Maths Exam
1.
Simplify 1
Simplify the following expression: $$ {\left(2 - -3\right)}^{2} - \left(-2(-3) + 5 - 4\right) $$
Correct Answer
$$ 18$$ or 18.0000
2.
Simplify 2
Simplify the following expression: $$ 2\times3(-1) - \frac{6}{5}\left(5 - 5\right) $$
Correct Answer
$$ -6$$ or -6.00000
3.
Fractions 1
Simplify the following expression: $$ \frac{6}{5} - \frac{-6}{4} $$
Correct Answer
$$ \frac{27}{10}$$ or 2.7
4.
Fractions 2
Simplify the following expression: $$ \frac{-6}{6}\frac{3}{4} $$
Correct Answer
$$ \frac{-3}{4}$$ or -0.75
5.
Significant figures
1.
Write the following to 4 significant figures: 16.416965
Correct Answer
16.42 or $$1.642\times10^{1}$$
2.
Write the following to 5 significant figures: 0.0021007166
Correct Answer
0.0021007 or $$2.1007\times10^{-3}$$
6.
Standard Form
1.
Write the following in standard form to 5 significant digits: 0.00000187257
Correct Answer
$$1.8726\times10^{-6}$$
2.
Write the following in standard form to 5 significant digits: 420124
Correct Answer
$$4.2012\times10^{5}$$
7.
Significant figures
1.
Write the following in
preferred
standard form to 2 significant digits: 525000
Correct Answer
$$530\times10^{3}$$
2.
Write the following in
preferred
standard form to 2 significant digits: 0.00002836
Correct Answer
$$28\times10^{-6}$$
8.
Simplify 2
Simplify the following expression: $$ {\left(5 + -4\right)}^{2} + 2(-5) - \frac{3}{4} $$
Correct Answer
$$ \frac{-39}{4}$$ or -9.75000
9.
Simplify 1
Simplify the following expression: $$ 1 + 3 - -3(-4) + {\left(2 - 4\right)}^{2} $$
Correct Answer
$$ -4$$ or -4.00000
10.
Simplify 2
Simplify the following expression: $$ 2\frac{4}{6}\frac{2 + 1}{{2}^{-2}} $$
Correct Answer
$$ 16$$ or 16.0000