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 £70 for every hour it takes him to complete this job plus £75 for the materials he uses. Work out how much Toby charges for this job.

$285$

Q2) A 5 sided bias die is rolled and the probabilities are shown below. Calculate x.

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

x = 0.375

Q3) Solve the simultaneous equations below

\begin{matrix} 2 x + 3 y = 36 \\ 5 x + 3 y = 45 \end{matrix}

\begin{matrix} x = 3 \\ 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	4	6
1	3	5	7
2	4	6	8
3	5	7	9
4	6	8	10
5	7	9	11
6	8	10	12