Maths Exam

1. Simplify 1

Simplify the following expression: $$ 6 + 5 - {1}^{2} + {\left(-2 + 2\right)}^{2} $$
Correct Answer
$$ 10$$ or 10.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2(-5)1}{2(-5) + 1 - 5} $$
Correct Answer
$$ \frac{5}{7}$$ or 0.714286

3. Fractions 1

Simplify the following expression: $$ \frac{5}{2} + \frac{-4}{5} $$
Correct Answer
$$ \frac{17}{10}$$ or 1.7

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{5}{3}}{\frac{-3}{6}} $$
Correct Answer
$$ \frac{-10}{3}$$ or -3.3333333333333335

5. Significant figures

1. Write the following to 2 significant figures: 0.000084637896
Correct Answer
0.000085 or $$8.5\times10^{-5}$$
2. Write the following to 4 significant figures: 115.30827
Correct Answer
115.3 or $$1.153\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 107.436
Correct Answer
$$1.0744\times10^{2}$$
2. Write the following in standard form to 2 significant digits: 0.000369219
Correct Answer
$$3.7\times10^{-4}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.01122
Correct Answer
$$11\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.000000535512
Correct Answer
$$535.51\times10^{-9}$$

8. Simplify 2

Simplify the following expression: $$ 2\times1(-1)\left((-1) + \frac{-2}{2}\right) $$
Correct Answer
$$ 4$$ or 4.00000

9. Simplify 1

Simplify the following expression: $$ \left(-3\times5 - 3(-4)\right)2\left(-5 - 6\right) $$
Correct Answer
$$ 66$$ or 66.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2{(-5)}^{4}}{{\left(4 - 1\right)}^{\frac{-2}{-5}}} $$
Correct Answer
$$ \frac{1250}{{3}^{\frac{2}{5}}}$$ or 805.493


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