Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(4 - -6\right)\left(-1 - -5\right) - {\left(2 + 1\right)}^{2} $$
Correct Answer
$$ 31$$ or 31.0000

2. Simplify 2

Simplify the following expression: $$ \left({4}^{-4} - 4(-3)\right)2\left(-4 - 1\right) $$
Correct Answer
$$ \frac{-15365}{128}$$ or -120.039

3. Fractions 1

Simplify the following expression: $$ \frac{-1}{2} + \frac{-4}{6} $$
Correct Answer
$$ \frac{-7}{6}$$ or -1.1666666666666665

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{5}{6}}{\frac{-3}{5}} $$
Correct Answer
$$ \frac{-25}{18}$$ or -1.388888888888889

5. Significant figures

1. Write the following to 2 significant figures: 0.000031906378
Correct Answer
0.000032 or $$3.2\times10^{-5}$$
2. Write the following to 5 significant figures: 0.0011079390
Correct Answer
0.0011079 or $$1.1079\times10^{-3}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 2028130
Correct Answer
$$2.03\times10^{6}$$
2. Write the following in standard form to 5 significant digits: 574780
Correct Answer
$$5.7478\times10^{5}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 15.3447
Correct Answer
$$15.345\times10^{0}$$
2. Write the following in preferred standard form to 4 significant digits: 0.0239266
Correct Answer
$$23.93\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-1 - 1\right)}^{2} + \frac{-5}{-2}\left(-5 - -1\right) $$
Correct Answer
$$ -6$$ or -6.00000

9. Simplify 1

Simplify the following expression: $$ \left(-2 - 1\right)\left(-1 - 4\right) - {\left(5 - 6\right)}^{2} $$
Correct Answer
$$ 14$$ or 14.0000

10. Simplify 2

Simplify the following expression: $$ \frac{5}{6}\left(-5 + -5\right) - {\left(3 - -2\right)}^{2} $$
Correct Answer
$$ \frac{-100}{3}$$ or -33.3333


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