Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(4 - 1 + -1 - 4\right)2(-4)4 $$
Correct Answer
$$ 64$$ or 64.0000

2. Simplify 2

Simplify the following expression: $$ 2\times5\times5\left(-1 - 2 + \frac{4}{1}\right) $$
Correct Answer
$$ 50$$ or 50.0000

3. Fractions 1

Simplify the following expression: $$ \frac{-5}{2} + \frac{-5}{4} $$
Correct Answer
$$ \frac{-15}{4}$$ or -3.75

4. Fractions 2

Simplify the following expression: $$ \frac{-4}{6}\frac{-2}{5} $$
Correct Answer
$$ \frac{4}{15}$$ or 0.26666666666666666

5. Significant figures

1. Write the following to 3 significant figures: 1702.4746
Correct Answer
1700 or $$1.70\times10^{3}$$
2. Write the following to 4 significant figures: 166.60112
Correct Answer
166.6 or $$1.666\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 711.935
Correct Answer
$$7.119\times10^{2}$$
2. Write the following in standard form to 2 significant digits: 0.0000276580
Correct Answer
$$2.8\times10^{-5}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 0.03287
Correct Answer
$$32.9\times10^{-3}$$
2. Write the following in preferred standard form to 3 significant digits: 0.0007440
Correct Answer
$$744\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ 2\frac{1}{6}\left(-1 - -2 + -2 - -4\right) $$
Correct Answer
$$ 1$$ or 1.00000

9. Simplify 1

Simplify the following expression: $$ \left(5 + -6 - 2\times3\right)2\times6\times5 $$
Correct Answer
$$ -420$$ or -420.000

10. Simplify 2

Simplify the following expression: $$ \left(-3 - 4 + 5 - 6\right)2\times6(-1) $$
Correct Answer
$$ 96$$ or 96.0000


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