Mathematics

Evaluate the following using a calculator

$$\frac{0.2031}{\sqrt[3]{17.95}+1.292}$$  

giving your answer correct to 3 decimal places.

Evaluate the following using a calculator

$$\left[-\frac{5}{24}-\left(-\frac{5}{9}\right)\right]\times\left[3\frac{3}{4}\div\frac{3}{8}\right]$$  

giving your answer as a fraction in its lowest term.

Expand and simplify.

$$5\left(2y-3\right)-2\left(7-3y\right)$$  

If $$5600=2^x\times5^y\times7^z$$  , find the value of z.

In a survey, some students chose their favourite animal. Some of the results are shown in the pie chart. [Hamster 54°, Cats 108°]

9 students chose hamster. Work out the total number of students involved in the survey.

[Hamster 54°, Cats 108°]

Work out how many students chose cats as their favourite animal.

[Hamster 54°, Cats 108°]

Calculate the angle of the sector on the pie chart if 23 students chose fish.

Round off 42.59867 to 2 decimal places.

Round off 42.59867 to the nearest ten.

What is the place value of digit 1 in 39.871?