Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-6(-3) + 3 - 6\right)2(-5)(-3) $$
Correct Answer
$$ 450$$ or 450.000

2. Simplify 2

Simplify the following expression: $$ 2\times4(-1)\left(5 + 4 - \left(4 + 4\right)\right) $$
Correct Answer
$$ -8$$ or -8.00000

3. Fractions 1

Simplify the following expression: $$ \frac{6}{6} + \frac{-2}{3} $$
Correct Answer
$$ \frac{1}{3}$$ or 0.33333333333333337

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{6}{5}}{\frac{-4}{6}} $$
Correct Answer
$$ \frac{-9}{5}$$ or -1.8

5. Significant figures

1. Write the following to 3 significant figures: 0.98211539
Correct Answer
0.982 or $$9.82\times10^{-1}$$
2. Write the following to 5 significant figures: 0.11488762
Correct Answer
0.11489 or $$1.1489\times10^{-1}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.0105471
Correct Answer
$$1.0547\times10^{-2}$$
2. Write the following in standard form to 2 significant digits: 71.8278
Correct Answer
$$7.2\times10^{1}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.00445
Correct Answer
$$4.5\times10^{-3}$$
2. Write the following in preferred standard form to 5 significant digits: 1681.020
Correct Answer
$$1.6810\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{4 + 1}{-6 - 4} + {\left(\frac{2}{-3}\right)}^{2} $$
Correct Answer
$$ \frac{-1}{18}$$ or -0.0555556

9. Simplify 1

Simplify the following expression: $$ \left(1 - -4\right)\left(2 - 6\right) + {\left(5 - 1\right)}^{2} $$
Correct Answer
$$ -4$$ or -4.00000

10. Simplify 2

Simplify the following expression: $$ \frac{2(-6)6}{\frac{1}{-3} - \frac{-4}{-6}} $$
Correct Answer
$$ 72$$ or 72.0000


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