Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(1\times3 - 4\times3\right)2\times6(-2) $$
Correct Answer
$$ 216$$ or 216.000

2. Simplify 2

Simplify the following expression: $$ \frac{2(-6)(-2)}{\left(4 + 6\right)\frac{-3}{4}} $$
Correct Answer
$$ \frac{-16}{5}$$ or -3.20000

3. Fractions 1

Simplify the following expression: $$ \frac{2}{4} + \frac{-5}{3} $$
Correct Answer
$$ \frac{-7}{6}$$ or -1.1666666666666667

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-2}{6}}{\frac{3}{2}} $$
Correct Answer
$$ \frac{-2}{9}$$ or -0.2222222222222222

5. Significant figures

1. Write the following to 5 significant figures: 0.058798721
Correct Answer
0.058799 or $$5.8799\times10^{-2}$$
2. Write the following to 5 significant figures: 0.00010899954
Correct Answer
0.00010900 or $$1.0900\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.000828221
Correct Answer
$$8.282\times10^{-4}$$
2. Write the following in standard form to 4 significant digits: 2.44826
Correct Answer
$$2.448\times10^{0}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.229
Correct Answer
$$230\times10^{-3}$$
2. Write the following in preferred standard form to 2 significant digits: 0.000378
Correct Answer
$$380\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ -3 + 4 - \frac{1}{-6} + {\left(-5 - 6\right)}^{2} $$
Correct Answer
$$ \frac{733}{6}$$ or 122.167

9. Simplify 1

Simplify the following expression: $$ \left(1(-3) - 1(-3)\right)2\left(4 - -2\right) $$
Correct Answer
$$ 0$$ or 0.0

10. Simplify 2

Simplify the following expression: $$ {\left(\left(\frac{-3}{-5}\right)\frac{5}{-3}\right)}^{2\left(-3 - 4\right)} $$
Correct Answer
$$ 1$$ or 1.00000


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