Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-1 - 4\right)\left(-1 + 2\right) - 2\times3\times5 $$
Correct Answer
$$ -35$$ or -35.0000

2. Simplify 2

Simplify the following expression: $$ \frac{{\left(5 + -5\right)}^{2}}{3 + 2 - \frac{5}{-3}} $$
Correct Answer
$$ 0$$ or 0.0

3. Fractions 1

Simplify the following expression: $$ \frac{5}{3} - \frac{-2}{5} $$
Correct Answer
$$ \frac{31}{15}$$ or 2.066666666666667

4. Fractions 2

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

5. Significant figures

1. Write the following to 2 significant figures: 0.045426497
Correct Answer
0.045 or $$4.5\times10^{-2}$$
2. Write the following to 2 significant figures: 0.000032575159
Correct Answer
0.000033 or $$3.3\times10^{-5}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 4771.29
Correct Answer
$$4.77\times10^{3}$$
2. Write the following in standard form to 3 significant digits: 0.0000679999
Correct Answer
$$6.80\times10^{-5}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 60201.12
Correct Answer
$$60.201\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 5163.6
Correct Answer
$$5.164\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \left(4 + -6\right)\left(2 + 4\right) - 2(-4)(-4) $$
Correct Answer
$$ -44$$ or -44.0000

9. Simplify 1

Simplify the following expression: $$ 2\times1(-4)\left(-5\times1 - \left(4 + 1\right)\right) $$
Correct Answer
$$ 80$$ or 80.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2 + 1}{5 - -1}2\times1\times1 $$
Correct Answer
$$ 1$$ or 1.00000


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