Foundation June 2019 Paper 1 Q18
18 The diagram shows a rectangular garden path.
Wasim is going to cover the path with paving stones.
Each paving stone is a square of side 30 cm.
Each paving stone costs £2.50
Wasim has £220 to spend on paving stones.
Show that he has enough money to buy all the paving stones he needs. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| Accurate figures with supportive working | M1 | for a correct first step eg \(600 \div 30\ (= 20)\) or \(120 \div 30\ (=4)\) or \(600 \times 120\ (=72\,000)\) or \(30 \times 30\ (=900)\) |
| M1 | for finding an appropriate cost \(2.5 \times \text{``}20\text{''}\ (=50)\) or \(2.5 \times \text{``}4\text{''}\ (=10)\) OR number of tiles required \(\text{``}72\,000\text{''} \div \text{``}900\text{''}\ (=80)\) or \(\text{``}4\text{''} \times \text{``}20\text{''}\ (=80)\) OR number they can afford \(220 \div 2.5\ (=88)\) | |
| M1 | for full method to get figures to compare eg cost to tile whole area eg \(\text{``}80\text{''} \times 2.5\) OR number of tiles they need and number they can afford eg \(\text{``}72\,000\text{''} \div \text{``}900\text{''}\) and \(220 \div 2.5\) | |
| A1 | for 200 OR 80 and 88 OR 72 000 and 79 200 OR 132 (cm) OR 660 (cm) SC B2 for answer of 60 |
Additional guidance
For the first M1: Could work in m or cm
For the second M1: Units must be consistent