of cube

    Q5-
    (a) $15/ticket
    (b) $150

    Q6-
    (a) $22.5/m^2
    (b) $450

    Q7-
    (a) 27litres/min
    (b) 3 minutes

    Q8-
    (a) $26/kg
    (b) 25g/m^2
    (c) 3kg, $78

    Q9-
    (a) $201 600
    (b) $4 200/m^2

    Q10-
    (a) 19.3g/cm^3
    (b) No, the god cube would not have been made of pure gold. The volume of that 2cm by 2cm by 2cm cube is 8cm^3. While the mass of pure gold per cm^3 is 19.3g, thus the mass of the 2cm cube should be 8 x 19.3 = 154.4 not 120.

    ReplyDelete
  9. 1. a) 4.5/litre
    b) 72vases/day
    c)47words/min
    d)$80/m^2
    e)4kg/m
    f)60g/egg

    2. a) $23/hr
    b) $920/wk

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

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

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

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

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

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

    9. a) $201600
    b) $4200

    10. a) 19.3g/m^3
    b) No , it is not made of pure gold . real gold has the mass of 19.3g/m^3 but the gold that is not pure has the mass of 15g/m^3

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

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

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

    4. a) 87.5g
    b) 0.7g

    5. a) $15
    b) $150

    6. a) $22.50
    b) $450

    7. a) 27 litre
    b) 3 minute

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

    9. a) $201 600
    b) $4200

    10. a) 19.3g
    b) No, it is not. The mass of pure gold per m^3 is supposed to be 19.3g. However, the mass of this gold per m^3 is 15g. Both masses are different when they are supposed to be same if the gold is pure gold.

    ReplyDelete
  11. 1.
    a) $3.50/l
    b) 72vases/day
    c) 47words/day
    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
    b) $150
    6.
    a) $22.5/m^3
    b) $450
    7.
    a) 27l/min
    b) 3 minutes
    8.
    a) $26/kg
    b) 25g/m^2
    c) 3000g of Fertiliser that costs $78
    9.
    a) $201600
    b) $4200/m^2
    10.
    a) 19.3g/cm^3
    b) No, its density is not the same as Pure Gold.

    ReplyDelete
  12. Q1. (a) $3.50/l
    (b) 72 vases/day
    (c) 47 words/min
    (d) $140/m^2
    (e) 4 kg/m
    (f) 60g/egg

    Q2. (a) $23/hour
    (b) $920/week

    Q3. (a) 9km/l
    (b) $1.20/litre

    Q4. (a) 87.5g/cube
    (b) 0.7g/cm^3 of cube

    Q5. (a) $15/ticket
    (b) $150

    Q6. (a) $22.50/m^2
    (b) $450

    Q7. (a) 27l/min
    (b) 2 days 2 hours

    Q8. (a) $26/kg
    (b) 25g/m^2
    (c) 3kg, $78

    Q9. (a) $201 600
    (b) $4200/m^2

    Q10.(a) 19.3g/cm^3
    (b) No, it is not made of pure gold. The mass of pure gold per cm^3 is 19.3g while this gold cube does not have the same density as this, thus it is not pure gold.

    Nina

    ReplyDelete
  13. Basic Practice
    1.
    (a) $3.5/ℓ
    (b) 72 vases/day
    (c) 47 words/min
    (d) $80/m²
    (e) 4kg/m
    (f) 60g/egg

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

    3.
    (a) 9km/ℓ
    (b) $1.2/ℓ

    4.
    (a) 87.5g/cube
    (b) 0.7g/cm³ of cube

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

    6.
    (a) $22.50/m²
    (b) $450

    7.
    (a) 27 ℓ/min
    (b) 3 min

    Maths@Work
    8.
    (a) $26/kg
    (b) 25g
    (c) Mass: 3kg; Cost: $78

    9.
    (a) $201600
    (b) No, it is not made of pure gold. This is because the mass of pure gold per cm³ is 19.3g while the mass of the gold per cm³ is 15g. Thus, the gold cube is not made of pure gold.

