Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2(-4)(-3)\left(-5\times5 - \left(1 + -1\right)\right) $$
Correct Answer
$$ -600$$ or -600.000

2. Simplify 2

Simplify the following expression: $$ \frac{5(-3) - 5\times3}{2\frac{6}{1}} $$
Correct Answer
$$ \frac{-5}{2}$$ or -2.50000

3. Fractions 1

Simplify the following expression: $$ \frac{4}{3} + \frac{1}{4} $$
Correct Answer
$$ \frac{19}{12}$$ or 1.5833333333333333

4. Fractions 2

Simplify the following expression: $$ \frac{-4}{6}\frac{2}{4} $$
Correct Answer
$$ \frac{-1}{3}$$ or -0.3333333333333333

5. Significant figures

1. Write the following to 4 significant figures: 204.32401
Correct Answer
204.3 or $$2.043\times10^{2}$$
2. Write the following to 4 significant figures: 0.000021148401
Correct Answer
0.00002115 or $$2.115\times10^{-5}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 243.642
Correct Answer
$$2.4\times10^{2}$$
2. Write the following in standard form to 2 significant digits: 2882.74
Correct Answer
$$2.9\times10^{3}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 9493
Correct Answer
$$9.5\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.7411325
Correct Answer
$$741.13\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{{\left(5 - 2\right)}^{2}}{\left(-6 + -2\right)\left(-1 - -2\right)} $$
Correct Answer
$$ \frac{-9}{8}$$ or -1.12500

9. Simplify 1

Simplify the following expression: $$ {\left(4 - -5\right)}^{2} + \left(4 - -5\right)\left(-5 - 1\right) $$
Correct Answer
$$ 27$$ or 27.0000

10. Simplify 2

Simplify the following expression: $$ {\left(-4 - 2\right)}^{2} + \frac{-2 - 1}{-4 + -4} $$
Correct Answer
$$ \frac{291}{8}$$ or 36.3750


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