Foundation January 2023 Paper 1 Q15
15 Here is a floor plan of a stage.
The plan is formed from a triangle and a rectangle.
Diagram NOT accurately drawn
The stage manager is going to paint the floor.
One tin of paint covers an area of 1.8 m2
One tin of paint costs $16.40
Paint can only be bought in full tins.
The stage manager has $190 to spend.
Does the stage manager have enough money to buy enough tins to paint all of the floor?
Show your working clearly.
(5)
| Scheme | Marks |
|---|---|
\(\dfrac{1}{2} \times 4.8 \times 2.5\) (= 6) oe or 3 × 4.8 (= 14.4) oe or 4.8 × (3 + 2.5) (= 26.4) | M1 |
\(\dfrac{1}{2} \times 4.8 \times 2.5\) (= 6) oe and 3 × 4.8 (= 14.4) oe or [4.8 × (3 + 2.5)] – [0.5 × 2.4 × 2.5 + 0.5 × 2.4 × 2.5] or “26.4” – 6 (= 20.4) or | M1 |
(“6” + “14.4”) ÷ 1.8 (= 11.3…) or “20.4” ÷ 1.8 (= 11.3…) or \(\dfrac{\text{“}6\text{”}}{1.8} + \dfrac{\text{“}8\text{”}}{1.8}\;(3.3... + 8 = 11.3...)\) | M1 |
| “12” × 16.4(0) (= 196.8(0)) or 190 ÷ 16.4 (=11.58…) and “12” | M1 |
| Working required Answer: No and 196.8(0) or 11.58 and 12 seen | A1 |
| (5) | |
| (5 marks) |
Notes
M1: dep on M1 for a method to find the number of tins for their area
M1: dep on previous M1 for a method to calculate the cost for their number of tins (their number of tins must be rounded up to the next integer)
or
the number of tins that can be bought compared with their number of tins
A1: dep on M2
SC B1 for 190 ÷ 16.4(0) if M0 scored