Math 9 · Unit 2: Expressions and formulae · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. Work out 23 × 34 using a multiplication grid (20 + 3 by 30 + 4).

   • 6912
   • 782
   • 57
   • 692
   Check

2. 2. Complete the multiplication grid for 18 × 42 (10 + 8 by 40 + 2).

   Fill the blanks with these.

   • 32
   • 20
   • 320
   • 16
   • 200
   Check

3. 3. Use a multiplication grid to expand these brackets. Fill in the empty cells. (x + 2)(x + 3)

   Fill the blanks with these.

   • x²
   • +2x
   • +6
   • +5x
   • +3x
   • +5
   Check

4. 4. Use a multiplication grid to expand these brackets. Fill in the empty cells. (x + 1)(x + 4)

   Fill the blanks with these.

   • +x
   • +4
   • +5x
   • +4x
   • +5
   Check

5. 5. Use a multiplication grid to expand these brackets. Fill in the empty cells. (x + 5)(x + 6)

   Fill the blanks with these.

   • +30
   • +5x
   • +6x
   • +11x
   • +11
   Check

6. 6. Use a multiplication grid to expand these brackets. Fill in the empty cells. (x + 3)(x + 9)

   Fill the blanks with these.

   • +3x
   • +12
   • x²
   • +27
   • +9x
   • +12x
   Check

7. 7. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x + 5)(x − 3)

   Fill the blanks with these.

   • −15
   • x²
   • +2x
   • +5x
   • +15
   • −3x
   Check

8. 8. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x + 6)(x − 2)

   Fill the blanks with these.

   • −12
   • −2x
   • +12
   • +4x
   • +6x
   Check

9. 9. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x − 7)(x + 4)

   Fill the blanks with these.

   • +28
   • −3x
   • +4x
   • −7x
   • −28
   Check

10. 10. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x − 8)(x + 2)

    Fill the blanks with these.

    • −6x
    • +2x
    • −16
    • x²
    • +16
    • −8x
    Check

11. 11. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x − 1)(x − 3)

    Fill the blanks with these.

    • −3x
    • x²
    • +3
    • −3
    • −1x
    • −4x
    Check

12. 12. Use a multiplication grid to expand these brackets. Take care with the minus signs. Fill in the empty cells. (x − 4)(x − 8)

    Fill the blanks with these.

    • −4x
    • +32
    • x²
    • −12x
    • −32
    • −8x
    Check

13. 13. Look at the arc method and the multiplication grid method for (x + 8)(x − 4). What do the two methods have in common?

    • The two brackets are added, not multiplied
    • They give different answers
    • Each term in one bracket is multiplied by each term in the other bracket
    • Only the x terms are multiplied
    Check

14. 14. Expand and simplify (x + 5)(x + 2).

    • x² + 7x + 10
    • x² + 10
    • x² + 7x + 7
    • x² + 10x + 7
    Check

15. 15. Expand and simplify (x + 4)(x − 2).

    • x² + 2x − 8
    • x² + 6x − 8
    • x² + 2x + 8
    • x² − 2x − 8
    Check

16. 16. Expand and simplify (x − 6)(x + 3).

    • x² − 9x − 18
    • x² − 3x + 18
    • x² − 3x − 18
    • x² + 3x − 18
    Check

17. 17. Expand and simplify (x − 3)(x − 3).

    • x² − 9
    • x² + 9
    • x² − 6x − 9
    • x² − 6x + 9
    Check

18. 18. Expand and simplify (x + 5)(x + 10).

    • x² + 15x + 50
    • x² + 50x + 15
    • x² + 50
    • x² + 15x + 15
    Check

19. 19. Expand and simplify (x − 5)(x − 8).

    • x² − 13x + 40
    • x² − 3x + 40
    • x² − 13x − 40
    • x² + 13x + 40
    Check

20. 20. Expand and simplify (x − 5)(x + 10).

    • x² + 5x + 50
    • x² − 5x − 50
    • x² + 15x − 50
    • x² + 5x − 50
    Check