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SQA National 5 Mathematics Area 1 Expressions and Formulae overview quiz quiz

15questions. Pick an answer and you'll see why right away.

  1. Simplify 32\sqrt{32}.

  2. Rationalise the denominator of 126\dfrac{12}{\sqrt{6}}.

  3. Evaluate 82/38^{2/3}.

  4. Write 4 500 0004\,500\,000 in scientific notation.

  5. Calculate (2Γ—103)Γ—(4Γ—104)(2 \times 10^3) \times (4 \times 10^4) in scientific notation.

  6. Expand and simplify (x+5)(xβˆ’2)(x + 5)(x - 2).

  7. Factorise fully 5x2βˆ’205x^2 - 20.

  8. Factorise x2+2xβˆ’15x^2 + 2x - 15.

  9. Express x2+8x+3x^2 + 8x + 3 in the form (x+p)2+q(x + p)^2 + q.

  10. Simplify x2βˆ’16x+4\dfrac{x^2 - 16}{x + 4}.

  11. Express 1x+13\dfrac{1}{x} + \dfrac{1}{3} as a single fraction.

  12. Find the gradient of the line through (1,4)(1, 4) and (5,16)(5, 16).

  13. What is the gradient of a vertical line?

  14. Find the area of a sector of radius 66 cm and angle 90∘90^\circ, in terms of Ο€\pi.

  15. Find the volume of a sphere of radius 33 cm, in terms of Ο€\pi.