Retrieval Practice by Boxed Rockets

Q1)

Toby is a plumber.
He starts a job at 9 am and finishes the job at 4 pm For this job, Toby charges £60 for every hour it takes him to complete this job plus £50 for the materials he uses. Work out how much Toby charges for this job.

$470$

Q2) A 6 sided bias die is rolled and the probabilities are shown below. Calculate x.

\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 \\ 0.1 & x & x & 0.15 & 0.1 & 0.1 \end{matrix}

x = 0.275

Q3) Solve the simultaneous equations below

\begin{matrix} 5 x - 3 y = 0 \\ 4 x - 3 y = -6 \end{matrix}

\begin{matrix} x = 6 \\ y = 10 \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	5	6	7
2	4	5	6	7	8	9
3	5	6	7	8	9	10
4	6	7	8	9	10	11
5	7	8	9	10	11	12
6	8	9	10	11	12	13