Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\times2(-4) - \left(-3(-6) + 5 - 2\right) $$
Correct Answer
$$ -37$$ or -37.0000

2. Simplify 2

Simplify the following expression: $$ 2(-4)(-4)\left({2}^{6} + 3 - 2\right) $$
Correct Answer
$$ 2080$$ or 2080.00

3. Fractions 1

Simplify the following expression: $$ \frac{6}{4} + \frac{2}{3} $$
Correct Answer
$$ \frac{13}{6}$$ or 2.1666666666666665

4. Fractions 2

Simplify the following expression: $$ \frac{-2}{3}\frac{-1}{5} $$
Correct Answer
$$ \frac{2}{15}$$ or 0.13333333333333333

5. Significant figures

1. Write the following to 5 significant figures: 0.00015330561
Correct Answer
0.00015331 or $$1.5331\times10^{-4}$$
2. Write the following to 3 significant figures: 3513.9051
Correct Answer
3510 or $$3.51\times10^{3}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 2049.26
Correct Answer
$$2.0493\times10^{3}$$
2. Write the following in standard form to 2 significant digits: 0.000482087
Correct Answer
$$4.8\times10^{-4}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.00181
Correct Answer
$$1.8\times10^{-3}$$
2. Write the following in preferred standard form to 3 significant digits: 0.00050574
Correct Answer
$$506\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2(-5)(-2)}{{\left(3 - -5\right)}^{\frac{3}{5}}} $$
Correct Answer
$$ \frac{20}{{8}^{\frac{3}{5}}}$$ or 5.74349

9. Simplify 1

Simplify the following expression: $$ \left(-3\times5 - \left(-1 + 3\right)\right)2(-2)5 $$
Correct Answer
$$ 340$$ or 340.000

10. Simplify 2

Simplify the following expression: $$ 2\times2(-6)\left(-6 - 3 + 2 + 4\right) $$
Correct Answer
$$ 72$$ or 72.0000


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