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PSP 21

 Unit: Fractions
Question 1
                                            3
 The mass of one of the sacks is            the mass
 of the other                               4

One sack
                                                      42
The other
  sack




            42 ÷ 7 = 6 (1 unit)
                              ?
            7 units -> 42

            4 x 6 = 24 (4 units, heavier sack)

                                                 Answer: 24 kg
Question 2
                4
Jody has            as much money as Charlie.
                9

 Jody
                                                  $650
Charlie




          650÷13= 50 (1 unit)
                              ?
          13 units -> 650

          50 x 9 = 450 (9 units, Charlie)

                                            Answer: $450
Question 3
                                       5
 The cost of the mini-compo set is     the cost
 of the television set.                7
                    ?
 Mini-compo
                                                  $2520
Television




         2520 ÷ 12= 210 (1 unit)
         12 units -> 2520

         210 x 5 = 1050 (5 units, mini-compo)

                                        Answer: $1050
Question 4
                       3
The purse costs            as much as the bag.
                       4

  purse

   bag
                                  $35



         35 ÷ 7= 5(1 unit)
                    ?
         7 units -> 35

         5 x 4 = 20 (4 units, bag)

                                            Answer: $20
PSP
22
 Unit: Fractions
Question 1
                   7
Carol’s mass is        of George’s.
                   9                   24 kg

  Carol

George




      24 ÷ 2= 12 (1 unit)
                          ?
      2 units -> 24

      9 x 12 = 108 (9 units, George)

                                        Answer: 108 kg
Question 2
                           4
The cost of the clock is    of the cost of the
watch.                     7
                           $48
  clock
                                          ?
 watch




      48 ÷ 3= 16 (1 unit)
      3 units -> 48

      16 x 11 = 176 (11 units, total)

                                        Answer: $176
Question 3
                                              4
The amount of money in Zilong’s wallet is    of
the amount in Mary’s handbag.                 9
               ?              $25
 Zilong

  Mary




      25 ÷ 5= 5 (1 unit)
      5 units -> 25

      5 x 4 = 20 (4 units, total)

                                      Answer: $20
Question 4
                                        5
The number of boys in a hall is         the number
                                        8
of girls.
                                  72
 Zilong
                                                  ?
  Mary




      72 ÷ 3= 24 (1 unit)
      3 units -> 72

      13 x 24 = 312 (13 units, total)

                                            Answer: 312
PSP 23
 Unit: Fractions
Question 1
                        1
After giving away         of his pencils...
                        3                 total
           left
                                  How many units left? 3 – 1 = 2

 pencils

           left   10        70
 rulers




 60 ÷ 5 = 12 (1 unit)
 70 – 10 = 60 (5 units)

 12 x 3 = 36 (3 units, pencils at first)
                                            Answer: 36
Question 2
                           3
   If he sells away            of his chickens…
               left
                           4                 total
                                     How many units left? 4 – 3 = 1

    chickens

               left 400           700
     ducks




300 ÷ 5 = 60 (1 unit)
700 – 400 = 300 (5 units)

400 +60 = 460 (ducks)
60 x 4 = 240 (chickens)
460 – 240 = 220 (ducks more than chickens)            Answer: 220
Question 3
                       1
   After spending        of her $2-notes….
               left
                       3                total
                                     How many units left? 3 – 1 = 2

    $2-notes

               left   10      50
    $5-notes
                            (b)

                            $2 x 24 = $48 (total value of $2-notes)
                            8 x 3 = 24 (total number of $2-notes)
(a)

40 ÷ 5 = 8 (1 unit)         26 x $5 = $130 (total value of $5-notes)
50 – 10 = 40 (5 units)

8 x 2 = 16 (2 units)        $130 + $48 = $178
16 + 10 = 26 ($5-notes)
                                     Answer: (a)26           (b) $178
Question 4
             1
She gave       of her balls to Jane …
             5                       total
                 left           How many units left? 5 – 1 = 4

  balls

                 left      10   82
 marbles




 72 ÷ 9 = 8 (1 unit)
 82 – 10 = 72 (9 units)

 8 x 4 = 32 (4 units, marbles at first)
                                          Answer: 32
PSP 24
 Unit: Fractions
Question 1

             Have equivalent fractions
             so you can add or minus
                      easily!




               Answer: 40
Question 2
       Have equivalent fractions
       so you can add or minus
                easily!




                 Answer: 720
Question 3

                     Have equivalent
                   fractions so you can
                   add or minus easily!


(a)
Question 3

b)




           Answer: (a)48   (b)_____
PSP 25

 Unit: Fractions
Question 1
            1
I spent       of my money on a bag….
            5                       total
                                  Remainder -> 5 – 1 = 4
           bag        remainder
 pencils




 $90 ÷ 3 = $30 ( 1 unit)
                 blouse    $90




 $30 x 5 = $150 (at first)

                                        Answer: $150
Question 2
           1
I spent      of my money on a television set….
           9                          total
                                        Remainder -> 9 – 1 =8
Television set              remainder




                 refrigerator
                                          $420



   $420 ÷ 3 = $140 (1 unit)
   $140 x 5 = $700 (refrigerator)
                                             Answer: $700
Question 3
  2
     of the coins in a box are 10-cent coins …
  11            total (Remainder -> 11 units – 2 units = 9 units)
      10-cent coins              remainder




                            $1-coins            50 –cent coins


30 ÷ 3 = 10 (1 unit)
5 units – 2 units = 3 units ($1-coins more than 10-cent coins)

10 x 2 = 20 (10-cent coins)
10 x 5 = 50 ($1-coins)
10 x 4 = 40 (50-cent coins)
Question 3

