Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(6 + -1\right)}^{2} - \left(-2 + 3\right)\left(-2 - -2\right) $$
Correct Answer
$$ 25$$ or 25.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\left(-3 - -3\right)}{\frac{-6}{-6} - \left(-1 + -3\right)} $$
Correct Answer
$$ 0$$ or 0.0

3. Fractions 1

Simplify the following expression: $$ \frac{-6}{2} + \frac{4}{5} $$
Correct Answer
$$ \frac{-11}{5}$$ or -2.2

4. Fractions 2

Simplify the following expression: $$ \frac{-1}{6}\frac{-3}{5} $$
Correct Answer
$$ \frac{1}{10}$$ or 0.09999999999999999

5. Significant figures

1. Write the following to 3 significant figures: 0.000044316066
Correct Answer
0.0000443 or $$4.43\times10^{-5}$$
2. Write the following to 3 significant figures: 0.000025465662
Correct Answer
0.0000255 or $$2.55\times10^{-5}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.0000000298956
Correct Answer
$$2.990\times10^{-8}$$
2. Write the following in standard form to 2 significant digits: 1106980
Correct Answer
$$1.1\times10^{6}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 0.00000103202
Correct Answer
$$1.032\times10^{-6}$$
2. Write the following in preferred standard form to 5 significant digits: 0.121094
Correct Answer
$$121.09\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(\frac{3}{-5}\right)}^{\left(5 + -1\right)} - {\left(-2 - 1\right)}^{2} $$
Correct Answer
$$ {\left(\frac{3}{5}\right)}^{4} - 9$$ or -8.87040

9. Simplify 1

Simplify the following expression: $$ -1 - 4 + 4 - 4 - 2\times1\times6 $$
Correct Answer
$$ -17$$ or -17.0000

10. Simplify 2

Simplify the following expression: $$ 2(-2)(-4)\left(\frac{2}{-5} + \frac{5}{4}\right) $$
Correct Answer
$$ \frac{68}{5}$$ or 13.6000


Other Articles:

German Gender and Case Game

Generating Plant-like Structures Using Neural Networks

Atmosphere

A simple demo of a simulation of an atmosphere. It looks quite cool, but there's not a lot you can do with it yet, and the physics isn't yet all that accurate.




© Hugo2015. Session @sessionNumber