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

Questions

1. 1. Match each expression to its simplified form.

   • x² × x⁴
   • x³ × x⁵
   • x⁷ × x²
   • x × x²

   • x⁸
   • x³
   • x⁶
   • x⁹
   Check

2. 2. Match each expression to its simplified form.

   • x⁴ ÷ x²
   • x⁸ ÷ x⁵
   • x¹⁰ ÷ x⁴
   • x⁹ ÷ x

   • x²
   • x⁸
   • x⁶
   • x³
   Check

3. 3. True or false? y³ × y³ = y⁶

   • True
   • False
   Check

4. 4. True or false? y⁵ × y⁴ = y²⁰

   • True
   • False
   Check

5. 5. True or false? y⁶ ÷ y = y⁵

   • True
   • False
   Check

6. 6. True or false? y⁹ ÷ y³ = y³

   • True
   • False
   Check

7. 7. What number goes in the box? (g⁴)² = g^(4×2) = g^□

   • 2
   • 42
   • 6
   • 8
   Check

8. 8. What number goes in the box? (h⁶)⁵ = h^(6×5) = h^□

   • 11
   • 30
   • 5
   • 65
   Check

9. 9. What number goes in the box? (i³)⁷ = i^(3×7) = i^□

   • 10
   • 37
   • 7
   • 21
   Check

10. 10. What number goes in the box? (j²)¹⁰ = j^(2×10) = j^□

    • 20
    • 210
    • 8
    • 12
    Check

11. 11. Simplify 7x³ + 9x³.

    • 16x⁶
    • 16x⁹
    • 16x³
    • 63x³
    Check

12. 12. Copy and complete. Put a number in each box. 6y⁴ − 2y⁴ = □y^□

    Fill the blanks with these.

    • 8
    • 4
    • 2
    Check

13. 13. Copy and complete. Put a number in each box. 12y⁶ − y⁶ = □y^□

    Fill the blanks with these.

    • 12
    • 7
    • 6
    • 11
    Check

14. 14. Simplify a³ × a⁴.

    • 2a⁷
    • a⁷
    • a¹
    • a¹²
    Check

15. 15. Simplify b⁵ × b⁵.

    • 2b⁵
    • b⁰
    • b²⁵
    • b¹⁰
    Check

16. 16. Simplify c⁷ × c.

    • c⁷
    • c⁸
    • c⁶
    • 2c⁷
    Check

17. 17. Simplify d⁸ ÷ d⁴.

    • d³²
    • d²
    • d⁴
    • d¹²
    Check

18. 18. Simplify e⁶ ÷ e².

    • e³
    • e¹²
    • e⁸
    • e⁴
    Check

19. 19. Simplify f⁸ ÷ f.

    • 8
    • f⁹
    • f⁸
    • f⁷
    Check

20. 20. Simplify (g⁸)⁴.

    • 4g⁸
    • g³²
    • g¹²
    • g²
    Check