    ReplyDelete
  14. 1.
    (a) $3.50/ℓ
    (b) 72vases/day
    (c) 97words/min
    (d) $80//m²
    (e) 4kg/m
    (f) 60g/egg

    2.
    (a) $4.60
    (b) $920

    3.
    (a) 9km/ℓ
    (b) $1.20/ℓ

    4.
    (a) 87.5g/cube
    (b) 0.7g/cm³ of cube

    5.
    (a) $85
    (b) $850

    6.
    (a) $22.50/m²
    (b) $450

    7.
    (a) 27ℓ/min
    (b) 3mins

    8.
    (a) $26/kg
    (b) 25g of fertiliser
    (c) 3kg pack of fertiliser and $78

    9.
    (a) $201600
    (b) $4200/m²

    10.
    (a) 19.3g/cm^3
    (b) No, it is not made of pure gold as the density of the gold cube is not the same as the pure gold cube.

    ReplyDelete
  15. 1.
    (a) $3.5ℓ
    (b) 72 vases/day
    (c) 47 words/min
    (d) $80/m^2
    (e) 4kg/m
    (f) 60g/egg

    2.
    (a) His hourly wage rate is $23
    (b) His weekly wage rate is $920

    3.
    (a) The rate of petrol consumption is 9km/litter
    (b) The price of petrol per litter was $1.20

    4.
    (a) The mass of per cube is 87.5g
    (b) The mass per cm^3

    5.
    (a) The price per ticket was $15
    (b) The price of 10 tickets was $150

    6.
    (a) The price of laying floor tiles per m^2 was $22.50
    (b) The price of laying 20m^2 of floor tiles was $450

    7.
    (a) It delivers 27 litres/minute
    (b) It will take the pipe 3 minutes to fill the empty tank completely with water.

    8.
    (a) The cost of fertiliser per kg is $26
    (b) 25g of fertiliser can be applied to 1m^2 of lawn
    (c) The mass of the fertiliser required for the lawn is 3kg. The cost of the fertiliser required for the lawn is $78

    9.
    (a) Jenny paid $201 600
    (b) The price per m^2 of the apartment was $4200

    10.
    (a) The mass of pure gold per cm^3 is 19.3g
    (b) No it is not made of pure gold. It's mass per cm^3 is only 15g, whereas the mass of pure gold per cm^3 is 19.3g.

    ReplyDelete
  16. 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)$22.50/m^2
    b)$450

    7.a)27l/min
    b)3min

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

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

    10.a)19.3g/cm^2
    b)2cm x 2cm x 2cm=8cm^3
    120g/8cm^3=15g/cm^3
    No it is not solid gold as the average rate of it is 15g/cm^3 while the proper average rate of a solid gold cube is 19.3g/cm^3.

    ReplyDelete
  17. ____________________ [ E X E R C I S E 9 . 2 ] ____________________

    [1] a) $3.50/ℓ
    [1] b) 72 vases/day
    [1] c) 47 words/min
    [1] d) $80/m^2
    [1] e) 4kg/m
    [1] f) 60g/egg


    [2] a) $23/hr
    [2] b) $920/week


    [3] a) 9km/ℓ
    [3] b) $1.2/ℓ


    [4] a) 87.5g/cube
    [4] b) 525g/cm^3 of cube


    [5] a) $120 ÷ 8 = $15/ticket
    [5] b) $15 x 10 = $150
    $150 for 10 tickets


    [6] a) $270 ÷ 12m^2 = $22.5/m^2
    [6] b) $22.5 x 20m^2 = $450


    [7] a) 1 min = 3 x 20s
    9ℓ x 3 = 27ℓ/min

    [7] b) 30 x 45 x 60 = 81000 cm^3
    81000cm^3 = 81 ℓ
    81ℓ ÷ 27ℓ = 3 min


    [8] a) 500g = 0.5kg
    $13 ÷ 0.5kg = $26/kg

    [8] b) 500g ÷ 20m^2 = 25g/m^2

    [8] c) 15 x 8 = 120
    120 ÷ 20 = 6
    6 x 800 = 3000
    6 x 13 = $78


    [9] a) $504 000 x 2/3 = $201 600
    [9] b) $504 000 ÷ 120m^2 = $4200/m^2


    [10] a) 3 x 3 x 3 = 27
    521.1 ÷ 27 = 19.3g/cm^2

    [10] b) 2 x 2 x 2 = 8
    120 ÷ 8 = 15
    No, I don't think that it is made of pure gold as the mass doesn't seem to meet the average rate per cm^3.

    ReplyDelete