Foundation November 2018 Paper 3 Q15
15 Bert has 100 cards.
There is a whole number from 1 to 100 on each card.
No cards have the same number.
Bert puts a star on every card that has a multiple of 3 on it.
He puts a circle on every card that has a multiple of 5 on it.
Work out how many cards have both a star and a circle on them. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 6 | P1 | for listing the multiples of 3 and 5 to at least the number 15 or \(3 \times 5\ (= 15)\) |
| P1 | for considering multiples of 15, eg 4 multiples of 15 identified or \(100 \div 15\) (=6.6..) or an answer of 7 | |
| A1 | cao |
Additional guidance
3, 6, 9, 12, 15 and 5, 10, 15
If in a list of multiples of 3 and 5, multiples of 15 must be clearly identified
Sight of 6.6(…) or \(6\frac{2}{3}\) oe or an answer of 7 gets 2 marks.