Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(2 - 6\right)\left(5 + -1\right) + {\left(-1 + -6\right)}^{2} $$
Correct Answer
$$ 33$$ or 33.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times1(-5)}{{\left(3\times1\right)}^{\left(5 - -2\right)}} $$
Correct Answer
$$ \frac{-10}{2187}$$ or -0.00457247

3. Fractions 1

Simplify the following expression: $$ \frac{-2}{2} + \frac{-3}{5} $$
Correct Answer
$$ \frac{-8}{5}$$ or -1.6

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{3}{3}}{\frac{-5}{6}} $$
Correct Answer
$$ \frac{-6}{5}$$ or -1.2

5. Significant figures

1. Write the following to 2 significant figures: 1953.1934
Correct Answer
2000 or $$2.0\times10^{3}$$
2. Write the following to 3 significant figures: 115.67057
Correct Answer
116 or $$1.16\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 107.765
Correct Answer
$$1.078\times10^{2}$$
2. Write the following in standard form to 2 significant digits: 90.3781
Correct Answer
$$9.0\times10^{1}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 438500
Correct Answer
$$438.5\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 5351.801
Correct Answer
$$5.3518\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ 2(-6)\left(2 + -3 - {(-2)}^{6}\right) $$
Correct Answer
$$ 780$$ or 780.000

9. Simplify 1

Simplify the following expression: $$ \left(4 - 1\right)\left(4 - -1\right) - 2\left(1 - 2\right) $$
Correct Answer
$$ 17$$ or 17.0000

10. Simplify 2

Simplify the following expression: $$ \left(6 + 4\right)\left(-5 - 3\right) + {\left(-6 - 1\right)}^{2} $$
Correct Answer
$$ -31$$ or -31.0000


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