Retrieval Practice by Boxed Rockets

Q1)

Toby is a plumber.
He starts a job at 1 pm and finishes the job at 4 pm For this job, Toby charges £50 for every hour it takes him to complete this job plus £95 for the materials he uses. Work out how much Toby charges for this job.

$245$

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

\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 \\ 0.15 & 0.1 & 0.05 & x & x & 0.15 \end{matrix}

x = 0.275

Q3) Solve the simultaneous equations below

\begin{matrix} x - 2 y = -4 \\ 3 x + 4 y = 38 \end{matrix}

\begin{matrix} x = 6 \\ y = 5 \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

+	1	2	3	4	5	6
2	3	4	5	6	7	8
4	5	6	7	8	9	10
6	7	8	9	10	11	12