Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(6 - 3 + 2 - -5\right)2(-(-1)) $$
Correct Answer
$$ 20$$ or 20.0000

2. Simplify 2

Simplify the following expression: $$ \left(4 + 2\right)\frac{5}{5} - 2\frac{5}{5} $$
Correct Answer
$$ 4$$ or 4.00000

3. Fractions 1

Simplify the following expression: $$ \frac{-4}{4} - \frac{-2}{3} $$
Correct Answer
$$ \frac{-1}{3}$$ or -0.33333333333333337

4. Fractions 2

Simplify the following expression: $$ \frac{-3}{5}\frac{-3}{6} $$
Correct Answer
$$ \frac{3}{10}$$ or 0.3

5. Significant figures

1. Write the following to 2 significant figures: 2.1994112
Correct Answer
2.2 or $$2.2\times10^{0}$$
2. Write the following to 4 significant figures: 0.000075685826
Correct Answer
0.00007569 or $$7.569\times10^{-5}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.00104144
Correct Answer
$$1.04\times10^{-3}$$
2. Write the following in standard form to 2 significant digits: 1.93529
Correct Answer
$$1.9\times10^{0}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 14260.9
Correct Answer
$$14.26\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 0.000495589
Correct Answer
$$495.6\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2(-3)(-2)}{{\left(-5 - 2\right)}^{\left(6 + 2\right)}} $$
Correct Answer
$$ \frac{12}{{7}^{8}}$$ or 0.00000208160

9. Simplify 1

Simplify the following expression: $$ 4(-1) - \left(2 + 6\right) + {\left(-6 + 1\right)}^{2} $$
Correct Answer
$$ 13$$ or 13.0000

10. Simplify 2

Simplify the following expression: $$ {\left(\frac{1}{3}\right)}^{2} + \left(4 - 4\right)\frac{-1}{-5} $$
Correct Answer
$$ {\left(\frac{1}{3}\right)}^{2}$$ or 0.111111


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