 # Solve Simple Equations With More Than One Possible Answer

In this worksheet, students develop their algebra skills by selecting possible solutions to the given simple equation (more than one possible answer). Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, you must find the possible values for the letters.

All letters stand for positive whole numbers or zero.

Example 1

p + q = 5

The possible values of p and q are: 0 & 5, 1 & 4, 2 & 3, 3 & 2, 4 & 1, 5 & 0.

Example 2

pq = 12

Remember that pq means p x q.

The possible values of p and q are: 1 & 12, 2 & 6, 3 & 4, 4 & 3, 6 & 2, 12 & 1.

Solve the following equation, where p and q are whole numbers or zero.

p + q = 4

Tick all the correct solutions.

p = 1, q = 4

p = 0, q = 4

p = 1, q = 3

p = 3, q = 1

p = 2, q = 2

p = 4, q = 1

p = 4, q = 0

Solve the following equation, where p and q are whole numbers or zero.

p + q = 6

Tick all the correct solutions.

p = 1, q = 5

p = 0, q = 6

p = 1, q = 6

p = 3, q = 3

p = 2, q = 4

p = 4, q = 2

p = 5, q = 1

Solve the following equation, where p and q are whole numbers or zero.

pq = 6

Tick all the correct solutions.

p = 1, q = 5

p = 1, q = 6

p = 0, q = 6

p = 2, q = 3

p = 2, q = 4

p = 3, q = 2

p = 6, q = 1

Solve the following equation, where p and q are whole numbers or zero.

pq = 13

Tick all the correct solutions.

p = 1, q = 3

p = 1, q = 12

p = 0, q = 13

p = 1, q = 13

p = 13, q = 1

p = 10, q = 3

p = 6, q = 7

Solve the following equation, where p and q are whole numbers or zero.

p + q = 5

Tick all the correct solutions.

p = 1, q = 5

p = 0, q = 5

p = 1, q = 4

p = 3, q = 2

p = 2, q = 3

p = 4, q = 2

p = 5, q = 0

Solve the following equation, where p and q are whole numbers or zero.

p + q = 7

Tick all the correct solutions.

p = 1, q = 6

p = 0, q = 7

p = 1, q = 8

p = 3, q = 4

p = 4, q = 3

p = 5, q = 2

p = 5, q = 0

Solve the following equation, where p and q are whole numbers or zero.

pq = 17

Tick all the correct solutions.

p = 1, q = 7

p = 1, q = 16

p = 0, q = 17

p = 1, q = 17

p = 16, q = 1

p = 10, q = 7

p = 17, q = 1

Solve the following equation, where p and q are whole numbers or zero.

pq = 15

Tick all the correct solutions.

p = 1, q = 5

p = 1, q = 15

p = 0, q = 15

p = 3, q = 5

p = 5, q = 3

p = 10, q = 5

p = 15, q = 1

Solve the following equation, where p and q are whole numbers or zero.

pq = 10

Tick all the correct solutions.

p = 1, q = 0

p = 1, q = 10

p = 2, q = 5

p = 5, q = 2

p = 10, q = 1

p = 10, q = 0

p = 5, q = 5

Solve the following equation, where p and q are whole numbers or zero.

p + q = 8

Tick all the correct solutions.

p = 1, q = 7

p = 0, q = 8

p = 1, q = 6

p = 3, q = 5

p = 2, q = 6

p = 6, q = 2

p = 5, q = 3

• Question 1

Solve the following equation, where p and q are whole numbers or zero.

p + q = 4

Tick all the correct solutions.

p = 0, q = 4
p = 1, q = 3
p = 3, q = 1
p = 2, q = 2
p = 4, q = 0
• Question 2

Solve the following equation, where p and q are whole numbers or zero.

p + q = 6

Tick all the correct solutions.

p = 1, q = 5
p = 0, q = 6
p = 3, q = 3
p = 2, q = 4
p = 4, q = 2
p = 5, q = 1
• Question 3

Solve the following equation, where p and q are whole numbers or zero.

pq = 6

Tick all the correct solutions.

p = 1, q = 6
p = 2, q = 3
p = 3, q = 2
p = 6, q = 1
• Question 4

Solve the following equation, where p and q are whole numbers or zero.

pq = 13

Tick all the correct solutions.

p = 1, q = 13
p = 13, q = 1
• Question 5

Solve the following equation, where p and q are whole numbers or zero.

p + q = 5

Tick all the correct solutions.

p = 0, q = 5
p = 1, q = 4
p = 3, q = 2
p = 2, q = 3
p = 5, q = 0
• Question 6

Solve the following equation, where p and q are whole numbers or zero.

p + q = 7

Tick all the correct solutions.

p = 1, q = 6
p = 0, q = 7
p = 3, q = 4
p = 4, q = 3
p = 5, q = 2
• Question 7

Solve the following equation, where p and q are whole numbers or zero.

pq = 17

Tick all the correct solutions.

p = 1, q = 17
p = 17, q = 1
• Question 8

Solve the following equation, where p and q are whole numbers or zero.

pq = 15

Tick all the correct solutions.

p = 1, q = 15
p = 3, q = 5
p = 5, q = 3
p = 15, q = 1
• Question 9

Solve the following equation, where p and q are whole numbers or zero.

pq = 10

Tick all the correct solutions.

p = 1, q = 10
p = 2, q = 5
p = 5, q = 2
p = 10, q = 1
• Question 10

Solve the following equation, where p and q are whole numbers or zero.

p + q = 8

Tick all the correct solutions.

p = 1, q = 7
p = 0, q = 8
p = 3, q = 5
p = 2, q = 6
p = 6, q = 2
p = 5, q = 3
---- OR ----

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