Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-4 - 1\right)\left(2 - 6\right) - {\left(5 + 2\right)}^{2} $$
Correct Answer
$$ -29$$ or -29.0000

2. Simplify 2

Simplify the following expression: $$ {\left(\frac{6}{3}\right)}^{2} + \frac{-4 + 4}{-5 + 5} $$
Correct Answer
$$ \frac{0}{0}$$ or NaN

3. Fractions 1

Simplify the following expression: $$ \frac{4}{2} - \frac{2}{3} $$
Correct Answer
$$ \frac{4}{3}$$ or 1.3333333333333335

4. Fractions 2

Simplify the following expression: $$ \frac{6}{3}\frac{3}{2} $$
Correct Answer
$$ 3$$ or 3.0

5. Significant figures

1. Write the following to 4 significant figures: 3.4950310
Correct Answer
3.495 or $$3.495\times10^{0}$$
2. Write the following to 2 significant figures: 1.5588760
Correct Answer
1.6 or $$1.6\times10^{0}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.0000268708
Correct Answer
$$2.6871\times10^{-5}$$
2. Write the following in standard form to 3 significant digits: 25.9647
Correct Answer
$$2.60\times10^{1}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.0511930
Correct Answer
$$51.193\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.0007240584
Correct Answer
$$724.06\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ {\left(\frac{-2}{6}\right)}^{2} - \frac{2 - -1}{6 + 6} $$
Correct Answer
$$ \frac{-5}{36}$$ or -0.138889

9. Simplify 1

Simplify the following expression: $$ {\left(6 - 6\right)}^{2} - \left(-3\times3 + -4 - 6\right) $$
Correct Answer
$$ 19$$ or 19.0000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(2 - -2\right)}^{2}}{-2(-6) - \left(6 + 3\right)} $$
Correct Answer
$$ \frac{16}{3}$$ or 5.33333


Other Articles:

Saturn's rings

A simulation of Saturn's rings --- a few thousand particles are simulated, in a repeating tiled region. You use the mouse and keys to fly in it.

BodyWorks: Kinematics Tool

A page with a javascript application where you can set body positions, calculate joint angles and animate human motion.

Quantum Mechanics

A no-nonsense description of quantum mechanics with no maths or philosophy. The concepts are explained with animations, which are mainly computer simulations of electrons.




© Hugo2015. Session @sessionNumber