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Primary 4

     Multiplication
          and
Division Word Problems
Multiplication & Division Problem Sums
There were 4 times as many children as adults in a
party. After 16 adults left, the number of children in
the party was 20 times the number of the remaining
adults. How many people attended the party?
Multiplication & Division Problem Sums
There were 4 times as many children as adults in a
party. After 16 adults left, the number of children in
the party was 20 times the number of the remaining
adults. How many people attended the party?
Extract Info:
C -> 4u                           Draw the models
A -> 1u                           according to your
                                  extracted info.
Notice the number of children
remains unchanged.
Therefore, we multiply 4u by
5 to get 20u for the children.
Logically, we also multiply 1u
by 5 for the adults.

C -> 20u         ?
A -> 5u - 16
Multiplication & Division Problem Sums
There were 4 times as many children as adults in a
party. After 16 adults left, the number of children in
the party was 20 times the number of the remaining
adults. How many people attended the party?
Extracted Info
C -> 20u
A -> 5u - 16
   C
                                                    ?
   A
          16
Multiplication & Division Problem Sums
There were 4 times as many children as adults in a
party. After 16 adults left, the number of children in
the party was 20 times the number of the remaining
adults. How many people attended the party?
Extracted Info
C -> 20u
A -> 5u - 16
   C
                                                    ?
   A
          16
       4u -> 16
       1u -> 16 ÷ 4 = 4
Multiplication & Division Problem Sums
There were 4 times as many children as adults in a
party. After 16 adults left, the number of children in
the party was 20 times the number of the remaining
adults. How many people attended the party?
Extracted Info
C -> 20u
A -> 5u - 16
   C
                                                    ?
   A
          16
       4u -> 16
       1u -> 16 ÷ 4 = 4
       25u -> 25 x 4 = 100

       100 people attended the party.
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Extract Info:
Mark -> 2u                          Draw the models
Paul -> 1u                          according to your
                                    extracted info.
Notice Mark's money remains
unchanged. Therefore, we
multiply 2u by 3 to get 6u for
Mark. Logically, we also multiply
1u by 3 for Paul.

Mark -> (2u x 3) = 6u
Paul -> (1u x 3) = 3u - 60
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Extract Info:
Mark -> (2u x 3) = 6u
Paul -> (1u x 3) = 3u - 60

 Mark
              ?
 Paul
         60
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Extract Info:
Mark -> (2u x 3) = 6u
Paul -> (1u x 3) = 3u - 60

 Mark                   2u   -> 60
              ?
 Paul
         60
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Extract Info:
Mark -> (2u x 3) = 6u
Paul -> (1u x 3) = 3u - 60

 Mark                   2u   -> 60
                        1u   -> 60 ÷ 2 = 30
              ?
 Paul
         60
Multiplication & Division Problem Sums
Mark went shopping with twice as much money as
Paul. After Paul spent $60, Mark had 6 times as
much money as Paul. How much more money did Mark
bring along for shopping than Paul?
Extract Info:
Mark -> (2u x 3) = 6u
Paul -> (1u x 3) = 3u - 60

 Mark                   2u   -> 60
                        1u   -> 60 ÷ 2 = 30
              ?         3u   -> 30 x 3 = 90
 Paul
         60             Mark brought $90 more
                        than Paul.
Multiplication & Division Problem Sums
The total cost of 3 erasers and 5 pens is $52. Each
pen costs $8. Find the cost of each eraser.
                 Extract Info:
                 3E + 5P = 52 (Total cost)
                 P = 8

 We know the cost of 1 pen. So let's find the cost of
 5 pens.
Multiplication & Division Problem Sums
The total cost of 3 erasers and 5 pens is $52. Each
pen costs $8. Find the cost of each eraser.
                 Extract Info:
                 3E + 5P = 52 (Total cost)
                 P = 8
   P -> $8

   5P -> 5 x $8 = $40
Multiplication & Division Problem Sums
The total cost of 3 erasers and 5 pens is $52. Each
pen costs $8. Find the cost of each eraser.
                 Extract Info:
                 3E + 5P = 52 (Total cost)
                 P = 8
   P -> $8

   5P -> 5 x $8 = $40

   Cost of 3 erasers   -> Total cost – Cost of 5 pens
                       -> $52 – $40
                       -> $12
Multiplication & Division Problem Sums
The total cost of 3 erasers and 5 pens is $52. Each
pen costs $8. Find the cost of each eraser.
                 Extract Info:
                 3E + 5P = 52 (Total cost)
                 P = 8
   P -> $8

   5P -> 5 x $8 = $40

   Cost of 3 erasers   -> Total cost – Cost of 5 pens
                       -> $52 – $40
                       -> $12

   Cost of 1 eraser -> $12 ÷ 3 = $4
Multiplication & Division Problem Sums
The total length of 4 ropes and 6 strings is 334cm.
The length of each rope is 46cm. Find the length of
each string.
                  Extract Info:
                  4R + 6S = 334 (Total length)
                  R = 46
 We know the length of 1 rope. So let's find the
 length of 4 ropes.
Multiplication & Division Problem Sums
The total length of 4 ropes and 6 strings is 334cm.
The length of each rope is 46cm. Find the length of
each string.
                  Extract Info:
                  4R + 6S = 334 (Total length)
                  R = 46
 We know the length of 1 rope. So let's find the
 length of 4 ropes.

