Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(1(-4) + 4\times5\right)2\times1(-1) $$
Correct Answer
$$ -32$$ or -32.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times6\times2}{\left(5 + 4\right)\frac{3}{4}} $$
Correct Answer
$$ \frac{32}{9}$$ or 3.55556

3. Fractions 1

Simplify the following expression: $$ \frac{6}{5} + \frac{1}{3} $$
Correct Answer
$$ \frac{23}{15}$$ or 1.5333333333333332

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{5}{5}}{\frac{-5}{2}} $$
Correct Answer
$$ \frac{-2}{5}$$ or -0.4

5. Significant figures

1. Write the following to 5 significant figures: 0.0010280562
Correct Answer
0.0010281 or $$1.0281\times10^{-3}$$
2. Write the following to 4 significant figures: 89.923756
Correct Answer
89.92 or $$8.992\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 9.24121
Correct Answer
$$9.241\times10^{0}$$
2. Write the following in standard form to 3 significant digits: 0.140701
Correct Answer
$$1.41\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 0.01883
Correct Answer
$$18.8\times10^{-3}$$
2. Write the following in preferred standard form to 4 significant digits: 8488.68
Correct Answer
$$8.489\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ 2\times5(-4) - \frac{(-(-5))}{6 - -3} $$
Correct Answer
$$ \frac{-365}{9}$$ or -40.5556

9. Simplify 1

Simplify the following expression: $$ \left({6}^{2} - 5\times1\right)2\times1(-5) $$
Correct Answer
$$ -310$$ or -310.000

10. Simplify 2

Simplify the following expression: $$ \left(-3 - 3\right)\left(-5 - 3\right) - 2\frac{2}{3} $$
Correct Answer
$$ \frac{140}{3}$$ or 46.6667


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