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Celeste International School

Grade 6 Β· Worksheet

Expressions, formulae and equations

Constructing expressions

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    Sofia has n counters and puts in 2 more. Write an expression for how many she has now.

    1. An + 2
    2. Bn βˆ’ 2
    3. C2n
  2. 2.

    Write a Γ· 2 as simply as possible.

    1. Aa/2
    2. B2a
    3. Ca βˆ’ 2
  3. 3.

    Ana is m years old. Her sister is 8 years younger. How old is her sister?

    1. Am βˆ’ 8
    2. Bm + 8
    3. Cm/8
  4. 4.

    A taxi charges Β£2 plus Β£2 for every mile. Write the cost of m miles.

    1. A2 + 2m
    2. B2m + 2
    3. C4m
  5. 5.

    If y = 7, what is the value of 5y?

  6. 6.

    Sofia has y counters and takes out 5. Write an expression for how many are left.

    1. Ay + 5
    2. By βˆ’ 5
    3. C5 βˆ’ y
  7. 7.

    Write b Γ· 2 as simply as possible.

    1. A2b
    2. Bb/2
    3. Cb βˆ’ 2
  8. 8.

    Ana is t years old. Her cousin is 5 times as old. How old is the cousin?

    1. At + 5
    2. B5t
    3. Ct/5
  9. 9.

    If x = 4, what is the value of x + 2?

  10. 10.

    y3 is the correct way to write 3 Γ— y.

    True False
  11. 11.

    A number b is multiplied by 7. Write this as simply as possible.

    1. Ab7
    2. Bb + 7
    3. C7b
  12. 12.

    Ana is p years old. Her brother is 9 years older. How old is her brother?

    1. Ap βˆ’ 9
    2. B9p
    3. Cp + 9
  13. 13.

    Ana is x years old. Her baby brother is half her age. How old is he?

    1. A2x
    2. Bx βˆ’ 2
    3. Cx/2
  14. 14.

    If b = 3, what is the value of 4b?

  15. 15.

    Sofia has a counters and puts in 8 more. Write an expression for how many she has now.

    1. Aa + 8
    2. Ba βˆ’ 8
    3. C8a
  16. 16.

    Write p Γ· 2 as simply as possible.

    1. Ap/2
    2. B2p
    3. Cp βˆ’ 2
  17. 17.

    Ana is n years old. Her sister is 5 years younger. How old is her sister?

    1. An βˆ’ 5
    2. Bn + 5
    3. Cn/5
  18. 18.

    A taxi charges Β£3 plus Β£4 for every mile. Write the cost of m miles.

    1. A3 + 4m
    2. B3m + 4
    3. C7m
  19. 19.

    If m = 4, what is the value of 2m?

  20. 20.

    Sofia has m counters and takes out 6. Write an expression for how many are left.

    1. Am + 6
    2. Bm βˆ’ 6
    3. C6 βˆ’ m
Celeste International School

Answer key

Expressions, formulae and equations β€” Constructing expressions

  1. 1.A. n + 2
  2. 2.A. a/2
  3. 3.A. m βˆ’ 8
  4. 4.A. 2 + 2m
  5. 5.35
  6. 6.B. y βˆ’ 5
  7. 7.B. b/2
  8. 8.B. 5t
  9. 9.6
  10. 10.False
  11. 11.C. 7b
  12. 12.C. p + 9
  13. 13.C. x/2
  14. 14.12
  15. 15.A. a + 8
  16. 16.A. p/2
  17. 17.A. n βˆ’ 5
  18. 18.A. 3 + 4m
  19. 19.8
  20. 20.B. m βˆ’ 6