Puzzles with two unknowns
5th grade (Year 6 in England) · 16 questions · Common Core: 5.OA.A.2 · England: Y6 Algebra
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Question 1
a + b = 14, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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Question 2
a is 4 times b, and a + b = 35. What is b?
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Question 3
Two numbers add to 17 and their difference is 5. What is the larger number?
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Question 4
a + b = 11, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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Question 5
a is 2 times b, and a + b = 27. What is b?
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Question 6
Two numbers add to 24 and their difference is 14. What is the larger number?
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Question 7
a + b = 7, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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Question 8
a is 5 times b, and a + b = 72. What is b?
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Question 9
Two numbers add to 13 and their difference is 11. What is the larger number?
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Question 10
a + b = 7, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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Question 11
a is 5 times b, and a + b = 66. What is b?
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Question 12
Two numbers add to 9 and their difference is 5. What is the larger number?
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Question 13
a + b = 10, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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Question 14
a is 5 times b, and a + b = 60. What is b?
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Question 15
Two numbers add to 35 and their difference is 1. What is the larger number?
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Question 16
a + b = 8, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?
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