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SQA Higher Mathematics Area 1 Expressions and Functions overview quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. A line makes an angle of 45∘45^\circ with the positive direction of the x-axis. What is its gradient?

  2. Two lines are perpendicular. If one has gradient 23\tfrac{2}{3}, what is the gradient of the other?

  3. Given f(x)=x2f(x) = x^2 and g(x)=x+3g(x) = x + 3, what is f(g(x))f(g(x))?

  4. The graph of y=fβˆ’1(x)y = f^{-1}(x) is the reflection of y=f(x)y = f(x) in which line?

  5. Which transformation maps y=f(x)y = f(x) onto y=f(x+2)y = f(x + 2)?

  6. What is the exact value of sin⁑60∘\sin 60^\circ?

  7. What is the period of y=sin⁑(4x)y = \sin(4x) in radians?

  8. Using the laws of logarithms, log⁑ax3\log_a x^3 is equal to which of these?

  9. A law y=kxny = kx^n is straightened by plotting which pair of axes?

  10. What is the magnitude of the vector (263)\begin{pmatrix} 2 \\ 6 \\ 3 \end{pmatrix}?

  11. Two non-zero vectors have a scalar product of 00. What does this tell you?

  12. What is the gradient of the line joining (1,2)(1, 2) and (4,11)(4, 11)?