Back to the lesson and practice

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Puzzles with two unknowns

5th grade (Year 6 in England) · 16 questions · Common Core: 5.OA.A.2 · England: Y6 Algebra

Name

Date

Score/ 16

  1. Question 1

    a + b = 6, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

  2. Question 2

    a is 3 times b, and a + b = 48. What is b?

    Answer

  3. Question 3

    Two numbers add to 11 and their difference is 9. What is the larger number?

    Answer

  4. Question 4

    a + b = 6, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

  5. Question 5

    a is 2 times b, and a + b = 33. What is b?

    Answer

  6. Question 6

    Two numbers add to 14 and their difference is 4. What is the larger number?

    Answer

  7. Question 7

    a + b = 15, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

  8. Question 8

    a is 4 times b, and a + b = 15. What is b?

    Answer

  9. Question 9

    Two numbers add to 31 and their difference is 1. What is the larger number?

    Answer

  10. Question 10

    a + b = 9, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

  11. Question 11

    a is 3 times b, and a + b = 48. What is b?

    Answer

  12. Question 12

    Two numbers add to 21 and their difference is 11. What is the larger number?

    Answer

  13. Question 13

    a + b = 14, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

  14. Question 14

    a is 3 times b, and a + b = 48. What is b?

    Answer

  15. Question 15

    Two numbers add to 16 and their difference is 2. What is the larger number?

    Answer

  16. Question 16

    a + b = 12, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

    Answer

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. 5
  2. 12
  3. 10
  4. 5
  5. 11
  6. 9
  7. 14
  8. 3
  9. 16
  10. 8
  11. 12
  12. 16
  13. 13
  14. 12
  15. 9
  16. 11