 R -> 46 cm
 4R -> 46 x 4 = 184 cm
Multiplication & Division Problem Sums
The total length of 4 ropes and 6 strings is 334cm.
The length of each rope is 46cm. Find the length of
each string.
                  Extract Info:
                  4R + 6S = 334 (Total length)
                  R = 46
 We know the length of 1 rope. So let's find the
 length of 4 ropes.

 R -> 46 cm
 4R -> 46 x 4 = 184 cm

 Length of 6 strings -> Total length – 4R
                     -> 334 – 184
                     -> 150 cm
Multiplication & Division Problem Sums
The total length of 4 ropes and 6 strings is 334cm.
The length of each rope is 46cm. Find the length of
each string.
                  Extract Info:
                  4R + 6S = 334 (Total length)
                  R = 46
 We know the length of 1 rope. So let's find the
 length of 4 ropes.

 R -> 46 cm
 4R -> 46 x 4 = 184 cm

 Length of 6 strings -> Total length – 4R
                     -> 334 – 184
                     -> 150 cm

 Length of 1 string -> 150 ÷ 6 = 25 cm
Multiplication & Division Problem Sums
The total mass of 3 watermelons and 8 mangoes is
76kg. Each watermelon weighs 12kg. Find the mass of
each mango.
                  Extract Info:
                  3W + 8M = 76 (Total mass)
                  W = 12
 We know the mass of 1 watermelon. So let's find the
 mass of 3 watermelons.
Multiplication & Division Problem Sums
The total mass of 3 watermelons and 8 mangoes is
76kg. Each watermelon weighs 12kg. Find the mass of
each mango.
                  Extract Info:
                  3W + 8M = 76 (Total mass)
                  W = 12
 We know the mass of 1 watermelon. So let's find the
 mass of 3 watermelons.

 W    -> 12 kg
 3W   ->       x         =

 Mass of 8 mangoes -> Total mass – 3W

 Mass of 1 mango -> Mass of 8 mangoes ÷ 8 =

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P4 Multiplication & Division Problem Sums

