Using a Calculator (Edexcel GCSE Maths: Higher): Exam Questions

Calculate the value of $\sqrt{\frac{\tan {60}^{\circ }+1}{\tan {60}^{\circ }-1}}$

Write down all the figures on your calculator display.
You must give your answer as a decimal.

Use your calculator to work out   $\frac{\sqrt{70.25}}{4.2-2.37}$

Write down all the figures on your calculator display
You must give your answer as a decimal.

Write your answer to part (a) correct to 4 decimal places.

Use your calculator to work out $\frac{1.{45}^2}{3.89-\sqrt{5.75}}$

Write down all the figures on your calculator display.
You must give your answer as a decimal.

Use your calculator to work out   $\sqrt{\frac{\sin {25}^{\circ }+\sin {40}^{\circ }}{\cos {25}^{\circ }-\cos {40}^{\circ }}}$

Write down all the figures on your calculator display.

Write your answer to part (a) correct to $2$ decimal places.

Work out $\frac{5.6\times {10}^4+7\times {10}^3}{2.8\times {10}^{-3}}$

Give your answer in standard form.

Work out  $\frac{3\times {10}^5-2.7\times {10}^4}{6\times {10}^{-2}}$

An approximation for the value of $\pi$ is given by

$4\left(1-\frac{22}{57}+\frac{22}{85}-\frac{22}{105}+\frac{22}{117}-\frac{22}{242}\right)$

Use your calculator to show that this approximation is within 0.1 of 3.14

Work out   $\frac{3.2\times {10}^3+5.1\times {10}^{-2}}{4.3\times {10}^{-4}}$

Give your answer in standard form, correct to 3 significant figures.

Find the reciprocal of $2.5$

Work out    $\sqrt[3]{\frac{4.3\times \tan {39}^{\circ }}{23.4-6.06}}$

Give your answer correct to $3$ significant figures.

i) Find the value of $\sqrt[5]{3.2\times {10}^{11}}$

[1]

ii) Find the value of ${10}^{\frac{3}{4}}$
Give your answer correct to $1$ decimal place.

[1]

Work out                          $\sqrt{\frac{2.5\times \sin {43}^{\circ }}{8.2^2-50.5}}$

Give your answer correct to $3$ significant figures.

Use your calculator to work out $19.{42}^2–\sqrt[3]{1006}÷4.95$

Write down your full calculator display.

Use approximations to check that your answer to part (a) is sensible.

You must show your working.

Use your calculator to work out $\frac{{29}^2-4.6}{\sqrt{35-1.9^3}}$

Write down all the figures on your calculator display.

Write your answer to part (a) correct to 4 significant figures.

Use the formula  $x_{n+1}=\sqrt[3]{10-2x_n}$  to find the values of $x_1$, $x_2$ and $x_3$ to 3 decimal places
Start with $x_0=2$

$x_1=.....$. 
    $x_2=.....$.
      $x_3=.....$