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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A stationery shop records sales of notebooks and pens in two branches. Monday sales are M=[30452550] and Tuesday sales are T=[35402060]. Rows represent Branch 1 and Branch 2; columns represent notebooks and pens.\text{A stationery shop records sales of notebooks and pens in two branches. Monday sales are }M=\begin{bmatrix}30&45\\25&50\end{bmatrix}\text{ and Tuesday sales are }T=\begin{bmatrix}35&40\\20&60\end{bmatrix}.\text{ Rows represent Branch 1 and Branch 2; columns represent notebooks and pens.}
Total: 4 marks

(a) Find the two-day sales matrix M+TM+T. (2 marks)

(b) Find the total number of pens sold by Branch 2 over the two days. (1 mark)

(c) If each notebook costs Rs. 40 and each pen costs Rs. 10, find Branch 1's Monday revenue. (1 mark)

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cbse-math-12.u2.t2-2.case.005

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