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 £50 for the materials he uses. Work out how much Toby charges for this job.

$260$

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

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

x = 0.425

Q3) Solve the simultaneous equations below

\begin{matrix} 2 x - 4 y = 6 \\ 3 x - 2 y = 13 \end{matrix}

\begin{matrix} x = 5 \\ y = 1 \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	8	10	12
1	3	5	7	9	11	13
3	5	7	9	11	13	15
5	7	9	11	13	15	17
7	9	11	13	15	17	19
9	11	13	15	17	19	21
11	13	15	17	19	21	23