Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(2\times4 + 4(-3)\right)2\left(6 - 3\right) $$
Correct Answer
$$ -24$$ or -24.0000

2. Simplify 2

Simplify the following expression: $$ 2\times6\times3\left(\frac{5}{6} + \frac{-3}{1}\right) $$
Correct Answer
$$ -78$$ or -78.0000

3. Fractions 1

Simplify the following expression: $$ \frac{4}{2} + \frac{-5}{3} $$
Correct Answer
$$ \frac{1}{3}$$ or 0.33333333333333326

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-4}{5}}{\frac{1}{4}} $$
Correct Answer
$$ \frac{-16}{5}$$ or -3.2

5. Significant figures

1. Write the following to 2 significant figures: 0.0011331498
Correct Answer
0.0011 or $$1.1\times10^{-3}$$
2. Write the following to 5 significant figures: 0.062659782
Correct Answer
0.062660 or $$6.2660\times10^{-2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.0000192012
Correct Answer
$$1.92\times10^{-5}$$
2. Write the following in standard form to 2 significant digits: 0.640926
Correct Answer
$$6.4\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 778.8
Correct Answer
$$779\times10^{0}$$
2. Write the following in preferred standard form to 5 significant digits: 0.03262805
Correct Answer
$$32.628\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-2 - 5\right)}^{2} + \left(4 - 3\right)\left(-5 - 5\right) $$
Correct Answer
$$ 39$$ or 39.0000

9. Simplify 1

Simplify the following expression: $$ 2\times1(-5)\left(5\times5 - 3(-4)\right) $$
Correct Answer
$$ -370$$ or -370.000

10. Simplify 2

Simplify the following expression: $$ 2(-4)6 - \frac{-2 + 5}{5 - 3} $$
Correct Answer
$$ \frac{-99}{2}$$ or -49.5000


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