Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2(-5)(-5) - \left(4 - 6\right)\left(-2 - -3\right) $$
Correct Answer
$$ 52$$ or 52.0000

2. Simplify 2

Simplify the following expression: $$ {\left(3 - -4\right)}^{2} + 3 + 3 - 2\times1 $$
Correct Answer
$$ 53$$ or 53.0000

3. Fractions 1

Simplify the following expression: $$ \frac{-2}{5} - \frac{-5}{2} $$
Correct Answer
$$ \frac{21}{10}$$ or 2.1

4. Fractions 2

Simplify the following expression: $$ \frac{5}{5}\frac{-1}{6} $$
Correct Answer
$$ \frac{-1}{6}$$ or -0.16666666666666666

5. Significant figures

1. Write the following to 5 significant figures: 0.00056486135
Correct Answer
0.00056486 or $$5.6486\times10^{-4}$$
2. Write the following to 3 significant figures: 6337.2751
Correct Answer
6340 or $$6.34\times10^{3}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.00000251985
Correct Answer
$$2.52\times10^{-6}$$
2. Write the following in standard form to 5 significant digits: 0.00000907779
Correct Answer
$$9.0778\times10^{-6}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.000622263
Correct Answer
$$622.26\times10^{-6}$$
2. Write the following in preferred standard form to 5 significant digits: 0.00216748
Correct Answer
$$2.1675\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2\left(-4 - -4\right)}{\frac{2}{-3} + \frac{-2}{-6}} $$
Correct Answer
$$ 0$$ or 0.0

9. Simplify 1

Simplify the following expression: $$ 2(-4) - \left(-3 + -2\right)\left(1 - 5\right) $$
Correct Answer
$$ -28$$ or -28.0000

10. Simplify 2

Simplify the following expression: $$ \frac{\left(-5 + -4\right)\left(1 - -5\right)}{{\left(3 + -5\right)}^{2}} $$
Correct Answer
$$ \frac{-27}{2}$$ or -13.5000


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