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      Using the fx-CG50 for number and algebra

      Lesson details

      Learning outcome

      I can use the fx-CG50 to perform calculations with numbers and solve equations numerically.

      Key learning points

      1. Some calculators can perform more than just basic calculations.
      2. The fx-CG50 can solve equations graphically and numerically.

      Keywords

      • Equation - An equation is used to show 2 expressions that are equal to each other.

      • Simultaneous equations - Equations which represent different relationships between the same variables are called simultaneous equations.

      Common misconception

      Calculators can only be used to add, subtract, multiply or divide.

      They can be used to perform basic calculations but they can also do so much more.

      Teacher tip

      For more support with using the Casio fx-CG50, please visit the Casio website where there are more free resources to support use of this model.

      Equipment

      Casio fx-CG50

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      An is used to show 2 expressions that are equal to each other.

      Correct Answer: equation

      Q2.
      Equations which represent different relationships between the same variables are called equations.

      Correct Answer: simultaneous

      Q3.
      A is an equation, graph, or sequence whereby the highest exponent of the variable is 2.

      Correct Answer: quadratic

      Q4.
      Equations can only be solved numerically.

      True - you have to rearrange to make the variable the subject.
      True - you have to factorise to solve.
      False - equations can only be solved by guessing.
      Correct answer: False - equations can be solved graphically.

      Q5.
      Solve to find the value for $$a$$ that satisfies $$2a + 7 = 1$$

      Correct Answer: -3

      Q6.
      Solve to find the values of $$x$$ that satisfy the equation $$4x^2 + 20x + 21 = 0$$

      Correct answer: $$\frac{-3}{2}$$
      $$\frac{-5}{2}$$
      Correct answer: $$\frac{-7}{2}$$
      $$\frac{-3}{4}$$
      $$\frac{-5}{4}$$

      6 Questions

      Q1.
      Use your calculator to solve $$a^2 - 12a + 11 = 0$$

      Correct answer: $$a = 1$$ , $$a = 11$$
      $$a = 3$$ , $$a = 4$$
      $$a = -1$$ , $$a = -11$$
      $$a = -3$$ , $$a = -4$$

      Q2.
      Use your calculator to solve $$x^2 + 6x + 8 = 3$$

      Correct answer: $$x = -1$$ , $$x = -5$$
      $$x = -1$$ , $$x = 5$$
      $$x = 1$$ , $$x = -5$$
      $$x = 1$$ , $$x = 5$$

      Q3.
      Use your calculator to solve $$x^2 + 12x - 15 = 4x + 5$$

      $$x = -2$$ , $$x = -10$$
      $$x = -2$$ , $$x = 10$$
      Correct answer: $$x = 2$$ , $$x = -10$$
      $$x = 2$$ , $$x = 10$$

      Q4.
      For the formula $$v = u + at$$, what is the value of $$a$$ when $$v = 20, u = 4$$ and $$t = 4$$?

      Correct Answer: 4

      Q5.
      For the formula $$Q = \frac{f}{s - v}$$, what is the value of $$s$$ when $$v = 5, f = 16\;000$$ and $$Q = 45\;000$$? Give your answer to 2 d.p.

      Correct Answer: 5.36

      Q6.
      For the formula $$A = 2\pi r^2 + 2\pi rh$$, what is the value of $$r$$ when $$A = 756$$ and $$h = 22$$? Give your answer to 2 d.p.

      Correct Answer: 4.53

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