Math 8 · Unit 2: Expressions, formulae and equations · Cambridge Lower Secondary Maths Stage 8

Questions

1. 1. Factorise 6x + 9.

   • 6(x + 9)
   • 3(2x + 9)
   • 3(2x + 3)
   • 2(3x + 9)
   Check

2. 2. Factorise fully 12a − 8.

   • 12(a − 8)
   • 4(3a − 2)
   • 2(6a − 8)
   • 4(3a − 8)
   Check

3. 3. Factorise x² + 5x.

   • 5(x² + x)
   • x(x + 5)
   • x(x + 5x)
   • x²(1 + 5)
   Check

4. 4. Factorise fully 10xy + 15x.

   • 5(2xy + 3x)
   • 5x(2y + 3)
   • 5x(2y + 15)
   • x(10y + 15)
   Check

5. 5. Factorise 7m − 7.

   • 7(m − 7)
   • 7m(1 − 1)
   • 7(m − 1)
   • m(7 − 7)
   Check

6. 6. Factorise fully 4y² − 6y.

   • 2(2y² − 3y)
   • 2y(2y − 6)
   • 2y(2y − 3)
   • y(4y − 6)
   Check

7. 7. Which is fully factorised?

   • 3(2x + 4)
   • 2(3x + 6)
   • 6(x + 2)
   • 1(6x + 12)
   Check

8. 8. Factorise fully 8 + 20n.

   • 8(1 + 20n)
   • 2(4 + 10n)
   • 4(2 + 20n)
   • 4(2 + 5n)
   Check

9. 9. Factorise ab + ac.

   • b(a + c)
   • ab(1 + c)
   • a(bc)
   • a(b + c)
   Check

10. 10. Factorise fully 9p² + 3p.

    • p(9p + 3)
    • 3(3p² + p)
    • 3p(3p)
    • 3p(3p + 1)
    Check

11. 11. Check: does 5(x − 4) expand to 5x − 20?

    • Yes
    • No
    Check

12. 12. Factorise 14k − 21.

    • 7(2k − 3)
    • 14(k − 21)
    • 2(7k − 21)
    • 7(2k − 21)
    Check

13. 13. Factorise fully x³ + x².

    • x(x + 1)
    • x²(x + x)
    • x³(1 + x)
    • x²(x + 1)
    Check

14. 14. Factorise −4x − 12.

    • −4(x + 3)
    • 4(x + 3)
    • −4(x − 3)
    • −4(x − 12)
    Check

15. 15. Factorise fully 18a + 12b + 6.

    • 6(3a + 2b + 1)
    • 6(3a + 2b)
    • 3(6a + 4b + 2)
    • 2(9a + 6b + 3)
    Check