20 x 10 cents = 200 cents = $2 ( value of 10-cent coins)
50 x $1 = $50 (value of $1 coin)
40 x 50 cents = 2 000 cents = $20 (value of 50-cent coins)

$2 + $50 + $20 = $72


Answer:
i)20 (10-cents coins), 50 ($1 coins), 40 (50-cents coins)
j)$72

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Psp 21 25

  • 1. PSP 21 Unit: Fractions
  • 2. Question 1 3 The mass of one of the sacks is the mass of the other 4 One sack 42 The other sack 42 ÷ 7 = 6 (1 unit) ? 7 units -> 42 4 x 6 = 24 (4 units, heavier sack) Answer: 24 kg
  • 3. Question 2 4 Jody has as much money as Charlie. 9 Jody $650 Charlie 650÷13= 50 (1 unit) ? 13 units -> 650 50 x 9 = 450 (9 units, Charlie) Answer: $450
  • 4. Question 3 5 The cost of the mini-compo set is the cost of the television set. 7 ? Mini-compo $2520 Television 2520 ÷ 12= 210 (1 unit) 12 units -> 2520 210 x 5 = 1050 (5 units, mini-compo) Answer: $1050
  • 5. Question 4 3 The purse costs as much as the bag. 4 purse bag $35 35 ÷ 7= 5(1 unit) ? 7 units -> 35 5 x 4 = 20 (4 units, bag) Answer: $20
  • 7. Question 1 7 Carol’s mass is of George’s. 9 24 kg Carol George 24 ÷ 2= 12 (1 unit) ? 2 units -> 24 9 x 12 = 108 (9 units, George) Answer: 108 kg
  • 8. Question 2 4 The cost of the clock is of the cost of the watch. 7 $48 clock ? watch 48 ÷ 3= 16 (1 unit) 3 units -> 48 16 x 11 = 176 (11 units, total) Answer: $176
  • 9. Question 3 4 The amount of money in Zilong’s wallet is of the amount in Mary’s handbag. 9 ? $25 Zilong Mary 25 ÷ 5= 5 (1 unit) 5 units -> 25 5 x 4 = 20 (4 units, total) Answer: $20
  • 10. Question 4 5 The number of boys in a hall is the number 8 of girls. 72 Zilong ? Mary 72 ÷ 3= 24 (1 unit) 3 units -> 72 13 x 24 = 312 (13 units, total) Answer: 312
  • 11. PSP 23 Unit: Fractions
  • 12. Question 1 1 After giving away of his pencils... 3 total left How many units left? 3 – 1 = 2 pencils left 10 70 rulers 60 ÷ 5 = 12 (1 unit) 70 – 10 = 60 (5 units) 12 x 3 = 36 (3 units, pencils at first) Answer: 36
  • 13. Question 2 3 If he sells away of his chickens… left 4 total How many units left? 4 – 3 = 1 chickens left 400 700 ducks 300 ÷ 5 = 60 (1 unit) 700 – 400 = 300 (5 units) 400 +60 = 460 (ducks) 60 x 4 = 240 (chickens) 460 – 240 = 220 (ducks more than chickens) Answer: 220
  • 14. Question 3 1 After spending of her $2-notes…. left 3 total How many units left? 3 – 1 = 2 $2-notes left 10 50 $5-notes (b) $2 x 24 = $48 (total value of $2-notes) 8 x 3 = 24 (total number of $2-notes) (a) 40 ÷ 5 = 8 (1 unit) 26 x $5 = $130 (total value of $5-notes) 50 – 10 = 40 (5 units) 8 x 2 = 16 (2 units) $130 + $48 = $178 16 + 10 = 26 ($5-notes) Answer: (a)26 (b) $178
  • 15. Question 4 1 She gave of her balls to Jane … 5 total left How many units left? 5 – 1 = 4 balls left 10 82 marbles 72 ÷ 9 = 8 (1 unit) 82 – 10 = 72 (9 units) 8 x 4 = 32 (4 units, marbles at first) Answer: 32
  • 16. PSP 24 Unit: Fractions
  • 17. Question 1 Have equivalent fractions so you can add or minus easily! Answer: 40
  • 18. Question 2 Have equivalent fractions so you can add or minus easily! Answer: 720
  • 19. Question 3 Have equivalent fractions so you can add or minus easily! (a)
  • 20. Question 3 b) Answer: (a)48 (b)_____
  • 21. PSP 25 Unit: Fractions
  • 22. Question 1 1 I spent of my money on a bag…. 5 total Remainder -> 5 – 1 = 4 bag remainder pencils $90 ÷ 3 = $30 ( 1 unit) blouse $90 $30 x 5 = $150 (at first) Answer: $150
  • 23. Question 2 1 I spent of my money on a television set…. 9 total Remainder -> 9 – 1 =8 Television set remainder refrigerator $420 $420 ÷ 3 = $140 (1 unit) $140 x 5 = $700 (refrigerator) Answer: $700
  • 24. Question 3 2 of the coins in a box are 10-cent coins … 11 total (Remainder -> 11 units – 2 units = 9 units) 10-cent coins remainder $1-coins 50 –cent coins 30 ÷ 3 = 10 (1 unit) 5 units – 2 units = 3 units ($1-coins more than 10-cent coins) 10 x 2 = 20 (10-cent coins) 10 x 5 = 50 ($1-coins) 10 x 4 = 40 (50-cent coins)
  • 25. Question 3 20 x 10 cents = 200 cents = $2 ( value of 10-cent coins) 50 x $1 = $50 (value of $1 coin) 40 x 50 cents = 2 000 cents = $20 (value of 50-cent coins) $2 + $50 + $20 = $72 Answer: i)20 (10-cents coins), 50 ($1 coins), 40 (50-cents coins) j)$72