Maths Exam

1. Simplify 1

Simplify the following expression: $$ 6\times3 + 4 - -1 - 2\times5\times6 $$
Correct Answer
$$ -37$$ or -37.0000

2. Simplify 2

Simplify the following expression: $$ \frac{\frac{3}{5} + \frac{5}{1}}{{\left(-3 - 5\right)}^{2}} $$
Correct Answer
$$ \frac{7}{80}$$ or 0.0875000

3. Fractions 1

Simplify the following expression: $$ \frac{4}{4} + \frac{-6}{5} $$
Correct Answer
$$ \frac{-1}{5}$$ or -0.19999999999999996

4. Fractions 2

Simplify the following expression: $$ \frac{-6}{4}\frac{2}{3} $$
Correct Answer
$$ -1$$ or -1.0

5. Significant figures

1. Write the following to 4 significant figures: 0.43197876
Correct Answer
0.4320 or $$4.320\times10^{-1}$$
2. Write the following to 3 significant figures: 0.00022855126
Correct Answer
0.000229 or $$2.29\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.00000324894
Correct Answer
$$3.249\times10^{-6}$$
2. Write the following in standard form to 4 significant digits: 1471.88
Correct Answer
$$1.472\times10^{3}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 22050
Correct Answer
$$22.1\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 30.48375
Correct Answer
$$30.484\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{\left(5 - -4\right)\left(5 + 3\right)}{2\times5(-3)} $$
Correct Answer
$$ \frac{-12}{5}$$ or -2.40000

9. Simplify 1

Simplify the following expression: $$ \left(-4 + 2 + 2 - -1\right)2\left(-6 - -2\right) $$
Correct Answer
$$ -8$$ or -8.00000

10. Simplify 2

Simplify the following expression: $$ {\left(6 - -6\right)}^{\left(-5 - 4\right)}2\frac{6}{2} $$
Correct Answer
$$ \frac{6}{{12}^{9}}$$ or 0.00000000116284


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