  • 1. Primary 4 Multiplication and Division Word Problems
  • 2. Multiplication & Division Problem Sums There were 4 times as many children as adults in a party. After 16 adults left, the number of children in the party was 20 times the number of the remaining adults. How many people attended the party?
  • 3. Multiplication & Division Problem Sums There were 4 times as many children as adults in a party. After 16 adults left, the number of children in the party was 20 times the number of the remaining adults. How many people attended the party? Extract Info: C -> 4u Draw the models A -> 1u according to your extracted info. Notice the number of children remains unchanged. Therefore, we multiply 4u by 5 to get 20u for the children. Logically, we also multiply 1u by 5 for the adults. C -> 20u ? A -> 5u - 16
  • 4. Multiplication & Division Problem Sums There were 4 times as many children as adults in a party. After 16 adults left, the number of children in the party was 20 times the number of the remaining adults. How many people attended the party? Extracted Info C -> 20u A -> 5u - 16 C ? A 16
  • 5. Multiplication & Division Problem Sums There were 4 times as many children as adults in a party. After 16 adults left, the number of children in the party was 20 times the number of the remaining adults. How many people attended the party? Extracted Info C -> 20u A -> 5u - 16 C ? A 16 4u -> 16 1u -> 16 ÷ 4 = 4
  • 6. Multiplication & Division Problem Sums There were 4 times as many children as adults in a party. After 16 adults left, the number of children in the party was 20 times the number of the remaining adults. How many people attended the party? Extracted Info C -> 20u A -> 5u - 16 C ? A 16 4u -> 16 1u -> 16 ÷ 4 = 4 25u -> 25 x 4 = 100 100 people attended the party.
  • 7. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul?
  • 8. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul? Extract Info: Mark -> 2u Draw the models Paul -> 1u according to your extracted info. Notice Mark's money remains unchanged. Therefore, we multiply 2u by 3 to get 6u for Mark. Logically, we also multiply 1u by 3 for Paul. Mark -> (2u x 3) = 6u Paul -> (1u x 3) = 3u - 60
  • 9. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul? Extract Info: Mark -> (2u x 3) = 6u Paul -> (1u x 3) = 3u - 60 Mark ? Paul 60
  • 10. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul? Extract Info: Mark -> (2u x 3) = 6u Paul -> (1u x 3) = 3u - 60 Mark 2u -> 60 ? Paul 60
  • 11. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul? Extract Info: Mark -> (2u x 3) = 6u Paul -> (1u x 3) = 3u - 60 Mark 2u -> 60 1u -> 60 ÷ 2 = 30 ? Paul 60
  • 12. Multiplication & Division Problem Sums Mark went shopping with twice as much money as Paul. After Paul spent $60, Mark had 6 times as much money as Paul. How much more money did Mark bring along for shopping than Paul? Extract Info: Mark -> (2u x 3) = 6u Paul -> (1u x 3) = 3u - 60 Mark 2u -> 60 1u -> 60 ÷ 2 = 30 ? 3u -> 30 x 3 = 90 Paul 60 Mark brought $90 more than Paul.
  • 13. Multiplication & Division Problem Sums The total cost of 3 erasers and 5 pens is $52. Each pen costs $8. Find the cost of each eraser. Extract Info: 3E + 5P = 52 (Total cost) P = 8 We know the cost of 1 pen. So let's find the cost of 5 pens.
  • 14. Multiplication & Division Problem Sums The total cost of 3 erasers and 5 pens is $52. Each pen costs $8. Find the cost of each eraser. Extract Info: 3E + 5P = 52 (Total cost) P = 8 P -> $8 5P -> 5 x $8 = $40
  • 15. Multiplication & Division Problem Sums The total cost of 3 erasers and 5 pens is $52. Each pen costs $8. Find the cost of each eraser. Extract Info: 3E + 5P = 52 (Total cost) P = 8 P -> $8 5P -> 5 x $8 = $40 Cost of 3 erasers -> Total cost – Cost of 5 pens -> $52 – $40 -> $12
  • 16. Multiplication & Division Problem Sums The total cost of 3 erasers and 5 pens is $52. Each pen costs $8. Find the cost of each eraser. Extract Info: 3E + 5P = 52 (Total cost) P = 8 P -> $8 5P -> 5 x $8 = $40 Cost of 3 erasers -> Total cost – Cost of 5 pens -> $52 – $40 -> $12 Cost of 1 eraser -> $12 ÷ 3 = $4
  • 17. Multiplication & Division Problem Sums The total length of 4 ropes and 6 strings is 334cm. The length of each rope is 46cm. Find the length of each string. Extract Info: 4R + 6S = 334 (Total length) R = 46 We know the length of 1 rope. So let's find the length of 4 ropes.
  • 18. Multiplication & Division Problem Sums The total length of 4 ropes and 6 strings is 334cm. The length of each rope is 46cm. Find the length of each string. Extract Info: 4R + 6S = 334 (Total length) R = 46 We know the length of 1 rope. So let's find the length of 4 ropes. R -> 46 cm 4R -> 46 x 4 = 184 cm
  • 19. Multiplication & Division Problem Sums The total length of 4 ropes and 6 strings is 334cm. The length of each rope is 46cm. Find the length of each string. Extract Info: 4R + 6S = 334 (Total length) R = 46 We know the length of 1 rope. So let's find the length of 4 ropes. R -> 46 cm 4R -> 46 x 4 = 184 cm Length of 6 strings -> Total length – 4R -> 334 – 184 -> 150 cm
  • 20. Multiplication & Division Problem Sums The total length of 4 ropes and 6 strings is 334cm. The length of each rope is 46cm. Find the length of each string. Extract Info: 4R + 6S = 334 (Total length) R = 46 We know the length of 1 rope. So let's find the length of 4 ropes. R -> 46 cm 4R -> 46 x 4 = 184 cm Length of 6 strings -> Total length – 4R -> 334 – 184 -> 150 cm Length of 1 string -> 150 ÷ 6 = 25 cm
  • 21. Multiplication & Division Problem Sums The total mass of 3 watermelons and 8 mangoes is 76kg. Each watermelon weighs 12kg. Find the mass of each mango. Extract Info: 3W + 8M = 76 (Total mass) W = 12 We know the mass of 1 watermelon. So let's find the mass of 3 watermelons.
  • 22. Multiplication & Division Problem Sums The total mass of 3 watermelons and 8 mangoes is 76kg. Each watermelon weighs 12kg. Find the mass of each mango. Extract Info: 3W + 8M = 76 (Total mass) W = 12 We know the mass of 1 watermelon. So let's find the mass of 3 watermelons. W -> 12 kg 3W -> x = Mass of 8 mangoes -> Total mass – 3W Mass of 1 mango -> Mass of 8 mangoes ÷ 8 =