Retrieval Practice by Boxed Rockets

Q1)

Toby is a plumber.
He starts a job at 12 pm and finishes the job at 4 pm For this job, Toby charges £80 for every hour it takes him to complete this job plus £60 for the materials he uses. Work out how much Toby charges for this job.

$380$

Q2) A 4 sided bias die is rolled and the probabilities are shown below. Calculate x.

\begin{matrix} 1 & 2 & 3 & 4 \\ 0.25 & x & x & 0.05 \end{matrix}

x = 0.35

Q3) Solve the simultaneous equations below

\begin{matrix} x + 4 y = 16 \\ 3 x + 2 y = 18 \end{matrix}

\begin{matrix} x = 4 \\ y = 3 \end{matrix}

Q4) The numbers on the spinners are added, draw a sample space diagram to show all the possible outcomes

Spinner 1

Spinner 2

+	2	3	4
1	3	4	5
2	4	5	6
3	5	6	7
4	6	7	8